Acircle has a radius of 7.5 centimeters and a central angle aob that measures 90°. what is the length of the intercepted arc ab? a. 11.8 cm b. 5.9 cm c. 3.8 cm d. 1.9 cm

Arc length = radius* angle theta (in radians)

So angle 90 degree = 90*pi/180 radians= pi/2 radians

So arc length = 7.5* pi/2 cm = 11.8cm

So option A is correct.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c

add the numbers under frequency to find the total number:

5 + 8 +7 + 4 + 0 +1 = 25

the answer is 25.