Answer:
-2y^2 -x^2 -5
Step-by-step explanation:
Just simplify everything. I recomend putting them in seperate groups. By exponent. Don't forget the signs, they are very important.
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).
In my opinion the concepts that belong in the branch of mathematics would be algebra, geometry, trigonometry, calculus, statistics, and probability. All of the following are known the be main branches of pure mathematics.
Answer:
138 3/8
Step-by-step explanation:
total shampoo used for 555 dogs = 1/4 x 555 = 138 3/8 bottles
