Answer: ![4004.76\ ft](https://tex.z-dn.net/?f=4004.76%5C%20ft)
Step-by-step explanation:
Given
inclination is ![\theta=75^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D75%5E%7B%5Ccirc%7D)
Mountain is
high
Cable is tied
from the base of the mountain
From the figure, length of the shortest path is ![l](https://tex.z-dn.net/?f=l)
It is given by using Pythagoras theorem
![\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft](https://tex.z-dn.net/?f=%5CRightarrow%20l%5E2%3D3900%5E2%2B910%5E2%5C%5C%5CRightarrow%20l%3D%5Csqrt%7B%283900%29%5E2%2B%28910%29%5E2%7D%5C%5C%5CRightarrow%20l%3D4004.76%5C%20ft)
3/8 times 8/3 = 1
Answer=8/3
Answer:
21
Step-by-step explanation:
3x3x3=27
27-6=21
Answer:
r = 6.4/(1+sin(θ))
Step-by-step explanation:
As the attachment shows, for the given directrix and eccentricity, the equation is ...
![r=\dfrac{ed}{1+e\sin{\theta}}\\\\r=\dfrac{1.6\cdot 4}{1+1.6\sin{\theta}}\\\\\boxed{r=\dfrac{6.4}{1+\sin{\theta}}}\qquad\text{matches the 2$^{\text{nd}}$ choice}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7Bed%7D%7B1%2Be%5Csin%7B%5Ctheta%7D%7D%5C%5C%5C%5Cr%3D%5Cdfrac%7B1.6%5Ccdot%204%7D%7B1%2B1.6%5Csin%7B%5Ctheta%7D%7D%5C%5C%5C%5C%5Cboxed%7Br%3D%5Cdfrac%7B6.4%7D%7B1%2B%5Csin%7B%5Ctheta%7D%7D%7D%5Cqquad%5Ctext%7Bmatches%20the%202%24%5E%7B%5Ctext%7Bnd%7D%7D%24%20choice%7D)
Answer:
4 out of 52 or simplified 2 out of 26
Step-by-step explanation:
There are 4 suites of cards, spades, hearts, clubs, diamonds and there is one card for two in each suite, so we therefore know that the probability of picking a two out of a 52 card deck will be four out of 52 or the simplified answer would be 2 out of 26. Hope this helps, have a great day!