What is the complete question?
Answer:
The inequality x3 − 14x2 + 48x − 1,680 ≤ 0 can be used to find pool’s length.
⇒The water level in the pool cannot exceed 14 feet.
Step-by-step explanation:
The question is on inequalities
Given;
Length= x ft
depth= x-6 ft
Width= x-8 ft
volume ≤ 1680 ft³
Forming the inequality to find length x of the pool
Volume= base area × depth
base area × depth ≤ volume
x(x-8) × (x-6) = 1680
(x²-8x )(x-6) = 1680
x(x²-8x) -6 (x²-8x)=1680
x³-8x²-6x²+48x=1680
x³-14x²+48x=1680
x³-14x²+48x-1680 ≤ 0
⇒The water level in the pool cannot exceed 14 feet...why?
taking the value of x at maximum to be 17 according to the graph, then maximum depth will be;
d=x-6 = 17-6=11 ft
⇒11 ft is less than 14ft
Answer:
At the given rate, Mr. Hickman's cherry tree would grow 16 inches in 1 year.
Step-by-step explanation:
I assume the actual question is:
<em>"Mr. Hickman` s cherry tree grew 12 inches in 3/4 of a year. How much would it grow in one year ?"</em>
As stated,
In 3/4 of a year, Mr. Hickman's cherry tree grew = 12 inches
Therefore,
In 1 year, Mr. Hickman's cherry tree would grow =
inches
= 4/3 * 12 inches
= 16 inches
Hence, at the given rate, Mr. Hickman's cherry tree would grow 16 inches in 1 year.
Answer: I think it is b
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given


Required
Calculate the diameter
The area of a sector is:

Substitute values for Area and 

Divide both sides by 

Make
the subject



Take positive square roots of both sides



The diameter is then calculated as:


