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3 years ago

If a roof’s slope is 0.5, how high will the roof rise over a 17- foot run?

Mathematics

1 answer:

borishaifa [10]3 years ago

4 0

Answer:

I believe 8.5 feet

Step-by-step explanation:

rise over run equals slope

we have slope which is .5, and the run is 17 feet

so, make an equation

.5=x/17

multiply 17x.5 to get your answer!

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Which is the value of this expression when m=3 and n=-5? (6m^-1 n^0)^-3

iragen [17]

Answer:

The answer is C.

Step-by-step explanation:

I would simplify the expression first.

Equation: (6m^-1)^-3

You can get rid of n^0 because that equals 1.

Any expression raised to the power of -1 equals its reciprocal.

Equation: (6/m)^-3

Equation: (m/6)^3

Final Equation: m^3/216

Now, plug in 3.

(3)^3/216.

27/216 = 1/8

Hope this helps!

6 0

3 years ago

A square storage unit has a volume of 607.5 ft3. The height of the unit is 7.5 ft. What are the length and width of the storage

Eduardwww [97]

Answer:

9ft

Step-by-step explanation:

The base area of the storage is its volume divided by height

$A = \frac{V}{h} = \frac{607.5}{7.5} = 81 ft^2$

Since this base is a square, its length and width is of equal length, which is

$\sqrt{A} = \sqrt{81} = 9ft$

4 0

3 years ago

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Find the argument of the complex number z=1+iv3

elena-14-01-66 [18.8K]

Given:

The complex number is:

$z=1+i\sqrt{3}$

To find:

The argument of the given complex number.

Solution:

If a complex number is $z=x+iy$ , then the argument of the complex number is:

$\theta=\tan^{-1}\dfrac{y}{x}$

We have,

$z=1+i\sqrt{3}$

Here, $x=1$ and $y=\sqrt{3}$ . So, the argument of the given complex number is:

$\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}$

$\theta =\tan^{-1}\sqrt{3}$

$\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)$

$\theta =\dfrac{\pi}{3}$

Therefore, the argument of the given complex number is $\theta =\dfrac{\pi}{3}$ .

6 0

2 years ago

What are the square roots of 144 over 256

stepladder [879]

Minus 12 over 16 and 12 over 16

There you go!

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3 years ago

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8 rational numbers between 3 and 4

Allisa [31]

3.1,3.2,3.3,3.4,3.5,3.6,3.7,3.8

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3 years ago

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