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WITCHER [35]
3 years ago
11

What is volume of a trapezoid prism?

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0

Answer:

If the prism length is L, trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2. In other words, multiply together the length, height, and average of A and B.

Step-by-step explanation:

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You move down 2 units and left 6 units. You end at (-1, -4). Where did you start?
Harman [31]

Answer:

(5, -2)

Step-by-step explanation:

You have to reverse it.

Up 2 units and right 6 units gets you to your original position.

8 0
3 years ago
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Bob sees a very tall white pine tree. He estimates that the angle of elevation from him to the top of the tree is 77°
vlabodo [156]

Answer:

  86.63 ft

Step-by-step explanation:

The tangent relation applies.

  Tan = Opposite/Adjacent

  tan(77°) = (tree height)/(20 ft)

  tree height = (20 ft)·tan(77°) ≈ 86.63 ft

_____

<em>Additional comment</em>

It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.

8 0
2 years ago
What Properties or characteristics or similar triangles could be used to prove the Pythagorean theorem?
Zolol [24]
Well, in order to prove the Pythagorean theorem, every triangle you are using has to have one right angle (90-degree angle), and the side opposite to it will be called the hypothenuse. The remaining two triangles will be acute angles (<90 degrees), and the sides opposite to them are called sides/catheti. 
4 0
3 years ago
A town has a population of 170000 and grows at 4% every year.what will be the population after 12 years
Aneli [31]

Answer:

\large \boxed{272175}

Step-by-step explanation:

We can use the exponential growth formula:

y = a(1+r)ˣ

where

y = amount after x time

a = initial amount

r = growth rate as a decimal fraction

x = number of years

Data:

a = 170 000

r = 0.04

Calculations:

\begin{array}{rcll}y &= &170 000(1.04)^{12} & & \\& = &170 000 \times 1.601032 &\\& = &\mathbf{272175} &\\\end{array}\\\text{The population will be $\large \boxed{\mathbf{272175}}$ in 12 yr}

The figure below also shows that the population will grow to about 272 000 in 12 yr.

5 0
3 years ago
The actual length of side t is 0.045 cm. Use the scale drawing to find the actual side length of w. A) 0.06 cm B) 0.075 cm C) 0.
Tems11 [23]

Answer: The answer is B 0.075 cm


Step-by-step explanation:

Since the drawings is a scale of the original you must use a proportion to solve the desired side. 0.045/.9=w/1.5;w=0.075.

5 0
3 years ago
Read 2 more answers
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