Answer:
Step-by-step explanation:
We have to fill the blank.
The number of permutations of n elements taken r at a time is given by the formula:
Permutation is an arrangement of subsets of a larger set in regard with order of the arrangement.
where n is the the larger set and we have to choose r items from n such that there is no repetition.
In permutation, order is important.
Answer:
Step-by-step explanation:
Cosine is the name of a function of an angle, not a triangle. We have drawn a triangle containing an angle (α) whose cosine is 0.63.
The cosine is the ratio of the adjacent leg of a right triangle to the hypotenuse, where "adjacent" refers to the angle of interest. In our triangle, we have ensured the cosine is 0.63 by making the adjacent leg be 63 and the hypotenuse be 100.
The length of the opposite leg can be found from the Pythagorean theorem.
opp = √(100² -63²) = √6031
The sine function is the ratio of that to the hypotenuse:
sin(α) = (√6031)/100 ≈ 0.776595
The tangent function is the ratio of opposite to adjacent sides:
tan(α) = (√6031)/63 ≈ 1.23269
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The secant is the inverse of the cosine:
sec(α) = 1/0.63 ≈ 1.58730
The cosecant is the inverse of the sine:
csc(α) = (100√6031)/6031 ≈ 1.28767
and the cotangent is the inverse of the tangen:
cot(α) = (63√6031)/6031 ≈ 0.811234
Answer:
D
Step-by-step explanation:
6x + c = k ( isolate the term in x by subtracting c from both sides )
6x = k - c ( isolate x by dividing both sides by 6 )
x =
Answer:
The answer is
<h2>Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question the point is (−1,75) and slope 6/19 is
We have the final answer as
Hope this helps you