Rate = 5.5 miles/s
Time to reach 2 miles
2 / 5.5
0.364 s
9514 1404 393
Answer:
Step-by-step explanation:
Like terms are ones with the same variable (or set of variables). Here, any x-terms are "like" terms. They are combined by adding their coefficients.
4x +4x +4x +4x = x(4+4+4+4) = 16x
-7x +4 +3x = x(-7+3) +4 = -4x +4
3x +5x +8 = x(3+5) +8 = 8x +8
4x +4x = x(4+4) = 8x
This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)
Answer:
The ferris wheel travelled 434.717 ft.
Step-by-step explanation:
Assuming that the ferris wheel is a perfect circle, then it's height is the same as the diameter of the circle, therefore it's radius is:
radius = height/2 = 246/2 = 123 ft
The distance travelled by the ferris wheel is the same as the length of the arc created by a angle of (9pi/8). The length of an arc is given by:
length = r*(angle in radians)
length = 123*(9pi/8)
length = 434.717 ft
The ferris wheel travelled 434.717 ft.