7. (09.04 MC)
A Ferris wheel car moves from point C to point D on the circle shown below:

Circle A is shown with a central angle marked 45 degrees and the diameter marked 15 feet.

What is the arc length the car traveled, to the nearest hundredth? (5 points)

5.89 feet

6.23 feet

7.46 feet

8.15 feet

5.89 feets

Step-by-step explanation:

Arc length :

L = θ/ 360° * 2πr

Diameter = 15 ; Radius, r = 15 / 2 = 7.5

θ = 45°

L = (45/360) * 2*3.14 * 7.5

L = 0.125 * 2 * 3.14 * 7.5

L = 5.89 feets

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3