Answer:
Step-by-step explanation:
Let w represent the width of the rectangle.
The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. It means that the length is (2w - 7) inches
Part A
The function that gives the area as a function of the width is
A(w) = w(2w - 7)
Part B:
If the area of the rectangle is 60 square inches, it means that
w(2w - 7) = 60
2w² - 7w = 60
2w² - 7w - 60 = 0
2w² + 8w - 15w - 60 = 0
2w(w + 4) - 15(w + 4) = 0
2w - 15 = 0 or w + 4 = 0
w = 15/2 or w = - 4
Since w cannot be negative, then
w = 15/2 = 7.5 inches
The volume of the cone is 1507.96. Hope this helps!! Have an amazing rest of your day!! :)
Answer:
Step-by-step explanation:
If ΔABC ~ ΔDEF
Then their sides must be proportional such that:
=>
Cross Multiplying
=> x * 6 = 8*3
=> 6x = 24
Dividing both sides by 6
=> x = 4