Answer:
cos(45°) = (√2)/2
Step-by-step explanation:
The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...
x^2 +x^2 = 1
x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator
x = √(2/4) . . . . . . take the square root
x = (√2)/2 . . . . . simplify
The cosine of 45° is (√2)/2.
8 + -3 * 2m + (-3)(-5) = 8 + -6m + 15 = 8 + -6m + 15 = (-6m) + (8 + 15 ) = -6m + 23
so the answer is -6m + 23
The US Senate is composed of 2 Senators from each of the 50 states to give a total of 100 people in the Senate.
First seperate the irregular shape into 2 regular shapes, by splitting the yellow part down the middle horizontally we get 2 obtuse triangles. Then we just need to find the area of both, to do this we just need base and height, this is 24 in base 15 in height
the area of each half is 180 square inches
180 + 180 = 360
the answer is A 360 square inches
