Answers:
C, D, E
Step-by-step explanation:
A rational number is a integer. It is also a terminating or repeating decimal.
A rational number can be written as a fraction of two integers.
Answer A is not correct because it's decimal never ends. It is also not repeating. A cannot be written as a fraction.
Answer B is not correct because the square root is not a whole number, or a perfect square. The square root has a non-terminating and non-repeating decimal, just like A. B cannot be written as a fraction.
Answer C is rational because it has a terminating decimal.
D and E are integers, which also can be written as fractions.
Out of the options given, C, D, and E have rational numbers, while all others do not.
The answers are C, D, and E.
Answer:
Step-by-step explanation:
A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.
Finding z
z^2 + z^2 = (24√2) Combine the left
2z^2 = 24^2 * 2 Divide both sides by 2
2z^2/2 = 24^2/2
z^2 = 24^2 Take the square root of both sides
√z^2 = √24^2
z = 24
Finding x and y
The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.
Tan 60 = opposite over adjacent
sqrt(3) = Perpendicular / z Multiply both sides by z
z*sqrt(3) = perpendicular
The above calculation tells us the perpendicular is 24
z*sqrt(3) = 24 Divide by sqrt 3
z = 24/√3
z = 24/1.73
z = 8√3
Finding x
Use Pythagoras to determine x
Perpendicular^2 + (8√3)^2 = x^2
24^2 + 8^2*3 = x^2
576 + 192 = x^2
768 = x^2
√x^2 = √768
x = 27.71
Answer:
70
Step-by-step explanation:
Answer:
Step-by-step explanation:
An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place
There are two 5's because the 5 section takes up the amount of 2 sections.
There is a total of 8 sections because sections 2 and 5 take up the amount of 2 sections
5's to total = 2/8 = 1/4
Your answer is A. 1/4
Hope this helps :)
