Cos theta = 75/115
theta = cos^-1 (75/115)
theta = 49.2 degrees
0.88x distributive property and isolate the variables
Answer: The coordinates of the circumcenter is
.
Explanation:
The coordinates of triangle DEF are D(1,3) E (8,3) and F(1,-5).
Distance formula,




Since triangle follows pythagoras theorem,

Therefore the given triangle is a right angle triangle.
Or plot these points on a coordinate plane. From the figure we can say that the triangle DEF is a right angle triangle.
The circumcenter of a right angle triangle is the midpoint of the hypotenuse.
The hypotenuse is EF. The midpoint of EF is,

Therefore, the coordinates of the circumcenter is
.
Answer:
9 9/20
Step-by-step explanation:
4 1/5 * 2 1/4
Change the mixed nubers to improper fractions
4 1/5 = (5*4+1)/5 = 21/5
2 1/4 = (4*2+1) /4 = 9/4
21/5 * 9/4 = 189/20
Now we change it back to a mixed number
20 goes into 189 9 times (20*9 = 180 with 9 left over)
9 9/20