Answer:
9.3 centimeters
Step-by-step explanation:
If the length of the third side of the triangle is c, then according to the Law of Cosines, c2 = 72 + 132 – 2(7)(13)(cos 44°). The value of c2 can be simplified to approximately 49 + 169 – 130.9198, or 87.0802, using a calculator. By taking the square root of 87.0802, the length of the third side of the triangle comes out to be approximately 9.3 centimeters.
Answer:
see below
Step-by-step explanation:
6y = 12x + 26
15y = 45x + 60
First let's simplify these equations.
6y = 12x + 26
Divide each term by 6.
y = 2x + 26/6
Simplify the fraction.
26/6
= 13/3
Your simplified equation is:
y = 2x + 13/3
Let's simplify the other equation.
15y = 45x + 60
Divide each term by 15.
y = 3x + 4
These are your simplified equations.
y = 2x + 13/3
y = 3x + 4
We can see that the slope of the first equation is not equal to the slope of the second equation.
- equation 1: slope is 2 shown from 2x
- equation 2: slope is 3 shown from 3x
The y-intercept of the first equation is not equal to the y-intercept of the second equation.
- equation 1: y-intercept is 13/3 shown by + 13/3
- equation 2: y -intercept is 4 shown by + 4
Now we want to solve the equations.
Both equations are equal to y, so you can set them equal to each other.
2x + 13/3 = 3x + 4
Combine like terms.
1/3 = x
Plug x = 1/3 into both of the equations separately..
y = 2(1/3) + 13/3
y = 2/3 + 13/3
y = 15/3
y = 5
y = 3(1/3) + 4
y = 3/3 + 4
y = 1 + 4
y = 5
Your solution is (1/3, 5)
The system of equations has one solution.
Hope this helps!
135 degrees since all of its sides are congruent.
1080 divided by 8 equals 135 degrees
Answer:
1 11/38
Step-by-step explanation:
7 divided by 5 3/7 and you get 49/38 simplify by divided the the top by the bottom and you should get 1 11/38
