Answer:
The triangle is 50,50 80
Step-by-step explanation:
The three angles of a triangle equal 180 degrees
We only want one 80 degree angle. That means the other two angles have to be the same, since it is an isosceles triangle. Call the other angle x
x+x+80 = 180
2x+80 =180
Subtract 80 from each side
2x+80-80=180-80
2x =100
Divide by 2
2x/2=100/2
x = 50
Each of the other angles in the triangle would have to equal 50 degrees
The triangle is 50,50 80
The correct quadratic equation;
x2+7x-2=0
Working
Assuming the frame has a uniform thickness;
Then length of mirror and frame is 3+x and width 2+x
The area of mirror and frame area;
A=L*W
8=(3+x)(2+x)
8=(6+5x+x2)
Taking 8 to the Right hand side, we have:
x2+5x-2 =0
Answer:
x = -2
y = -5
Step-by-step explanation:
We can solve this algebraically (substitution or elimination) or graphically. I will be using elimination:
Step 1: Add the 2 equations together
-8y = 40
y = -5
Step 2: Plug <em>y </em>into an original equation to find <em>x</em>
-3(-5) + 10x = -5
15 + 10x = -5
10x = -20
x = -2
And we have our final answers!
Answer:
θ = {(4/3 +2k)π, (5/3 +2k)π}
Step-by-step explanation:
From your knowledge of trig functions, you know that sin(60°) = sin(π/3) = (√3)/2. So, the angles of interest are in the 3rd- and 4th-quadrant and will have π/3 as their reference angle.
θ = 4/3π +2kπ, and 5/3π +2kπ
