3 years ago

What is the best estimate of 4.92 times 9.86

Mathematics

1 answer:

marshall27 [118]3 years ago

5 0

the exact answer is 48.5 or in standard calculator form 48.5112

bai

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If sinA =3/5 and A+B =90 find cosB

-Dominant- [34]

$A+B=90^o\to B=90^o-A\\\\\cos B=\cos(90^o-A)=\cos90^o\cos A+\sin90^o\sin A\\\\=\cos A+1\cdot\dfrac{3}{5}=0+\dfrac{3}{5}=\dfrac{3}{5}\\\\\boxed{\cos B=\dfrac{3}{5}}$

$Used:\\\\\cos(x+y)=\cos x\cos y+\sin x\sin y\\\\\cos90^o=0,\ sin90^o=1$

Other method:

Look at the picture.

$\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\sin A=\dfrac{3}{5}\to opposite=3\ and\ hypotenuse=5$

$\cos\theta=\dfrac{adjacent}{hypotenuse}\\\\adjacent=3\ and\ hypotenuse=5\to\cos B=\dfrac{3}{5}$

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2 years ago

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dusya [7]

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Step-by-step explanation:

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Math question please help!! thank you if you help

algol [13]

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2 years ago

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Write the equation of a line that passes through the point (-6, 8) and has a slope of 3.

MakcuM [25]

Answer:

Step-by-step explanation:

y - 8 = 3(x + 6)

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2 years ago

You deposit $5000 in an account earning 3% interest compounded monthly. How much will you have in the account in five years?

rusak2 [61]

Answer:

$5808.08

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value

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R = interest rate = 0.03

N = number of years = 5

m = number of compounding = 12

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3 years ago