Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long
Answer:
6(4r+5)
Step-by-step explanation:
Hope this helped!
Answer: a²+2b+2ab
Step-by-step explanation:
(2a²+62+2b+1)-(a²+62-2ab+1)
2a²+62+2b+1 - a²-62+2ab-1
a²+2b+2ab
Volume (sphere)=(4/3)πr³ ⇒r=∛(3v/4π)
Data:
v=11.0 m³
Therefore:
r=∛(3*11 m³/4π)=1.37964... m≈1.38 m
Answer: the radius is 1.38 m.
