Inspired by the works of Neil Dawson and Bert Flugelman, Kassidy drafts a design for a modern sculpture, the amount of steel Kassidy will need is mathematically given as
SA=16.094711 ft^2
<h3>What is the amount of steel Kassidy will need to create the sculpture if the base of the sculpture is 4-feet tall and has a 2-foot diameter.?</h3>
Generally, the equation for the surface area of a cone is mathematically given as
SA=πr(rπ+√(h^2+r^2))
Therefore
SA=πr(rπ+√(h^2+r^2))
SA=π*1(1+√(4^2+1^2))
SA=16.094711 ft^2
In conclusion, the amount of steel Kassidy will need is
SA=16.094711 ft^2
Read more about surface area
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Answer:
- correct answer is C
- Haley incorrectly applied the distributive property
Step-by-step explanation:
If you simplify the given equation, you find it matches choice C.
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Haley's error seems to be failing to distribute the 1/2 properly when she eliminated parentheses. Apparent, she incorrectly decided that ...
1/2(6 -x) ⇒ 3 -x . . . . instead of 3 -1/2x
Then when -x was added to +3x, she got 2x. Had she done it properly, she would have added -1/2x to +3x to get 5/2x.
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<em>Additional comment</em>
It is a common error to "distribute" the factor outside parentheses to the first term only, as Haley apparently did. Another common error is to fail to distribute minus signs properly. The distributive property requires you apply the outside factor to <em>all</em> of the terms inside parentheses.
Answers
1) 4
2) 0, 2, -10
3) 0, 5, -2
Step-by-step explanation:
1) x³ - 64 = 0
x³ = 64
x = 4
2) x³(x² + 8x - 20) = 0
x³(x² + 10x - 2x - 20) = 0
x³(x(x + 10) - 2(x + 10)) = 0
x³(x + 10)(x - 2) = 0
x = 0, 2, -10
3) x³ - 3x² - 10x = 0
x(x² - 3x - 10) = 0
x(x² - 5x + 2x - 10) = 0
x(x(x - 5) + 2(x - 5)) = 0
x(x - 5)(x + 2) = 0
x = 0, 5, -2
Answer:
x=ln(41)/ln(243)
Step-by-step explanation:
20(3)^5x=820
3^5x=820/20
3^5x=41
5x=ln(41)/ln(3)
x=(1/5)[ln(41)/ln(3)]
x=ln(41)/ln(3^5)
x=ln(41)/ln(243)
