What is the area of the trapezoid? leave the answer in simplest radical form.

For this case we must find the area of the figure composed of a triangle and a rectangle.

Triangle area:

Where b is the base and h is the height.

Area of the rectangle:

Where a and b are the sides.

The base of the triangle measures:

We find the height by trigonometry:

So:

On the other hand:

Thus, the total are the sum:

Option A

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step-by-step explanation:

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a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.