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sweet-ann [11.9K]
3 years ago
14

Find the radius of the circle of the shaded sector has an area of 5pi and a central angle of 2pi/5 rads Please include steps !!!

Mathematics
2 answers:
miskamm [114]3 years ago
7 0

Answer:

5 units

Step-by-step explanation:

Area of sector = ½ × r² × theta

5pi = ½ × r² × 2pi/5

r² = 5pi × 2 × 5/2pi

r² = 25

r = 5

Lerok [7]3 years ago
5 0

Answer:

r=5

Step-by-step explanation:

The area of a sector is found by

A = 1/2 r^2 theta  where theta is in radians

We know the area and we know theta

5pi = 1/2 r^2 (2 pi/5)

5pi = r^2  pi/5

Multiply each side by 5/pi to isolate r^2

5/pi * 5pi = r^2  pi/5 * 5/pi

25 = r^2

Take the square root of each side

sqrt(25) = sqrt(r^2)

5 =r

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The value of x is ?
allsm [11]
Answer: X = 42

Steps:
(3x + 12) + x = 180
3x + 12 + x = 180
4x + 12 = 180
4x = 180 - 12
4x = 168
x = 168/4
x = 42

Check:
(3x + 12) + x = 180
3x + 12 + x = 180
3(42) + 12 + 42 = 180
126 + 12 + 42 = 180
180 = 180 ✅

I would appreciate the brainliest if this was correct and had helpful & clear steps! :)
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2 years ago
Convert the following temperatures from Fahrenheit to Celsius or vice versa. a. 90°F b. 55°C c. -20°C a. 90°F=| °C Туре an integ
denis-greek [22]

Answer:

a. 32,2°C

b. 131 °F

c. -28,9°C

Step-by-step explanation:

We must consider the following formula:

(x-32) × 5/9 = y , where x= temperature in °F an y= temperature in °C

Then,

a) In the formula we replace x=90° F, and we have: y = (90-32)× 5/9 = 32,2 °C

b)  In the formula we replace y=55° C, and we have: 55 = (x-32)× 5/9 ⇒ 55×9/5 =x-32 ⇒ x=(55×9/5)+32 = 131 °F

c) In the formula we replace y= -20° C and we have: -20 = (x-32)× 5/9 = -4°F

8 0
3 years ago
Find the sum or difference of 24-16
Artemon [7]

Answer:

24+16= 40

24-16=8 if it's wrong, try and make ur question more specific, thanks

7 0
3 years ago
Read 2 more answers
Samantha goes into a candy store with $6.00. She buys 9 peppermints for $0.25 each, and some sour candies. Each sour candy costs
emmasim [6.3K]

Answer:

10 Sour Candies

Step-by-step explanation:

First you have to figure out the cost of the peppermints

9 x 0.25 = 2.25

Now figure out how much money Samantha has left over

6.00 - 2.25 = $3.75

Divide that amount by 0.35 (sour candy cost)

3.75 / 0.35 = 10.7

Assume that the store does not sell 0.7 of a candy, and you have

<em>10 Sour Candies</em>

5 0
3 years ago
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raketka [301]

9514 1404 393

Answer:

  y = 3

Step-by-step explanation:

The slope formula can be used to find the slope of the parallel line.

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The line is a horizontal line, so the y-intercept must be chosen to match the y-value of the given point.

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_____

If you want to see the slope of zero in the slope-intercept form equation, you can write the equation as ...

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2 years ago
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