Answer:
The maximum volume of the box is:
Step-by-step explanation:
Given
Required
The maximum volume of the box
Let
The surface area of the box is:
So, we have:
Divide both sides by 2
Make b the subject
The volume of the box is:
Substitute:
Spit
Differentiate V with respect to a
Set to calculate a
Collect like terms
Multiply both sides by 2
Solve for a
Recall that:
Apply law of indices
So:
Answer:
(a) 4.148 x 10^(12) ways
(b) 5,827,360 ways
Step-by-step explanation:
Number of Demonstrators (D) = 44
Number of Repudiators (R) = 56
(a)
5 senate members must be Repudiators and 5 must be demonstrators, assuming that the order at which they are selected is irrelevant:
(b)
Since there are two different positions, (speaker and vice speaker), order is important in this situation, and the total number of ways to select two senators from each party is:
Answer:
It's gonna be C and good luck!
Find the area of each shape and add.Let's start with the first semi-circle(half-circle)
If the area of a circle is πr² , then the area of a semi-circle is 1/2πr² where is 22/7 or 3.14, and r is the radius which is 1.8 meters
A=1/2πr²
A=1/2*22/7*1.8*1.8
A=5.09 m²(rounded to nearest hundredth)
Since the semi-circles are two and have the same radius, multiply the area of the first one by two or go through the same process again.
So 5.09 *2=10.18meters square is the area of the two semi-circles
Now, let's find the area of a rectangle which is length times width, where length is 6 meters and width is (1.8+1.8, because 1.8 is half the width)=3.6 meters
A=l*w
A=6*3.6
A=21.6meters square
Therefore the area of the shape is 10.18m²+21.6m²=219.888m²
Answer:
The flow per-minute is 12 gallons every minute
Step-by-step explanation:
x-y
1-12
2-24
3-36