For the first one we will use the Law of Sines. First off, though, we need to find angle C's measure. By the Triangle Angle-Sum Theorem, the angles of a triangle all add up to equal 180. Therefore, angle C is 180-15-20 which is 145 degrees. Now we will set up the Law of Sines ratios.

. Solving for BC, we have

and on our calculators we find that BC is 4.5, last choice above. For the second one, the sin ratio is the side opposite the reference angle over the hypotenuse. The cos ratio is the side adjacent to the reference angle over the hypotenuse. The side opposite angle R is r, and the hypotenuse is q, so the sin R = r/q. For the cos P, the side adjacent to angle P is r, and the hypotenuse is q, so the cos P = r/q. Obviously, those 2 ratios are the same, so your choice is the very first one given.
Answer:
83 students
Step-by-step explanation:
You divide 1,245 and 15 which will give you 83.
9.42 Units
Step-by-step explanation:
Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:
270/360; 360 being the total angle measurement of a circle
270/360 simplifies to 3/4
The fraction represents how much of the circle that arc covers
Now we have to find the circumference which would be
2(3.14)r
r = 2 therefore: 2(3.14)2 = 12.56
Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length
Which gives us 9.42
Well, the place is charging him 115/hr
and he's booked it for 6hrs
how much is going to be his cost? well

now, there will be 14 teams playing, so... if we divide 690 evenly among the 14 teams, that means each team will need to pay 690/14 about 49.28571 or 49 bucks and 29 cents about
now, if each team pays that much, they'll cover 690, so Dylan has his cost covered, however, for a profit, a profit is surplus, so, in order to make surplus income, or profit, he'll need to charge "more than" 49.29
or he needs to charge "x", whilst x > 49.29
To write 1/12 as a decimal you would do 1 divided by 12. 1 goes into 12 0 times, giving you a 0 in the ones place. You would the do 120 divided by 12, giving you 10. Therefore, 1/12 as a decimal is 0.10, simplified to 0.1