<h3>
Answer: 37</h3>
========================================================
Work Shown:
We have a triangle with sides a,b,c such that
The third side c can be represented by this inequality
b-a < c < b+a
which is a modified form of the triangle inequality theorem.
Plug in the given values to get
b-a < c < b+a
20-17 < c < 20+17
3 < c < 37
The third side length is between 3 and 37; it cannot equal 3, and it cannot equal 37. So we exclude both endpoints.
Of the answer choices, the values {7,20, 12} are in the range 3 < c < 37.
The value c = 37 is not in the range 3 < c < 37 because we can't have the third side equal to either endpoint. Otherwise, we get a straight line instead of a triangle forming.
So that's why 37 is the only possible answer here.
Answer:
555.94
Step-by-step explanation:
16 x 11 = 176/2
88
since there are two of the same triangle
88 x 2
176
11 is the radius
A = ![\pi](https://tex.z-dn.net/?f=%5Cpi)
![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
A = 3.14 ( pie is 3.14, if not then pi) x (11x11)
A = 3.14 x 121 (or 121
)
A = 379.94
379.94 + 176 (or 121pi + 176)
555.94
So, we were given 2 variables, x and y. The amount of money that Margot has saved up, $375, and the cost of each piece of wood, $3.
So, if Margot buys x pieces of wood, it would cost her 3x (3 times x) dollars, and to find the remaining money, simply subtract what she had earlier to it. So the equation will be.
y = 375-3x
Hope this helps!
<h3>Given:</h3>
- l= 5 meter
- b= 4 meter
- h= 3 meter
<h3>Note that:</h3>
- l= length
- b= breadth
- h= height
<h3>To find:</h3>
The volume of the given rectangular pyramid.
<h3>Solution:</h3>
![\large\boxed{Formula:V=\frac{1}{3}lbh}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BFormula%3AV%3D%5Cfrac%7B1%7D%7B3%7Dlbh%7D)
First, multiply the length (5), breadth (4) and height (3).
![5×4×3](https://tex.z-dn.net/?f=5%C3%974%C3%973)
![= 60 \: cm](https://tex.z-dn.net/?f=%3D%2060%20%5C%3A%20cm%20)
Now, divide 60 by 3.
![\frac{60}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B3%7D)
![\large\boxed{V= 20 \: {m}^{3}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BV%3D%2020%20%5C%3A%20%7Bm%7D%5E%7B3%7D%7D)
<u>Therefore,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>rectangular</u><u> </u><u>pyramid</u><u> </u><u>is</u><u> </u><u>2</u><u>0</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>