I mean i don't know what to do but i made this graph online using https://www.mathpapa.com/algebra-calculator.html
Answer:
Since we have a 30° - 60° - 90° triangle, we can calculate any side by knowing at least one out of three:
Since the length of the hypotenuse is twice as long as the shorter leg, we have:
The length of the short leg is: 25/2 = 12.5
Since the length of the longer leg is equal to the length of the shorter leg
multiply by square root of 3 we have:
The length of the longer leg is: 12.5 × √3 ≈21.65
=> The perimeter of the triangle is: 25 + 12.5 + 21.65 = 59.15
Answer:
one solution with a y value of 5
Step-by-step explanation:
/| x+y-4 = 0| x-y-6 = 0
We try to solve the equation: x+y-4 = 0
x+y-4 = 0 // - x-4
y = -(x-4)
y = 4-x
We insert the solution into one of the initial equations of our system of equations
We get a system of equations:
/| x+x-6-4 = 0| y = 4-x
2*x-10 = 0 // + 10
2*x = 10 // : 2
x = 10/2
x = 5
We insert the solution into one of the initial equations of our system of equations
For y = 4-x:
y = 4-5
y = -1
We get a system of equations:
/| y = -1| x = 5
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
