Answer:
we need more info
Step-by-step explanation:
63/60min = 1.05k per min
(1.05k/min) * (20min) = 21k
Answer:
4 + 12 × 19 + 24
Step-by-step explanation:
Hullo!
Words like "added or sum", represent addition.
Words like "times", represent multiplication.
Words like "subtracted or took away", represent subtraction.
Words like "divided or split up", represent division.
Therefore, we can express the equation 4 added to 12 times 19 plus 24 can be rewritten as 
in expression format.
Hope this helps!
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
