The length of an arc is the fraction of its circumference based on the given intercepted angle. This is given by the equation,
L (arc) = (Angle / 360) x 2πr
Substituting the known values,
L (arc) = (40 / 360) x 2π(8 inch) = 16π/9 inch
Thus, the length of the arc is approximately equal to 5.585 inches.
Answer:
Step-by-step explanation:
probability of choosing a boy = 12 / 28 = 3 / 7
in % = 3 / 7 x 100 = 42,86%
probability of choosing an a student = (4 + 10) / 28 = 14 / 28 = 1 / 2
in % = 1 / 2 x 100 = 50%
Answer:

The slope can be founded with this formula:

And replacing we got:

And the best answer for this case would be :

Step-by-step explanation:
For this case we have the following two points given:

The slope can be founded with this formula:

And replacing we got:

And the best answer for this case would be :

Answer:
Step-by-step explanation:
An x value of 0 can only be plugged into the equation that has a domain that includes 0. The first function's domain is between -2 and -4, so 0 is not included in that domain. In the third function, the domain is between 1 and 3, so 0 is not included in that domain, either. The middle function's domain does include 0 (0 falls between -2 and 1) so we can only evaluate this function at an x value of 0.
g(0) = -0 - 1 so
g(0) = -1
Answer:
9 m³
Step-by-step explanation:
The formula for calculating the volume (V) of a cuboid is
V = depth × width × height
= 1.8 × 2.5 × 2 = 9 m³