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Artyom0805 [142]
3 years ago
8

A Cylindrical water tank hasa water level of 40 feet high. Tha tank can hold 6000 cubic feet of water. Find the diameter of the

tank in feet to the nearest tenth.
Mathematics
1 answer:
likoan [24]3 years ago
8 0
Sorry I’m not sure byeeeeee
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A machine covers 5/8 square foot in 1/4 hour
VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = frac{5}{8}\ ft^2

Time taken to cover the given area = \frac{1}{4}\ h

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h

Thus, the unit rate is 2.5 square feet per hour.

5 0
3 years ago
Find the coordinates of the third vertex that completes the construction of a right triangle on the coordinate plane.
Neko [114]

Answer:

<u>(7,a) Where a ∈ R - {7}</u>

<u>OR</u>

<u>(-2,a) where a ∈ R - {-2}</u>

Step-by-step explanation:

The coordinates of the given line from the right to the left are:

(7,1) and (-2,1)

So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)

So, the third vertex must be on the line x=7 or x=-2

So, the coordinates of the third vertex is:

<u>(7,a) Where a ∈ R - {7}</u>

<u>OR</u>

<u>(-2,a) where a ∈ R - {-2}</u>

3 0
3 years ago
Read 2 more answers
Eva wants to make two pieces of pottery. She needs 3/5 pound of clay for one piece and 7/10 pound of clay for the other piece. S
Nostrana [21]
3/5 + 7/10 = 6/10 + 7/10 = 13/10 = 1 and 3/10 lbs. needed

She has 4/5 *3/1 bags = 12/5 = 2 and 2/5 pounds

2 2/5 - 1 3/10 = 2 4/10 - 1 3/10 = 1 and 1/10 pounds left over
4 0
3 years ago
Factor the expression completely.<br> 1882 - 32
german

Answer:

2 (941 - 16)

Step-by-step explanation:

You need to first find a number that is a factor of 1882 and -32

In this case it would be 2

So you factor out 2

= 2 (941 - 16)

6 0
2 years ago
Write the equation of the parabola in vertex form with vertex at (2,-5) and y intercept at -17.
jok3333 [9.3K]
<h3>Answer:</h3>

y = -3(x -2)² -5

<h3>Explanation:</h3>

The equation of a parabola with vertex (h, k) is given by ...

... y = a(x -h)² +k . . . . . . . for some vertical scale factor "a".

We can find the value of "a" by substituting the coordinates of a point that is not the vertex. Here, that point is the y-intercept: (0, -17).

... y = a(x -2)² -5 . . . . . initial form of the equation for the parabola

... -17 = a(-2)² -5 . . . . . substitute y-intercept values

... -12 = 4a . . . . . . . . . . add 5, simplify

... -12/4 = a = -3

The desired equation is ... y = -3(x -2)² -5.

4 0
3 years ago
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