Answer:
A)
58/3 = 19.33 hours
B)
84.00 hours
C)
2074.29 miles
Step-by-step explanation:
Under the assumption the earth is a perfect circle, then in a complete rotation ( 24 hours) the earth will rotate through 360 degrees or 2π radians.
A)
In one day or 24 hours the earth rotates through 360 degrees. We are required to determine the duration it takes to rotate through 290 degrees. Let x be the duration it takes the earth to rotate through 290 degrees, then the following proportions hold;
(24/360) = (x/290)
solving for x;
x = (24/360) * 290 = 58/3 = 19.33 hours
B)
In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it will takes the Earth to rotate through 7π radians. Let x be the duration it takes the earth to rotate through 7π radians, then the following proportions hold;
(24/2π radians) = (x/7π radians)
Solving for x;
x = (24/2π radians)*7π radians = 84 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
The answer would be 20 books
4x5=20
Answer:
80
Step-by-step explanation:
The correct display of the expression on a number line is number line (c)
<h3>How to determine the expression that shows how to rewrite 5 − 6 using the additive inverse?</h3>
The complete question is added as an attachment
The expression is given as:
5 - 6
Put 6 in a bracket.
So, we have:
5 - 6 = 5 - (6)
Express 6 as --6
So, we have:
5 - 6 = 5 - -(-6)
Rewrite as:
5 - 6 = 5 + (-6)
The above means that the arrow on the number line must start from 5 and moves in the negative direction in 6 units
The correct display of the expression on a number line is number line (c)
Read more about number lines at:
brainly.com/question/24644930
#SPJ1
Answer: The answer is D. .625
Step-by-step explanation: It terminates, meaning that it doesn't repeat itself
