Answer:
72°
Step-by-step explanation:
Let the 2 equal angles be x then the third angle is x + 18
The sum of the 3 angles in a triangle = 180°, thus
x + x + x + 18 = 180, that is
3x + 18 = 180 ( subtract 18 from both sides )
3x = 162 ( divide both sides by 3 )
x = 54
Hence
the largest angle = x + 18 = 54 + 18 = 72°
Answer:
Step-by-step explanation:
3 Triangle
4 Quadrilateral
5 Pentagon
6 Hexagon
7 Heptagon
8 Octagon
9 Nonagon
10 Decagon
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:

We can rewrite this as:

Now we can add and subtract cos^2(x)*sin^2(x) to get:

We can complete squares to get:

and we know that:
cos^2(x) + sin^2(x) = 1
then:

This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:

Then the simplification is:

Answer:
1/3
Step-by-step explanation:
1/2 James' fraction of Michael
2/3 Trina's fraction of James
1/2 x 2/3 = 1/3
Answer:
r = 2.23
Step-by-step explanation:
Use the formula:
C = 2(pi)r
Solve for r:
r = C
/2π = 14
/2·π = 2.228