Evaluate the function requested. Write your answer as a fraction in lowest terms. Find tan A.
1 answer:
For the given triangle, the tan of angle A equals C. .
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 15 units, the adjacent side has a length of 36 units while the hypotenuse of the triangle measures 39 units. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.
cos A = .
Step 2; The opposite side's length = 15 units,
The adjacent side's length = 36 units.
cos A = , dividing the numerator and the denominator by 3, we get
cos A = , which is option C.
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Answer:
y = -1/10x^2 +2.5
Step-by-step explanation:
The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:
-1 -4 = -5
So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).
The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...
y = (1/(4p))(x -h) +k
y = -1/10x^2 +2.5
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You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.
