Is there more to the question?
Answer:
Step-by-step explanation:
Surface area of a cylinder:
S. A. = 2πrh + 2πr²
Volume of a cylinder:
V = πr²h
~~~~~~~~~~~
2(π)(2.5)(x) + 2(π)(2.5)² = π(2.5)²(x)
5x + 12.5 = 6.25x
1.25x = 12.5
x = 10
Remark
pi/4 is between 0 and pi/2 which means that pi/4 is in the first quadrant.
5*pi / 4 is between pi and 3/2 pi which means that the angle is in the third quadrant.
So you are talking about one two angles that are in the first and third quadrants.
Step One
Find the Tangent of pi/4 using the unit circle as a reference.
Since pi/4 is 1/2 way between 0 and pi/2 you are referring to something that has and x value of 0.707 for an x value and 0.707 for a y value. (They are equal)
That is the point where the opposite / adjacent = 0.707/0.707 = 1
Step Two
Find the tangent of 5pi/4 using the unit circle.
Using the same argument as pi/4 this time the opposite / adjacent = -0.707/-0.707 = 1 ( the two minus signs cancel out.)
Answer:
The area of the prism’s base is 45 square inches
Step-by-step explanation:
Mathematically, to calculate the volume or the amount of space in the triangular prism, we have to multiply the area of the base by the height of the prism.
Volume of prism = height of prism * base area of prism
From the question, we identify the height as 10 inches with the volume being 450 inches^3
Plugging these values we have;
Area of prism base = volume of prism/ height of prism = 450/10 = 45 inches^2
9 divided by 803 = 0.01120797
