Trabalho 2

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    1. DETERMINE A REA DO CRCULO E O COMPRIMENTO DACIRCUNFERNCIA NOS CASOS:

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    2. DETERMINE A REA DA COROA CIRCULAR NOS CASOS:

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    3. DETERMINE A REA DE CADA SETOR CIRCULAR, SENDO 6 M ORAIO.

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    4. DETERMINE A REA DO TERRENO PLANO USANDO ASMEDIDAS DADAS.

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    C)

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    D)

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    E)

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    G)

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    H)

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    I)

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    5. QUAL A REA DO MATERIAL USADO PARA FAZER ASQUATRO BANDEIRINHAS? R: 43 2

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    6. UM TERRENO TEM A FORMA DE UM TRAPZIO DE BASES 20 ME 14 M, E ALTURA 11 M. NESSE TERRENO, CONSTRUIU-SE UMAPISCINA RETANGULAR DE 8 M POR 5 M. NO RESTANTE DOTERRENO FORAM COLOCADAS PEDRAS. QUAL FOI A REA ONDECOLOCOU PEDRA?________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    7. DE UMA PEA QUADRADA (VER FIGURA) DE MADEIRA DE 2,2M DE LADO, UM MARCENEIRO RECORTOU UM TAMPO DE MESAPERFEITAMENTE REDONDO, COM O MAIOR DIMETROPOSSVEL. QUAL A REA APROXIMADA, EM METROSQUADRADOS, DESSE TAMPO DE MADEIRA?R: 3,8 M2.

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    8. UM TERRENO TEM A FORMA TRIANGULAR, SEUS LADOSMEDEM 33 M, 27 M E 18 M.DE NESSE TERRENO, CONSTRUIU-SEUM PISCINA CIRCULAR DE RAIO 1,8 M. NO RESTANTE DOTERRENO FORAM COLOCADAS GRAMA. QUANTOS METROSQUADRADOS DE GRAMA SERO USADOS?________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    9. NA FIGURA, DM = MN = NC. CALCULE A REA DA REGIOSOMBREADA R: 40 CM2.

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    10. NUMA CIDADE, A PRAA PRINCIPAL TEM A FORMA DE UMCRCULO INSCRITO NUM QUADRADO. DE LADO 100 M. APREFEITURA DESSA CIDADE, DESEJANDO GRAMAR OCONTORNO DA PRAA, REALIZOU UMA LICITAO PBLICA,CUJA EMPRESA VENCEDORA SERIA AQUELA QUE COBRASSE OMENOR PREO POR METRO QUADRADO. SABENDO QUE AEMPRESA VENCEDORA COBROU UM TOTAL DE R$ 55.900,00 PELOSERVIO, ENTO O PREO COBRADO POR ELA, PELO METROQUADRADO? R: R$ 26,00.__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    11. DE UMA PLACA DE ALUMNIO FOI RECORTADA UMA REGIOTRIANGULAR EQUILTERA DE LADO 20 CM. QUAL A READESSA REGIO QUE FOI RECORTADA? 1003 2.____________________________________________________________________________________________________________________________

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    12. ALGUNS JORNAIS CALCULAM O NMERO DE PESSOAPRESENTES EM ATOS PBLICOS CONSIDERANDO QUE CADAMETRO QUADRADO OCUPADO POR 4 PESSOAS. QUAL AESTIMATIVA DO NMERO DE PESSOAS PRESENTES NUMAPRAA DE 4 000 M2 QUE TENHA FICADO LOTADA PARA UMCOMCIO, SEGUNDO ESSA AVALIAO? SE A PRAA RETANGULAR E O COMPRIMENTO O DOBRO DA LARGURA,QUAIS AS DIMENSES DA PRAA? R: 16 000________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    13. UMA CESTA DE LIXO (VER FIGURA) TEM POR FACESLATERAIS TRAPZIOS ISSCELES E POR FUNDO UM QUADRADODE 19 CM DE LADO. DESPREZANDO A ESPESSURA DA MADEIRA.QUANTOS METROS QUADRADOS DE MADEIRA FORAMNECESSRIOS PARA FABRICAR ESSA CESTA DE LIXO? R: 0,3121

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    14. O PISO (FUNDO) DE UMA PISCINA CIRCULAR TEM 2,80 M DEDIMETRO. QUAL A REA DO PISO DESSA PISCINA? R: 1,96M2.______________________________________________________________

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    ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________15. UM MAPA FEITO EM UMA ESCALA DE 1 CM PARA CADA 200KM. O MUNICPIO ONDE ENCONTRA A CAPITAL DE CERTOESTADO EST REPRESENTADO, NESSE MAPA, POR UM LOSANGOQUE TEM UM NGULO DE 120 E CUJA DIAGONAL MENOR 0,2 CM.

    DETERMINE A REA DESSE MUNICPIO. R: 8003 2____________________________________________________________________________________________________________________________

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    16. UMA COZINHA TEM 2,5 M DE LARGURA POR 4 M DECOMPRIMENTO, E AS PAREDES TM 2,60 M DE ALTURA. SABE-SETAMBM QUE ELA TEM UMA JANELA, COM 0,90 M DE LARGURAPOR 1,20 M DE ALTURA, E DUAS PORTAS, CADA UMA TENDO 0,80

    M DE LARGURA POR 2 M DE ALTURA INCLUDAS A ASMEDIDAS DE SUAS MOLDURAS. SE AS QUATRO PAREDES DEVEMSER REVESTIDAS DE AZULEJOS QUADRADOS, CADA QUAL COM20 CM DE LADO, QUAL O NMERO MNIMO DE AZULEJOS QUEDEVERO SER USADOS? R: 738__________________________________________________________________________________________________________________________________________________________________________________________

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    17. O PERMETRO DO QUADRADO ABCD DA FIGURA AO LADO 32 CM. CALCULE A REA DA REGIO SOMBREADA DA FIGURA.R: 16(4 - ) CM2.

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    18. A PARTE FRONTAL DE UM PORTA-RETRATOS COMPOSTODE UMA FAIXA DE METAL QUE TEM 3 CM DE LARGURA. ELETEM A FORMA DE UMA RETNGULO CUJA DIAGONAL MEDE 25CM, E SUA LARGURA EXCEDE A ALTURA EM 5 CM. DETERMINEA REA DA PARTE VISVEL DA FOTOGRAFIA QUE EST NOPORTA-RETRATOS. R: 126 CM2.____________________________________________________________________________________________________________________________

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    19. INDAGADO SOBRE AS DIMENSES DE SUA FAZENDA,EUCLIDES, ADEPTO DAS CURIOSIDADES MATEMTICAS,INFORMOU QUE ELA ABSOLUTAMENTE RETANGULAR, QUEPOSSUI UMA REA DE 50 KM2 E QUE TODO O SEU CONTORNOMEDE 30 KM. QUAL A MEDIDA, EM KM, DO MAIOR LADO DAFAZENDA? R: 10____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    20. AO LADO ENCONTRA-SE A PLANTA DE UMA FAZENDA,SITUADA EM UMA PLANCIE. O DONO DESEJA CERCA-LA, E OCUSTO DO METRO DE CERCA R$ 10,00. QUANTOS MIL REAIS ODONO IR GASTAR COM A CERCA? QUAL REA A SERCERCADA? R: 80.

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    21. PARA A REALIZAO DE UM ESPETCULO, FOI MONTADOUM TABLADO CUJA SUPERFCIE TEM A FORMA DE UM TRAPZIOISSCELES, COM AS SEGUINTES DIMENSES: A BASE MENORTEM 4 M DE COMPRIMENTO, A MAIOR TEM 22 M E OS LADOSNO PARALELOS MEDEM 15 M. QUAL A REA DA SUPERFCIEDESSE TABLADO? R: 156 M2.____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    22. O TAMPO DE UMA MESA TEM FORMA DE UM HEXGONOREGULAR DE LADO 0,8 M. CALCULE A REA DA SUPERFCIEDESSA MESA.R:1,66 M2.________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    23. NA FIGURA TEM-SE A REPRESENTAO DE UM TERRENO

    COM FRENTE PARA DUAS RUAS, FEITO NUMA ESCALA DE

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    A) QUAL A MEDIDA, EM METROS, DA

    FRENTE PARA A RUA 03 DE OUTUBRO?___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    B) QUAL AREA DESSE TERRENO EM METROS QUADRADOS? R:80 M2 E 32003M2.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    24. UM AGRICULTOR LEVA 3 H PARA LIMPAR UM TERRENOCIRCULAR DE 5 M DE RAIO. SE O RAIO DO TERRENO FOSSEIGUAL A 10 M, LEVARIA QUANTO TEMPO?R: 12 H.____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    EXERCCIOS APLICADOS EXERCICIO COM O CUSTO TOTAL DE1000 M DE CERCA(POSTE, ARAME, MO DE OBRA)

    1. UM RESERVATRIO PARA ARMAZENAMENTO DE LEITE, NAFORMA RETANGULAR, TEM 10 M DE COMPRIMENTO, 15 M DELARGURA E 3 M DE ALTURA, DEVE SER REVESTIDO COMALUMNIO, EXCETO NA PARTE SUPERIOR. QUANTO M2 DEALUMNIO SER GASTO?R: 300 M2.____________________________________________________________________________________________________________________________

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    2. UMA REA DE PASTAGEM TEM 114 HA E SER DIVIDIDA EM 8PIQUETES IGUAIS. A) QUAL A REA EM M2 DE CADA PIQUETE?B) SE CADA PIQUETE QUADRADO QUAL MEDIDA DOS SEUSLADOS?R: 142 500 M2; 377,49 M X 377,49 M.________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    3. EM UM PIQUETE NA FORMA DE TRAPZIO DE BASES 90 M E 120M E ALTURA 50 M H 1 500 CAPRINOS, QUANTOS M2 OCUPA UMCAPRINO?R: 6 M2.________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    4. UMA REA DE SOMBRA NATURAL CIRCULAR E TEM 30 M DEDIMETRO. CONSIDERANDO O CONFORTO TRMICO PARAVACAS LACTANTES (1 VACA PARA CADA 4 M2) QUANTASVACAS DEVEM OCUPAR ESTA REA?R: 176 VACAS.________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    5. DEVE-SE CERCAR UMA CHCARA QUADRADA DE 1 HA COMEUCALIPTO. SE UMA MUDA DE EUCALIPTO DEVE SERPLANTADA A 2,5 M DA OUTRA. QUANTAS MUDAS SEROPLANTADAS?R: 160 MUDAS.__________________________________________________________________________________________________________________________________________________________________________________________

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    6. DEVE-SE CERCAR COM CERCA PARAGUAIA DE 6 FIOS UMALAVOURA DE 10 HA, SENDO QUE O COMPRIMENTO DA REA TRIPLO DA SUA LARGURA. SE CADA POSTE DA CERCA FORCOLOCADO A DISTNCIA DE 5 M DO OUTRO. A) QUANTOSPOSTES SERO USADOS? B) E QUANTOS METROS DE ARAMESERO GASTOS PARA A CERCA?R: 293 POSTES E 8 763,56 M.____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    7. RVORES DE EUCALIPTOS SERO PLANTADAS EM LINHARETA, COM FINALIDADE DE SOMBREAMENTO PARA BOVINOS. OESPAAMENTO ENTRE CADA EUCALIPTO DEVE SER DE 1,5 M E ADISTNCIA ENTRE AS LINHAS SO DE 20 M. QUANTAS MUDASSERO NECESSRIAS PARA UMA REA QUADRADA DE 1 HA? R:334 MUDAS.

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    8. EM UMA PLANTAO DE EUCALIPTO, O ESPAAMENTOENTRE PLANTAS DE 2 M E O ESPAAMENTO ENTRE RUAS DE2,5 M. EM UMA REA RETANGULAR DE 110 M POR 250 M,QUANTAS MUDAS SERO NECESSRIAS?R: 5 500 MUDAS.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    9. EM UMA GRANJA DE FRANGO DE CORTE, O MANEJO DEPINTINHOS DE 1 A 7 DIAS, DEVE SER REALIZADO EM PINTEIROSCIRCULARES DE 3 M DE RAIO PARA 500 A 700 AVES. A) QUALREA MXIMA E MNIMA POR PINTO? B) QUANTOS PINTOS PORM2? R: MNIMA: 0,04 M2/PINTO E MXIMA:0,06 M2/PINTO; 17 A 25AVES.______________________________________________________________

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    10. EM UMA GRANJA H UM GALPO RETANGULAR DE 12,5 MPOR 125 M, SER COLOCADO PINTOS DE 1 A 7 DIAS. DEVE-SECOLOCAR 15 AVES/M2, QUANTAS AVES CABEM NO GALPO? R:23 437 AVES.____________________________________________________________________________________________________________________________

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    11. EM UMA GRANJA H UM GALPO RETANGULAR DE 11,5 MPOR 100 M, SER COLOCADO FRANGOS DE 45 DIAS. DEVE-SE

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    COLOCAR 35 AVES/M2, QUANTAS AVES CABEM NO GALPO? R:40 250 AVES.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    12. EM UMA GRANJA DE FRANGO DE CORTE, NA FASE DE CRIA(AVES COM 45 DIAS) 40 AVES DEVEM OCUPAR A REA DE 100 CMPOR 80 CM.A) QUANTOS CM2 SER OCUPADO POR AVE?________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    B) QUANTAS AVES DEVEM TER POR M2?______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    C) EM UM GALPO RETANGULAR DE 15 M POR 90,5 M CABE

    QUANTAS AVES? R: 50 AVES/M2.__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    13. EM UMA GRANJA DE FRANGO, NA FASE DE RECRIA (AVESCOM 45 A 130 DIAS) 12 FRANGAS DEVEM OCUPAR A REA DE 100CM POR 45 CM.A) QUANTOS CM2 SER OCUPADO POR AVE?________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    B) QUANTAS AVES DEVEM TER POR M2?____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    C) EM UM GALPO RETANGULAR DE 15 M POR 90,5 M CABEQUANTAS AVES? R: 26,6 AVES/M2.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    14. EM UMA GRANJA DE FRANGO, NA FASE DE RECRIA 8POEDEIRAS OCUPAR A REA DE 100 CM POR 45 CM.A) QUANTOS CM2 SER OCUPADO POR AVE?______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    B) QUANTAS AVES DEVEM TER POR M2? C) EM UM GALPORETANGULAR DE 15 M POR 90,5 M CABE QUANTAS AVES? R: 17,7AVES/M2.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    15. USANDO A TABELA RESOLVA AS QUESTES A SEGUIR:

    1) UM CAMINHO GAIOLA BOIADEIRO PARA TRANSPORTE DEBOVINOS, TEM AS SEGUINTES MEDIDAS: 2,50 M DE LARGURAPOR 10,6 M DE COMPRIMENTO, QUANTOS ANIMAIS DE 400 KGDEVEM SER TRANSPORTADOS VISANDO O MENOR NDICE DEHEMATOMAS NA CARCAA?R: 23 ANIMAIS.

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    2) UM CARRETA GAIOLA PARA TRANSPORTE DE BOVINOS, TEMAS SEGUINTES MEDIDAS: 2,60 M DE LARGURA POR 15,5 M DECOMPRIMENTO, QUANTOS ANIMAIS DE 400 KG DEVEM SERTRANSPORTADOS VISANDO O MENOR NDICE DE HEMATOMASNA CARCAA? ?R: 35 ANIMAIS.______________________________________________________________

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    16. A DENSIDADE IDEAL PARA SEMEADURA DE GRAMNEAS DE 10 A 20 PLANTAS/M2. SE A REA DE PLANTIO TEM A FORMA

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    DE UM TRINGULO DE LADOS 150 M, 100 M E 65 M, QUAL AQUANTIDADE MXIMA E MNIMA DE PLANTAS DE GRAMNEANESTA REA?R:125 A 251 PLANTAS/M2.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    17. A TABELA MOSTRA A TAXA DE SEMEADURA DE ESPCIESFORRAGEIRAS.

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    A) EM UMA REA DE 5 HA, QUANTOS KG DE SEMENTE DEANDROPOGON DEVE SER PLANTADO? QUANTAS SEMENTES?R:12,5 KG; 4 500 000 SEMENTES.________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    B) EM UMA REA DE 9 ALQUEIRES, QUANTOS KG DE SEMENTEDE SETARIA DEVE SER PLANTADO? QUANTAS SEMENTES? R:65,34 KG; 97 356 600 SEMENTES.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    C) EM UMA REA DE 2,5 HA, QUANTOS KG DE SEMENTE DETANZNIA DEVE SER PLANTADO? QUANTAS SEMENTES? R: 4 KG;3 840 000 SEMENTES________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    D) EM UMA REA DE 55 555 M2, QUANTOS KG DE SEMENTE DEBRACHIARIA BRIZANTHA DEVE SER PLANTADO? QUANTASSEMENTES?R: 15,56 KG; 2 333 310 SEMENTES.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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    E) EM UMA REA DE 100 ALQUEIRES, QUANTOS KG DE SEMENTEDE PASPALUM PENSACOLA DEVE SER PLANTADO? QUANTASSEMENTES?R:726 KG; 442 860 000 SEMENTES.__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

    F) EM UMA REA CIRCULAR DE 145 M DE DIMETRO, QUANTOS

    KG DE SEMENTE DE BRACHIARIA HUMIDICOLA DEVE SERPLANTADO? QUANTAS SEMENTES? R:4,13 KG;1 114 627SEMENTES.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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