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algol13
3 years ago
14

PLEASE HELP !!! I WILL REWARD BRAINLIEST

Mathematics
1 answer:
icang [17]3 years ago
4 0
First what is the formula for a cone, and just simplify
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1.) A 20° sector in a circle has an area of 21.5π yd².
a_sh-v [17]

<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?  

we know that

the area of a circle represent a sector of 360 degrees

so by proportion

\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}    

therefore

<u>the answer part 1) is</u>

The area of the circle is 1,215.18\ yd^{2}

<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

in this problem we have

Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm

<u>Find the area of the circle</u>

A=\pi r^{2}

A=\pi*10.6^{2}

A=352.8104\ cm^{2}

<u>Find the area of the sector</u>

we know that the area of the circle represent a sector of 2\pi radians

by proportion

\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}

therefore

<u>the answer part 2) is</u>

the area of the sector is

105.84\ cm^{2}

7 0
3 years ago
Latoya earns $25.05 for 3 hours of tutoring. How much money does latoya earn each hour?
charle [14.2K]

Answer:

$8.35 per hour

Step-by-step explanation:

Take the dollars and divide by the hours to determine the dollars per hour

25.05/3

$8.35 per hour

6 0
3 years ago
GIVING 100 POINTS FOR THE FIRST CORRECT ANSWER
Wittaler [7]
Mrs. Walters gets 14.4 miles per gallon.
Mr. Walters gets 15 miles per gallon.
So Mr. Walters car is better because he gets more miles out of one gallon of gas.
360/25=14.4 480/32=15
Stephen can read 90 pages in 6 days witch means he reads 15 pages per day. Which means it will take him 20 days to read a 300 page book.

90/6=15 300/15=20
4 0
3 years ago
Y'all is so nice too help me I really appreciate it help me thanks<br> plz i need help
butalik [34]
You can multiply 2/3 by 2/2 to get 4/6. This means that x=4!!!

Hope this helps :)
8 0
3 years ago
Your class raised money by selling hot dogs and hamburgers. Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold
LenKa [72]

Answer:

Number of hot dogs sold =  56

Number of  hamburgers sold = 52

Step-by-step explanation:

Let

Number of hot dogs sold = x

Number of  hamburgers sold = y

We can make equation from given equations:

0.50x+1y=80 (Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )

x+y=108  (Together you sold 108 hot dogs and hamburgers.)

Now we cam solve these system of equations to find value of x and y

0.50x+y=80--eq(1)\\x+y=108--eq(2)

Subtract both equations to get value of x:

0.50x+y=80\\x\:\:\:\:\:\:\:\: + y=108\\-\:\:\:\:\:\:\:\: -\:\:\:\:\:\: -\\---------\\-0.5x=-28\\x=\frac{-28}{-0.5}\\x=56

We get value of x = 56

Now putting value of x in equation 2 to find value of y

x+y=108\\56+y=108\\y=108-56\\y=52

So, we get y = 52

Therefore,

Number of hot dogs sold = x = 56

Number of  hamburgers sold = y = 52

6 0
2 years ago
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