3 years ago

The difference between seven times a number and 9 is equal to five times

Mathematics

1 answer:

Yakvenalex [24]3 years ago

7 0

Answer:

The number is 9.5

Step-by-step explanation:

Look at the picture above, it explains everything

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1.) A 20° sector in a circle has an area of 21.5π yd².

a_sh-v [17]

Part 1) 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

the answer part 1) is

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

Part 2) 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

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

Find the area of the circle

$A=\pi r^{2}$

$A=\pi*10.6^{2}$

$A=352.8104\ cm^{2}$

Find the area of the sector

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

the answer part 2) is

the area of the sector is

$105.84\ cm^{2}$

7 0

3 years ago

Please Fill in the Blank with the simplified equation. 5/8g=40

FinnZ [79.3K]

Multiply both sides by 8

5/8g × 8 = 40× 8

5g = 320

Divide both sides by 5

5g/5 = 320/5

G = 64

4 0

3 years ago

A letter in the word COURAGE is chosen at random, then a coin is tossed three times. How many outcomes are possible?

RideAnS [48]

Answer:

I think about 10

Step-by-step explanation:

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2 years ago

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Jarrod helped his teachers pack textbooks into boxes for the summer. He packed 7 boxes of science textbooks with 14 books per bo

serious [3.7K]

Answer:

Step-by-step explanation:

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3 years ago

Victoria borrowed $500 for college textbooks. The interest rate was 6%. She plans to pay back her loan in 6 months. How much wil

mars1129 [50]

Hell ya this question sucks its interest is 14% mark me brainlyiest

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3 years ago