Answer:
3) 5
4) 8.2
5) 6.8
6)FG = 6.4
7) EF = 3.6
8)DF = 4.8
Step-by-step explanation:
From the attached triangle, using trigonometric ratio we can find ∠G as; tan^(-1) (6/8)
Thus, ∠G = 36.87°
Still using trigonometric ratios;
FG/8 = cos 36.87°
FG = 8 cos 36.87°
FG = 6.4
3) EF + FG = EG
Since EG is 10, mean of EF and FG = 10/2 = 5
4) mean of EG and FG = (10 + 6.4)/2 = 8.2
5) EF + FG = EG
Thus; EF = EG - FG
EF = 10 - 6.4
EF = 3.6
Mean of EG and EF = (10 + 3.6)/2 = 6.8
6) FG = 6.4
7) EF = 3.6
8) Using trigonometric ratio;
DF/8 = sin 36.87
DF = 8 × 0.6
DF = 4.8
Answer:
x = 17
Step-by-step explanation:
We are going to call the missing angle in triangle EDC, "y"
x+y+100=4x+49+y
Eliminate the "y" on both sides
x+100=4x+49
move the x by subtracting the x on the left from the right
100= 3x +49
Move the numbers by subtracting 49 from 100
51 = 3x
Divide both sides by 3
17=x
Answer:
7.05 in^3
Step-by-step explanation:
V = 4/3(pi)r^3 , r = 3/2 = 1.5
V = (4/3)(3.14)(1.5^3)
= 14.10
Now divide by 2 for 1/2 of the ball.
V/2 = 14.10 = 7.05
= 7.05 in^3
