Use Pythagoras:
x² = (8.5)² + (5)²
x = √[(8.5)² + (5)²]
9514 1404 393
Answer:
486√3 ft² ≈ 841.8 ft²
Step-by-step explanation:
The area of a regular hexagon with side length s is ...
A = (3√3)/2s²
For the side length of 18 ft, the area is ...
A = (3√3)/2(18 ft)² = 486√3 ft² ≈ 841.8 ft²
Answer: (-3,19)
Step-by-step explanation:
Here the given function is,






Since, the standard equation of a quadratic function is 
Where (h,k) is the vertex of the function.
On comparing the equation of given function with this standard form,
We get, the vertex of the given function is (-3,19)
⇒ First option is correct.
Answer:
The price that'll maximize revenue is 
Step-by-step explanation:
We know that the revenue function is
where <em>x</em> is the number of units sold and <em>p</em> is the demand function given by
.
Therefore,

The maximums of a function are detected when the derivative is equal to zero so, to find what value of x maximizes the revenue function, we must find the derivative of the revenue function (
) and set it equal to 0.


Therefore, the price that'll maximize revenue is

24 ft 2 1/4 inches - 23 ft 9 1/2 inches = 4 3/4 inches.
4 3/4 inches would tie it, so now add 1/4 more inches:
4 3/4 + 1/4 = 5 inches.
He needs to jump 5 inches more.