Since the side lengths of the square is seven inches, the legs of the triangle to find the diagonal will be 7 inches as well. Since we have the two legs to find the hypotenuse which is equal to the square’s diagonal, we can find the diagonal by squaring the two legs and adding them together, then finding the square root of the answer.
7•7=49
7•7=49
49+49= 98
Now let’s find the square root of 98. I usually go to the hundredths place since I know 98 doesn’t have a perfect square.
9.9•9.9= 98.01 (the hundredths place rounded to that)
So the length of the square’s diagonal is about 9.9 inches.
Here. I hope you can see it.
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using <em>double angle trigonometric</em> functions.
<h3>How to simplify an expression by trigonometric expressions</h3>
<em>Trigonometric</em> expressions are formulas that utilize <em>trigonometric</em> functions. <em>Trigonometric</em> functions are a kind of <em>trascendental</em> functions, that is, functions that cannot be described in <em>algebraic</em> terms.
In this question we must simplify a given expression by using the following trigonometric formula:
<em>sin 2x = 2 · cos x · cos x</em> (1)
Now we proceed to expand the expression given:
x = sin 32
x = 2 · sin 16 · cos 16
x = 4 · sin 8 · cos 8 · cos 16
x = 8 · sin 4 · cos 4 · cos 8 · cos 16
Thus,
sin 4 · cos 4 · cos 8 · cos 16 = x/8
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using <em>double angle trigonometric</em> functions. 
To learn more on trigonometric functions, we kindly invite to check this verified question: brainly.com/question/6904750
Answer:
y = 4x - 8
Step-by-step explanation:
x = 1/4y + 2
-1/4y -1/4y
-1/4y + x = 2
-x -x
-1/4y= -x + 2
*-4 *-4
y = 4x - 8
Answer:
C
Step-by-step explanation:
We are given that:

And we want to find k'(3).
So, let's find k'(x). Take the derivative of both sides. This will require the Quotient Rule. Hence:

We want to find k’(3). Substitute:

Using the table, make the appropriate substitutions:

Evaluate:

Therefore, our answer is C.