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3 years ago

6

A rectangular prism has a width of 6 inches and a height of 10 inches. The volume of the rectangular prism is 300 in3. What is t

he length of the rectangular prism?

1 answer:

slava [35]3 years ago

7 0

it is 300 and 300

and 300

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lucas lives 5/8 mile from school.kenny lives twice as far as lucas from school.how many miles does kenny live from school

dexar [7]

<span><span>1. </span>Lucas Lives 5/8 miles from their schools
=> 5/8 miles is equals to:
=> 5 / 8 = 0.625 miles.
Now, the problem says that Kenny lives twice as far as Lucas from their school.
Therefore, we only need to multiply the total number of miles of Lucas distance from house to school to be able to get what is the distance of Kenny’s house to school
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Are the two triangles similar? Explain you reasoning and support your answer?

Anuta_ua [19.1K]

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Step-by-step explanation:

by the side and letgh

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3 years ago

Probe that:<br><img src="https://tex.z-dn.net/?f=%20%5Csec%20%5Calpha%20%20%5Csqrt%7B1%20-%20%20%5Csin%28%20%7B%7D%5E%7B2%7D%20%

Nataly [62]

Step-by-step explanation:

<h3> $\sec \alpha \sqrt{1 - \sin ^{2} \alpha } = 1$ </h3>

Prove the LHS

Using trigonometric identities

That's

<h3> $\cos ^{2} \alpha = 1 - \sin^{2} \alpha$ </h3>

<u>Rewrite the expression</u>

We have

<h3> $\sec \alpha \sqrt{ \cos^{2} \alpha }$ </h3>

<h3> $\sqrt{ { \cos }^{2} \alpha } = \cos \alpha$ </h3>

So we have

<h3> $\sec \alpha \times \cos \alpha$ </h3>

Using trigonometric identities

<h3> $\sec \alpha = \frac{1}{ \cos \alpha }$ </h3>

<u>Rewrite the expression</u>

That's

<h3> $\frac{1}{\cos \alpha } \times \cos \alpha$ </h3>

Reduce the expression with cos a

We have the final answer as

<h2>1</h2>

As proven

Hope this helps you

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3 years ago