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iVinArrow [24]
3 years ago
15

Calculate the value of the indicated angle.

Mathematics
1 answer:
allsm [11]3 years ago
8 0

Answer:

56°

Step-by-step explanation:

Using the sine ratio in the right triangle, that is

sin ? = \frac{opposite}{hypotenuse} = \frac{10}{12} , then

? = sin^{-1} (\frac{10}{12} ) ≈ 56° ( to the nearest degree )

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We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.

We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.

We will use exponential growth function to solve our given problem.

An exponential growth function is in form y=a(1+r)^x, where

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

3\%=\frac{3}{100}=0.03

We can see that initial value is $160. Upon substituting our given values in above formula, we will get:

y=160(1+0.03)^x

y=160(1.03)^x

To find amount of money in Clare's account after 30 years, we need to substitute x=30 in our equation.

y=160(1.03)^{30}

Therefore, the expression 160(1.03)^{30} represents the amount of money that Clare would have after 30 years.

8 0
3 years ago
Questions on file. Thx.<br>Pls number questions to answer
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Second one
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3 years ago
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243.875 rounded to the nearest tenth is...... 243.9 :)
243.875 rounded to the nearest hundredth is ...... 243.88 :)
243.875 rounded to the nearest ten is ...... 240 :)
243.875 rounded to the nearest hundred is ......200 :)

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Bakery rolls are being prepared to go to grocery stores. Divide 72 rolls into 2 groups so the ratio is 3 to 5.
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Step-by-step explanation:

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