To convert from rectangular coordinate (x, y) to polar coordinate (r, θ).
r is given by the square root of the sum of the squares of the rectangular coordinate.
and θ is given by the arctan of the ratio of y to x.
Example:
To convert rectangular coordinate (3, 4) to polar coordinate
Therefore, rectangular coordinate (3, 4) = polar coordinate (5, 53.13°)
Answer:
$57.93
Step-by-step explanation:
14 x 12 = 168
168/2.9
Answer:
The total distance walked by Paulo is 3750 feet.
Step-by-step explanation:
Here the four points are<em> (-2,1) (-2,-7) (5,-7) (5,1)</em>
Moving from stop A to B, only the y coordinate changes,
the change is ,
=1-(-7) = 1+7 = 8 units
Moving from stop B to C, only the x coordinate changes,
the change is ,
=5-(-2) = 5+2 = 7 units
Moving from stop C to D, only the y coordinate changes,
the change is
=1-(-7) = 1+7 = 8 units
Moving from stop D to A, only the x coordinate changes,
the change is
=5-(-2) = 5+2 = 7 units
Thus, the total distance traveled is 8+7+8+7 = 30 units
It is given that <em>1 unit = 125 feet</em>
Thus, the total distance traveled is = 
The total distance walked by Paulo is 3750 feet.
Answer:
7
Explanation:
From the question, we're told that triangles AMY and MEG are similar. If triangle AMY has sides AM = 5, MY = 7, and AY = 3 then we can find the side lengths of triangle MEG since we're told from the question that it is a dilation of AMY by a scale factor of 1/3.
So all we need to is multiply the corresponding sides of AMY by 1/3, so we'll have;
We can then go ahead and find the perimeter of MEG. Note that to find the perimeter of a triangle, we add all the length of its sides;
The perimeter of MEG is 7.
Answer:
Probability to get tails exactly 8 times or exactly 5 times is 0.29
Step-by-step explanation:
No of ways the coins lands tails exactly 8 times
P(8) = 15C8 × 
× 
No of ways the coin lands tails exactly 5 times
P(5) = 15C5 × 
× 
Probability to get tails exactly 8 times or 5 times
P(8)+P(5) = 15C8 × 
+ 15C5 ×
P = ( 15C8 + 15C5 )
P = ( ( 
) + ( 
) )
P = ( 6435 + 3003 )
P = ( 9438)
P = 
( 4719)
P = 
P = 0.29
