There are 9 marbles in total in the bag. Since there are 3 red marbles the probability of drawing out a red marble is 3/9 which can be simplified to 1/3
#3 sin(x) = -sqrt(2)/2 so x = 315 degrees. So we have sin(x+pi/3) = sin(375) = sin(15) which in exact form would be (sqrt(3) -1)/(2sqrt(2))
#4 to find x we take the arctan(20/21) which is approximately 43.6 degrees and add 180 to it since it's in the 3rd quadrant which is 223.6 degrees so we do sin(223.6 + 90) = sin(313.6) which equals -21/29. This can also be done with the pythagorean theorem. -21/29.
#5 13^2 - 5^2 = 12^2. so sin is -12/-13 = 12/13. we take arcsin of that and add 180 and then divide by 2 and take the sin of that and its approximately 3/sqrt(13).
#6 sin is 4/5 so we take arcsin of that and get 143.13 which -60 is 83.13 and we take the sin of that to get 3/10 + 2sqrt(3)/5
Hope this helped :L
<h3>
Answer: 4</h3>
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Work Shown:
f(x) = |x+1|
f(-5) = |-5+1| .... x is replaced with -5
f(-5) = |-4|
f(-5) = 4
Answer: C) 12.2
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Explanation:
We have a known adjacent side (10) and an unknown hypotenuse (x). The cosine rule ties the two sides together.
cos(angle) = adjacent/hypotenuse
cos(35) = 10/x
x*cos(35) = 10
x = 10/cos(35)
x = 12.2077458876146 approximately
x = 12.2
Make sure your calculator is in degree mode.
1.02 = 1 + 0.02
n is 4 you can tell by the 4t = nt exponent
0.02 * 4 = 0.08 interest rate as decimal
B. 8% interest
A. 4th down from top
