Clearly, the general for the
(Aside: given the simple pattern, it's curious why the terms would be given the way they are. It's easier to divine
The sequence does not converge. As
6 pizza toppings to choose from. How many different 3-topping pizzas are possible?
1 answer:
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Clearly, the general for the
(Aside: given the simple pattern, it's curious why the terms would be given the way they are. It's easier to divine
The sequence does not converge. As
Answer:
A) Non-collinear- does not lies on straight line
B) Collinear- lie on straight line
Step-by-step explanation:
We have to check collinearity of three points.
The points are said to be collinear if,
A) A(2, 5, 3), B(3, 7, 1), C(1, 4, 4)
Thus, the given points are not collinear.
B) D(0,-5,5), E(1,-2,4), F(3,4,2)
Thus, the given points are collinear.
Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
