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2 years ago

In the figure below, two secants are drawn to a circle from exterior point U. Suppose that UW=45, UZ=30, and UX=22.5. Find UY

Mathematics

1 answer:

Alex777 [14]2 years ago

3 0

UY = 25

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Variables are taken from the first letter of the color, ex: green = g.

Given:
r = g
2r = b = y
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y = 2r
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3 years ago

Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a

Zielflug [23.3K]

Answer:

The area of the associated sector is $\frac{25}{24}\pi \ in^{2}$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=5\pi\ in$

substitute and solve for r

$5\pi=2\pi r$

$r=2.5\ in$

step 2

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we know that

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=2.5\ in$

substitute

$A=\pi (2.5^{2})=6.25\pi\ in^{2}$

step 3

Find the area of the associated sector

we know that

$2\pi\ radians$ subtends the complete circle of area $6.25\pi\ in^{2}$

by proportion

Find the area of a sector with a central angle of $\pi/3\ radians$

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3 years ago

Jasmine borrowed $15,000 for 8 years and she paid $6,600 in interest. What was the interest rate for Jasmine's loan?

weeeeeb [17]

Answer:

5.5%

Step-by-step explanation:

To find the interest rate, use the equation: I = prt

I = Interest = $6,600

p = principal = $15,000

r = rate = unknown

t = time = 8 years

Now plug the numbers into the equation.

6,600 = 15,000 * r * 8

6,600 = 120,000 * r

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2 years ago

In the figure below, two secants are drawn to a circle from exterior point U. Suppose that UW=45, UZ=30, and UX=22.5. Find UY​

In the figure below, two secants are drawn to a circle from exterior point U. Suppose that UW=45, UZ=30, and UX=22.5. Find UY