Answer:
18.86 feet
Step-by-step explanation:
One rotation of the tire is equal to the circumference of the tire
The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd
where
π = 22/7
d = diameter
The size of one revolution = 2 x 22/7 = 44/7 feet
The distance covered in one rotation of the tire is 44/7 feet
The distance covered in 3 rotations = (44/7) x 3 = 18.86 feet
Sine is positive while cotangent is negative. So this must mean cosine is negative since cos/sin = cot. In other words, cotangent is the ratio of cosine over sine.
Because cosine is negative and sine is positive, this places theta in quadrant 2
This is where x < 0 and y > 0. Recall that on the unit circle, x = cos(theta) and y = sin(theta).
The answer is choice B) quadrant II
Answer:
1. rational number
2. a positive rational number
Step-by-step explanation:
A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.
The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.
