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Vera_Pavlovna [14]
4 years ago
13

Express the area of a circle, a, as a function of its circumference, c.

Mathematics
1 answer:
Naddika [18.5K]4 years ago
7 0
Area = PI * radius^2

Circumference = 2 * PI * radius
radius = Circumference / 2 * PI

So, Area = PI * (Circumference / 2 *PI) * (Circumference / 2 *PI)
So, Area = Circumference^2 / (4*PI)

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HeLp mE fast! 5 Stars and Thanks!
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Answer:

6 3/16

Step-by-step explanation:

4 9/16=73/16

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73/16+26/16=99/16=6 3/16

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3 years ago
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

7 0
3 years ago
4. Solve the equation.
shusha [124]

Answer:

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Step-by-step explanation:

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How much more area does a large pizza with a 12 in. diameter have than a small pizza with an 8 in. diameter? Round your answer t
ivolga24 [154]

Answer: About 63 in²

Step-by-step explanation:

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  • r = radius length
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\pi *r^{2} =3.14*6^{2} =3.14*36=113.04

<u>Area of small pizza:</u>

\pi *r^{2} =3.14*4^{2} =3.14*16=50.24

<u>Difference in area:</u>

113.04-50.24=62.8

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By first considering the angles on line abc show that ac is parallel to df​
Finger [1]

Answer:

so you have to use interior and exterior angles to solve

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3 years ago
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