Diameter of the circle is BD as shown, as indicated and passed through center where BD passes, triangle ABD is a right triangle with angle ABD as the right angle. It means ADB and ABD are complementary which means
AB = 140 degree
AD=40 degree
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)
It would be -70. Your welcome
Multiply the investment fraction by the corresponding return, and add the products. The given fractions add to 59%, so the remainder is 41%. (The total of the fractions is 100%—all of the portfolio.)
... 0.43*9.1% + 0.16*16.7% + 0.41*11.4%
... = 3.913% + 2.672% + 4.674% = 11.259%
Answer:
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