We can use the tangent function to find the value of angle C.
tan ∠C = 29/38
tan ∠C = <span>0.76315789473
Now we will do inverse of tangent on both sides.
</span>∠C ≈ 37°
<span>
Hope this helps :)</span>
Answer:
Step-by-step explanation:
Given
Particle moves from
speed of particle is ![v=9\ cm/s](https://tex.z-dn.net/?f=v%3D9%5C%20cm%2Fs)
Unit vector in the direction of vector
is given by
![\hat{n}=\frac{\vec{Q}-\vec{P}}{|\vec{Q}-\vec{P}|}](https://tex.z-dn.net/?f=%5Chat%7Bn%7D%3D%5Cfrac%7B%5Cvec%7BQ%7D-%5Cvec%7BP%7D%7D%7B%7C%5Cvec%7BQ%7D-%5Cvec%7BP%7D%7C%7D)
![\hat{n}=\frac{-}{\sqrt{(-1)^2+(-5)^2+(5)^2}}](https://tex.z-dn.net/?f=%5Chat%7Bn%7D%3D%5Cfrac%7B%3C-5%2C-1%2C3%3E-%3C-6%2C-6%2C8%3E%7D%7B%5Csqrt%7B%28-1%29%5E2%2B%28-5%29%5E2%2B%285%29%5E2%7D%7D)
![\hat{n}=\frac{}{\sqrt{1+25+25}}](https://tex.z-dn.net/?f=%5Chat%7Bn%7D%3D%5Cfrac%7B%3C-1%2C-5%2C5%3E%7D%7B%5Csqrt%7B1%2B25%2B25%7D%7D)
Now Position of Particle at any time is given by
![\vec{r(t)}=velocity\cdot time\cdot direction](https://tex.z-dn.net/?f=%5Cvec%7Br%28t%29%7D%3Dvelocity%5Ccdot%20time%5Ccdot%20direction)
![\vec{r(t)}=9\cdot t\cdot \frac{}{\sqrt{1+25+25}}](https://tex.z-dn.net/?f=%5Cvec%7Br%28t%29%7D%3D9%5Ccdot%20t%5Ccdot%20%5Cfrac%7B%3C-1%2C-5%2C5%3E%7D%7B%5Csqrt%7B1%2B25%2B25%7D%7D)
Parametric vector equation is given by
![x=\frac{-9t}{\sqrt{51}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-9t%7D%7B%5Csqrt%7B51%7D%7D)
![y=\frac{-45t}{\sqrt{51}}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-45t%7D%7B%5Csqrt%7B51%7D%7D)
![z=\frac{45t}{\sqrt{51}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B45t%7D%7B%5Csqrt%7B51%7D%7D)
You have to write more for me to solve the question
Answer:
5000
Step-by-step explanation:
Given the question :
The size of debt after m months is respresented by the expression :
36,700 - (5000 + 500m)
Since Michael has decided to dedicate the entirety of his signing bonus towards paying his debt, then that is a constant and one-off payment.
Also, a fixed portion of his salary each month has also been assigned towards paying off his debt,
Then the amount paid from his salary after a certain number of months will be:
Fixed amount × number of months = 500 × m
Amount paid using signing bonus will be a constant = 5000
Total debt amount = 36,700
Size of debt left after m months :
Total debt - ( signing bonus - fixed amount × m)
Hence signing bonus = 5000
Answer:
The first one (90, 90) is supplimentary, the next two (54, 36. and 45, 45) are complimentary, and the last two are supplimentary.
Step-by-step explanation:
A complimentary angle is two angles that add up to 90, and supplimentary is two angles that add up to 180! :)