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2 years ago

15

What is the solution m<1?

1 answer:

olchik [2.2K]2 years ago

5 0

Answer: D

Step-by-step explanation: becaus elook at it bitlkjmnjhnnjh

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Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation

Vaselesa [24]

Answer:

$\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}$

Step-by-step explanation:

The circumference of a circle with radius $r$ is given by $C=2\pi r$ . The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle $\theta^{\circ}$ is equal to $2\pi r\cdot \frac{\theta}{360}$ .

Formulas at a glance:

Circumference of a circle with radius $r$ : $C=2\pi r$
Length of an arc with central angle $\theta^{\circ}$ : $\ell_{arc}=2\pi r\cdot \frac{\theta}{360}$

<u>Question 1:</u>

The radius of the circle is 12 m. Therefore, the circumference is:

$C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}$

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

$\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}$

<u>Question 2:</u>

In the circle shown, the radius is marked as 2 miles. Substituting $r=2$ into our circumference formula, we get:

$C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}$

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

$\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}$

8 0

3 years ago

The sum of 2 numbers is 45. The larger number y is 6 less than twice the smaller number X. What is the smaller number?

Flauer [41]

Answer:

x+y=45

x+2x-6=45 (equation)

3x=39

x=13=smaller number

3 0

3 years ago

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The distance on a map between two locations is 2.25 inches. If = 24 miles, what the actual distance between the two locations?

almond37 [142]

The answer would be C.

2.25 + 24 = 26.25 miles

5 0

2 years ago

the weight of an empty pickup truck is 2.1 times the weight of an empty empty car weighs 1.8 tons how many tons does a pickup we

ella [17]

4.28 is the answer I think ._.

8 0

3 years ago

Select the equation where x = 6 is a solution.

olga55 [171]

Answer: D 5x=30

Step-by-step explanation

You just substitute 6 into the equations to see if they make the equation true.

8 0

2 years ago

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