Answer:
c) Length = 12, width = 8 and height = 23.
Step-by-step explanation:
Let the length be x, then the width = x - 4 and the height = 2x - 1.
a) The polynomial is x(x - 4)(2x - 1)
b) x(x - 4)(2x - 1) = 2208
c) x(x - 4)(2x - 1) - 2280 = 0
2x^3 - 9x^2 + 4x - 2280 = 0
I'll use graphical software to find a solution for this. Its easily obtained online.
There is one real root and its x = 12.
So the dimensions of the box are L = 12, W = 8 and H = 23 inches.
9514 1404 393
Answer:
- tan B = 12/5
- cos B = 5/13
- sin B = 12/13
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the applicable ratios:
Tan = Opposite/Adjacent ⇒ tan B = CA/CB = 12/5
Cos = Adjacent/Hypotenuse ⇒ cos B = BC/BA = 5/13
Sin = Opposite/Hypotenuse ⇒ sin B = AC/AB = 12/13
Answer:
12s² + 11st - 2t²
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis
= - 12s³ + 3st + 8st - 2t² ← collect like terms
= - 12s² + 11st - 2t²
1250 miles. You're given a rate and a time, so you can solve for distance using d =rt
d= 250*5 = 1250
Answer: The correct option is
(C) y = −8 ÷ 2; y = −4.
Step-by-step explanation: We are given to select the correct steps that shows the solution to the following equation :
We know that
the solution to the equation 
is given by
Therefore, the solution of equation (i) is as follows :
Thus, (C) is the correct option.
