Answer:
0.79432823472
Step-by-step explanation:
check the picture below.
![\bf tan(22^o)=\cfrac{x}{80}\implies \boxed{80tan(22^o)=x} \\\\[-0.35em] ~\dotfill\\\\ tan(43.5^o)=\cfrac{y+x}{80}\implies 80tan(43.5^o)=y+x\implies 80tan(43.5^o)-x=y \\\\\\ 80tan(43.5^o)-80tan(22^o)=y\implies 43.59506727037783689501 \approx y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{rounded~up}{44=y}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20tan%2822%5Eo%29%3D%5Ccfrac%7Bx%7D%7B80%7D%5Cimplies%20%5Cboxed%7B80tan%2822%5Eo%29%3Dx%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill%5C%5C%5C%5C%0Atan%2843.5%5Eo%29%3D%5Ccfrac%7By%2Bx%7D%7B80%7D%5Cimplies%2080tan%2843.5%5Eo%29%3Dy%2Bx%5Cimplies%2080tan%2843.5%5Eo%29-x%3Dy%0A%5C%5C%5C%5C%5C%5C%0A80tan%2843.5%5Eo%29-80tan%2822%5Eo%29%3Dy%5Cimplies%2043.59506727037783689501%20%5Capprox%20y%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A~%5Chfill%20%5Cstackrel%7Brounded~up%7D%7B44%3Dy%7D~%5Chfill)
make sure your calculator is in Degree mode.
Answer: a) y = - 3/2 x + 7/2
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
m = (y2 - y1)/(x2 - x1)
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (3, - 1) and (- 1, 5),
y2 = 5
y1 = -1
x2 = - 1
x1 = 3
Slope,m = (5 - - 1)/(- 1 - 3) = 6/- 4 =
- 3/2
To determine the y intercept, we would substitute x = 3, y = - 1 and m= - 3/2 into y = mx + c. It becomes
- 1 = - 3/2 × 3 + c
- 1 = - 9/2 + c
c = - 1 + 9/2
c = 7/2
The equation becomes
y = - 3x/2 + 7/2
Answer: 15 months
Step-by-step explanation:
Her balance after paying the registration fee is $300. Then we need to divide this remaining money into as many chunks (months )of $20. So we do 300/20 = 15 months
Answer:
0
Step-by-step explanation:
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