<h2>
Dimension of box is 2 m x 2 m x 1.33 m</h2>
Step-by-step explanation:
Let a be base side and h be the height.
Volume of box, V = a²h
The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.
That is
4a² + 3 x 4 x a x h = 48
4a² + 12 a x h = 48
a² + 3 ah = 12
So volume is
At maximum volume we have derivative is zero,
Negative side is not possible, hence side of square base is 2m.
Substituting in a² + 3 ah = 12
2² + 3 x 2 x h = 12
h = 1.33 m
Dimension of box is 2 m x 2 m x 1.33 m
Answer:
C: 2; Allison, Richard, and Hope are right because the graph can have 0,1, or 2 x-intercepts.
Answer:
9.0
Step-by-step explanation:
x = 7 / cos 39°
= 7 / 0.7771
= 9.0
To calculate any speed, the equation is speed=distance/time
Basically, you first need to take your 9 hours and 15 minutes and combine them into a number with a decimal value.
So, 15*4=60
Sound familiar? Good, because 25*4=100, so they are the same here.
So, we can say 9 hours and 15 minutes is equal to 9.25
Take this now: Speed=538/9.25
You get 58.1621, which you can round to 58.2
This is, of course, your final answer, so Joe drove at 58.16 mph
Answer:
3 1/4
Step-by-step explanation:
3/4 + (1/3 ÷1/6) - (-1/2)
Subtracting a negative is adding
3/4 + (1/3 ÷1/6) +1/2
Parentheses first
Copy dot flip
3/4 + (1/3 * 6/1) +1/2
3/4 + 2 + 1/2
Get a common denominator
3/4 + 2 + 2/4
2 + 5/4
2 + 4/4 +1/4
2+1 + 1/4
3 1/4
