Answer:
2236.77 feets
Step-by-step explanation:
From the attached picture, we are to find x, which is the vertical depth of the submarine.
Using trigonometry based on the illustration in the diagram:
Sinθ = opposite / hypotenus
Sinθ = x (depth of submarine) / distance from ship (4000)
Hence,
Sinθ = x / 4000
θ = 34°
Sin34 = x / 4000
0.5591929 * 4000 = x
2236.7716 = x
Hence, depth of submarine = 2236.77 feets
![\bf \cfrac{dx}{dt}=\cfrac{5}{t}\quad ,\quad x(0)=7\to \begin{cases} f(t)=0\\ t=7 \end{cases}\\\\ -----------------------------\\\\ \displaystyle \int \cfrac{5}{t}\cdot dt\implies 5\int \cfrac{1}{t}\cdot dt\implies 5ln|t|+C= f(t) \\\\\\ \textit{now, we know when f(t)=0, t=7}\implies 5ln|7|+C=0 \\\\\\ C=-5ln(7) \\\\\\ thus\implies \boxed{5ln|t|-5ln(7)=f(t)=x}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Bdx%7D%7Bdt%7D%3D%5Ccfrac%7B5%7D%7Bt%7D%5Cquad%20%2C%5Cquad%20x%280%29%3D7%5Cto%20%0A%5Cbegin%7Bcases%7D%0Af%28t%29%3D0%5C%5C%0At%3D7%0A%5Cend%7Bcases%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0A%5Cdisplaystyle%20%5Cint%20%5Ccfrac%7B5%7D%7Bt%7D%5Ccdot%20dt%5Cimplies%205%5Cint%20%5Ccfrac%7B1%7D%7Bt%7D%5Ccdot%20dt%5Cimplies%205ln%7Ct%7C%2BC%3D%20f%28t%29%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Bnow%2C%20we%20know%20when%20f%28t%29%3D0%2C%20t%3D7%7D%5Cimplies%205ln%7C7%7C%2BC%3D0%0A%5C%5C%5C%5C%5C%5C%0AC%3D-5ln%287%29%0A%5C%5C%5C%5C%5C%5C%0Athus%5Cimplies%20%5Cboxed%7B5ln%7Ct%7C-5ln%287%29%3Df%28t%29%3Dx%7D)
notice |7| 7 is positive, so we can simply remove the bars and use 7 by itself
Answer:
20 : 16
or if you have to reduce then the answer is 5 : 4
Step-by-step explanation:
It's the1st: 4 cm/10 cm because:
4/10 = 2/5 . and because they have the SAME UNIT (cm)
what are the coordinates if you tell me that I can help you