Sine theorem:
a/sin A=b/sin B=c/sin C
Data:
A=33º
a=19
b=14
19/ sin 33º=14 / sin B
sin B=(sin 33º *14) / 19
sin B=0.41312...;
B=arcsin 0.41312...=23.66º
A+B+C=180º
33º+23.66º+C=180º
C=180º-33º-23.66º
C=123.34º
a/Sin A=c/sin C
19 / sin 33º=c / sin 123.34º
c=(19 * sin 123.34º) / sin 33º
c=29.14
Answer: a=19; b=14, c=29.14; A=33º; B=23.66º; C=123.34º
The system of equations that represent the situation are as follows;
According to the question;
- Mary was trying to rent a boat and wanted to get the best plan.
For Plan A:
- Rental plan A charges a fee of
- $50 plus $25 per hour.
For Plan B:
- Plan B charges a fee of $10 plus $35 per hour.
Read more on rental charges;
brainly.com/question/1503197
Answer: -31
<u>Step-by-step explanation:</u>
f(x) = -x⁴ + 3x³ + x² - 8x - 16
f(3) = -(3)⁴ + 3(3)³ + (3)² - 8(3) - 16
= -81 + 81 + 9 - 24 - 16
= -31
8 5/6, 8.839, 177/20, 8.99