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
Answer:
a = 18 units
b = 9√3 units
Step-by-step explanation:
By applying sine rule in the given triangle,
sin(30°) =
a = 18 units
Now apply cosine rule in the given triangle,
cos(30°) =
b =
b = units
The equation you must use is the slope-intercept form which is mx+b=y so plug 60 in for the b since that is your starting number then the 6 is plugged in for x since that is the slope and the constant and the m is going to change constantly since if you want to find the 1 term plug in 1 for m then do the same for the rest. the first 5 terms are 60,54,48,42,36
Answer:
8/9
Step-by-step explanation:
1/3 divided by 3/8 is 8/9
Answer:
D) If an integer is NOT even then it is NOT divisible by 2.
Step-by-step explanation:
An inverse if/then statement is like an opposite statement. So the statement "if A happens, then B will happen" the opposite would be like saying "if A does NOT happen then B will NOT happen." Hopefully that makes sense :)