Step-by-step explanation:
a general line equation is
y = ax + b
the original line is
y = 3/5 x + 10
the factor of x is always the slope (inclination of the line).
it is "y change/x change".
the slope of a perpendicular line (angle of 90°) is turning the slope of the original line upside-down and flips the sign.
so, it is -5/3.
we use the point information to get the right "b" for our new line :
-5 = -5/3 × 15 + b
-5 = -5×5 + b
-5 = -25 + b
b = 20
so, the perpendicular line equation going through (15, -5) is
y = -5/3 x + 20
There are 120 ways in which 5 riders and 5 horses can be arranged.
We have,
5 riders and 5 horses,
Now,
We know that,
Now,
Using the arrangement formula of Permutation,
i.e.
The total number of ways
,
So,
For n = 5,
And,
r = 5
As we have,
n = r,
So,
Now,
Using the above-mentioned formula of arrangement,
i.e.
The total number of ways
,
Now,
Substituting values,
We get,

We get,
The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,
So,
There are 120 ways to arrange horses for riders.
Hence we can say that there are 120 ways in which 5 riders and 5 horses can be arranged.
Learn more about arrangements here
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The answer to your question is 0.
First, you need to figure out whether you need to use sin, cosine or tan.
Since we know that we need to find the adjacent side of the triangle and also since we already know the opposite side of the triangle from the angle, we can use tan.
tan(20)=opposite/adjacent
tan(20)=(146.5)/adjacent
adjacent=(146.5)/tan(20)
403 meters away form the pyramid
Answer:
-1.2
Step-by-step explanation:
An interger has to be a whole number that can be positive, negative, or zero. It can't have a decimal point. hope this helps