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xeze [42]
3 years ago
15

The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches

long and 4 inches wide. Height is not listed. socratic.org
Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer:

x=7.2

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

\text{Surface area of rectangular prism}=2(wl+lh+hw), where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

lwh=2(wl+lh+hw)

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

9\cdot 4\cdot x=2(4\cdot  9+9\cdot x+x\cdot 4)

Let us solve for x.

36x=2(36+9x+4x)  

36x=2(36+13x)

36x=2(36+13x)

36x=72+26x

36x-26x=72+26x-26x

10x=72

x=\frac{72}{10}\\\\x=7.2

Therefore, the value of x is 7.2 inches.

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monitta

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2 years ago
HCF of 405 and 1605 answer it fast
Rashid [163]

Answer:

hcf=(1,605; 600) = 3 × 5

Step-by-step explanation:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

1,605 = 3 × 5 × 107;

1,605 is not a prime, is a composite number;

600 = 23 × 3 × 52;

600 is not a prime, is a composite number;

* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.

* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.

Multiply all the common prime factors, by the lowest exponents (if any).

gcf, hcf, gcd (1,605; 600) = 3 × 5

gcf, hcf, gcd (1,605; 600) = 3 × 5 = 15;

The numbers have common prime factors.

Must mark brainliest for more answers.

And you should friend me.

7 0
3 years ago
Mark this question "True" if the argument is VALID, and "False" if the argument is INVALID: If this number is larger than 6, the
sleet_krkn [62]

This argument is no valid although the first part of the statement is valid. If a number is larger than 6 than its square must be larger than 36. But if the number is smaller than 6, its square does not need to be smaller than 36. For example...

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7 0
3 years ago
How to solve x÷15=11
stepan [7]

Answer:

x=165

Step-by-step explanation:

Multiply both sides by 15

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Hosea borrowed $20,000 to buy a new speed boat. The interest rate on his loan is 5%. If he plans to pay the loan back in three y
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Answer:

a. Interest amount is $3,000.

b. Total cost is $23,000.

Step-by-step explanation:

a. How much interest will he pay

This can be calculated as follows:

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Interest amount = $20,000 * 5% * 3 = $3,000

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7 0
3 years ago
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