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3 years ago

39. Find the length of each arc shown in red. Leave your answer in simplified radical form.

Mathematics

1 answer:

andre [41]3 years ago

6 0

Answer:

The length of the arc shown in red is $\frac{22}{9}\pi\ in$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=4\ in$

substitute

$C=2\pi (4)$

$C=8\pi\ in$

step 2

Find the length of the arc in red

Remember that the length of the circumference subtends a central angle of 360 degrees

by proportion find the length of the arc by a central angle of 110 degrees

$\frac{8\pi}{360}=\frac{x}{110}\\ \\x=8\pi*110/360\\ \\x=\frac{880}{360}\pi\ in$

Simplify

$\frac{880}{360}\pi=\frac{22}{9}\pi\ in$

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Answer:

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Step-by-step explanation:

f(x)=7/2x(x+3)(x-9)

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2 years ago

during a bike challenge, riders have to collect various colored ribbons. each 1/2 mile they collect a red ribbon, each 1/8 mile

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The correct answer is: 
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Explanation: 
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We can divide fractions to determine if $\frac{3}{4}$ is a multiple of $\frac{1}{2}$ :
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3 years ago

Read 2 more answers

What is is 1/4 + 9/10y -3/5y +7/8 written in simplest form?

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Answer:

Step-by-step explanation:

$\frac{1}{4}+\frac{9}{10}y - \frac{3}{5}y+\frac{7}{8}\\\\=\frac{1}{4}+\frac{7}{8}+\frac{9}{10}y-\frac{3}{5}y\\\\$

Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8

9/10y and -3/5y are like terms and LCD of 10 , 5 is 10

$= \frac{1*2}{4*2}+\frac{7}{8}+\frac{9}{10}y-\frac{3*2}{5*2}y\\\\=\frac{2}{8}+\frac{7}{8}+\frac{9}{10}y-\frac{6}{10}y\\\\=\frac{9}{8}+\frac{3}{10}y$

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2 years ago

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3 years ago

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For Ray, do exactly the same things you did for Beth but put in his earnings.

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3 years ago