Determine the number of possible solutions for a triangle with A = 57, a = 11, and b = 19.

0

Step-by-step explanation:

Using the sine rule:

We substitute the values to get:

We simplify to get:

But we know that the range of the sine function is [-1,1].

This means that, it is not possible to form a triangle with the given measures;

step-by-step explanation:

bob the banana

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places