I’m not sure how your class works, but usually if they are circled it means you only have to do the circled ones. GCF always stands for greatest common factor
1 quart I think tbh idk but i think .
Answer:
B
Step-by-step explanation:
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
Given
A mouse scurries across your kitchen floor at 2.0 feet per second.
Find out the mouse travel in 1.5 hours.
To proof
FORMULA
Distance = speed × time
Convert feet per second into miles per second
As given in the question
Time = 1.5 hours
1 hours = 3600 second
Time convert in the second
Time = 1.5 × 3600 second
= 5400 second
put all these value in the above formula
we get
= 2.04 (approx) miles
= 2.0 miles
Hence proved
