luvpeaceandsocc3678
05.05.2020 •
Mathematics
Consider rectangle ABCD with diagonals BD and AC intersecting at E.
Rectangle A B C D has diagonals B D and A C that intersect at the center of the rectangle at point E. Angles B C E is 52 degrees, angle C B E is 52 degrees, angle D E A is 104 degrees, and angle B E A is 76 degrees.
Which is true about the angle relationships in the rectangle? Check all that apply.
AngleBEA and AngleCED are vertical angles and equal 76°.
AngleABE and AngleCBE are complementary angles.
AngleBEC and AngleCED are vertical angles.
AngleBEA and AngleAED are supplementary angles whose sum is 180°.
AngleBEC and AngleAED are adjacent angles.
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Ответ:
If sin(theta) = 4/5, what is the value of cos(theta) in quadrant 1?
sin^2(theta) + cos^2(theta) = 1
(4/5)^2 + cos^2(theta) = 1
16/25 + cos^2(theta) = 1
cos^2(theta) = 1 - 16/25
cos^2(theta) = 25/25 - 16/25
cos^2(theta) = (25 - 16)25
cos^2(theta) = 9/25
cos(theta) = sqrt(9/25) ... we are in quadrant I, so cos(theta) > 0
cos(theta) = 3/5
Step-by-step explanation:
Hope it is helpful...