The logo for a school is an equilateral triangle inscribed inside a circle. the seniors are painting the logo on an outside wall of the school. the radius of the circle will be 6 feet. find the area of the triangle.

Try to do this on paper and follow my instructions:

Draw lines from the corner of the triangle towards the center of the circle. These will each have a length of 6'.

Now draw a line bisector from the center perpendicular to the sides of the triangle. Now you have 6 triangles of 30-60-90 degree angles.

Each 6 triangle has similar shape as half an equilateral triangle with side ratios of 1::2. In our case the hypotenuse is 6, so the ratio is 3:3:6.

The area of each triangle is:

A = (3*3)/2

So for all 6 it will be

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

a) 0

step-by-step explanation:

i^413 x i^0 = 0 as any number multiplied by a zero is

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