1- Leave the 1st case empty
2- Write on the 1st row each element of the trinomial in each case
3-Write on the 1st column in each case each of the element of the binomial
║ y² -3y 9
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y ║ y³ -3y² 9y
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3 ║ 3y² -9y 27
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TOTAL║(y³+3y²) +(-3y²-9y) + ( 9y+27)
If you add the Total you will get: (A) Y³+27
Answer:
12a. 471.2 cm²
12b. 60 m²
Step-by-step explanation:
Part A.
The surface area of each figure is the sum of the end area and the lateral area.
<u>cylinder</u>
S = (2)(πr²) +2πrh = 2πr(r +h)
S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²
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<u>triangular prism</u>
S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism
S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²
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Part B.
Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.
Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.
The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).
Answer: 3
3,000,000,000
Step-by-step explanation:
Billions have 9 zeros
The solution to the equation would be 21.5
Why?
If you do the equation backwards
30 - 8.5 = x
You would get 21.5
You can plug it into the first equation to check!
:)
The 3 pack cost $9.45
3 single cartons would have cost: 3 x 4.20 = $12.60
Difference in cost: 12.60 - 9.45 = $3.15
Percent savings : 3.15/ 9.45 = 0.3333
0.333 x 109 = 33.33%
Round the answer as needed
