Median means middle so put all the numbers in order (which they are) and pick the middle number
Answer: I was going to say rotate the line about the origin but then i got confused on the one coordinate -4
Step-by-step explanation:
The second term of the arithmetic sequence is:
a₂= -9
<h3>
How to find the second term in the sequence?</h3>
Here we have an arithmetic sequence, such the the recursive formula is:
aₙ = aₙ₋₁ + 4
So to get each term, we need to add 4 to the previous one.
We know that the first term is:
a₁ = -13
Then the second term will be:
a₂ = a₁ + 4 = -13 + 4 = -9
Learn more about arithmetic sequences:
brainly.com/question/6561461
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Answer:
Option A.
Step-by-step explanation:
Distance between Bob and the center of the mountain at the base = 19,427.5 ft.
Angle of elevation to the top of the mountain = 25°11'
We know that
1 degree = 60 minutes
1/60 degree = 1 minute
![25^{\circ}11'=25^{\circ}+\frac{11}{60}{\circ}\Rightarrow 25^{\circ}+0.183^{\circ}=25.183^{\circ}](https://tex.z-dn.net/?f=25%5E%7B%5Ccirc%7D11%27%3D25%5E%7B%5Ccirc%7D%2B%5Cfrac%7B11%7D%7B60%7D%7B%5Ccirc%7D%5CRightarrow%2025%5E%7B%5Ccirc%7D%2B0.183%5E%7B%5Ccirc%7D%3D25.183%5E%7B%5Ccirc%7D)
Let the height of the mountain be h.
In a right angled triangle
![\tan\theta = \frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D)
![\tan(25.183^{\circ}) = \frac{h}{19427.5}](https://tex.z-dn.net/?f=%5Ctan%2825.183%5E%7B%5Ccirc%7D%29%20%3D%20%5Cfrac%7Bh%7D%7B19427.5%7D)
![\tan(25.183^{\circ})\times 19427.5 = h](https://tex.z-dn.net/?f=%5Ctan%2825.183%5E%7B%5Ccirc%7D%29%5Ctimes%2019427.5%20%3D%20h)
![h=0.4702\times 19427.5](https://tex.z-dn.net/?f=h%3D0.4702%5Ctimes%2019427.5)
![h=9134.8105](https://tex.z-dn.net/?f=h%3D9134.8105)
![h\approx 9135](https://tex.z-dn.net/?f=h%5Capprox%209135)
Therefore, the height of the mountain to the nearest foot 9135. Option A is correct.