Answer:
k = 6.5
Step-by-step explanation:
y = 2x + c is given. Thus, we know immediately that the slope of this line is m = 2. If (k, 10) is a point on this line, then the following must be true:
10 = 2(k) + c, and
-3 + 2(0) + c
or
10 = 2k + c
c = -3
Thus, 10 = 2k + -3 becomes 13 = 2k, so that k = 6.5
Answer:
8,295.4
Step-by-step explanation:
7,134 + d = 10,000
Subtract 7,134 from each side:
d = 10,000 - 7,134
d = 2,866
it does not show the question
Please refer the attached figure for better understanding of the solution
Here we are given that the angle of depression is 40°
And the height of the boat from the water is 25.17 ft
we need to find the length of the rope used which we can take as x
We can see that sin is the ratio that corresponds to the opposite side and the hypotenuse sides of the triangle formed
so we have
sin 40° = 



Hence the length of the rope needed is 39.16 ft