Answer: 8 feet
Step-by-step explanation:
Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:
a^2 + b^2 = c^2
(building)^2 + (missing piece)^2 = (ladder)^2
6^2 + x^2 = 10^2
36 + x^2 = 100. subtract 36
x^2 = 64. square root of both sides
x = 8
Answer:
x ∈ (-∞, -1) ∪ (1, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:

So the roots are:

Therefore we can write the expression in the following way:

Now the expression is as follows:

Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that make up the expression:

We know that the first two are not allowed because they make the denominator zero.
Observe the attached image.
Note that:
when 
when 
and
is always 
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)
This is the same as
x ∈ (-∞, -1) ∪ (1, ∞)
cups of cheese is needed to make 10 pizzas.
<u><em>Explanation</em></u>
For making one pizza, amount of cheese needed =
cups =
cups.
Now for finding the total amount of cheese needed to make 10 pizzas, we need to <em>multiply
cups by 10. </em>
So, 
Thus,
cups of cheese is needed to make 10 pizzas.
<h2>Answer:</h2>
<u>1/2 is equal to 0.5, so </u><u>-1/2 is -0.5</u><u>.</u>
If you divide -1 by 2, you get -0.5.
Answer:

Step-by-step explanation:
