Answer:
C
Step-by-step explanation:
Take a careful look at a(n) = 6(-8)^(n-1).
The first term is 6. This is the result if we let n = 1; 6(-8)^0 = 6(1) = 6. Thus, we can immediately eliminate possible answer choices A and D.
What's the next term? Knowing that the first term, a(1), is 6, the next term is found by multiplying this 6 by (-8)^1, obtaining -48.
The next (third) term is found by multiplying this -48 by (-8)^2, obtaining -48*(+64), or - 3072.
Note that the sign of (-8)^(n-1) alternates, being odd when n-1 is odd and even when n-1 is even.
Answer C is the correct one.
Answer:
5
Step-by-step explanation:
Answer: 3528.25
Step-by-step explanation:Make a sideview sketch
you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°
the side opposite the 3° angle is 1000
by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)
x/sin24 = 1000/sin3
x = 1000sin24/sin3
let the height of the mountain be h
sin 27 = h/x
h = x sin27 = (1000sin24/sin3)(sin27)
= 3528.25
