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dolphi86 [110]
3 years ago
15

There are 12 yards of fabric. Each pillow uses 2/3 yard. How many pillows can be made?

Mathematics
1 answer:
Maurinko [17]3 years ago
6 0

Answer:

18 pillows

Step-by-step explanation:

12 yards of fabric divided by 2/3 is 18. Therefore, 18 pillows at an be made.

Hope this helps :)

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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
What I use the Pythagorean theorem for this problem?
andrew-mc [135]
No you would not use the Pythagorean Theorem, You would take the two sides and multiply them together, and divide it by 2.
8 0
3 years ago
For the given function, x can have what value?
Lyrx [107]

Answer:

x cannot be -4,-3, or 13

x can be anything else

Step-by-step explanation:

There are infinitely many values x can take where the relation above will be a function.

For it to be a function, you just need to make sure each x is only assigned one y value.

So x couldn't be -4 because it would by assigned to y=2 and y=0.

x couldn't be -3 because it would be assigned to y=1 and y=0.

x couldn't be 13 because it would be assigned to y=5 and y=0.

So as long as x is not chosen to be -4,-3, or 13 your relation here is a function.

5 0
3 years ago
Which of the following best describes the expression 3x + 2y + 8z?
Evgesh-ka [11]
The sum of 3 products...there r 3 terms
6 0
3 years ago
Read 2 more answers
eight less than four times a number is twelve. what is the number? the options are, 5 , 1 , -3 , -5 , please i need a answer asa
ra1l [238]
4x minus 8 = 12 answer: 5
6 0
3 years ago
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