I graphed the given points and used Pythagorean theorem to get the value of each side of the rhombus.
Each side of the rhombus served as the hypotenuse of the imaginary right triangle formed in the graph. The diagonals formed are mutually bisecting and have cut each diagonal in equal parts.
Pls. see attached graph.
Sum of an irrational number and a rational number is always irrational. Take for example 1/2 +
. Clearly, 1/2 is rational and its decimal expansion is equal to 0.5, while
is irrational and has a non-repeating, non-terminating decimal expansion. When you add the two, you are obviously going to get a non-repeating, non-terminating decimal expansion, hence the sum is irrational.
You have to find the cos of angle A, so use the Pythagorean equation and trig laws to find the other side of the triangle created by angle A. 3^2 + x^2 = 5^2. x=4. This means cos(A) = 4/5). Make both cos (A) and cos (B) have equal denominators, and add. 148/185 + 60/185 = 208/185. This answer is correct, though it doesn’t appear to be any of the answers you wrote, so either those answers are wrong or you wrote something incorrectly in the problem.
Answer:
C. 1/√2
Step-by-step explanation:
cos∅ is adjacent over hypotenuse:
cos45° = 1/√2
cos45° = √2/2
Alternatively, if you learned and memorized your unit circle, cos(π/2) = √2/2
