Step-by-step explanation:
1.√2×(-2√9)×(-√2)
= -2×(-2×3)
=12 option a
2. √5×√15×√75
= √5×(√3√5)×(5√3)
= 5×3×5
=75 option b
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: πr^2
Step-by-step explanation:
π is pie which is about 3.14
but you need to find the radius and square it is multiply it by itself (Example radius = 2 so 2x2=4)
then multiply the radius squared by π(pie) which is 3.14 or use a calculator.
AB = 9 cm
BC = 6cm
CD = 7 cm
AE = 6 cm
3BC = AB
3ED = AE
AB = AE
BC ED
⁹/₃ = ⁶/ₓ
3 · 6 = 9 · x
18 = 9x
9 9
2 = x
ED = 2 cm
1) Would be c+15 because you can combine 19-4
2) Would be m+2 because you can combine 12-10
