Answer:
45.40
Step-by-step explanation:
First of all, the shape of rope is not a parabola but a catenary, and all catenaries are similar, defined by:
y=acoshxa
You just have to figure out where the origin is (see picture). The hight of the lowest point on the rope is 20 and the pole is 50 meters high. So the end point must be a+(50−20) above the x-axis. In other words (d/2,a+30) must be a point on the catenary:
a+30=acoshd2a(1)
The lenght of the catenary is given by the following formula (which can be proved easily):
s=asinhx2a−asinhx1a
where x1,x2 are x-cooridanates of ending points. In our case:
80=2asinhd2a
40=asinhd2a(2)
You have to solve the system of two equations, (1) and (2), with two unknowns (a,d). It's fairly straightforward.
Square (1) and (2) and subtract. You will get:
(a+30)2−402=a2
Calculate a from this equation, replace that value into (1) or (2) to evaluate d.
My calculation:
a=353≈11.67
d=703arccosh257≈45.40
Demoss graphing calculator
5x+7y=105
There are four variants are possible
1. You sold 15 adult tickets
2. You sold 7 student tickets and 10 adult tickets
3. You sold 14 student tickets and 5 adult tickets
4. You sold 21 student tickets.
Answer:
B
Step-by-step explanation:
It's very easy
F(-3,-2), I(-4, 3), A(-2,3), M(1, -1)<br>
to<br>
I’(-4,-3), A’ (-2, -3), M’(1,1), F(-3,2)
icang [17]
I am not sure what exactly the question is, but all points are a reflection across the x-axis. I hope that helps.
