I have attached a screenshot with the images of the two popcorn bags used by the theater.
Part (a):Bag A:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 inBag B:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 inPart (b):To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3)
Surface area = 12 + 64 + 48
Surface area of bag A = 124 in²Bag B:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4)
Surface area = 16 + 48 + 48
Surface area of bag B = 112 in²From the above calculations, we can deduce that
the theater should choose bag B in order to reduce the amount of paper needed.
Hope this helps :)
Hey there
5/12 times 3 = 5/4
5/4 is an improper fraction
so it is changed to <span>= 1 1/4</span>
The answer is 1 1/4
hope this helps you
Definitely not. They are both perfect squares. A prime number is one where its only factors are one and itself.
Answer:
Rate of change = (1350 - 750)/(2010 - 2000) = 600/10 = $60
Initial value = $750
Equation is y = 60x + 750; where y is the amount charged to customer and x is the number of years from 2000.
Answer:
A. -12 meters
B. 28 meters
C. 40 meters
Step-by-step explanation:
The surface of the ocean would be 0.
Taking this into account, 12 meters below would be 0 - 12, which is -12. Therefore A's elevation would be -12.
For the sea bird, 28 meters above the surface, which is again 0, would be 0 + 28. B's elevation is 28.
Since the fish is 12 meters below the surface and the sea bird is 28 meters above the surface, simply add the two numbers up to get a total of 40 meters. C would be 40 meters.