Trigonometric area formula: area = 1/2 ab sin (c)what is the area of abc? round to the nearest tenth of a square unit. a) 3.9 square unitsb) 8.4 square unitsc) 11.8 square unitsd) 17.7 square units

Option B.

Step-by-step explanation:

Trigonometric area formula is Area =

Where a and b are two sides of the triangle and C is the angle between these two sides.

As given in the figure, side a = 6 units, c = 2√2 units and ∠B = 80°

Then area of the triangle will be defined by the formula

Area =

        =

        =

        = 6√2×sin80°

        = 6×(1.414)×0.9848

        = 8.36 square units

        ≈ 8.4 square units

Option B is the answer.

29.5977692753

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!