Mathematics, 05.10.2019 05:50 soupsah8166

Will give brainliest

a boat would like to cross the river using the most direct route because of the current the boat must aim upriver as shown in the diagram to the nearest degree what is the angle the boat should head upstream

19 degrees south of west
71 degrees south of west
19 degrees north of west
71 degrees north of west

Will give brainliest a boat would like to cross the river using the most direct ro

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Answer from: sqye6058

Hello!

The answer is:

According to the picture, the angle that the boat should head upstream is 19° north of west.

Why?

From the figure, we can see that there is a right triangle formed, and since we know its hypothenuse and its opposite side, we can use the following trigonometric relation:

$Sin(\alpha)=\frac{opposite}{hypothenuse}$

We are given that:

$opposite=6\\hypothenuse=18$

So, substituting and calculating, we have:

$Sin(\alpha)=\frac{6}{18}$

$Arcosin(Sin(\alpha))=Arcsin(\frac{6}{18})\\\\\alpha =19.47\°$

Therefore the angle that the boat should head upstream is 19°, but since speeds and direction and involved, we need to look for the direction, we can see that the vertical speed is due to north, and the horizontal speed is due to west, knowing that, we can conclude that the resultant speed will be due to north of west.

Hence, according to the picture, the angle that the boat should head upstream is 19° north of west.

Have a nice day!

Answer from: Quest

answer: (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)

Answer from: Quest

Answer: f(x) = -2x^3 +3x^2 +11x -6see attachedan infinite number. since the magnitude of the leading coefficient is not specified, it may be any negative number. (we have chosen the smallest magnitude integer that makes all coefficients be integers.)step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.