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).
Answer:
Step-by-step explanation:
let : x and t this numbers : x +y = -81/4
y == -52/3
x + (-52/3) = -81/4
x = -81/4 + 52/3........continue
The percentage change in G is 21 %
<h3>What is Percentage change ?</h3>
Percentage change is defined as the increase or decrease in the value as compared to the original value multiplied by 100.
It is given that
G = ab
when a is increased by 10% the new a will be = 1.1 a
When b is increased by 10% the new b will be 1.1 b
So,
G' = 1.1a *1.1 b
G' = 1.21 ab
G' = 1.21
(G' - G)*100/G = (1.21-1)*100/1
The percentage change is 21 %
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Step-by-step explanation: it helps more then here
A certificate of deposit earns 1% interest every three months. The interest is compounded.
What is the value of a $35,000 investment after 6 years?
$37,153.21
$39,438.88
$44,440.71
$56,295.30
A. 37,153.21
