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Darya [45]
3 years ago
12

A circle is cut from a square piece of cloth, as shown: How many square inches of cloth are cut from the square? (π = 3.14)

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0

Answer:

2122.64 in^2

Step-by-step explanation:

Use the formula for the area of a circle: A=πr^2

The radius will be half the width of the cloth so 52÷2=26

26^2=676

Multiply by π given as 3.14

676×3.14=2122.64 square inches.

The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.

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What is the area of the figure shown?
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Check the picture below.

now, we're making an assumption that, the two blue shaded region are equal in shape, and thus if that's so, that area above the 14 is 6 and below it is also 6, 14 + 6 + 6 = 26.

so hmm if we simply get the area of the trapezoid and subtract the area of the yellow triangle and the area of the cyan triangle, what's leftover is what we didn't subtract, namely the shaded region.

\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}

8 0
2 years ago
Use powers to rewrite these problems: Example: 5 x 5 = 52
jeyben [28]

Answer:

<u>Problem A</u>

5 * 5 * x * x * x

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<u>Problem B</u>

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<u>Problem C</u>

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3 years ago
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<span>Hola, hablas español?</span>
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3 years ago
If f(x) = 5x, what is f–1(x)?
Verdich [7]
We are given f(x) = 5x
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Step 1:
Replace f(x) by y.
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Step 2:
Isolate x
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x = y/5

Step 3:
Replace x by f'(y)
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Step 4:
Replace all occurrences of y by x.
So,

f'(x) = x/5

Therefore, the inverse of f(x) = 5x is f'(x) = x/5
7 0
4 years ago
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