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Schach [20]
3 years ago
15

What is the area if the circular shadow of the hot air balloon?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0
The formula of Area is " A = (<span><span>π)(r*2) ". Now that we know that the only thing we need to do is plug in. In the image shows that the diameter is 56, so to find the radius you need to divide it by 2, which is 28. Then 28 to the second power time pi. 

A = </span></span><span><span>π(28*2)

A = </span></span><span><span>π(784)

A = 2463</span></span>
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Jlenok [28]

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2 years ago
Find the values of m and b that make the following function differentiable.
KengaRu [80]

f(x)=\begin{cases}x^2&\text{for }x\le2\\mx+b&\text{for }x>2\end{cases}

In order to be differentiable everywhere, f must first be continuous everywhere, which means the limits from either side as x\to2 must be the same and equal to f(2). By definition, f(2)=2^2=4, and

\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2}x^2=4

\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2}(mx+b)=2m+b

so we need to have 4m+b=4.

For f to be differentiable at x=2, the derivative needs to be continuous at x=2, i.e.

\displaystyle\lim_{x\to2^-}f'(x)=\lim_{x\to2^+}f'(x)

We then need to have

\displaystyle\lim_{x\to2}2x=\lim_{x\to2}m\implies\boxed{m=4}

Then

2m+b=4\implies\boxed{b=-4}

7 0
3 years ago
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lana [24]
2 which is the height and 15 would be the width.

3 0
3 years ago
What is another way to write the absolute value inequality lp|&lt;1 2?
PIT_PIT [208]

Answer:

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8 0
3 years ago
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Answer:

62.2x=y

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7 0
3 years ago
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