Answer:
8.80
Step-by-step explanation:
(S. D.)^2=summation(x-mean)^2/(n-1)
S. D.=sqrt(388/5)
S. D.=8.80
The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
and solve it for x: subtract 13x from both sides to get
and add 2 to both sides to get
Check: if we plug the value we found we have
So the angles are actually the same, as requested.
An exponential function has a graph that is a smooth curve; it either increases at an ever increasing rate or decreases at an ever increasing rate. The only graph that fits these characteristics is the first one.
Approximately 2 gallons will be needed if each gallon of stain and the project will cost be $73.96 if each gallon costs $36.98
<h3>How to find the area of a triangle</h3>
The formula for calculating the area of a triangle is expressed as:
A = 0.5bh
where
base = 15feet
height = 20feet
Area of the deck = 20 * 15 * 0.5
Area of the deck is 150 square feet
Number of gallons needed = 350/150 = 2.3
Hence approximately 2 gallons will be needed if each gallon of stain covers a maximum of 350 square feet.
Cost of the two gallons = 36.98 * 2
Cost of the two gallons = $73.96
Hence the project will cost be $73.96 if each gallon costs $36.98
Learn more on area of a triangle here: brainly.com/question/23945265
Answer: 
Step-by-step explanation:
Since, here the length of the rectangle is represented by the function l(x) = x + 24,
While the breadth of the rectangle is represented by the function w(x) = x + 16.
And, we know that the area of the rectangle = length of the rectangle l(x) × breadth of the rectangle.
a(x) = l(x) × w(x)
a(x) = (x + 24) × (x + 16)
