In a 30-60-90 triangle, the length of the long leg is 8. Find the length of the hypotenuse.
1 answer:
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Sense this is a 360 degree angle, it is divide by 2. This would then be considered 180. If you (noticed) on the other side, it shows us that . . .
We then do (180-19)
Sense this is a 360 degree angle, it is divide by 2. This would then be considered 180. If you (noticed) on the other side, it shows us that . . .
We then do (180-19)
Answer:
4.27%
Step-by-step explanation:
We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.
We will use z-score formula to solve our given problem.
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.
Now, we need to find .
Using formula , we will get:
Using normal distribution table, we will get:
Therefore, 4.27% of college students sleep for more than 9.6 hours.
Answer:
70.52 degrees
Step-by-step explanation:
To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that
XY = 5+4 = 9 CM
XZ = 6+5 = 11 CM
ZY = 4+6 = 10 CM
Now we can apply the cosine rule
We need to rearrange the rule to solve for x, our missing angle
solving for our unknown angle:
Therefore angle YXZ is 70.52 degrees
