Volume of the box= <span>56 cubic inches
let x is the length, then
width =</span><span>2 inches shorter than its length = x - 2
</span>height = <span>3 inches taller than its length = x+3
Volume = length x width x height
56 = x x (x-2) x (x+3)
56 = (x</span>² -2x)(x+3)
56 = x³ +3x² -2x² - 6x
56 = x³ + x² -6x
x³+x²-6x-56 = 0
using the rational root theorem and factoring the polynomial;
(x-4)(x² +5x +14) = 0
from here;
x-4 = 0
x = 4
So, length = 4 inches
width = x - 2 = 4 -2 = 2 inches
length = x + 3 = 4 + 3 = 7 inches
volume = l x w x h = 4 x 2 x 7 = 56
Answer:
C.
Step-by-step explanation:
It does not have to be April if there are 30 days. If its not April, it can still have 30 days. April does have 30 days.
The length l is given as:
l = 2 w – 6
where w is the width
We know that the fencing is 30 feet therefore the
perimeter (excluding the side of the house) is:
P = l + 2 w = 30
2 w – 6 + 2 w = 30
4 w – 6 = 30
w = 9
So the length l is:
l = 2 (9) – 6
l = 12
<span>The dimensions are 12 ft x 9 ft</span>
Answer:
1/27
Step-by-step explanation:
1/3 / 1/9 = 1/27
