<u>Given</u>:
The given triangle is a right triangle.
The length of the hypotenuse is 31 units.
The length of the leg is 23 units.
One of the angle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting 
, the side opposite to the angle x measures 23 units and the hypotenuse is 31.
Thus, we have;
Dividing, we get;
Taking 
on both sides of the equation, we get;
Rounding off to the nearest whole integer, we get;
Thus, the value of x is 48°
Hence, Option c is the correct answer.
Answer:
The volume of the cone is 
Step-by-step explanation:
The given cone has a radius of 10 cm and and height of 9 cm.
The volume of a cone is given by:
We substitute r=10 and h=9 , 
to obtain:
Simplify exponents to get:
Simplify:
Therefore the volume of the cone is
Since the question is asking how fast he is driving, we need to find his speed in miles per hour. To do this, you need to divide the amount of miles he drove by the amount of hours it took. When you do 412.5/7.5, you get the answer of 55 miles per hour.
Answer:
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
Step-by-step explanation:
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075
Considering the GMAT score x, and the GPA y, this situation is modeled by the following inequality:
Robbin's GMAT score was 800.
This means that 
, and thus:
What must her grade point average be in order to be unconditionally accepted into the program?
Solving the above inequality for y:
Thus:
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
Answer:
Its 280
Step-by-step explanation:
I got it right on A P E X
