Answer:
A
Step-by-step explanation: I believe it's A because It's the opposite but I'm not 100% certain, because I don't remember inverse statements.
Answer:
A)
15 hours
B)
108 hours
C)
2074.29 miles
Step-by-step explanation:
Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.
A)
In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;
(24/360) = (x/225)
solving for x;
x = (24/360) * 225 = 15 hours
B)
In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;
(24/2π radians) = (x/9π radians)
Solving for x;
x = (24/2π radians)*9π radians = 108 hours
C)
If the diameter of the earth is 7920 miles, then in a day or 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;
circumference = 2*π*R = π*D
= 7920*3.142
= 24891.43 miles
Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;
(24891.43miles)/(24 hours) = 1037.14 miles/hr
The distance covered by the point in 2 hours will thus be;
1037.14 * 2 = 2074.29 miles
Answer:
14 42 in thirds is 14 so if he had to pay a third he paid 14 bucks
Step-by-step explanation:
42/3=14
Answer:
9 mins and 8 secs
Step-by-step explanation:
Answer:
-9x + 3
Step-by-step explanation:
You would distribute first.
− ( x + 3 ) − 2 ( 4x − 3 ) → -x − 3 − 8x + 6
(If you see a negative sign in front of a parenthesis without a number, its usually a negative 1)
From there, you would combine like terms.
-x − 3 − 8x + 6 → -9x + 3
