Sine (34) = opposite / 99
opposite side = .55919 * 99
opposite side =
<span>
<span>
<span>
55.35981
</span>
</span>
</span>
Adjacent side² = 99² - 55.35981²
Adjacent side² =
<span>
<span>
</span></span>
<span>
<span>
<span>
9,801
</span>
</span>
</span>
-<span><span><span>3,064.7085632361
</span>
</span>
</span>
<span><span><span>Adjacent side² =
6,736.29
</span>
</span>
</span>
Adjacent side =
<span>
<span>
<span>
82.0749
</span></span></span>
Answer:
Step-by-step explanation:
We look for where 
. The way you find the answer is first, find the point 
. Draw a line straight up and down, and see where that line intersects the function. Those intersection points are your answer(there will always be only 1 for a function, but if a graph isn't a function, there might be more than 1).
Using this method here, we see that 
intersects our line at 
, so .
Answer:
The probability that it would take more than four hours to construct a soapbox derby car = 0.1587 or 15.87
Step-by-step explanation:
Given -
Mean 
= 3 hours
Standard deviation 
= 1 hours
Let X be the no of hours to construct a soapbox derby car
the probability that it would take more than four hours to construct a soapbox derby car =
= 
= 
Put 
= 1 - 
= 1 - .8413 Using z table
= 0.1587
To get to simplest form find the greatest common factor, or the gcf, of both numbers. To do that find all of the factors and find the one with the highest value both numbers share. So 30 would have factors of 1, 2, 3, 5, 6, 10, 15, and 30, and 42 would have the factors of 1, 2, 3, 6, 7, 14, 21, and 42. Both numbers share the factors of 1, 2, 3, and 6 so the gcf is 6. Now divide both numbers by six to get your answer.
Answer: 5/7
