Answer:
Step-by-step explanation:
In problems like this, it always helps to draw a picture.
-> See attached for the picture I drew (<em>not to scale</em>)
Now, the trigonometric function tangent can be found with opposite / adjacent
When looking at ∠D, the opposite side if 48 and the adjacent side is 55.
O / A = 48 / 55
Answer:
Step-by-step explanation:
By definition, the absolute error is defined as:
Where:
: is the error
: is the approximate value
: is the exact value
In this problem the approximate value was 100 and the exact value was 75. Then we substitute these values in the formula to find the error.
Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²
