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3 years ago

The volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool

Mathematics

1 answer:

maxonik [38]3 years ago

5 0

Answer:

$Height = x - 5$ --- one of the dimension

Step-by-step explanation:

Given

$Volume = 4x^3 - 20x^2 + 3x - 15$

Required

The side dimension

Factorize the given expression

$Volume = 4x^2 (x- 5) + 3(x - 5)$

Factor out x - 5

$Volume = (4x^2 + 3)(x - 5)$

Volume is the product of base area and height'

Hence:

$Area = 4x^2 + 3$

$Height = x - 5$

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the length of a sandbox is three feet longer than it’s width. Write the expression that would represent the area of the sandbox.

Rashid [163]

Part A : D.)

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length =

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter =

we have given the perimeter, so on substituting the value, we get;

Hence The equation used to find the width is .

Now we solve for 'w'.

Applying distributive property, we get;

Subtracting both side by '2' we get

Dividing both side by 6 we get;

Width of the sandbox = 4.5 ft

Length of the sandbox =

Hence Length of the sandbox is 10 feet.

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2 years ago

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maxonik [38]

I believe its B
i hope this helps :)

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3 years ago

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Dmitrij [34]

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3 years ago

What is 8% of 37...........

docker41 [41]

Answer:

2.96

Explanation:

37/x=100/8

(37/x)*x=(100/8)*x - we multiply both sides of the equation by x

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37/12.5=x

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2 years ago

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Amanda used 24 grams of paint to paint a wooden cube. When it dried, she cut the cube into 8 equal cubes. How many more grams of

kari74 [83]

Answer:

<h2>Amanda needs 72 grams of paint</h2>

Step-by-step explanation:

Notice that she already painted one face of each cube, that is, 8 faces in total, and she used 24 grams for that.

Now, there remain 3 faces per cube to be painted, which means there are 24 faces.

Then, we use the rule of three, if she used 24 grams of paint for 8 faces, how much grams of paint she would need to paint 24 faces?

$24 \times \frac{24}{8}= 72 \ grams$

Therefore, Amanda needs 72 grams of paint for the unpainted surfaces.

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2 years ago