Answer:
40
Step-by-step explanation:
Going from left to right
We need to find the angle from the first triangle
The sum of the angles of a triangle is 180
80+25+x = 180
Combine like terms
105+ x = 180
Subtract 105 from each side
105-105+x = 180-105
x = 75
Then we have 3 angles that make a straight line and a straight line is 180
x + 50 + y = 180
75+ 50 + y = 180
Combine like terms
125 + y = 180
Subtract 125 from each side
125-125+y = 180-125
y = 55
We now have the triangle on the right
The angles add to 180
55+85+ ? = 180
Combine like terms
140+ ? = 180
Subtract 140 from each side
140+? - 140 = 180-140
? = 40
Answer:
268,435,456
Step-by-step explanation:
Multiply by -4
Answer: sqrt(2)/2 which is choice D
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Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
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Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
Hope this helps!
Stay safe, have a good day :D
Answer:
d
Step-by-step explanation:
because its a whole number as in the square root is 4