Let’s find some exact values using some well-known triangles. Then we’ll use these exact values to answer the above challenges.
sin 45<span>°: </span>You may recall that an isosceles right triangle with sides of 1 and with hypotenuse of square root of 2 will give you the sine of 45 degrees as half the square root of 2.
sin 30° and sin 60<span>°: </span>An equilateral triangle has all angles measuring 60 degrees and all three sides are equal. For convenience, we choose each side to be length 2. When you bisect an angle, you get 30 degrees and the side opposite is 1/2 of 2, which gives you 1. Using that right triangle, you get exact answers for sine of 30°, and sin 60° which are 1/2 and the square root of 3 over 2 respectively.
Now using the formula for the sine of the sum of 2 angles,
sin(A + B) = sin A cos<span> B</span> + cos A sin B,
we can find the sine of (45° + 30°) to give sine of 75 degrees.
We now find the sine of 36°, by first finding the cos of 36°.
<span>The cosine of 36 degrees can be calculated by using a pentagon.</span>
<span>that is as much as i know about that.</span>
After a series of calculations, I found out that the interest he has to pay in total would be <span>$117,484.77.
You might use my answer in reviewing by using your solution also.
I hope my answer has come to your help. God bless and have a nice day ahead!
</span>
Answer:
0.03125
Step-by-step explanation:
If we have a fair coin the probability of landing a head is 50%.
We can think the question as what is the probability of landing four tails and then a head. That is we needed at least 5 tries to get a head.
Since this events are independent we can write it as
He should choose the second option because he will be paid more money, with the percentage he expects.
Hope this helps!
D: (-inf, +inf)
R: [0, +inf)
That equation is the parent function of the absolute value function. To find domain, move from left to right. Look at the x-values and where the graph goes. To find range, move from bottom to top and look at the y-values. I recommend using a stick/pencil and moving it along the graph.
