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exis [7]
2 years ago
12

Volume of cylinder, write the term in pie

Mathematics
1 answer:
gladu [14]2 years ago
3 0

Answer:

vol of cylinder = per. of base x height + 2 (area of base)

area of base = pi x r^2

4pi = pi r^2

4=r^2

r=2

per of base = 2 x pi x r

2xpix2=4pi (same as area cause 2x2 and 2^2 is the same thing)

4pi + 2(4pi)

4pi + 8pi

<u>12pi  = volume</u>

<u />

<u>hope that answers your question</u>

<u>Don't hesitate to comment if you are confused about something</u>

Step-by-step explanation:

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Which equation has the solutions x = startfraction 5 plus-or-minus 2 startroot 7 endroot over 3 endfraction?
Shtirlitz [24]

The equation that has the solution x = \frac{5 \pm \sqrt{7}}{3} is 3x^2 - 10x + 6 = 0

<h3>How to determine the equation?</h3>

The solution is given as:

x = \frac{5 \pm \sqrt{7}}{3}

The solution to a quadratic equation is

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

By comparing both equations, we have:

-b = 5

b^2 - 4ac = 7

2a = 3

Solve for b in -b = 5

b = -5

Solve for a in 2a = 3

a = 1.5

Substitute values for a and b in b^2 - 4ac = 7

(-5)^2 - 4 * 1.5c = 7

Evaluate

25 - 6c = 7

Subtract 25 from both sides

-6c = -18

Divide by - 6

c = 3

So, we have:

a = 1.5

b =  -5

c = 3

A quadratic equation is represented as:

ax^2 + bx + c = 0

So, we have:

1.5x^2 - 5x +3 = 0

Multiply through by 2

3x^2 - 10x + 6 = 0

Hence, the equation that has the solution x = \frac{5 \pm \sqrt{7}}{3} is 3x^2 - 10x + 6 = 0

Read more about quadratic equation at:

brainly.com/question/1214333

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7 0
2 years ago
Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels. How many cups of
cupoosta [38]

Answer:

Ted will need 3\frac{3}{4} cups of pretzels to make 15 cups of trail mix.

Step-by-step explanation:

Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels.

So, 1/4 cup of pretzels to make 1 trail mix

       x cups of pretzels to make 15 trail mix

Using the ratio and proportional

∴ x = (1/4) * 15 = 3.75 = 3\frac{3}{4} cups.

<u>Ted will need </u>3\frac{3}{4}<u> cups of pretzels to make 15 cups of trail mix.</u>

4 0
3 years ago
How many different pairs of faces are congruent in a rectangular prism that is not a cube
Kaylis [27]

Answer:

2

Step-by-step explanation:

every rectangular prism has 6 faces, 2 will be congruent together and thw other 4 will be congruent to each other

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Original Problem: 6x−10+4x−6=14x+20+4
HACTEHA [7]

Answer: x=-10

Step-by-step explanation:

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