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Sliva [168]
3 years ago
11

The head of a nail is circular, as shown. The head of this nail has a diameter of 6 millimeters. What is the approximate measure

ment of the area of the head of the nail in square millimeters (mm2)? Use 3.14 to approximate, do not round your answer. Show work

Mathematics
1 answer:
mel-nik [20]3 years ago
6 0

Answer:

28.26 mm2

Step-by-step explanation:

Area = Pi r^2

diameter is 6 so radius is 3

3x3= 9

9 x 3.14 = 28.26 mm2

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The answer for that equation is A. 16.
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Given the system of equations, what is the y-coordinate of the solution?5x - 4y = 7x = 5 - y
sveticcg [70]
5x - 4y = 7
x = 5 - y

5(5 - y) - 4y = 7
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Paul has $40000 to invest. His intent is to earn 9% interest on his investment. He can invest part of his money at 6% and part a
Black_prince [1.1K]

Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.

<em><u>Explanation</u></em>

Suppose, the amount of money at 6% interest is x

As Paul has total $40000 to invest, so the amount of money at 10% interest will be: (40000-x) dollar

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0.06x+0.10(40000-x)=0.09*40000\\ \\ 0.06x+4000-0.10x=3600\\ \\ -0.04x=3600-4000=-400\\ \\ x=\frac{-400}{-0.04}=10000

So, Paul needs to invest <u>$10000 at 6% interest</u> and ($40000- $10000) or <u>$30000 at 10% interest </u>to make a total of 9% return on his $40000.

3 0
3 years ago
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a half of whats johns age was 4 years ago is equal to one third of what will be in 5 years time. how old is john now?
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8 0
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Answer:

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\frac{y}{{y}^{2}-2(y)(1)+{1}^{2}}+\frac{6}{{y}^{2}+6y-7}

2)  Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}.

\frac{y}{{(y-1)}^{2}}+\frac{6}{{y}^{2}+6y-7}

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1 - Ask: Which two numbers add up to 6 and multiply to -7?

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5)  Expand.

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6) Collect like terms.

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7) Simplify  {y}^{2}+(7y+6y)-6y  to  {y}^{2}+13y-6y

\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}

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