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:
10
Step-by-step explanation:
Substitute n for 10, 11 and 13
45 - 10 = 35
45 - 11 = 34
45 - 12 = 33
The answer is ten because when substituting n for 10, the equation
35 = 45 - 10
is true
Answer and Step-by-step explanation:
0 to the power of 4 is 0.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
x = 4
Step-by-step explanation:
4(5x - 2) = 72
Do the distributive property
20x - 8 = 72
Then add 8 to both sides to get 20x alone
20x - 8 = 72
+ 8 + 8
20x = 80
Then divide both sides by 20 to get x
x = 4
It’s an obtuse triangle, this is because none of the sides/angles are equal to one another. Hope this helped you
