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Debora [2.8K]
3 years ago
11

A rectangular prism with a square base has a volume of 980 inches. If the height of this rectangular prism is 5 inches, what are

the dimensions of its base?
Mathematics
2 answers:
ehidna [41]3 years ago
8 0

Answer:

980 in

Step-by-step explanation:

just olya [345]3 years ago
6 0

Answer:

14 inches

Step-by-step explanation:

Since the rectangular prism has a square base, we know that the width and length are equal.

Using the formula for calculating the volume of a rectangular prism, we can set up an equation:

(width^2)*height = 980 cubic inches or

(width^2)*5 in. = 980 cubic inches, simplify the equation by dividing each side by 5 inches, and the result is:

width^2 = 196 sq.in., simply by taking the square root of each side of the equation, and the result is:

√width (inches) = √196 square inches = width = 14 inches

each side of the prism's base is 14 inches

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The cube less the square of a number is twice the number. If x is a positive integer, what is its value
olga55 [171]

Answer:

2

Step-by-step explanation:

let 'x' = number

x³ - x² = 2x

x³- x² - 2x = 0

x(x² - x - 2) = 0

x(x - 2)(x + 1) = 0

x = -1, 0, 2

the only positive solution is the number 2

3 0
2 years ago
Anchara drops a penny from a height of 60 feet above the ground. The equation h=-16t^2 + 60 models the penbys height h i feet as
weeeeeb [17]

Answer:

t = 1.94 seconds

Step-by-step explanation:

we have to solve the following polynomial equation:

-16t² + 60 = 0

16t² = 60

t² = 60/16 = 3.75

t = √3.75 = 1.936491673 seconds

the equation also has another possible answer = -1.936491673 seconds, but since time cannot be negative, we have to dismiss that option

7 0
2 years ago
3. To make green paint, mix 3 parts of blue to 4 parts of yellow. Does the table below show the same ratio
expeople1 [14]
No
3÷4 = .75
4÷5 = .8
5÷6 ≈ .8333
6÷7 ≈ .8571
These ratios are not the same.
5 0
3 years ago
Simplify: 3x(x^2 + 4x - 5)
Alina [70]

Answer:

3x^3+ 12x^2-15x

Step-by-step explanation:

First, you would have to distribute the 3x to everything in the parentheses. So you can write it out as (3x*x^2)+(3x*4x)+(3x*5). Solving this will give you the answer. We'll start off with (3x*x^2). Because we are MULTIPLYING, this part will equal to 3x^3. There is ONE x with 3x (think of it as 3x^1) and 2 x's in x^2, having a total of 3 x's, or x^3. Since the 3 is being multiplied as well, we can write it as 3x^3.

Second, we will solve (3x*4x). We are multiplying, so first we multiply 3*4 and then x*x. 3*4 is 12 and x*x is x^2.  There are 2 x's being mutipled by each other, so the x becomes squared. Now we finish and multiply 12*x^2 wich is 12x^2.

Lastly, we solve (3x*5). 3x is being multiplied 5 times which gives us 15x.

I hope this helped :)

3 0
3 years ago
Add and reduce to lowest terms: 5 1/4+4 5/6
lakkis [162]

Answer:

−6.7 + (−2 1/ 5 )

Step-by-step explanation:

−6.7 + (−2 1/ 5 )

4 0
3 years ago
Read 2 more answers
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