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LUCKY_DIMON [66]
3 years ago
15

Find the volume of a right circular cone that has a height of 18.8 inches and a base with a diameter of 14.3 inches. Round answe

r to the nearest tenth of a cubic inch.
Mathematics
1 answer:
ahrayia [7]3 years ago
3 0

Answer:

The volume of the right circular cone is 1005.9\ \text{inch}^2.

Step-by-step explanation:

It is given that,

Height of a right circular cone is 18.8 inches and its diameter is 14.3 inches. We need to find the volume of the cone. The volume of cone is

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

So,

V=\dfrac{1}{3}\times 3.14\times (\dfrac{14.3}{2})^2\times 18.8\\\\V=1005.9\ \text{inch}^2

So, the volume of the right circular cone is 1005.9\ \text{inch}^2.

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An equation is shown below. 12 – 6(w – 3) = 3(– 5 – 3w) + 21 Enter the solution of w for this equation.
gogolik [260]
<span>Simplifying
12 + -6(w + -3) = 3(-5 + -3w) + 21

Reorder the terms:
12 + -6(-3 + w) = 3(-5 + -3w) + 21
12 + (-3 * -6 + w * -6) = 3(-5 + -3w) + 21
12 + (18 + -6w) = 3(-5 + -3w) + 21

Combine like terms: 12 + 18 = 30
30 + -6w = 3(-5 + -3w) + 21
30 + -6w = (-5 * 3 + -3w * 3) + 21
30 + -6w = (-15 + -9w) + 21

Reorder the terms:
30 + -6w = -15 + 21 + -9w

Combine like terms: -15 + 21 = 6
30 + -6w = 6 + -9w

Solving
30 + -6w = 6 + -9w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '9w' to each side of the equation.
30 + -6w + 9w = 6 + -9w + 9w

Combine like terms: -6w + 9w = 3w
30 + 3w = 6 + -9w + 9w

Combine like terms: -9w + 9w = 0
30 + 3w = 6 + 0
30 + 3w = 6

Add '-30' to each side of the equation.
30 + -30 + 3w = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 3w = 6 + -30
3w = 6 + -30

Combine like terms: 6 + -30 = -24
3w = -24

Divide each side by '3'.
w = -8

Simplifying
w = -8</span>
5 0
3 years ago
Identify the variables, the constant, the coefficients, and the exponents in the algebraic expression: 5x + 3y^{2} + 4. (The 2 i
blsea [12.9K]
The variables are: x, y
The constant is: 4
The coefficients are: 5, 3
The exponent is: y^2
5 0
3 years ago
Help I need it helppp
natulia [17]

Answer:

1. x= -11/3

2. x= 25

hope it helps this is solved by functions

3 0
3 years ago
A cell phone company offers a contract that costs $14.99 plus $0.06 per minute. Find the total number of minutes used if the bil
sattari [20]

Answer:

87 minutes

Step-by-step explanation:

Let the total number of minutes = m

Our equation is given as:

$20.21 = $14.99 + 0.06m

20.21 = 14.99 + 0.06m

Collect like terms

0.06m= 20.21 - 14.99

0.06m = 5.22

m = 5.22/0.06

m = 87

Therefore, the total number rod minutes used is 87 minutes

7 0
3 years ago
Complete the solution of the equation. find the value of y when x equals 10. 5x-y=54
Feliz [49]
The answer is y=51/1x+-5
8 0
3 years ago
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