If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.
Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y
Solving for y in the second equation:
y = 200 / tan 51°33'
Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft
Therefore, the boat traveled 458.81 ft before it stopped.
Answer:
x≤9
Step-by-step explanation:
x ≤6+3
A measure of central tendency (measure of center) is a value that attempts to describe a set of data by identifying the central position of the data set (as representative of a "typical" value in the set). We are familiar with measures of central tendency called the mean<span>, </span>median<span> and mode.
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Answer:
A
Step-by-step explanation:
given the roots of a polynomial, say x = a, x = b and x = c, then
(x - a), (x - b) and (x - c) are it's factors and the polynomial is the product of it's factors.
here the roots are x = 4, x = - 5 and x = 7, hence
(x - 4), (x + 5) and (x - 7) are the factors
f(x) = a(x - 4)(x + 5)(x - 7) ← a is a multiplier
let a = 1 and expand the factors
f(x) = (x² + x - 20)(x - 7)
= x³ + x² - 20x - 7x² - 7x + 140
= x³ - 6x² - 27x + 140 → A
