Answer:
r = 5
Step-by-step explanation:
To solve for r, plug in the change in x values and change in y values, since the hypotenuse is simply the diagonal of both the y-coordinate and x-coordinates shown via drawing legs on the vertical and horizontal axis. So, since (0,0) is the initial point, r = sqr[(-4-0)^2 + (-3-0)^2 = sqr(16 + 9) = 5.
Now, the angle theta is the angle in which the sine, cosine, and tangent ratios are found. Simply use opposite over hypotenuse for sine, adjacent over hypotenuse for cosine, and opposite over adjacent for tangent using theta as the angle in which these values are obtained.
Answer:
The coordinates are 
and 
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where 
is the vector translation.
If we know that 
and 
, then the vector translation is:
Then, we determine the coordinates for Y' and Z':
The coordinates are and .
Answer:
$500?
Step-by-step explanation:
Answer:
Total cost= $235
Step-by-step explanation:
Giving the following information:
Dontae wants to buy 100 tiles for his kitchen floor. The tiles cost $2.35.
<u>To calculate the total cost, we need to use the following formula:</u>
Total cost= 2.35*x
x= number of tiles
<u>For 100 tiles:</u>
Total cost= 2.35*100
Total cost= $235
