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il63 [147K]
2 years ago
13

What is the 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:
dem82 [27]2 years ago
5 0

Answer:

27π cm²

Step-by-step explanation:

step 1

Find the area of the complete circle

The area of the circle is equal to

A=πr²

we have

r=9 cm

substitute

A=π(9)²=81π cm²

step 2

Remember that the area of complete circle subtends a central angle of 360°

so

using proportion

Find the area of a sector formed by a central angle that measures 120°

81π/360°=x/120°

x=120°*81π/360°

x=27π cm²

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Andrew has already played 32 minutes on his video game this morning and wants to play an additional 15 minutes on each of x game
belka [17]

Given :

Andrew has already played 32 minutes on his video game this morning and wants to play an additional 15 minutes on each of x games after school today.

To Find :

Which equation can be used to find y, the total minutes Andrew will play video games today.

Solution :

Number of minutes he play after school time, n = 15x .

Number of minutes already played, c = 32 .

So, total number of minutes he play games for today is :

y = n + c

y = 15x + 32

Therefore, equation which is useful to find number of minutes video game played per day is y = 15x + 32 .

8 0
2 years ago
19. answer this question.​
Irina-Kira [14]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ final = original x multiplier^n

n is the number of years

Substitute the values in:

final = 3800 x 1.054^3

final = 4449.440763

The closest answer is A

<h3><u>✽</u></h3>

➶ Hope This Helps You!

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5 0
3 years ago
Read 2 more answers
1. f(x) + 3
lora16 [44]

Answer:

Step-by-step explanation:

Correct me is I'm wrong but I believe its a independent variable.

6 0
3 years ago
Two corresponding sides of similar triangles are 2 cm and 5 cm. What is the area of the second triangle if the area of the first
Stella [2.4K]

Answer:

(1) Area of second triangle= 50 cm^2.

(2) Area of ΔABC=98 cm^2.

   and Area of ΔDFG=175 cm^2.

Step-by-step explanation:

<em>" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".</em>

i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:

\dfrac{a^2}{b^2}=\dfrac{A}{B}

(1)

for the first question:

we have a=2, b=5.

A=8 cm^2.

Hence,

\dfrac{2^2}{5^2}=\dfrac{8}{B}\\\\\dfrac{4}{25}=\dfrac{8}{B}

B=50 cm^2.

Hence, the area of second triangle is 50 cm^2.

(2)

In second option we have:

a=6 and b=5.

A-B=77 cm^2.

A=77+B

\dfrac{6^2}{5^2}=\dfrac{A}{B}\\  \\\dfrac{36}{25}=\dfrac{77+B}{B}\\  \\36B=25\times77+25B\\\\36B-25B=25\times77\\\\11B=25\times77\\\\B=25\times7\\\\B=175

Hence area of second triangle i.e. ΔDFG is 175 cm^2.

and area of first triangle i.e. ΔABC=175-77=98 cm^2.




8 0
2 years ago
A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil
Tatiana [17]

Answer:

I think you would add the numbers then divide by 2

Step-by-step explanation:

8 0
2 years ago
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