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2 years ago

A roof rises 24 feet vertically and 14 feet horizontally. What is the slope of the roof?

Mathematics

1 answer:

mixas84 [53]2 years ago

4 0

Answer:

1.714 feet

Step-by-step explanation:

slope is rise over run.

rise would be the vertical measurement and run would be the horizontal measurement.

24/14 = 12/7

12/7 = 1.714

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dangina [55]

Answer:

The first one is 360 degrees. The second one is 1080.

Step-by-step explanation:

The sum of the interior angles of a quadrilateral are always 360. If you subtract 90 from 360 to get 270. Multiply 270 by 4 to get 1080.

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3 years ago

What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

kramer

Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

Therefore, equating the powers of 2 and 3, we get,

$a=3, b=4$

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0

3 years ago

Read 2 more answers

A swimmer dived off of a 32 foot

aleksklad [387]

Answer:

52 feet.

Step-by-step explanation:

To find distance you add the absolute value of the values given. 32+20=52.

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3 years ago

Eight less than the quotient of a number and 3 is 18

Dmitriy789 [7]

The answer is 39
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3 years ago

Jon paid $20 towards the cost of an $80 sweater. Write a numeric equation to show how much he still owes on the sweater.

Tju [1.3M]

Answer:

$80 - $20 = $60 left.

Step-by-step explanation:

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3 years ago

A roof rises 24 feet vertically and 14 feet horizontally. What is the slope of the​ roof?

A roof rises 24 feet vertically and 14 feet horizontally. What is the slope of the roof?