To calculate this you need to imagine triangle which points are:
boat
Top of lighthouse
Bottom of lighthouse
That triangle has 90 degrees angle at bottom of lighthouse. That means that we can use trigonometry to determine length between boat and bottom of lighthouse
tan(25) = 89/x
x = 89/tan(25)
x = 190.86
after rounding, the answer is D, 191 feet
6x^2 + x - 15 = 6x^2 - 9x + 10x - 15 = 3x(2x - 3) + 5(2x - 3) = (3x + 5)(2x - 3)
Therefore, the other factor is 3x + 5.
Here’s the Answer for this equation
Answer:
1/2.
Step-by-step explanation:
Probability totals must add up to 1.
P = probability.
If P(any number other than 6) = x, then P(6) = 3x, so
3x + 5x = 1
x = 1/8
P(6) = 3/8 and P(not 6) = 1/8
Therefore P(6 or 1) = 3/8 + 1/8 = 1/2 (answer).
