area of tile = 6 *14 = 84 square inches
number of tiles = 8500/84 = 101.19
102 tiles are needed
Answer: (x + 7)(x - 7)
Explanation: If a variable is taken to an even power, that variable is a perfect square. In this case, x² would therefore be a perfect square.
Since 49 is also a perfect square, what we have here is the difference of two squares. That can be factored as the product of two binomials one with a plus in the middle and one with a minus in the middle.
In the first position will be the factors of x² that are the same.
So we have <em>x</em> and <em>x</em>.
In the second position we will have the
factors of 49 that are the same, 7 and 7.
(x + 7)(x - 7) is your answer which is a factored version of x² - 49.
<span>The third side of triangle ABC is AB. Using the Pythagorean Theorem, its length is 12.
12² + 16² = 20²
∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)
The sin(∠C) = opposite/hypotenuse
= |AB| / |AC|
= 12/20
= 3/5
= 0.6
So the answer is 0.6.</span>
