Step-by-step explanation:
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Answer:
16.4 feet.
Step-by-step explanation:
We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle
, is 1.42. We are asked to find the length of the side opposite angle
.
We can represent our given information in an equation as:

Now, we will use arctan to solve for theta as:


Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.







Therefore, the opposite side to angle theta is 16.4 feet.
When you derive a function from another using the transformation

you're translating the graph of the parent function f(x) horizontally.
More specifically, you translate the graph k units to the left if k is positive, k units to the right if k in negative.
So, starting from the graph of f(x), you have that the graph of

is the same graph of f(x), but shifted 3 units to the left.
200 x 4 =. 800 + remainder 3 = to 803 803 divided by 4 = 200.75
1st way- 3^2 * 3^3
2nd way- 3 * 3^4
3rd way- 3^0 * 3^5