Hello from Hello from MrBillDoesMath!
Answer:
False.
Discussion:
See attached file for discussion.
Thank you,
MrB
Answer:
Angle A = 102°
Angle B = 51°
Angle C = 27°
Step-by-step explanation:
angle A = 2b
angle B = b
angle C = 1/3 b + 10
Angle A + Angle B + Angle C = 180
2b + b + 1/3 b + 10 = 180
3 1/3 b + 10 = 180
10/3 b = 170
b = 51
a = 2b = 102
c = 1/3 b + 10 = 1/3 (51) + 10 = 17 + 10 = 27
The height of the triangular base of the pyramid is calculated through the equation,
h = (cos x)(18 in)
where h is height and x is half of the angle of the triangle. Since the triangle is equilateral, the value of x is 30°. Substituting,
h = (cos 30°)(18 in)
h = 15.59 in
Thus, the height of the base is approximately 15.59 inches.
C. $693.33. Just round. It helps. Round 2,080 to 2,100. Then whats 30% of 2,100? It's easy just think of 21 divided by 3, which equals 7. So, 700 and the closest answers to that is $693.33. That's just the easy way instead of doing the math out. And it is also common sense that B or D wouldn't be it. So your left with C or A. :)
