Answer:
There are 3 equivalent fractions 28
/30, 42/45,56/6
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
Answer:
(9,9)
Step-by-step explanation:
Assuming the point is exactly halfway between A and B, to find it we just need to find the centre point between (4,8) and (14,10).
To find the midpoint, we just need to find the middle value, by dividing the difference between the x values by 2, and repeating the process with the y values.
This is because the point is in the middle, so it's y value will be in the middle of the given AB y values, and its x value will also be directly in the middle of the AB x values.
The x values are 4 and 14. The midpoint is
14-4=10
10/2=5 (the midpoint is 5 away from each reference point)
4+5=9
The midpoint is 9 for the x values. This means the x-value for the point is 9.
Repeat for y-values:
10-8=2
2/2=1
8+1=9
The midpoint is 9, therefore it has the y coordinate of 9.
Therefore the coordinates for the point are (9,9).
Hope this helped!
Answer:
9
Step-by-step explanation:
5+4=9
The answer is 24/35. i would tell you to simplify but it is already in its simpliest form.
