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emmasim [6.3K]
2 years ago
11

What is the volume of the cone shown below?

Mathematics
1 answer:
andrezito [222]2 years ago
8 0
<h3>Answer: Choice A) 1344π  cubic units</h3>

Work Shown:

r = 8 = radius

h = 63 = height

V = volume of the cone

V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*8^2*63\\\\V = \left(\frac{1}{3}*8^2*63\right)\pi\\\\V = \left(\frac{1}{3}*63*8^2\right)\pi\\\\V = \left(21*64\right)\pi\\\\V = 1344\pi\\\\

Side note: You could write the symbol π as "pi" without quotes.

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Quick I need to finish this and I still have more questions after
OLEGan [10]

Answer:

1\frac{1}{2} or 1.5

Step-by-step explanation:

Now we know it's a dilation.  So we can use any two points.  I chose V and V'.

V: (3,6)

V': (2,4)

So how we get from 6 to 4?

4(x)=6\\x=\frac{6}{4} \\x=1.5

You can tell it's 1.5 aswell because 4 times 1 is 4 and 4 times 0.5 is 2.  Add them to get 6.  

Therefore, the dilation factor is 1.5.

3 0
2 years ago
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together the
klasskru [66]

The rate charged per hour by each mechanic was:  x = 75 $ / hr and y = 115 $ / hr.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.

Together they charged a total of $3225.

For this case we have the following variables:

x be the amount of $ / hr that the mechanic obtains 1.

y be the amount of $ / hr obtained by mechanic 2.

An equation to express this would be:

x + y = 190

20x + 15y = 3225

Solving the system of equations we have:

20x + 15(190 -x) = 3225

20x + 2850 - 15x = 3225

5x = 375

x = 75

simililary

y = 190 - x

y = 115

Hence, the rate charged per hour by each mechanic was:

x = 75 $ / hr

y = 115 $ / hr

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

6 0
2 years ago
If a decimal number does not repeat, it ends with which number?
sasho [114]

Answer:

A repetend / reptend

Step-by-step explanation:

This is because most of the times this number is a 0. And a zero is normally a place holder so we don't add it. And if the repetend is zero the decimals is know as a terminating decimal.

HOPE IT HELPED

4 0
3 years ago
Read 2 more answers
Two runners start the race at the same time. The first runner's speed is
ki77a [65]

The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph

<h3>Speed</h3>

Speed is the ratio of total distance to total time taken. It is given by:

Speed = distance / time

Let a represent the speed of the first runner and b for the second runner. Hence:

a = (4/5)b

After 30 minutes (0.5 hour), the runners are 2 miles apart, hence:

a = d₁ / 0.5

d₁ = 0.5a

Also:

b = d₂/0.5

d₂ = 0.5b

d₁ + d₂ = 2, hence:

0.5a + 0.5b = 2

0.5(4/5)b + 0.5b = 2

b = 2.22 mph

a = (4/5) * 2.22 = 1.78 mph

The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph

Find  out more on Speed at: brainly.com/question/13943409

8 0
2 years ago
Read 2 more answers
The graph shows the relationship between pounds of dog food and total cost, in dollars, for the dog food. Which statement(s) abo
OleMash [197]

Apparently none of the choices can refer to the graph,
because there is no graph.

4 0
3 years ago
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