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 :)
75 miles per hour means,
75 miles per 60 minutes.
And this makes 1.25 miles per 1 minute.
1 mile is 1760 yards.
So 1.25 miles is ;
1.25 * 1760 = 2200 yards.
Answer is 2200 yards per minute.
Answer:
- 1.33 per pound
- 6.65 for 5 pounds
Step-by-step explanation:
To find cost per pound, divide cost by pounds.
3.99/(3 lb) = 1.33/lb . . . . cost per pound
The cost of 5 pounds will be found by multiplying that by 5:
(1.33/lb)(5 lb) = 6.65 . . . cost of 5 pounds
Answer:
AC = 17.3
Step-by-step explanation:
AC = √c2 - b2
= √18.6862701378782 - 72
= √300.17669166575
= 17.32561
= 17.3