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Gnesinka [82]
3 years ago
14

Determine the radius of a cylinder with a volume of 163 ft cubed with a height of 4 ft​

Mathematics
1 answer:
monitta3 years ago
8 0

The volume of a cylinder is given by the product of its base area (i.e. the area of a circle) and its height:

V = \pi r^2\cdot h

Solving for r, we have

r=\sqrt{\dfrac{V}{h\pi}}

Plugging the numbers, we have

r=\sqrt{\dfrac{163}{4\pi}} \approx 3.6

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Simplify the expression. Write your answer as a power.<br><br> (−5/7)^8⋅(−5/7)^9
dem82 [27]

Answer: (-\frac{5}{7})^{17}

Step-by-step explanation:

The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

(b^a)(b^c)=b^{(a+c)

Where b is the base and a and c are exponents.

 Then simplify it by rewriting the base (-\frac{5}{7}) and adding the exponents of the expression (8 and 9).

You will get the expression simplified and written as a power:

(-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}

3 0
3 years ago
Solve the given system. y = x 20 y = 6x
adelina 88 [10]
If you would like to solve the following system, you can calculate this using the following steps:

y = x - 20
y = 6 * x
_________
6 * x = x - 20
6 * x - x = -20
5 * x = -20    /5
x = -4

y = 6 * x = 6 * (-4) = -24

If you would like to solve the following system, you can calculate this using the following steps:

y = x + 20
y = 6 * x
_________
6 * x = x + 20
6 * x - x = 20
5 * x = 20    /5
x = 4

y = 6 * x = 6 * 4 = 24
8 0
3 years ago
Cameroon was paid $173.70 for working 18 hours. how much money does he make per hour?
PilotLPTM [1.2K]
Since you are looking for the dollar per hour, can just set the equation up as dollar divided by hour (dollar/hour). You take how much was made ($173.70) and divide it by the hours worked (18 hours).

$173.70/18 = x (x representing how much he makes an hour).

$173.70/18 = $9.65.

Cameroon makes $9.65 an hour.
6 0
3 years ago
What is 1+1 - 2 x 5 / 7.5
earnstyle [38]

Answer:

0.666666667

Step-by-step explanation:

7 0
2 years ago
Here's a problem for the minds-good luck!
Art [367]

Answer:

20%

Step-by-step explanation:

  1. Set up a proportion: \frac{280}{1400} = \frac{x}{100}  
  2. Cross multiply, then divide: 280 × 100 = 28000, 28000 ÷ 1400 = 20
  3. So, 20% were satisfied with their car

I hope this helps!

8 0
2 years ago
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