Answer:
The coordinates of his position is (-6,-8).
Step-by-step explanation:
Consider the provided information.
Let's assume for a moment that we are standing at the origin and the positive y-axis points due North while the positive x-axis points due East.
North represents the positive y axis, then south will represents the negative y axis.
It is given that the east represents the positive x axis then west represents the negative x axis.
Sasquatch-o-meter tells us that Sasquatch is 6 miles West and 8 miles South of our current position.
6 miles west represents a x=-6 and also 8 miles south represents y=-8
Thus, the coordinates of his position is (-6,-8).
Answer:
The zeroes in this equation are -5, -4, and 5
Step-by-step explanation:
In order to find these, you need to factor by splitting. For this, we separate out the two halves of the equation and pull out the greatest common factor of each. Let's start with the front end.
r^3 + 4r^2
r^2(r + 4)
Now the second half.
-25r - 100
-25(r + 4)
Since what is left in the parenthesis are exactly the same, we can use that parenthesis next to one with what we pulled out.
(r^2 - 25)(r + 4)
And we can further factor the first parenthesis using the difference of two squares
(r^2 - 25)(r + 4)
(r + 5)(r - 5)(r + 4)
Now that we are fully factored, set each parenthesis equal to 0 and solve for x.
r + 5 = 0
r = -5
r - 5 = 0
r = 5
r + 4 = 0
r = -4
<h3>
Answer: 72.54</h3>
====================================================
Explanation:
We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.
This is what your steps could look like:
cos(angle) = adjacent/hypotenuse
cos(L) = LM/LN
cos(L) = 18/60
cos(L) = 0.3
L = arccos(0.3)
L = 72.542396876278 which is approximate
L = 72.54 degrees approximately
Make sure your calculator is in degree mode.
