Answer:
- 8π radians/second
- 527.8 meters
Step-by-step explanation:
A) The angular velocity is the ratio of angular distance to time:
ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)
ω = 8π radians/second
__
B) The arc length is ...
s = rθ = rωt
s = (35 cm)(8π rad/s)(60 s) = 16,800π cm
s ≈ 52779 cm = 527.79 m
The wheel travels about 527.8 meters in one minute.
Answer:
(a+b)(2x−ab+a−b)+x(a−b)+x²
Step-by-step explanation:
I can't make a good explanation, so here's a graph.
Also, this wouldn't be a proportional relationship because of exponents on the last term.
This is really a parabola.
Answer:
1749
Step-by-step explanation:
You would set up a proportion that says 901/x = 34/100. You would cross multiply to get that 34x = 90100. You would divide 90100 by 34 to get 2650. Then do 2650 - 901 to get 1749.
Answer: 0.195
Step-by-step explanation:
given data:
population = 2000 people.
people Who are over 6 feet tall = 389.
Solution:
the point estimate of people over 6feet tall
= no of people over 6 feet tall / total population size
= 389/2000
= 0.195
the point estimate of people over 6 feet tall is 0.195
Answer:
1. Dilate ΔABE by a factor of 2/5 to make ΔA'B'E'
2. Translate A' to Q
Step-by-step explanation:
We notice the triangles have the same orientation, so no reflection or rotation is involved. The desired mapping can be accomplished by dilation and translation:
1. Dilate ΔABE by a factor of 2/5 to make ΔA'B'E'
2. Translate A' to Q
The result will be that ΔA"B"E" will lie on top of ΔQRT, as required.