Answer:
229.2
Step-by-step explanation:
Remark
There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.
The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.
So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.
Formula
Just as you have it
Sin(20) = x / 670
Solution
Multiply both sides by 570
670 * sin(20) = x
sin(20) = 0.3420
x = 670 * 0.3420
x = 229.2
X miles per hour - <span> speed of the boat in still water
(x - 2) - speed up the river
(x + 2) - speed down the river
</span>
=
30 * (x + 2) = 38 * (x - 2)
30x + 60 = 38x - 76
- 8x = - 136
x =
17 miles per hour - <span>
the speed of the boat in still water.</span>
Answer:
Question 18
=$3.33
Step-by-step explanation:
i)
26/100 x 4.5
=1.17
(the discount price)
ii)
$4.5-$1.17
=$3.33