Answer:
The height of the tent = 3 feet
Step-by-step explanation:
Question
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?
Given:
Length of the tent = 6 feet
Width of the tent = 4 feet
Volume of the tent = 36 
To find the height of the tent.
Solution:
Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:

where
represents length,
represents width and
represents height of the prism.
Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.

Simplifying.

Dividing both sides by 12.


∴ 
Thus, the height of the tent = 3 feet
Answer: The answer is attached in the figure.
Step-by-step explanation: Given are four different graphs and we are to check which one matches with the equation y = 2 - x.
We have the following points on this equation.
(0,2), (1,1), (2,0), etc.
When we try to match these points with the given graphs, the we see that these points does not match with the first, third and fourth graph. The only graph containing these points is second one.
Thus, the second option is correct. Also see the attached figure for the location of the three mentioned points.
<h3>
Answer: Choice H) 2</h3>
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Explanation:
Recall that the pythagorean trig identity is 
If we were to isolate sine, then,

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.
Through similar calculations,
Cosine is also positive in this quadrant.
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So,

Therefore,

is an identity as long as 0 < x < pi/2