A system of equations is shown below. Which ordered pair represents the solution to the system
1 answer:
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First find the distance by multiplying 55mi/hr × 1.75 hrs= 96.25mi
Next find the time while traveling at 70mph using this distance. 70 miles/hr = 1hr/70 miles, so multiply 1hr/70mi x 96.25 mi= 1.38 hours
Next find the time while traveling at 70mph using this distance. 70 miles/hr = 1hr/70 miles, so multiply 1hr/70mi x 96.25 mi= 1.38 hours
Here, 3m is a scalar that we use to multiply each element of the matrix.
We have
![3m \left[\begin{array}{cc}-5m&2m\\6m&6n\end{array}\right]](https://tex.z-dn.net/?f=%20%203m%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-5m%262m%5C%5C6m%266n%5Cend%7Barray%7D%5Cright%5D%20)
.
We get
![\left[\begin{array}{cc}(3m)(-5m)&(3m)(2m)\\(3m)(6m)&(3m)(6n)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%283m%29%28-5m%29%26%283m%29%282m%29%5C%5C%283m%29%286m%29%26%283m%29%286n%29%5Cend%7Barray%7D%5Cright%5D%20)
which simplifies to
![\left[\begin{array}{cc}-15m^2&6m^2\\18m^2&18mn\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-15m%5E2%266m%5E2%5C%5C18m%5E2%2618mn%5Cend%7Barray%7D%5Cright%5D%20)
We have
We get
which simplifies to
Answer:
the height of the building is approximately 134 yards
Step-by-step explanation:
Recall that i order to use the arc-length formula:
we know the radius R, but the angle must be given in radians. Then we convert
to radians, and then use 1700 yards as the radius in the formula.
Therefore, the arc length formula would render:
which rounded to the nearest yard becomes: 134 yards