Answer
584.56714755 = 146
Step-by-step explanation:
584.567 is 4 times 146 ...
...and 4 can be written as 2 to the power 2.
So, the 4 can just be pulled outside of the radical sign, as a 2 ,
and the other factor, the 146 , just stays inside of the radical sign.
The sum of three primes is 18 so they must all be smaller than 18 as well.
Primes less than 18=2,3,5,7,11,13,17
2,3, and 13
2,5, and 11
There are two solutions...
<span>The sum of the
angle of a triangle is 180 degrees. It is mentioned that Hannah drew a pattern
of equilateral triangles. Equilateral triangle has three equal sides. Also, its
angles are the same, having 60 degrees at each corner of the triangle. The answer
is a. Letter b does not qualify to be an equilateral triangle because 120
degrees times 3 is greater than 180 degrees. Letter c and d exceeds the total
number of angles at 180 degrees.</span>
-4/3 is C
-1/3 is B
-1.5 is A
Answer:
A)
62/3 = 20.67 hours
B)
60.00 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
