To determine the area of a triangle, we calculate one half of the product of the base and the height of the triangle so we need data on its base and its height. We are given the following:
Hypotenuse = 7 + base = 14 + height
Perimeter = 84 inches
The perimeter of the triangle is equal to the sum of the three sides of the triangle which are the height, base and hypotenuse. So,
Perimeter = height + base + hypotenuse = 84
We let x = height and y = base. We calculate area as follows:
84 = x + y + (7 + y)
77 = x + 2y
x = 77 -2y
Hypotenuse is related to the other sides by the Pythagorean theorem.
Hypotenuse^2 = (x^2 + y^2)
(14 + x)^2 = x^2 + y^2
(14 + (77-2y))^2 = (77-2y)^2 + y^2
(91-2y)^2 = (77-2y)^2 + y^2
Solving for y and x
y = 28
x = 21
Area = (28)(21) / 2 = 294 square inches
Answer:
Use the vertical motion model, h = -16t^2 + 21 , t=1 second
h = -16(1) ^2 + 21
h = 5 feet
Step-by-step explanation:
Just plug in the time with t to get your answer in height
Answer:
x = -9
Step-by-step explanation:
Let unknown number = x
Largest 2-digit number = 99
x * (-11) = 99
x = 99 ÷ (-11)
x = -9
Answer:
D. Corey!
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Answer: a
Step-by-step explanation: its getting rid of water and the original is 40
