A circle with circumference \blue{8}8start color #6495ed, 8, end color #6495ed has an arc with a 288^\circ288

∘

288, degrees central angle.

Below are two parallel lines with a third line intersecting them.

a)

6.4 units

b)

56°

Step-by-step explanation:

a)

A circle with circumference 8, has an arc with a 288 degree central angle. What is the length of the arc?

From geometry, we know that the length of an arc is the ratio of the central angle to 360° multiplied by the perimeter of the circle. Therefore:

length of arc = , where θ = central angle and circumference = 2πr

Substituting values:

length of arc = =

b)

Below are two parallel lines with a third line intersecting them.

The diagram is attached below.

Alternate Exterior Angles are a pair of angles formed on the outer side of each of those two lines when two lines are crossed by another line (the Transversal), but on opposite sides of the transversal.

From the diagram, x and 56° are Alternate Exterior Angles, therefore:

x = 56°

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m