Answer: The answer is that he cleaned one room
Step-by-step explanation:
Because he charged in total 77 dollars and he charged 77 dollars per room, so 77*1=77=c
Answer:
20
Step-by-step explanation:
If the two triangles are similar, then corresponding sides must share a constant ratio. This means that:

Let's use the second ratio:

Multiply both sides by 12:

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
The answer is D. If you plug in -6 for x (the x-value where the asymptote lies), only this equation will yield 1/0 for x=6. This means that D is the correct answer.
Answer:
8.14 feet
Step-by-step explanation:
8.14 feet will be more precise because it measures to the hundredths place, while 13.2 feet only measures to the tenths place.
Measuring to smaller place values increases precision and accuracy because the measurements are more likely to be more exact and correct.
So, 8.14 feet is more precise