Answer:
Step-by-step explanation:
This is right triangle trig. The reference angle is 12 in one case and 60 in the other, but the horizontal distance doesn't change in either one, and neither does what you are looking for, which is the height of the balloon in both cases of the angle differences. And if you're looking for the difference in the height, you'll find both and subtract the smaller from the larger.
The height is across from the reference angle and the horizontal distance is adjacent to the reference angle, so the trig identity you want is tangent. Set up according to the angle measure of 12 degrees:
and
280 tan(12) = x
x = 59.5 ft
Now for the angle measuring 60 degrees:
and
280 tan(60) = x
x = 484.9
The difference between the two heights is 425.5 feet.
Answer:
V = (π/4)s³
Step-by-step explanation:
The volume of a cylinder can be found using the formula ...
V = πr²h
In this problem, we have r=s/2 and h=s. Filling in these values, the volume is ...
V = π(s/2)²·s = (π/4)s³
Well, in 12 minutes, you'd have decorated 3/4 of a cupcake 12 times. In other words, 3/4x12/1. The answer would be 36/4, or 9 whole. In 12 minutes, Paul would have decorated 9 whole cupcakes.
Let x be the common ratio / or scale factor
the sides of the triangle are
5x, 12x and 13x
sum of the sides defines perimeter
that is
5x + 12x + 13x = 15
30x = 15
x = 15/30
x = 0.5
The sides of the triangle are 0.5(5) = 2.5
0.5(12)=6
0.5(13) = 6.5
2.5, 6, 6.5 all in inches
Answer:
x=11/2
Step-by-step explanation:
4+5x‒7=10+3x‒2
5x‒3=8+3x
5x‒3x=8+3
2x=11
2x/2=11/2
x=11/2