The volume of a rectangular prism is equal to length*width*height. In this case, we have V = 243 and H = 3.
243 = LW(3), so LW = 81, where L & W are whole numbers greater than 1. There are only 3 possible pairs of values for this: 27*3, 9*9, and 3*27 (we cannot use 1*81 or 81*1, since we need dimensions > 1).
Part A. This could be true if Length = 9 in and Width = 9 in, as 9*9 = 81.
Part B. The claim could be false if Length = 27 in and Width = 3 in, as 27*3 = 81, but 27 is not equal to 3.
*Note that the width cannot be longer than the length.
Answer:
There are four different types. Commutative, associative, distributive and identity. Hope this helps! :)
Step-by-step explanation:
Step-by-step explanation:
substitute the values
px=3x+1
=(3x+1)/x
=3x/x +1/x
=3+1/x
rx=2x²+5
p(r(x)) =(3+1/x(2x²+5))
=6x²+15+2x²/x+5/x
=3(2x²+5)+1/x(2x²+5)
=(2x²+5)(3+1/x)
Answer:
5
Step-by-step explanation:
2/12 goes in 11/12 5 times. 1/12 inch will be left.
Answer:
According to triangle theorems, we know that the interior angles of a triangle equals 180 degrees. Since we know that angle A and angle B are 55 and 30 degrees, all we need to do is add them up and subtract it from 180 degrees to find out the measure of angle C.
55 + 30 = 85 degrees
180 degrees - 85 degrees = 95 degrees (this is the measure for angle C)