In order to prove the statement, we have to find a rational number x which satisfies r < x < s.
For the number: ======> x = r + s / 2,
We Have:
r = r + r / 2 < r + s / 2 < s + s /2 ======> s
It remains to prove that x is rational.
Let: ======> r = a/b and s = c/d
where: =====> a, b 6 = 0, c, and d 6 = 0 are integers.
Then: ====> x = r + s/2
= r = a/2b + s = c/2d
= ad + cb / 2bd
Therefore, where ad + cb, and 2bd 6 = 0 are integers. Therefore x is rational.
Hope that helps!!! : )
The answer is 160,000 hope that helped
Answer:
101.98 yards.
Step-by-step explanation:
Please refer to the diagram that I drew (sorry for the messiness; I do not own a stylus and so I was using my mouse to try to draw it).
Since the triangle is a right triangle, you can use SOH CAH TOA. In this case, you are trying to figure out the opposite length, but you are given the adjacent. So, we will use tangent to solve this (TOA = Tangent, Opposite over Adjacent).
The angle is 22.6 degrees, and the tangent of the angle is equivalent to the opposite length, x, divided by the adjacent length, 245 yards.
tan(22.6) = x / 245
x / 245 = tan(22.6)
x = tan(22.6) * 245
x = 0.4162598242 * 245
x = 101.9836569
So, you are about 101.98 yards from the cabin.
Hope this helps!
You need to divide 12 by 16 to get a decimal that you can turn into a percent. 12 ÷ 16 = .75. You turn that .75 into 75%. Greg's football team won 75% of their games.
Answer: Your answer is A!
Step-by-step explanation: