Answer:
Step-by-step explanation:
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:
Step-by-step explanation:
(Let the point where the altitude from 
intersects 
be called as point 
.) First, let's find the area of parallelogram 
. The area of a parallelogram is simply 
, where 
is the parallelogram's base and 
is the parallelogram's height. If we let and 
be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram will be 
.
Now, how does this information matter, you might ask? Well, we can take either <em>or </em>
to be the base and either or 
to be the height. In this case, let's take the latter two options, as we are looking to find the length of .
Therefore, we know that the area of parallelogram can also be found by calculating 
. Since we know the values of the area and , we can write the following equation to solve for :
(Substitute 
and 
into the equation)
(Divide both sides of the equation by 
to get rid of 's coefficient)
(Simplify)
(Symmetric Property of Equality)
Hope this helps!
Answer:
Yeah,its right angled traingle.
Reason:Suppose Root over 50 as hypotenuse and other two sides as base and perpendicular respectively.
By using pythagoras theorem
h^2=p^2+b^2
50=50(which is true)
Therefore it is right angled triangle..This is your required answer.
Answer:
any integer in between 29,30,31,32,33,34 will work.
