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leva [86]
3 years ago
13

Find the area of a sector with central angel 3pi/2 in a circle with radius 5?

Mathematics
1 answer:
Valentin [98]3 years ago
6 0
Find area of circle
A=pir^2
A=pi5^2
A=25pi


then find how much the central angle is
whole circle is 2pi radians

(3pi/2)/2pi=3pi/4pi=3/4

it is 3/4 of whole area
area=25pi units^2
3/4 times 25pi=75/4pi units^2=
18 and 3/4 pi square units=
18.75ip square units

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How did the temperature change if: At first it increased by 25% and then decreased by 40%
Roman55 [17]

Answer:

24.6 % decrease

Step-by-step explanation:

Let x be the original temperature

Increase by 25%

x + .25x

1.25x

Decrease by 40%

The amount decreased is

(1.25x) *.40

.496x

Subtract that from 1.25x

1.25x - .496x

.754x

We need to find the percent decrease

1 - .754 = .246

24.6 % decrease

7 0
3 years ago
Read 2 more answers
The first side of a triangle is 7cm less than twice the second side. The third side is 4cm longer than the first side. The perim
Vinil7 [7]

Given:

First side(A): 2B - 7

Second side(B): B

Third side(C): B + 4

Plug in values:

A + B + C = 80

2B - 7 + B + B + 4 = 80

If you look at the coefficients only, you can rewrite the equation like this:

2B + B + B - 7 + 4 = 80

This means that 4B - 7 + 4 = 80

=4B - 3 = 80

= 4B = 80 + 3

B = 83/4, so you can either write B as 83/4 or as 20.75.

Checking your work:

A: 2(20.75) - 7 = 34.5

B: 20.75

C: 4 + 20.75 = 24.75

34.5 + 20.75 + 24.75 = 80cm.

Hope this helped.

3 0
3 years ago
(7/8)(?)=21<br><br> please help!
alukav5142 [94]
7/8 x = 21
7x = 21×8
7x = 168
x = 24
6 0
3 years ago
Read 2 more answers
Please somebody I need help
Goshia [24]

Answer:

5

Step-by-step explanation:

4 0
3 years ago
Please help as soon as possible
Gemiola [76]
-3.7, 12/20, and 330%
4 0
2 years ago
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