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2 years ago

14

Most U.S. households spend about 5% of their income on entertainment. Which of the following are equivalent to 5%? Choose all eq

uivalent expressions.
1/20
1/5
1/2
0.05
0.005

1 answer:

yawa3891 [41]2 years ago

4 0

Answer:

The answer is 0.05

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measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

$s=r\theta$

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

$c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43$

So, radius = 6.34

Now, finding central angle:

$s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians$

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

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Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1

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Assuming the function is

$f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}$

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$\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2$

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The correct answer is 4

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Answer:

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