We are given with the point (5,-4) where x is 5 and y is equal to -4. in this case, we can get the six trigonometric identities from this data. the hypotenuse is equal to sqrt 41 accrdg to pythagorean theorem.
cos theta = 5/ <span>sqrt 41
</span>csc theta = -<span>sqrt 41/ 4
</span>tan theta = -4/5
Answer:
19 weeks
Step-by-step explanation:
Given equation:
P = w
Where,
w = the number of weeks he has taken piano lessons
p = the total number of pieces he has learned
how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?
Find w when p = 19
P = w
p = 19
Since P = w
19 = w
Therefore,
w = 19
Lamar need 19 weeks before he will be able to play a total of 19 pieces
The equation of the line which passes through the point (-5, 3) and is parallel to the equation 3x -5y = 30 is; 3x -5y = 30.
<h3>What is the equation of the line?</h3>
Since the line is parallel to the given line; 3x -5y = 30 whose slope is; 3/5.
Hence, since the two lines have equal slopes;
3/5 = (y-3)/(x-(-5))
3/5 = (y-3)/(x+5)
5y -15 = 3x +15
3x -5y = 30
Read more on equation of a line;
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Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.
Answer:
Transversal and Consecutive