Answer: Choice C) 5*sqrt(3) - 20*sqrt(2)Check out the attached image to see how I got that answer. Specifically look at figure 1. The other figures are supplemental steps to help break things up into a more organized solution (and to prevent too much clutter).
The idea I'm using to simplify is to basically factor the radicand (stuff under the radical or square root) into two numbers where one number is a perfect square. The goal is to pick the largest perfect square factor possible. Then I used the rule that sqrt(x*y) = sqrt(x)*sqrt(y) to break up the roots.
After each piece is simplified, the next step is to combine like terms. In this case, the sqrt(2) terms are combined.
Answer:
9 < x < 17 is the possible length of the third side of a triangle.
Step-by-step explanation:
The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.
Given the two sides of the triangle
Let 'x' be the length of 3rd size.
According to the Triangle Inequality theorem,
The difference of two sides < x < The sum of two sides
13 - 4 < x < 13+4
9 < x < 17
Therefore, 9 < x < 17 is the possible length of the third side of a triangle.
Answer:
A. negative
B. positive
C. positive
D. negative
hope this helps!
Step-by-step explanation:
Answer:
The first one (46.25)
Step-by-step explanation:
All you had to do was length times width.
Answer:
99 in³
Step-by-step explanation:
volume of cone = ⅓πr²h = 33 in³
volume of cylinder = πr²h = 3(volume of cylinder) = 99 in³