Answer:
sin^2(45) = (√2/2)^2 = 1/2
Step-by-step explanation:
sin2x = sin2 * x = 0.909x
sin(2(45)) = sin90 = 1
Hope this helps.
Answer:
f(x) = 3
+ 2
Step-by-step explanation:
Given G(x) = 
As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)
=> f(x) = a
+ 2
As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3
and there is no reflection, so a= 3
=> the equation of f(x) is: f(x) = 3
+ 2
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
I think that the missing word here is:
"with the amount of the material that Michelle has"
Let's say that her landing strip is x miles long, then its area would be:

We also know how big it is:

now, let's multiply both sides by 6:



So the answer is that it would be

miles wide
A statement that has mathematical expressions that are equal.
Examples:
2+1=3
11x4=44