Answer:
Step-by-step explanation:
Let the original number be x
(100-8.5)% of x = 33
91.5% of x = 33

x= 36.1
Wheel A will travel a distance of approximately 9 in more than wheel B in one rotation.
<u>Explanation:</u>
Given:
Diameter of wheel A, d₁ = 25.4 in
Radius of wheel A, r₁ = 12.7 in
Diameter of wheel B = 22.5 in
Radius of Wheel B, d₂ = 11.25 in
Distance travelled by A = ?
In one rotation, the distance travelled by a wheel is equal to its circumference.
Circumference of a wheel = 2πr
Circumference of wheel A = 2πr₁
= 2 X 3.14 X 12.7 in
= 80 in
Circumference of wheel B = 2πr₂
= 2 X 3.14 X 11.25 in
= 71 in
Therefore, wheel A will travel a distance of approximately 9 (80 - 71 in) in more than wheel B in one rotation.
From my research, the image attached supports the problem. Since only the outer curve is to be solved for, the formula for arcs can be used.
s = theta*radius
where s = arc length = outer curve
theta = 70 (pi/180)
radius = 70
s = 70 * (70*pi/180)
s = 85.52 feet
Therefore, the outer curve is 85.52 feet long
Answer: The correct option is tan(F).
Explanation:
In the given figure the triangle is a right angle triangle because
.
It is also given that
and
.
Since it is an isosceles right angle triangle, therefore the value of perpendicular and base is same for both angles D and F, which is 5.

The value of cos(F) is
.

The value of sin(F) is
.

The value of sin(D) is
.

The value of tan(F) is 1. Which is not equal to
.

The value of cos(D) is
.
Therefore, the value of tan(F) is not equal to the value of cos(F), so the correct option is third.
Class B has the most consistant sleep because there is less of a difference between 6.87 and 3.65 than the other classes.