Turning clockwise means the number increase, and counterclockwise means the number decreases
Therefore your answer is 37 + (3*1/2)-(3*1/4)
= 37.75
Hope this helped :)
Answer:
<em>90 degree</em>
Step-by-step explanation:
Three points A, B, and C are added and shown in attached picture.
As the property of inscribed angle in circle:
angle BAC = (1/2) x 88 = 44 deg
As the property of complement angle:
angle ABC = 180 - 89 = 91 deg
As the property of sum of three angles in a triangle:
angle ACB + angle ABC + angle BAC = 180 deg
=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg
One more time, we use the property of inscribed angle in circle:
x = 2 x angle ACB = 2 x 45 = 90 deg
Hope this helps!
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)
Answer:
a = -10
Step-by-step explanation:
-0.4a + 3 = 7
subtract 3 from each side
-0.4a + 3-3 = 7-3
-.4a = 4
Divide each side by -.4
-.4a/ -.4 = 4/-.4
a = - 10
