Answer:
See explanation
Step-by-step explanation:
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
Answer:
The answer is 1/x-3
Step-by-step explanation:
2/x−3+3/x+2−(4x−7/x2−x−6)
=x+2/x²−x−6
=x+2/(x+2)(x−3)
=1/x−3
Answer/Step-by-step explanation:
a. % of people who smoke = no. of people who smoke ÷ total no. of people surveyed × 100
Total no. of people who smoke is given = 4 + 36 = 40
Total people surveyed = 200
% of people who smoke = ![\frac{40}{200}*100 = \frac{40}{2}*1 = 20 percent](https://tex.z-dn.net/?f=%20%5Cfrac%7B40%7D%7B200%7D%2A100%20%3D%20%5Cfrac%7B40%7D%7B2%7D%2A1%20%3D%2020%20percent%20)
a. % of people who do not exercise regularly = no. of people who do not exercise regularly ÷ total no. of people surveyed × 100
Total no. of people who do not exercise regularly = 36 + 134 = 170
Total people surveyed = 200
% of people who smoke = ![\frac{170}{200}*100 = \frac{170}{2}*1 = 85percent](https://tex.z-dn.net/?f=%20%5Cfrac%7B170%7D%7B200%7D%2A100%20%3D%20%5Cfrac%7B170%7D%7B2%7D%2A1%20%3D%2085percent%20)
Answer:
Slope is -3, y-intercept is 30
Step-by-step explanation:
You take the two points (11,-3) and (7,9), plug them into the formula y2-y1/x2-x2=m. Now, you have 9-(-3)/7-11 which gives you 12/-4, 12/-4 can be simplified into -3 which is your slope. To find y-intercept you must use the formula y=mx+b. Plug -3, your slope, into m, and any of the coordinates on your line into the y and x; I used (7,9). You solve for b from 9=-3*7+b. -3*7 gives you -21, now you have 9=-21+b, to get b by itself, you add 21 to both sides, 30=b. B is your y-intercept.
The answer is Terminating