The radius of a circle measures 16 mm what is the circumference of the circle?
2 answers:
Answer:
100.48mm
_____________
The formula for calculating the circumference of a circle is 2πr or 2 * pi * radius.
You are given that the radius is 16mm. You are also told to use 3.14 as a way to solve the problem. If you were going to use π, it cannot be displayed as a number without rounding. Looking at it's value, 3.1415.... We can reasonably assume that they want us to use 3.14 instead of pi. Now let's calculate it:
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Answer:
x = ± - 3
Explanation:
I'm assuming you want the solutions to that equation, so here goes! (If not, please comment.)
(x-3)(x+9)=27
Let's FOIL this all out and expand. (Remember: First, Outer, Inner, Last.)
x^2 + 9x - 3x - 27
(first+ inner + outer + last)
x^2 + 9x - 3x - 27 = 27
Combine like terms, and add 27 to both sides.
x^2 + 6x - 27 + 27 = 27 + 27
x^2 + 6x = 54
Let's complete the square, because factoring doesn't work, and because it's good practice.
x^2 + 6x + ___ = 54 + ____
In the blank we will put b/2 ^2 = 6/2 ^2 = 3^2 = 9 to complete the square.
x^2 + 6x + 9 = 54 + 9
Now we've got a perfect square factor:
(x + 3)^2 = 63
sqrt(x+3)^2 =
x + 3 = ±
x = ± - 3