Answer this question by trigonometry.
Draw the rope at an angle of 33 degrees from the x axis.
You will find:
cosx = a/h
cos33 = a/290
a. = 243.21
Answer: 20
Step-by-step explanation:
x+y=5
x-y=4
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x+y=5
x=4+y
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(4+y)+y=5
4+y+y=5
4+2y=5
2y=1
y=0.5
x=4.5
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x²-y²=(4.5)²-(0.5)²=20.25-0.25=20
N, N+2, and N + 4 are the ages
(N + 4) - (2N) = (N + 2) -24
4 - N = N - 22
2N = 26
N = 13
The brothers are 13, 15, and 17 years old.
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9514 1404 393
Answer:
-0.16
Step-by-step explanation:
The 'a' value can be found by looking at the difference between the y-value of a point 1 unit from the vertex, and the y-value of the vertex.
Here, that is a negative fraction of a unit. If we assume the value is a rational number that can be accurately determined from this graph, then we can find it by looking for a point where the graph crosses a grid intersection. It looks like such grid points are (-7, 0) and (3, 0). The vertex is apparently (-2, 4), so the vertex form of the equation is ...
y = a(x +2)^2 +4
Using the point (3, 0), we have ...
0 = a(3 +2)^2 +4 . . . . . fill in the values of x and y
-4 = 25a . . . . . . . . . . subtract 4; next, divide by 25
a = -4/25 = -0.16