Your answer is 175.
Hope this helps!
Answers:
x = 2√2 units
y = 2√6 units
Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.
1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units
2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units
Hope this helps :)
Answer:
40 
Step-by-step explanation:
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6 
cm
width = 2 cm
height = 2 cm
If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 cm x 2 cm x 2 cm.
Without a calculator, I would first turn the mixed numbers into improper fractions.
- 6 =
- 2 =
Volume = x x
When you multiply everything together you should get 
.
As a mixed number, that would be 40 .
Answer:
a fractional exponent in which the numerator of the fractional exponent is the power of the base and the denominator of the fractional exponent is the index of the radical.
Step-by-step explanation:
