Answer:
I think that what you are trying to show is: If 
is irrational and 
is rational, then 
is rational. If so, a proof can be as follows:
Step-by-step explanation:
Suppose that is a rational number. Then and can be written as follows
Hence we have that
Then
This is a contradiction because we assumed that is an irrational number.
Then must be an irrational number.
A 90 degree rotation about its center
Answer:
Cost of sandbox = $9,375
Step-by-step explanation:
Given:
Height of sandbox = 5 m
Length of sandbox = 50 m
Width of sandbox = 25 m
Cost of 1 cubic meter = $1.50
Find:
Cost of sandbox
Computation:
Volume of sandbox = (50)(25)(5)
Volume of sandbox = 6,250 m³
Cost of sandbox = 6,250 × $1.50
Cost of sandbox = $9,375
Hi there!
Let's start with finding the measurement of angle A. Looking at the image, we know that the larger, outer triangle is equilateral. Therefore, we know that the inner, smaller triangle is isosceles. So, to find the measure of angle A, we need to solve this here equation:
180 = 90 + 2A
90 = 2A
A = 45
Now that we know that angle A is equal to 45 degrees, we can take the total value of the angle of the equilateral triangle and subtract the value of angle A from it to find the value of angle B.
B = 60 - 45
B = 15 degrees
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
