Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/-
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is
Given:
For cylinder P: radius = 4.25 in. and height = 14 in.
For cylinder Q: radius = 7 in. and height = 8.5 in.
To find:
The volume of each cylinder.
Solution:
Volume of a cylinder is
where, r is radius and h is height. Use 3.14 for .
Using the above formula, the volume of cylinder P is
Using the above formula, the volume of cylinder Q is
Therefore, the volume of cylinder P is 794.03 sq. in. and volume of cylinder Q is 1307 sq. in.
Answer:
20.04 units
Step-by-step explanation:
The diagram shows right triangle ABC. Use the definition of the cosine: