What is the area of the shaded segment

The area of the shaded segment = 9.822 square miles

Step-by-step explanation:

The area of the shaded segment = Area of sector - area of triangle

The formula for determining the area of a sector is expressed as

Area of sector = θ/360 × πr²

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

r = 4 miles

θ = 120 degrees

Area of sector = 120/360 × 3.14 × 4²

Area of sector = 16.75 square miles

The formula for determining the area of a triangle is expressed as

Area = 1/2abSinC

Where

a and b are lengths of the given sides.

C is the given angle

Area = 1/2 × 4 × 4 × Sin120

Area = 8 × 0.866 = 6.928 square miles

Therefore, the area of the shaded segment = 16.75 - 6.928 = 9.822 square miles

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.