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4×10-1
40-1
39 is your answer
The surface area of a cone consists of the area of lateral side and the area of the base. The area of lateral side is determined using (π × r × s), s represents the slant height. The area of the base is determined using the formula of the area of a circle.
area of lateral side + area of base = surface area
(π × r × s) + (π × r²) = surface area
Input the numbers
(π × r × s) + (π × r²) = surface area
(π × 10 × s) + (π × 10²) = 150π
10πs + 100π = 150π
10πs = 150π - 100π
10πs = 50π
s = 50π/10π
s = 5
The slant height is 5 inches
Answer:
2x ^5 sqrt( 6x)
Step-by-step explanation:
sqrt( 3 x^4) * sqrt( 8 x^7)
Multiply them together
sqrt( 3x^4 * 8x^7)
sqrt( 24 x^ (4+7))
sqrt( 24 x^11)
We can simplify
sqrt(24) sqrt(x^11)
sqrt( 4*6) sqrt( x^10) sqrt(x)
sqrt(4) sqrt(6) x^5sqrt(x)
2 sqrt(6) x^5sqrt( x)
Combining the square roots
2x ^5 sqrt( 6x)