Answer:
A. (125.6 in)
Step-by-step explanation:
R = d / 2 = 40 / 2 = 20 in
Circumference is:
S = 2*π*R=2*3.14*20=125.6 in
Distance between 2 points formula: √(x2 − x1)² + (y2 − y1)²
= √(7 - (-3))² + (-1 - 5)²
= √10² + -6²
= √100 + 36
= √136
≈ 11.662 (Note that this number is rounded because its a a non-terminating decimal).
Best of Luck!
Answer:
The mean of the combined group is 76.67 ≈ 77
Step-by-step explanation:
- The sum of the grades in Tom's group is 20×70 = 1400
- The sum of grades in Alice's group is 10×90=900
- The sum of gradees in the combined group is =1400+900=2300
- Then the mean grade of the combined group is

where
- 2300 is the sum of the all grades in the combined group
- 30 is the total number of people in the group
Answer: 
Explanation: Denominators of a fraction can be equivalently written as their value to the power of negative 1. In this case the denominator expression itself has an exponent of 6, which taken to the power of negative one becomes -6:

As shown in the image, we have a 30 degree angle and x, which is what we want. By doing tan30, we can find x, so tan30=x/70 and 70*tan30=x= 70*sqrt(3)/3. 120-x=height of first tower = 120-(70*sqrt(3)/3) = roughly 79.59