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
Molly's equation
15x + 10 = 100
-10 -10
15x=90
/15 /15
x=6
Maddie's equation
15x - 10 = 100
+10 +10
15x=110
/15 /15
x=7 1/3
MADDIE IS RIGHT
this is because she said 7 ans=d you cannot buy 1/3 of a shirt.
give the guy under me the 5 stare and a thanks this is his answer
Answer:
x = 11
Step-by-step explanation:
(3x + 28) + (5x + 52) + ( 2x - 10) = 180
(3x + 5x + 2x) + (28 + 52 - 10) = 180
10x + 70 = 180
10x = 180 - 70
10x = 110
x = 11
Answer:
23 is the smallest number
Step-by-step explanation:
Three consecutive numbers are numbers that come in a row. So if the first number is n then the next is n+1 and the following is n+2.
All together they add to 72.
So n + n+1 +n +2 = 72.
3n + 3 = 72
3n = 69
n = 23
Answer:
its C
Step-by-step explanation:
if x- small and y = large and there's 180 small 370 large then its 180x and 370 small and if the maximum is 2000 he needs to get less than or equal to and that's the symbol. how that helps
