Which is an expression for the area of △ABC?

9514 1404 393

  (C)

Step-by-step explanation:

The law of sines tells you ...

  AB/sin(C) = AC/sin(B)

  AB = AC·sin(C)/sin(B)

The area of the triangle in terms of sides and angles is ...

  Area = (1/2)AB·AC·sin(A)

Using the above expression for AB and filling in values, we get ...

  Area = (1/2)AC·sin(C)/sin(B)·AC·sin(A)

  Area = 15·sin(67°)/(2·sin(65°))·15·sin(48°) . . . . . . matches choice C

option C is the answer

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.