Answer:
W=12 cm, L=18 cm
Step-by-step explanation:
given:
The length of a rectangle is 6 centimeters less than two times its width.
The area of the rectangle is 216
square centimeters.
find:
What are the dimensions of the rectangle?
solution:
area of a rectangle = Length(L) x Width(W)
where
A = 216 cm²
L = 2W - 6
plugin values into the formula
216 = (2W - 6) W
216 = 2W² - 6W
rearrange:
2W² - 6W - 216 = 0
solve W by using quadratic equation:
- (-6) ±
W = -------------------------------------------
2 (2)
W = 12; W = -9
solve L: substitute W=12 into L = 2W - 6
L = 2W - 6
L = 2(12) - 6
L = 18 cm
therefore:
the dimensions of the rectangle is W=12 cm, L=18 cm
Answer:
97.6 cm³
Step-by-step explanation:
Volume of plastic object :
Volume of cylinder - volume of cone
From. The diagram. :
Radius, r = diameter /2 = 4/2
Volume of cylinder = pi*r²h
V = 22/7 * 2² * 8 = 100.53096 cm³
Volume of cone = 1/3*pi*r²h
V = 1/3 * 22/7 * 2² * 8
V = 2.9321531 cm³
(100.53096 - 2.9321531) cm³
= 97.598 cm³
= 97.6 cm³
