Answer:
156 in squared
Step-by-step explanation:
So the formulas will be stated below
Parallelogram Area= 1/2h(b1+b2)
Square Area= Bh
So first do
(4)(12+6)
(4)(18)
No need to half it bc there's the same shape at the bottom
72+18+30+36
6(3)
3x5(2)
12(3)
Well its a simplest form of zero and 6 tenths and if u divide it by 2 youll get 3/5 as a fraction
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 :)
(-6y-2)+5(3+2.5y) expend
-6y-2+15+12.5
6.5y+13
Answer:
.
Step-by-step explanation: