Answer:
41.667 to the nearest thousandth.
Step-by-step explanation:
z = kx/y where k is the constant of proportionality.
Inserting the given values:
66.666666666667 = k*20/6
20k = 6*66.666666666667
k = 6*66.666666666667 / 20
= 20
So the equation of variation is z = 20x /y
When x = 25 and y = 12:
z = 20*25/12
= 41.666666666667.
Sin 3pi/4 is angle 135 degrees or 45 degrees below 180 degrees. Hence it's opposite side is 1 and adjacent is 1, implying the hypothenus is sqrt(2). Hence
Sin 3pi/4 = 1/sqrt(2). Now multiply by sqrt(2)/sqrt(2) to get:
[1/sqrt(2).] * [sqrt(2)/sqrt(2)] = sqrt2)/2
<h3>
Answer: 6</h3>
Mark the locations -6 and 0 on the number line. Note that going from -6 to 0, or vice versa, will take exactly 6 steps. Put another way, the distance between 0 and -6 is 6 units. Absolute value represents distance, so it is never negative.
We say 
Effectively, all we're doing is removing the negative sign.
Hello,
If an equation is an identity, then every value of the variable makes the egality true.
Generaly we resolve an equation in R.
In this case Sol=R
Answer:
Width of river = 0.25 mile
As length of river is not given , but it is given that campsite is located 1 mile east upstream, So length of river = 1 mile
Speed of mine in river while going upstream = 3 miles per hour
Speed of current as going Upstream = 1 miles per hour
Now Reduced speed of mine = Speed of mine in river while going upstream - Speed of current as going Upstream
= 3 - 1
= 2 miles per hour
1. There are two ways to reach campsite
(a) either walk 1 mile from starting point in east direction and then swim 0.25 mile in North direction to reach campsite.
Or
(b) From the starting point Considering a right triangle having, base=1 mile and altitude = 0.25 mile, then finding the length of hypotenuse using formula =
=
=√1.0625
=1.03078(approx)
⇒ you must walk a distance of 1 mile in the east direction and then swim 0.25 mile north direction to reach directly at campsite.[shown in the diagram]