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3 years ago

1) Point O is between points A and B, find AB =? Draw.

Mathematics

1 answer:

raketka [301]3 years ago

7 0

Answer:

Step-by-step explanation:

x+3+2x-1=AB

x+3+2x-1=x+14

3x+2=x+14

2x=12

x=6

6+14=20

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Vinvika [58]

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3 years ago

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

jaylen made a scale model of the washington monument. the monument has an actual height of 555 feet jaylens model used a scale o

dolphi86 [110]

Answer:

6.04 inches

Step-by-step explanation:

Given: The actual height of the monument = 604 feet

The scale used by Corbins is 1 inch = 100 feet

It implies in Corbins model 1 feet

Therefore, The height of the Corbins model in inches=

Hence, the height of the Corbins model in inches= 6.04 inches

6 0

2 years ago

What is -5 3/4 - 3 1/2 =

Luba_88 [7]

Answer:

-9 1/4

Step-by-step explanation:

-5 3/4 - 3 1/2

-5 3/4 - 3 2/4

-9 1/4

7 0

2 years ago

Read 2 more answers

What is the quotient of k

makvit [3.9K]

Do you have a picture?

6 0

3 years ago