Trigonometric area formula: Area = 1/2 ab sin (c)

Mathematics

2 answers:

Ostrovityanka [42]4 years ago

5 0

Answer:

Option B.

Step-by-step explanation:

Trigonometric area formula is Area = $\frac{1}{2}\times absin(C)$

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 = $\frac{1}{2}\times acsin(B)$

= $\frac{1}{2}\times acsin(B)$

= $\frac{1}{2}\times 6\times 2\sqrt{2}\times sin(80)$

= 6√2×sin80°

= 6×(1.414)×0.9848

= 8.36 square units

≈ 8.4 square units

Option B is the answer.

Ber [7]4 years ago

4 0

Answer:

its probably 8.5

Step-by-step explanation:

You might be interested in

The coordinates of the vertices of a quadrilateral are R(-1,3), S(3,3), T(5,-1), and U(-2,-1). Find the perimeter of the quadril

juin [17]

The distance between 2 points P(a,b) and Q(c,d) is given by the formula:

$|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2} }$

thus, the lengths of the sides of the quadrilateral can be calculated using the distance formula:

$|RS|= \sqrt{ (-1-3)^{2} + (3-3)^{2}}=\sqrt{ 16 + 0}=4$ units

$|ST|= \sqrt{ (3-5)^{2} + (3-(-1))^{2} }=\sqrt{ 4+16}=4.47$ units

$|TU|= \sqrt{ (5-(-2))^{2} + (-1-(-1))^{2} }=\sqrt{ 49 + 0}=7$ units

$|RU|= \sqrt{ (-1-(-2))^{2} + (3-(-1))^{2} }=\sqrt{ (1)^{2} + (4)^{2} }=4.12$ units

The perimeter of RSTU is 4+4.47+7+4.12=19.6

Answer: 19.6 units

6 0

3 years ago

Alan made $396 for 18 hours of work. At the same rate, how much would he make for 11 hours of work?

wel

Answer:

Step-by-step explanation:

I think it is helpful to set this up as a proportion as it is the easiest way in my opinion.

1st step: 396/18 and x/11

This is the way you set up the proportion.

2nd Step: You would have to multiply 396 and 11 then divide the value by 18.

396x11 = 4,356

4,356/18 = 242