Answer:
When you do adding and subtracting with decimals just line up the decimal points and do the math regularly
0.72
-0.7
_____
0.02 meters further so Hector's car traveled farther
0.6
+0.25
_____
0.85 swam in total
Hope this helps
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
The first graph was dilated by 1/2, therefore the answer is A
Hi there,
73 indeed a prime number
A prime number<span> (or a </span>prime) is a natural number<span> greater than 1 that has no positive divisors other than 1 and itself. A </span>natural number<span> greater than 1 that is not a </span>prime number<span> is called a composite </span><span>number!</span>
2/5 will be shaded in the original how I got it s that you make a rectangle and make fifths inside and shade in 3/5 of that and see what matches up on the top.
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
