To find x:
use the formula: tan° = opposite/adjacent
tan 61° = x/10
answer: 18.0
other length:
use the formula: cos° = adjacent/hypo
cos 61° = 10/y
answer: 20.6
First we find the slope between the two given points.
m = (y2 - y1)/(x2 - x1) = (-5 - 2)/(7 - 6) = -7/1 = -7
Now we use the slope-intercept equation of a line.
y = mx + b
We use one point as x and y, and we solve for b.
2 = -7(6) + b
2 = -42 + b
b = 44
The equation is
y = -7x + 44
Answer: f(x) = -7x + 44
1/6 of a yard is 6 inches. 1/3 of a yard is 12 inches. 5 × 6 = 30. 12 + 30 = 42. 42 ÷ 6 = 7. The student will need to cut 7 pieces of wallpaper.
The radius is half of the diameter, and half of 9 is 4.5. That is your answer. Hope this helps! Have a nice night.
