Answer:
The answer to your question is 2⁸x²⁰ y²⁴ or 256x²⁰y²⁴
Step-by-step explanation:
Data
(2x³y³)⁴ (2x²y³)⁴
To solve this problem, use the law of exponents.
1.- Use the law of Power of a power rule
(2x³y³)⁴ (2x²y³)⁴ = (2⁴x¹²y¹²) (2⁴x⁸y¹²)
2.- Use the multiplication rule
(2⁴x¹²y¹²) (2⁴x⁸y¹²) = 2⁸x²⁰ y²⁴
3.- The answer is 2⁸x²⁰y²⁴ or we can simplify more like
256x²⁰y²⁴
Answer:
the plane is traveling with a speed of 156.44mph
Step-by-step explanation:
Find the attached explanation.
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:
150 units^2
Step-by-step explanation:
A=6a2=6·52=150
