Answer:
Step-by-step explanation:
Let
Side of square base=x
Height of rectangular box=y
Area of square base=Area of top=
Area of one side face=
Cost of bottom=$9 per square ft
Cost of top=$5 square ft
Cost of sides=$4 per square ft
Total cost=$204
Volume of rectangular box=
Total cost=
Substitute the values of y
Differentiate w.r.t x
It takes positive because side length cannot be negative.
Again differentiate w.r. t x
Substitute the value
Hence, the volume of box is maximum at x=2.2 ft
Substitute the value of x
Greatest volume of box=
It's already in the simplest form.
Answer:
∠B = 60°
Step-by-step explanation:
They are supplementary angles, which means they add up to 180°.
∠B + ∠A = 180
? + 120 = 180
? = 180 - 120
? = 60°
2x+3 = 4x+7
-4 = 2x
x = -2
Answer:
The home printer is faster.
Step-by-step explanation:
25 photos in 12.5 minutes
12.5 is half of 25 and therefore this is a two to one ratio.
So 2 photos print in 1 minute with the office printer.
And 4 photos in 2 minutes(this is relevant later)
The home printer prints 15 photos in 6 minutes. Since 15 is not divisible by 6 without a remainder divide both by 3.
So 5 photos in 2 minutes. This is faster than the office printer.
To find how many photos it would print in 12 more minutes, simply multiply 15 by two, since the minutes(6) was multiplied by 2 to get 12. This leaves you with an answer of 30 photos in 12 minutes
