MATHEMATICS MIDDLE SCHOOL

Determine the length of arc JL.A)
25
9
π
B)
5
13
π
C)
25
18
π
D)
14
17
π

Answers

Answer 1

Answer:

The length of arc JL is $(25)/(18) \pi$ So option c is correct.

Solution:

Given, from the diagram, radius of the given circle is 2 units.

And, the angle between the radius JK and KL is 125 degrees.

We have to find the length of the minor arc formed by JL

The length of arc is given as:

$\text { Length of arc }=2 \pi r\left((\theta)/(360)\right)$

where $\theta$ is angle between radii formed by points with centre

Now the length of arc JL is:

$=2 \pi * 2 * (125)/(360)=4 \pi * (125)/(360)=\pi * (125)/(90)=(25)/(18) \pi$

Hence, the length of are JL is $(25)/(18) \pi$ so option c is correct.

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What is the measure of PRQ?

Answers

Answer:

The correct answer is option C. 86°

Step-by-step explanation:

From the figure we can see a circle.

To find the measure of <PRQ

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<PRQ = <PTR + <RPT

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<PTR = 102/2 = 51

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<PRQ = <PTR + <RPT

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The distance from a driveway to the closest house is 12,672 feet. How far is that in miles?A) 2.2 miles
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C) 4.2 miles
D) 12 miles

Answers

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Answers

Hello there!
Point A is (-4,2)
Point B is (3,5)
Point C is (-2,-4)
Point D is (-3,1)
Point E is (0,-2)

To answer these questions, all you have to do is look at the x and y coordinate planes. X is horizontal and Y is vertical.
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Point B: (3,5)
Point C: (-2,-4)
Point D: (-3,1)
Point E: (0,-2)

A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet long. How tall is a man who can cast a shadow that is 14 feet long? Solve this problem by setting up a proportion. Show your work.