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mario62 [17]
3 years ago
12

If a cone has a height 6 feet and volume 54ft, find the radius of the base

Mathematics
1 answer:
OLga [1]3 years ago
7 0

Answer:

The radius is approximately 2 93

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.
timofeeve [1]

Answer:

It will take 150 hours to fill all 3 tanks at a time.

Step-by-step explanation:

Water flows in pipe 1 at a rate of 25,000 gallons per hour.

Other pipe at a rate of 45,000 gallons per hour.

Water leaves the system at a rate of 60,000 gallons per hour.

There are 3 of these tanks and each tank holds 1 million gallons.

Each tank is half full.

So, total capacity of 3 tanks = 3 millions and it is half full.

The water need to be filled = 1.5 millions. At the same time 60,000 gallons of water leaving out.

25,000 x + 45,000 x - 60,000 x = 1.5 millions

70,000x -60,000x = 1500000

10,000x = 1500000

Dividing both sides by 10,000, we get

x = 150 hours

Therefore, it will take 150 hours to fill all 3 tanks at a time.

7 0
3 years ago
Which expression is equivalent to –3.6x + 48?
Anna11 [10]

Answer:

D. -1.2(3x-40)

Step-by-step explanation:

Multiply -1.2 x 3x and -1.2 x -40.

-1.2 x 3x= -3.6x

-1.2 x -40= 48 (two negatives cancel each other out, so it will be +48)

= -3.6 +48.

You can also automatically eliminate B. and C. because multiplying the  -4 within the perenthesis would not give you 48.

A. says (3x + 40), which would give us a negative 48.

7 0
3 years ago
Find the values of the variables
Umnica [9.8K]

Looks like you're given an equality between two matrices,

\begin{bmatrix}-12&-w^2\\2f&3\end{bmatrix}=\begin{bmatrix}2k&-81\\-14&3\end{bmatrix}

Two matrices are equal if the entries in the same positions (row and column) are equal. This means

\begin{cases}-12=2k\\-w^2=-81\\2f=-14\\3=3\end{cases}

We can ignore the last one, since it's clearly true. For the remaining, we get

-12=2k\implies k=-\dfrac{12}2=-6

-w^2=-81\implies w^2=81\implies w=\pm9

2f=-14\implies f=-\dfrac{14}2=-7

7 0
4 years ago
Working together, Sam and Charlie can change all the light bulbs in the office building in 3 hours. It would have taken Charlie
Virty [35]

Answer:

B

3r + 3/8=1

Step-by-step explanation:

EDGE

6 0
3 years ago
Read 2 more answers
A line's y-intercept is –9, and its slope is 1/6 .What is its equation in slope-intercept form?
ANEK [815]

Answer:

y = 1/6x - 9

Step-by-step explanation:

The slope-form intercept formula is y = mx + b

4 0
2 years ago
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