Answer:
∠ KLJ = 70°
Step-by-step explanation:
The segment KL joins the midpoints of 2 sides of the triangle and is therefore parallel to the third side HG , then
∠ KLJ and ∠ HGL are corresponding angles and are congruent , so
∠ KLJ = 70°
Step 1:
96 divided by $3 = $32
Step 2:
204 divided by $3= $68
Step 3:
$68-$32=36
He made $36 more this week
Answer:
$12.50
Step-by-step explanation:
First, find the cost of a gallon of milk in Hawaii by multiplying 2.50 by 3:
2.5(3)
= 7.5
Then, subtract this from 20:
20 - 7.5
= 12.5
So, Fernando should receive $12.50 in change
Answer:
A)
62/3 = 20.67 hours
B)
60.00 hours
C)
2074.29 miles
Step-by-step explanation:
If we assume the earth is a perfect circle, then in a complete rotation the earth covers 360 degrees or 2π radians.
A)
In 24 hours the earth rotates through an angle of 360 degrees. We are required to determine the duration it takes to rotate through 310 degrees. Let x be the duration it takes the earth to rotate through 310 degrees, then the following proportions hold;
(24/360) = (x/310)
solving for x;
x = (24/360) * 310 = 62/3 = 20.67 hours
B)
In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it takes to rotate through 5π radians. Let x be the duration it takes the earth to rotate through 5π radians, then the following proportions hold;
(24/2π radians) = (x/5π radians)
Solving for x;
x = (24/2π radians)*5π radians = 60 hours
C)
If the diameter of the earth is 7920 miles, then in 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle we have;
circumference = 2*π*R = π*D
= 7920π miles
Therefore, the speed of the earth is approximately;
(7920π miles)/(24 hours) = 330π miles/hr
The distance covered by a point in 2 hours will thus be;
330π * 2 = 660π miles = 2074.29 miles
(18-2X)(8-2X)
Take each side and subtract 2X, then multiply them together for the area.
