In the circle shown below, AB= 30 and the length of the minor arc from point A to point C is 40. Find the exact measure of the marked angle B in

terms of radians. Justify.

4/3pi

Step-by-step explanation:

Length of an arc  = r theta

Given radius r = 30

length of arc  l = 40

Substitute

40 = 30theta

theta = 40/30

theta = 4/3 pi

Hence the angle marked B is 4/3pi

4 adults and 12 babies

step-by-step explanation:

4 x 7 = 28

12 x 15 = 180

180 + 28 =208

4 x 3 = 12

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x