Answer:
<I= 15degrees
Step-by-step explanation:
Using the cosine rule formulae;
j² = i²+k²-2i cos <J
j² = 37²+57² - 2(37)(57)cos <141
j² = 1369+ 3249- 4218cos <141
j² = 4618- 4218cos <141
j² = 4618-(-3,278)
j²= 7,896
j = √7,896
j = 88.86inches
Next is to get <I
i² = j²+k²-2jk cos <I
37² = 88.86²+57² - 2(88.86)(57)cos <I
1369 = 7,896.0996+ 3249- 10,130.04cos <I
1369 = 11,145.0996 - 10,130.04cos <I
1369 - 11,145.0996 = - 10,130.04cos <I
-9,776.0996=- 10,130.04cos <I
cos <I =9,776.0996 /10,130.04
cos<I = 0.96506
<I = 15.19
<I= 15degrees
30 should be the correct answer
Solve for y. Do that by adding the opposite of the x-term, then dividing by the coefficient of y.
11y = 12x - 8
y = (12/11)x - 8/11
The slope is 12/11.
The y-intercept is -8/11.
Answer:
10%
Step-by-step explanation:
Given:
Total number of racers = 270
Number of racers completed the race = 243
Number of racers gave up = 20
Now,
The number of racers who did not complete the race
= Total number of racers - Number of racers completed the race
= 270 - 243
= 27
Therefore,
The percentage of racers who did not complete the race
=
=
= 10%