Sin^(1/2) x cos x - sin^(5/2) cos x
= sin^(1/2) x cos x - sin(1/2)x sin^2 x cos x
factoring we get:
cos x sin^(1/2) x ( 1 - sin^2 x)
Now 1 - sin^2 x = cos^2 x so we have
cos x sin^(1/2) x * cos^2 x
= cos^3 x sqrt sin x
Answer:
the andwer should be c
Step-by-step explanation:
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Answer: The expression given simplifies to:
3 .
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Explanation:
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Given: (3x - 6) / (x-2) ;
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Factor the numerator into: 3(x-2).
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Now, rewrite the expression as:
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;
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The "(x - 2)" values cancel to "1" ; since "(x - 2) ÷ (x - 2) = 1" ;
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and we are left with: "3 ".
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Answer: surface area = 313.2 cm²
Step-by-step explanation:
The given figure is an hexagonal pyramid. It has a hexagonal base and six triangular lateral faces. The formula for determining the surface area of the pyramid is expressed as
Surface area = 3ab + 3bs
Where
a represents the apotherm which is the distance from each side of the hexagon to the center.
b represents the base length
s represents the slant height of the hexagonal base.
From the information given,
a = 5.2 cm
b = 6 cm
s = 12.2 cm
Surface area = (3 × 5.2 × 6) + (3 × 6 × 12.2) = 93.6 + 219.6 = 313.2 cm²