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3 years ago

The diameter of the base of the cone measures 8 units.

Mathematics

2 answers:

madam [21]3 years ago

7 0

Answer:

b. 32

Step-by-step explanation:

e2020 says so

weeeeeb [17]3 years ago

3 0

Answer: $32\pi$ cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

$V_{cone}=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

$r=\frac{8units}{2}\\\\r=4units$

Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:

$V_{cone}=\frac{1}{3}\pi (4units)^2(6units)$

$V_{cone}=32\pi \ units^3$

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lara31 [8.8K]

Don’t touch my truck!!!…….

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2 years ago

Rearrange t= 5s + 4 to make s the subject

ratelena [41]

Answer:

Subject 's' in terms of 't'

$s = \frac{t-4}{5}$

Step-by-step explanation:

Explanation:-

Given that the subject 't in terms are 's'

Given that t = 5 s +4

subtracting '4' on both sides, we get

t - 4 = 5s +4-4

t - 4 = 5 s

Dividing '5' on both sides ,we get

$\frac{t-4}{5} = \frac{5s}{5}$

$\frac{5s}{5 } = \frac{t-4}{5}$

$s = \frac{t-4}{5}$

6 0

3 years ago

An online retail company determined that their cost for each day, x, can be determined by the function C(x) = 2x2 – 20x + 80 and

sammy [17]

The number of days the company earns a profit is the second day till the 7th day

<h3>How to determine the number of days the company earns a profit?</h3>

From the question, we have the following functions that can be used in our computation:

Cost function, C(x) = 2x2 – 20x + 80

Revenue function, R(x) = –x2 + 5x + 58

These functions can be properly represented as

Cost function, C(x) = 2x² – 20x + 80

Revenue function, R(x) = –x² + 5x + 58

When the company makes a profit, the revenue of the company exceeds the cost

This means that

R(x) > C(x)

Substitute the known values in the above equation, so, we have the following representation

–x² + 5x + 58 > 2x² – 20x + 80

Evaluate the like terms

–3x² + 25x - 22 > 0

Expand

–3x² + 3x + 22x - 22 > 0

Factorize the inequality

–3x(x - 1) + 22(x - 1) > 0

So, we have

(-3x + 22)(x - 1) > 0

This gives

-3x + 22 > 0 and x - 1 > 0

Evaluate

-3x > -22 and x > 1

Divide

x < 7.3 and x > 1

This can be combined as

1 < x ≤ 7

Hence, the company makes profit from the second day till the 7th day

Read more about profit functions at

brainly.com/question/25638609

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7 0

1 year ago

Ms. Moneyhun's son, Sam, just learned to crawl. He can crawl 20 ft in one minute. How many feet can Sam crawl in one hour? (Hint

almond37 [142]

Answer:

1200 ft in one hour

Step-by-step explanation:

The ratio of Sam crawling 20 ft in one minute can be written as:

20:1

Multiply the ratio by 60 to get the minutes to 60 minutes, because there are 60 minutes in an hour:

20 : 1

×60 ×60

To get:

1200:60 ⇒ This means Sam can crawl 1200 ft in 60 minutes, which is the same as 1200 ft in one hour.

Hope this helps! :)

6 0

3 years ago

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Bogdan [553]

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5 0

3 years ago

Read 2 more answers