100 - 80 = 20
80 = 72
20 = ?
72 / 80 = 0.9
20 x 0.9 = 180
180 + 72 = 252
Answer:
17.11 meters
Step-by-step explanation:
You are using trigonometry in this problem.
The height of the flagpole represents the side <u><em>opposite</em></u> the given angle.
The base of the triangle is given as 19 meters and represents the side <u><em>adjacent</em></u> to the given angle.
Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.
Tan(angle) = opposite / adjacent
If we plug in what we know into that equation: <em>tan(42 degrees) = h / 19</em>
This means that <em>your answer = 19 * tan(42) = 17.11</em> meters
Answer:
B. -2
Step-by-step explanation:
2(x - 4) + 3x - x2
2(2 - 4) + 3(2) - (2)2
2(-2) + 6 - 4
-4 + 6 - 4
-8 + 6
-2
Answer:
503
Step-by-step explanation:
For an arithmetic sequence, the n-th term is found by

To find
(the common difference) we can simply subtract one of the terms by the last, for example:

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

We also have to know that
stands for the first term of the sequence, which in this case is 311.
Now that we know this, let's find the 32nd term

Good luck!