Answer:
162 ft^2
Step-by-step explanation:
18 * 18 = 324
324/2 = 162
The area of the patio is 162 square feet
Answer:
7x+14=0, 7x=-14, x= -2
Step-by-step explanation:
add like terms, then get x on one side, number on the other, then divide both sides by 7
Answer:
25%
Step-by-step explanation:
To solve this, we can use the percent change formula shown in the picture attached below.
is the new value,
is the old value, and
represents the change. For this problem, 80 is the new value and 64 is the old value. Let's plug those numbers into the formula and solve for the percent change:
× 
×
×

Thus, the answer is 25%.
Answer:
let second side be x
then first side = x-13
third side= x+1
now
perimeter of triangle = 45
x-13+x+x+1=45
3x=57
x=19
first side = x-13= 19-13=6
third side= x+1=19+1=20
Step-by-step explanation:
Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)

In this case, the function is:
f(x) = Sin(x)/(1 + Cos(x))
Then we have:
h(x) = Sin(x)
h'(x) = Cos(x)
And for the denominator:
k(x) = 1 - Cos(x)
k'(x) = -( -Sin(x)) = Sin(x)
Replacing these in the rule, we get:

Now we can simplify that:

And we know that:
cos^2(x) + sin^2(x) = 1
then:
