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
It would take 16 days
explanation
if it takes 15 for 4 people to work 8 hours to complete the task, it would be a total of 480 hours. I multiplied 15x4x8. i multiplied 5x6 to get 30. I have to find the third value so i divided 30 from 480 to get 16.
Answer:
they are parallel to each other is the best choice to describe the bases of a cylinder. The answer is PARALLEL
A rational number can be expressed as the ratio of two integers.
Where a and b are integers and b is not equal to 0.
The rational number 8.8 can be expressed as two integers. Like
Answer:
$46.83
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For saving account A;
P = $1,800
t = 2 years
n = 12 (monthly
r = 3.6% = 0.036
Substituting the values;
A = 1800(1+0.036/12)^(12×2)
A1 = $1934.17
for saving account B;
P = $1,800
t = 2 years
n = 12 (monthly
r = 4.8% = 0.048
Substituting the values;
A = 1800(1+0.048/12)^(12×2)
A2 = $1981.00
The difference will then be
d = A2 - A1
d = $1981.00 - $1934.17
d = $46.83
Therefore, she would have $46.83 more
