Answer:
The ride lasts 10 minutes.
Step-by-step explanation:
The triangle that is formed is attached.
In order to find out how long the ride lasts, we need to figure out the horizontal distance 
From trigonometry we have:
Therefore
Now the amount of time 
the gondola ride lasts is equal to the distance 
divided by the speed of the gondola:
To the nearest minute this is 10 minutes.
Answer:
Quadrants I and II.
O: (-2, 2)
N: (-2, 4)
M: (1, 4)
P: (1, 2)
Step-by-step explanation:
When rotating about the origin 90 degrees in a counterclockwise direction, focus on the coordinates of one point on the preimage at a time. So, the x-coordinate on the image will be the opposite of the y-coordinate of the preimage, and the y coordinate of the image will be the x-coordinate of the preimage. That sounds complicated so here is an example from the problem.
O is a point on the preimage. Its coordinates are (2, 2). To find the x-coordinate, take the opposite of the image's y-coordinate. The y-coordinate is 2, so it will be a -2 x-coordinate on the image. To find the y-coordinate on the image, take the x-coordinate of the preimage (O). The x-coordinate of O is 2, so the y-coordinate of the image will be 2. Combine those together and after a 90 degree counterclockwise rotation, you get a point of (-2, 2)
21 + 20 = 43
Total is 123, so divide by 43.
123/43 = 2.86 rounded to 3.
(females) 20 x 3 = 60 female lions
Answer:
15
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
<em>x</em> is greater than 12:
and <em>x</em> is less than or equal to 3 times the value of y:
We can divide everything by 3:
