Perimeter = 27 + 9*sqrt(3), Approximately 42.58845727
Area = 40.5*sqrt(3). Approximately 70.14805771
Since all triangles have a total of 180 degrees and we've been given 2 of those angles, the remaining angle is 180 - 90 - 60 = 30 degrees. So we have a 30,60,90 degree right triangle. Drawing the triangle and assigning the proper angle to each vertex shows that AK is the short leg of the triangle. And since it's a 30,60,90 triangle, the hypotenuse is AL and it will be twice the length of AK, so it's 18. And finally, we can use the Pythagorean theorem to calculate the length of KL. So
KL = sqrt(18^2 - 9^2) = sqrt(324 - 81) = sqrt(243) = sqrt(81*3) = 9*sqrt(3)
So the perimeter is
P = 9 + 18 + 9*sqrt(3) = 27 + 9*sqrt(3). Which is approximately 42.58845727
The area is base times height divided by 2. And we have a base of 9 and a height of 9*sqrt(3). So
A = 9 * 9*sqrt(3)/2 = 81*sqrt(3)/2 = 40.5*sqrt(3). Which is approximately 70.14805771
It states that the ultimate advice is to show how this communicates together
The endpoints of bar(AB) have coordinates are A(9, 8) and B(-1, -2), so the midpoint is simply the average of x- component of both coordinates and the average of y- component of both coordinates.
A=(x₁, y₁)=(9, 8)
B=(x₂, y₂)=(-1, -2)
The midpoint formula is given below;
is the midpoint of bar(AB).
Answer:
(-∞,+∞)
Step-by-step explanation:
Because the equation does not have the y in a denominator, there should be an infinite number of solutions for the range.
8 can go into 10 once, with 2 left over. so it would be 1 2/8, but we simplify to get 1 1/4. you add 7+1 1/4 to get 8 1/4. Hope this helps:)
