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
Answer:
The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.
Step-by-step explanation:
Answer:
okbvghcfgcgfxdxdfffij,mhb
Step-by-step explanation:
960 cups of alcohol (or 60 gallons)
360 gallons of water
240 cups of ammonia (or 15 gallons)
Take total and divide by 8 , so 1280 divide by 8 is 160. now multiply each amount by 160. *(remember there are 16 cups in a gallon . So you dived total amount of cups by 16 to convert it to gallons)
