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Sedaia [141]
3 years ago
7

What is the volume of a right circular cone that has a height of 14.9 cm and a base with the circumference of 2.9 cm rounded to

the nearest 10th of a cubic centimeter
Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0

Answer:

The answer to your question is  Volume = 3.30 cm³

Step-by-step explanation:

Data

Volume = ?

height = 14.9 cm

circumference = 2.9 cm

Process

1.- Calculate the radius

   circumference = 2πr

-Substitution

   2.9 = 2πr

-Solve for r

   r = 2.9/2π

   r = 1.45/π cm

2) Calculate the volume of the cone

   Volume = 1/3πr²h

-Substitution

   Volume = 1/3π(1.45/π)²(14.9)

-Simplify

   Volume = (1.04)(0.213)(14.9)

   Volume = 3.30 cm³

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17. Solve the following:<br> x – 3y = 5<br> 5x – 2y = -1
Phantasy [73]

Answer:

(- 1, - 2 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 5 → (1)

5x - 2y = - 1 → (2)

Rearrange (1) expressing x in terms of y by adding 3y to both sides

x = 5 + 3y → (3)

Substitute x = 5 + 3y in (2)

5(5 + 3y) - 2y = - 1 ← distribute left side

25 + 15y - 2y = - 1

25 + 13y = - 1 ( subtract 25 from both sides )

13y = - 26 ( divide both sides by 13 )

y = - 2

Substitute y = - 2 in (3) for corresponding value of x

x = 5 + (3 × - 2) = 5 - 6 = - 1

Solution is (- 1, - 2 )

8 0
3 years ago
a computer technician charges $32.50 per hour plus a $75.00 service charge. Your father's firm hires him to hook up his company'
nika2105 [10]
32.50h+75.00= 107.50h I don't know if its right or it could be 32.50h+75.00= b
3 0
3 years ago
REPOST
melamori03 [73]

Answer:

  1. 5/48, 3/16, .5, .75, 13
  2. 1/5, .35, 12/25,  .5, 4/5
  3. -3/4, -7/10, 3/40, 8/10
  4. -.65, -3/8, 5/16, 2/4

Step-by-step explanation:

  1. 5/48 = 1.0291666666 | 3/16 = .1875 the rest is obvious
  2. 1/5 = .2 | 12/25 = .48 | 4/5 = .8
  3. -3/4 = -.75 | -7/10 = -.7 | 3/40 = .075 | 8/10 = .8
  4. -3/8 = -.375 | 5/16 = .3125 | 2/4 = .5
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3 years ago
Factor the polynomial. Select BOTH of the correct factors from the list given.
stiv31 [10]

Answer:

first one ig

Step-by-step explanation:

6 0
2 years ago
A sofa is on sale for 73% off. The sale price is $172.80. What is the regular price?
Lapatulllka [165]
To get the answer you have to divide the sale price $172.80 by 73%.
So first you turn 73% into a decimal by moving the decimal two places to the left turning it into .73 

$172.80 divided by .73 = $236.71

You can check by then multiplying $236.71 with .73 
7 0
3 years ago
Read 2 more answers
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