Answer:
Its 48 °
Since its a triangle, the total angle will be 180°
So,
x° + 42°+90°=180°(90° as one angle in triangle is 90°)
x°=180°-90°-42°
x°=48°
Answer:
1/23
Step-by-step explanation:
The perpendicular slope will be the opposite reciprocal of the original slope so if slope of c is -23, slope of d is 1/23
Answer:
Length = 16 feet.
Width = 7 feet
Height = 8 feet
Volume = 896 cubic feet.
Step-by-step explanation:
There is a rectangular prism boiler room. 112 square feet is the floor area of the room.
Let the length of the room is L feet and width is W feet.
So, LW = 112 ...... (1)
Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get
(2 + 2W)W = 112
⇒ 2w + 2w² = 112
⇒ W² + W - 56 = 0
⇒ (W +8)(W - 7) = 0
⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}
Hence, from equation (2) we get L = 2W + 2 = 16 feet.
Now, 1 foot more than the width is the height H.
Hence, H = 7 + 1 = 8 feet.
Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)
Step-by-step explanation:
0.02 is rational as it can be expressed as a finite decimal.