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Bingel [31]
2 years ago
13

a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

Mathematics
1 answer:
ANEK [815]2 years ago
6 0

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: \mathbf{Length = a -5} and \mathbf{Width = a^2 + 5a + 25}

The area is given as:

\mathbf{Area = a^3 - 125}

Express 125 as 5^3

\mathbf{Area = a^3 - 5^3}

Apply difference of cubes

\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}

\mathbf{Area = (a - 5)(a^2 + 5a + 25)}

The area of a rectangle is:

\mathbf{Area = Length \times Width}

So, by comparison:

\mathbf{Length = a -5}

\mathbf{Width = a^2 + 5a + 25}

Read more about areas at:

brainly.com/question/3518080

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bezimeni [28]

Answer:

Amount of butter need for 1 cup of oil = 2 cup of butter

Step-by-step explanation:

Given:

Amount of butter need for 1/2 cup of oil = 1 cup

Find:

Amount of butter need for 1 cup of oil

Computation:

Amount of butter need for 1/2 cup of oil = 1 cup

1 cup butter = 1/2 cup oil

So,

Amount of butter need for 1 cup of oil = 1 / [1/2]

Amount of butter need for 1 cup of oil = 1 / [0.5]

Amount of butter need for 1 cup of oil = 2 cup of butter

6 0
3 years ago
The length of the hypotenuse of a 30-60-90 triangle is 9. What is the perimeter?
denis23 [38]
The perimeter of any figure, is all its sides summed up

now, notice the picture below, using the 30-60-90 rule, that's "x"

now, get the other sides, since you know what "x" is, and sum them up, that's the perimeter

5 0
3 years ago
Read 2 more answers
1.) 3(x + 7) - 9x (x = 1​
MrMuchimi

Answer:

bonjour voilà la réponse 4.55

7 0
3 years ago
How would you do this question?
Katarina [22]

Answer:

plot the reflection by finding the corresponding points by pretending that y=x-6 is the x-axis, so like (4,-1), (0,-5), (0,-3)

Step-by-step explanation:

7 0
3 years ago
The sum of these fractions is between which two whole numbers?
kherson [118]
3 4/6 + 1 3/6 = 4 7/6 = 5 1/7
Therefore the answer is B. the sum is between 5 and 6

Hope that helps
4 0
3 years ago
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