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3 years ago

What is the the y coordinate of the solution to this system of equations

Mathematics

1 answer:

Anestetic [448]3 years ago

5 0

I think it's $\frac{4}{5}$

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Your estimate that the length of a board is 24 feet. The actual length of the board is 22 feet. Find the percent error.

Tresset [83]

Answer:

9.09%

Step-by-step explanation:

You over estimated by 2 feet. Find out how much 2 feet of 22 is by dividing 2 by 22...

2/22 = 0.090909090909

To convert a decimal to a percent, multiply the decimal by 100%

0.0909090909(100%) = 9.0909090909% or 9.09%

5 0

3 years ago

Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 4000/ 3 * π in 3. One day, her sink clogged.

givi [52]

Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in

The volume of the cone (cup) is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=4/2=2\ in$ ----> the radius is half the diameter

$h=8\ in$

assume

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3$

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

$\frac{4,000}{33.49}= 119\ cups$

Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=8/2=4\ in$ ----> the radius is half the diameter

$h=8\ in$

assume

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3$

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

$\frac{4,000}{133.97}= 30\ cups$

7 0

3 years ago

What is the solution -10 = 2a - 4

Simora [160]

Add 4 to both sides

-10 + 4 = 2a

Simplify -10 + 4 to -6

-6 = 2a

Divide both sides by 2

-6/2 = a

Simplify 6/2 to 3

-3 = a

Switch sides

6 0

3 years ago

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To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare

BARSIC [14]

The amount of water is double in comparison to the amount of vegetables.

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3 years ago

What is the area of the pentagon

vlada-n [284]

The area of the pentagon is 140

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3 years ago

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