The length is 6 inches and the width is 5 inches
Answer:
area of the circle = 3.14 square units
Step-by-step explanation:
Circumference of the circle formula is 
where r is the radius of the circle
given circumference = 6.28
= 6.28
Value of pi is 3.14
2*3.14 * r= 6.28
6.28 r = 6.28
divide by 6.28 on both sides
r = 1
radius = 1
Area of the circle = 
= 3.14 *1*1 = 3.14
The ground, the building, and the ladder form a right triangle, in which
the leaning ladder is the hypotenuse.
For the angle between the ladder and the ground, the 4-ft along the ground
is the side adjacent to the angle, and the 7-ft ladder is the hypotenuse.
(adjacent side) / (hypotenuse) = cosine of the angle.
Cosine(a) = 4/7 = 0.57143... (rounded)
Angle 'a' = <em>55.15 degrees</em> (rounded)
Answer:
The rate at which the distance between the two cars is increasing is 30 mi/h
Step-by-step explanation:
Given;
speed of the first car, v₁ = 24 mi/h
speed of the second car, v₂ = 18 mi/h
Two hours later, the position of the cars is calculated as;
position of the first car, d₁ = 24 mi/h x 2 h = 48 mi
position of the second car, d₂ = 18 mi/h x 2 h = 36 mi
The displacement of the two car is calculated as;
displacement, d² = 48² + 36²
d² = 3600
d = √3600
d = 60 mi
The rate at which this displacement is changing = (60 mi) / (2h)
= 30 mi/h
