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Dafna11 [192]
3 years ago
8

What is the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120°?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0

Answer:

Step-by-step explanation:

If this was an entire circle, the area could be found by using

Area = pi * r^2 where r = 9

To take the central angle into account, use this formula

Area = 120/360  * pi * r^2

Area = 1/3 * pi * 9^2

Area = 27 pi

area  = 84.78 cm^2  which isn't there.

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(3x4)^4 simplify using power rule
hichkok12 [17]

Answer:

12 to the fourth power

4 0
3 years ago
Aseem and Stana are building model cars. Stana's car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of
sleet_krkn [62]

Answer:

2x − 5 + x = 20

Step-by-step explanation:

Let Aseem's car length be x

Then, length of Stana's car is:

2x - 5

Sum of lengths:

2x - 5 + x = 20

4 0
3 years ago
If 30%of an amount is 730. What will be 70% of that amount
polet [3.4K]

Answer:

the answer is 511 I think

Step-by-step explanation:

percentage * your amount / 100

(70 * 730) / 100

Amount = 511

5 0
2 years ago
Check all of the ordered pairs that satisfy the equation below.y=2/5x
zvonat [6]

We are going to do this step by step:

Let's start with option A

A.

X = 25 and Y = 5/2

y=\frac{2}{5}\cdot x=\frac{2}{5}\cdot25=\frac{2\cdot25}{5}=\frac{50}{5}=\frac{5\cdot10}{5\cdot1}=10

In this case, when X = 25 , then Y = 10 ,which is different to 5/2

B.

X = 14 , Y = 35

y=\frac{2}{5}\cdot14=\frac{28}{5}

In case, when X = 14, then Y = 28/5, which is different to 35

C.

X = 40 , Y = 24

y=\frac{2}{5}\cdot40=\frac{80}{5}=16

Similarly, in this case, when X = 40, then Y = 16, which is different to 24

D.

X = 10 , Y=4

y=\frac{2}{5}\cdot10=\frac{20}{5}=4

Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y

E.

X = 50 , Y = 20

y=\frac{2}{5}\cdot50=\frac{100}{5}=20

In this case, the values of Y are also the same.

F.

X = 30 , Y = 12

y=\frac{2}{5}\cdot30=\frac{60}{5}=12

Again, in this case, the values of Y are the same, so the pair satisfies the equation.

In conclusion: options D, E and F satisfy the equation

3 0
1 year ago
What is the length of the altitude of the equilateral triangle below?
AleksAgata [21]
H/5 = tan(60°)
h = 5tan(60°)
h = 5rt(3)
~F
8 0
3 years ago
Read 2 more answers
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