Answer:
a. 8.4 ft³
b. 4.44 ft × 2.44 ft × 0.78 ft
Step-by-step explanation:
a. <em>Maximum volume
</em>
We are creating a box with dimensions
l = 6 – 2x
w = 4 – 2x
h = x
V = lwh = x(6 – 2x)(4 – 2x)
We must determine the value of x that makes V a maximum.
One way is to plot the function V = x(6 – 2x)(4 – 2x).
The maximum appears to be at about (0.78, 8.4).
Thus, the maximum volume is 8.4 ft³.
b.<em> Dimensions
</em>
l = 6 – 2 × 0.78 = 6 – 1.56 = 4.44 ft
w = 4 – 2 × 0.78 = 4 – 1.56 = 2.44 ft
h = 0.78 ft
The box with maximum volume has dimensions 4.44 ft × 2.44 ft × 0.78 ft.
Answer: 
Step-by-step explanation: The line labeled 
here is called the hypotenuse. There are a few ways to calculate the hypotenuse, but the most common way is by using this equation: .
I hope this helped! ;) Good luck on your test or quiz or whatever you have to do in order to pass!
Answer:
Option A would be your answer
Step-by-step explanation:
Had this question on Achieve3000
To find 75% of 200, we can multiply two fractions.
75/100 * 200/1
Now, just multiply the numerators and the denominators separately.
75 * 200 = 15000
100 * 1 = 100
Now, divide.
15000/100 = 150
<h3>75% of 200 is 150.</h3>
