Answer:
#2
It is assumed the base of the prism is a square wit side of 5 cm.
<u>The volume is:</u>
<u>The base is:</u>
<u>Find h:</u>
Answer:
x = 10
Step-by-step explanation:
You have to divide 30 divided by 10 is 3 so ya.
Answer:
∠ XYZ = 41°
Step-by-step explanation:
∠ XYZ = ∠ 3x + 20 ( corresponding angles ) , thus
8x - 15 = 3x + 20 ( subtract 3x from both sides )
5x - 15 = 20 ( add 15 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Thus
∠ XYZ = 8x - 15 = 8(7) - 15 = 56 - 15 = 41°
Answer:
17476
Step-by-step explanation:
8(
)-(6+4)2
8(2187)-(10)2
17496-20
17476
Answer:
Altitude of the plane is 0.5 miles.
Step-by-step explanation:
From the figure attached,
An airplane A is at height h miles observes a small airstrip at D and a factory at F, 4.8 miles apart from D.
Angle of depressions for the airstrip is 13.1° and the factory is 4.1°.
We have to calculate the airplane's altitude h.
From ΔABF,
tan4.1 = 
h = 0.07168(x + 4.8) -----(1)
From ΔABD,
tan13.1 = 
h = 0.2327x -----(2)
From equation (1) and (2),
0.07168(x + 4.8) = 0.2327x
0.2327x - 0.07168x = 4.8×0.07168
0.161x = 0.344
x =
miles
From equation (2),
h = 0.2327×2.137
h = 0.4972 miles
h ≈ 0.5 miles
Therefore, 0.5 miles is the altitude of the plane.