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IRISSAK [1]
3 years ago
8

The endpoints of a circle's diameter are (5, -4) and (5, 4). What is the area of the circle in terms of pi?

Mathematics
1 answer:
masha68 [24]3 years ago
5 0

Answer:

Step-by-step explanation:

d and r are the diameter and radius, respectively.

d = 8 units

r = 8/2 = 4 units

area = πr² = 16π square units.

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For f(x) = x2 + 2x + 3, and g(x) = x2 + 5, Find F(g(2)).
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Answer:

f(g(2)) = 102

Step-by-step explanation:

f(x) and f(g(2))

As we can see, we can find g(2) and substitute this value into

f(x)=x² + 2x + 3 instead of x.

g(x) = x² + 5,  g(2) = 2² + 5 = 9

f(x)=x² + 2x + 3

f(9)=9² + 2*9 + 3= 102

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What is the surface area of the cube shown?<br> square centimeters
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Step-by-step explanation:

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Determine the slope of 3x-4y=12
irakobra [83]

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3/4

Step-by-step explanation:

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3 years ago
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As part of his retirement strategy, John plans to invest $210,000 in two different funds. He projects that the moderately high r
Maslowich

Answer:

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

Step-by-step explanation:

Given John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, overtime 9% per year,while low risk investments should return about 4% per year.

He wants a supplemental income of$11,400 a year.

Let , he invested $x at 9% per year and $(210,000-x) at 4% per year.

interest=\frac{prt}{100}   p = principle , r = rate of interest and t = time

The interest earns at 9% per year= \frac{x\times 9\times 1}{100}

The interest earns at 4% per year=\frac{(210,00-x)\times 4 \times 1}{100}

According to the problem,

\frac{x\times 9\times 1}{100}+\frac{(210,00-x)\times 4 \times 1}{100}= 11400

\Leftrightarrow 9x+840000-4x=11400 \times 100

\Leftrightarrow 5x=1140000-840000

\Leftrightarrow x=\frac{300000}{5}

\Leftrightarrow x=60,000

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

7 0
3 years ago
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The numbers that are divisible by 1 and the number itself is called a prime number. Eg: 1,2,3,5,7,11,13,17,19
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