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Delvig [45]
3 years ago
10

Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet.

Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

9 ft

Step-by-step explanation:

Let's begin with the formula for the volume of a square pyramid.  If s is the base length, then the area of the base is s^2.  The volume of the pyramid is then V = (1/3)(base area)(height).  We know the volume and the base length (s), and want to find the height.  Solving V = (1/3)(base area)(height)

for height, we get:

3V = (base area)(height), or

    3V

---------------- = height

base area

Substituting 75 ft^3 for V and (5 ft)^2 for base area, we get:

               3(75 ft^3)              9 ft

height = ------------------ = ----------------- = 9 ft

                 25 ft^2                   1

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cricket20 [7]
One gallon of gasoline (6.3 lbs.) produces about 20 lbs. of carbon dioxide. This may seem weird and untrue, however, most of that weight comes from the oxygen in the air. Following the math on this means that we multiply 17.2 gallons of gas by 20 lbs. of co2 per gallon of gas burned. 
This gives us the answer of 344 lbs. of carbon dioxide burned per tank of gas. (From a 2013 Honda Accord)
8 0
2 years ago
If the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is
Neko [114]

Answer:  90 degrees clockwise

This is equivalent to 270 degrees counterclockwise

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The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).

5 0
2 years ago
Y>1 and y>x on a graph
zlopas [31]

So,

y>1\wedge y>x

1. Graph each inequality separately.

2. Choose a test point to determine which side of the line needs to be shaded.

3. The solution to the system will be the area where the shadings from each inequality overlap one another (purple area)

As for the system of inequalities we say it's unbounded.

3 0
3 years ago
What is the value of x? tangent lines acellus
liberstina [14]

Answer:

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Step-by-step explanation:

the three interior angles of a triangle add up to 180, so 60° + 90°+ 30° just works. Sorry it's such a bad explanation, but the answer works . I have acellus too and I entered the answer before answering your question.

5 0
3 years ago
If a polynomial function f(x) has roots 6 and square root of 5, what must also be a root of f(x)?
ivolga24 [154]

Answer:

-\sqrt{5}

Step-by-step explanation:

A root with square root or under root is only obtained when we take the square root of both sides. Remember that when we take a square root, there are two possible answers:

  • One answer with positive square root
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For example, for the equation:

x^{2}=3

If we take the square root of both sides, the answers will be:

x=\sqrt{3} \text{ or } x= -\sqrt{3}

Only getting one solution with square root is not possible. Solutions with square root always occur in pairs.

For given case, the roots are 6 and \sqrt{5}. Therefore, the 3rd root of the polynomial function f(x) had to be -\sqrt{5}

It seems you made error while writing option B, it should be - square root of 5.

4 0
3 years ago
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