The weight of the air in the room is 172.8 lb if the dimensions of a living room are 18 ft. by 15 ft. by 8ft.
<h3>What is a rectangular prism?</h3>
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
It is given that:
The dimensions of a living room are 18 ft. by 15 ft. by 8ft.
The volume of the living room = volume of the cuboid:
V = length×width×height
V = 18×15×8
V = 2160 cubic ft
The weight of the air = 0.08 lb. per cubic foot
The weight of the air in the room = 0.08×2160
The weight of the air in the room = 172.8 lb
Thus, the weight of the air in the room is 172.8 lb if the dimensions of a living room are 18 ft. by 15 ft. by 8ft.
Learn more about the rectangular prism here:
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<span>8x + 8y = -48
-------------------------
Plug in -8 for x
(8) (-8) + 8y = -48
-------------------------------
Simplify
</span><span><span><span>(8) </span><span>(<span>−8</span>) </span></span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>−64 </span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>8y </span>− 64 </span>= <span>−<span>48
</span></span>-----------------------------------------
Add 64 to each side
<span><span><span>8y </span>− 64 </span>+ 64 </span>= <span><span>−48 </span>+ 64
</span><span>8y </span>= <span>16
</span>---------------------------------------------------
Finally, divide each side by 8
8y ÷ 8 = 16 ÷ 8
y = <span>2
</span>----------------------------------------------------------------
y = 2 is your answer
Answer:
B. 12
x = 12
Also you can use mathpapa to help you with math.
You haven't provided the expression or the choices, therefore, I cannot provide an exact answer.
However, I'll try to help you understand the concept so that you can solve the question you have
Like radicals are characterized by the following:1- They both have the same root number (square root, cubic root , ...etc)
2- They both have the same radicand (meaning that the expression under the root is the same in both radicals)
Examples of like radicals:3

and 7

![\sqrt[5]{x^2y}](https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7Bx%5E2y%7D%20)
and 3
![\sqrt[5]{x^2y}](https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7Bx%5E2y%7D%20)
Check the choices you have. The one that satisfies the above two conditions would be your correct choice
Hope this helps :)
Answer:
h ≈ 13.4
Step-by-step explanation:
Since the triangle is right we can use the sine ratio to find h
sin48° =
= 
Multiply both sides by 18
18 × sin48° = h
⇒ h = 13.4 cm ( to 1 dec. place )