Answer:
A)
62/3 = 20.67 hours
B)
60 hours
C)
2074.29 miles
Step-by-step explanation:
If we assume the earth is a perfect circle, then in a complete rotation the earth covers 360 degrees or 2π radians.
A)
In 24 hours the earth rotates through an angle of 360 degrees. We are required to determine the duration it takes to rotate through 310 degrees. Let x be the duration it takes the earth to rotate through 310 degrees, then the following proportions hold;
(24/360) = (x/310)
solving for x;
x = (24/360) * 310 = 62/3 = 20.67 hours
B)
In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it takes to rotate through 5π radians. Let x be the duration it takes the earth to rotate through 5π radians, then the following proportions hold;
(24/2π radians) = (x/5π radians)
Solving for x;
x = (24/2π radians)*5π radians = 60 hours
C)
If the diameter of the earth is 7920 miles, then in 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 we have;
circumference = 2*π*R = π*D
= 7920π miles
Therefore, the speed of the earth is approximately;
(7920π miles)/(24 hours) = 330π miles/hr
The distance covered by a point in 2 hours will thus be;
330π * 2 = 660π miles = 2074.29 miles
20% x 50 =(20 / 100) x 50 = (20 x 50) / 100 = 1000 / 100 = 10
answer is 10
He can make 25 scarves from 15 balls of yarn.
Step-by-step explanation:
Given,
Yarn used for one scarf = of a ball
Yarn purchased = 15 balls
Let,
x be the number of scarves.
Yarn used for one scarf*number of scarves = Yarn purchased
Multiplying both sides by
He can make 25 scarves from 15 balls of yarn.
Keywords: fraction, multiplication
Learn more about fractions at:
#LearnwithBrainly
Answer:
The appropriate hypothesis set for Andraya to test is:
Step-by-step explanation:
The makers of the game claim that the wheel has an equally likely probability of landing on each section.
That is, the makers claim that the probability of earning the grand prize is:
Andraya has played the game for several months and believes that the grand prize occurs less often than the game makers claim.
At the null hypothesis, we test if it happens as often as the makers claim, that is, the proportion is 0.125. So
At the alternate hypothesis, we test if it happens less ofter than the makers claim, that is, the proportion is less than 0.125. So
The appropriate hypothesis set for Andraya to test is:
Answer:
The answer is 95°!
Step-by-step explanation:
180°-60°-25°= 95°