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Citrus2011 [14]
2 years ago
6

A circle has a sector with area 33 pi and central angle of 11/6 pi radians. What is the area of the circle?

Mathematics
2 answers:
MArishka [77]2 years ago
5 0

Answer:

Step-by-step explanation:

Area of the sector =

[pi*r^2*11*pi/6]/360=pi^2*r^2*11/6*360=pi*r^2*11*180/2160=33 pi

r^2=71280/11*pi=6480/pi=6480/180=36

Area of the circle=pi*r^2=36 pi

frosja888 [35]2 years ago
4 0

Answer:

The area of the circle is 36\pi\ units^{2}

Step-by-step explanation:

we know that

The area of a circle subtends a central angle of 2\pi radians

so

By proportion find the area of the circle

\frac{33\pi }{(11\pi /6)}=\frac{x}{2\pi}\\ \\ x=2\pi*( 33*6)/11\\ \\x=36\pi\ units^{2}

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Trevor sees 8 red birds.He sees 5 more red birds than blue birds. How many blue birds does trevor see?
max2010maxim [7]
3 blue birds

if he sees 5 more than blue 8 - 5 = 3
8 0
2 years ago
The bakers at Healthy Bakery can make 270 bagels in 10 hours. How many bagels can they bake in 15 hours? What was the rate per h
Tcecarenko [31]

Answer:

405 bagels 27 an hour

Step-by-step explanation:

this is because when you divide 270 by 10 you get 27 which is how much per hour then multiply the # of bagels and the # of hours you get is 405. In other words you first want to know how many bagels it took to get to 270 bagels in 10 hours.Hope it helped.

7 0
2 years ago
If x=6 and y=−4, evaluate the following expression:10−4xy​
Lana71 [14]

Answer:

10-(4×6×-4)

10+96

=106

Step-by-step explanation:

hope it helps

5 0
2 years ago
Read 2 more answers
Solve x/3 = x+2/2. X=
Leni [432]

Answer:

I will assume that the term "x+2/2" is meant to be "(x + 2)/2)."  Otherwise the equation would read (x/3) = x + 1

Step-by-step explanation:

(x/3) = (x + 2)/2

x = 3*(x+2)/2   [Multiply both sides by 3]

x = (3x + 6)/2

x = (3/2)x + 6/2

x - (3/2)x = 3

-0.5x = 3

x = -6

====================

Check:

Does (x/3) = (x + 2)/2 for x = -6?

(-6/3) = (-6 + 2)/2

-2 = -4/2

-2 = -2  YES

6 0
2 years ago
A cylinder of manganese (length 4.00 cm, diameter = 1.00 cm) has a mass of 22.62 g. What is the density of manganese?
Gnom [1K]
Equation for density is mass/volume

Mass=22.62 g

Volume= 22/7 x 1/2^2 x 4

3.14 x 0.5 x 0.5 x 4

=3.14 cm3

Mass/ Volume

22.62/3.14

7.2 g/cm3 is the answer

5 0
3 years ago
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