All of my resources are saying that this has no inverse.
Answer:
Option (1)
Step-by-step explanation:
Angles 2 and 5 are supplementary by the same-side interior angles theorem.
Because the triangle is an equilateral triangle, you know that all of the angles are equal to 60°. That means that you can use trigonometry to find the height, which would be sin(60) × 20 = 17.32.
Again, because it is an equilateral triangle, all sides are equal as well, meaning that the base is also 20cm. To find the area of the triangle, we must do (20 × 17.32)/2 = 173.2cm^2, which is the area.
I hope this helps!
Answer:
Base = 5 cm
Height = 20 cm
Step-by-step explanation:
Points to remember
Area of triangle = bh/2
Where b - base of triangle
h - Height of triangle
<u>To find the Height and Base of given triangle</u>
It is given that,area of a triangle piece of stained glass is 50 centimeters
the height of the triangle is four times the base
h = 4b
Area = bh/2
50 = (b * 4b)/2
100 = 4b²
b² = 100/4 = 25
b =√25 = ±5
b = 5 then h = 4b = 4 * 5 = 20
Base = 5 cm and Height = 20 cm
Answer:
(x, y) = (2, -3/4)
Step-by-step explanation:
The point of the "elimination" technique is to combine the equations in a way that eliminates one of the variables. Sometimes this involves multiplying one or both of the equations by constants before you add those results together. In any event, the first step is to look at the coefficients of the variable terms to see if there is a simple combination of them that will result in zero.
The y terms have coefficients that are opposites of each other (4, -4), so you can simply add the two equations to eliminate y as a variable.
(2x +4y) +(x -4y) = (1) +(5)
3x = 6 . . . . . simplify
x = 2 . . . . . . divide by 3
Now, you find y by substituting this value into one of the equations. I would choose the equation with the positive y-coefficient:
2(2) +4y = 1
4y = -3 . . . . . . subtract 4
y = -3/4
Then the solution is ...
(x, y) = (2, -3/4)
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A graphing calculator confirms this solution.