<span>radius = 27 cm
apothem = 13.5 cm
Since you have an equilateral triangle with a perimeter of 81*sqrt(3), you can just divide the perimeter by 3 to get the length of a side, which is 27*sqrt(3).
We can construct a triangle to get the radius as a right triangle with one leg being 27*sqrt(3)/2 in length and the angles being 60/2 = 30 and 180-90-30 = 60 degrees.
The tangent of 30 degrees is 1/sqrt(3). So the length of the other leg will be 27*sqrt(3)/2 / sqrt(3) = 27/2. And finally, the hypotenuse will be twice that since it's a 30/60/90 triangle for a length of 27. And conveniently, the hypotenuse is the radius we desire. And also, quite conveniently, the apothem is the short leg of the 30/60/90 triangle which is 27/2 = 13.5 cm.</span>
The correct answer is C, 6.15
Answer:
<3
Step-by-step explanation:
Brainliest?
f(x)=|x+2|-3 The maximum point is -3 because that is the vertical shift.
f(x)=-|x-2|-3 The minimum point is -3 because that is the vertical shift.
As for the problem in the picture, the vertex is (5,3) because you take the opposite in the absolute value sign and you leave the vertical shift the same, and the graph is shifted 5 units right and 3 units up (Knowing this shift can help you figure out the vertex). The graph opens downward because there is a negative sign in front of it. The maximum is 3 because that is the vertical shift.
1/2 + 1/3 = 5/6
That leaves 1/6, which is $3.21. Since 1/3 is spent on stamps, and 1/3 = 2x(1/6), then 2x$3.21 is spent on stamps. The answer is $6.42.
