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Answer:
-14/25
Step-by-step explanation:
Remember i^2 = -1. Otherwise, the math is the same as for any polynomials.
First simplify
-2x - 2 = -27 + 5x
Then add 27 to both sides
-2x - 2 = -27 + 5x
+27. +27
-2x + 25 = 5x
Now add 2x to both sides
-2x + 25 = 5x
+2x. +2x
25 = 7x
Last, divide 7 from both sides
25/7. = 7x/7
X = 25/7 or 3 4/7
<h3>
Answer: 40.0</h3>
Work Shown:
r = 3 is the radius
h = 3 is the height
LA = lateral area of the cone
LA = pi*r*sqrt(r^2 + h^2)
LA = pi*3*sqrt(3^2+3^2)
LA = pi*3*sqrt(18)
LA = pi*3*3*sqrt(2)
LA = 9*sqrt(2)*pi .... exact area in terms of pi
LA = 39.9859464434252 ... approximate area
LA = 40.0 ......... rounding to nearest tenth
I used my calculator's stored version of pi to get the approximate answer.
Note how the slant height L = sqrt(r^2+h^2) which can be shown through the pythagorean theorem.