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).
Supplementary angles add up to 180 degrees-
Let x = "the angle"
supplement angle = 2x + 12 // 12 more than twice the measurement of "the angle"
Supplement angle + "the angle" = 180 degrees
(2x + 12) + x = 180 degrees // 2x + 12 is the supplement angle
3x + 12 = 180 // Simplify
3x = 168 // Subtract 12 from both sides
x = 56 degrees // Divide both sides by 3
The measure of the angle is 56° and its supplement is 124°
So remember that the distance formula is 
.
1.
Distance between (4,-5) and (4,-2) is 3 units.
2.
Distance between (1,1) and (-1,4) is √13 (or 3.61 rounded to the hundreths) units.
The perimeter of a triangle is the sum of all its side lengths
11.3 + 14.7 + x < 44
Combine like terms
26 + x < 44
Subtract 26 from both sides.
x < 18
Answer:
y-intercept : -7
x-intercept : 7/5
Step-by-step explanation:
<em>FOR</em><em> </em><em>Y</em><em> </em><em>intercept</em><em> </em><em>put</em><em> </em><em>x</em><em> </em><em>=</em><em>0</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>equation</em>
<em>FOR</em><em> </em><em>x</em><em> </em><em>intercept</em><em> </em><em>put</em><em> </em><em>y</em><em>=</em><em>0</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>equa</em><em>tion</em><em>!</em>
<em> </em><em>✌️</em><em>;</em><em>)</em>
