Answer:
33 inches to the nearest inch.
Step-by-step explanation:
Length of an arc = rC where r = the radius and C is the angle through which it turns in radians.
So for the 23 inch radius: length = 23 * 135 * π / 180
and for the 9 inch radius: length = 9 * 135 * π / 180
The difference = 23 * 135 * π / 180 - 9 * 135 * π / 180
= 14 * 135 * π / 180
= 32.99 inches.
Answer:
There's no mode
Step-by-step explanation:
The answer is the number that occurs more often for example: (6, 3,9,6,6,5,9,3) 6 occurs more often so that's the mode
The solution is 3, -9
x = 3, y = -9
He should expect to receive 418.75 dollars. I found this by taking 5025 and dividing it by twelve (the number of months in a year.)
Answer: a) see image (below)
b) S ∩ M = 237
c) S U M = 598
<u>Step-by-step explanation:</u>
b) Total students = 685
Not sports or music = 87
Sports Total = 385
Music Total = 450
Both Sports and Music is their intersection:
S ∩ M = S + M + N - T
= 385 + 450 + 87 - 685
= 237
c) Sports only = S - (S ∩ M)
= 385 - 237
= 148
Music only = M - (S ∩ M)
= 450 - 237
= 213
Sports OR Music is their union:
S U M = S + M - (S ∩ M)
= 385 + 450 - 237
= 598