Answer:
120 ≤ 20c + 40s
Step-by-step explanation:
(Assuming her name is Kylie, who is giving 40 minute science sessions and 20 minute Chinese sessions.)
The unit for time will be minutes.
Write an equation for time needed for science sessions
40s = t
Write an equation for time needed for Chinese sessions
20c = t
Combine the two equations for the total time.
20c + 40s = total time
She does not want the total time to be more than two hours.
Convert two hours to minutes. There are 60 minutes in an hour.
2h * 60mins = 120 mins
Therefore t ≤ 120. Include this into the equation.
120 ≤ 20c + 40s
Answer:
c = b / cos 45.
Step-by-step explanation:
cos 45 = b/c
c * cos 45 = b
c = b / cos 45.
Answer:
For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.
The new coordinates will be
A(-4,10)
B(4,10)
C(-4,4)
D(4,4)
Step-by-step explanation:
The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).
Answer:
73/100
Step-by-step explanation:
73% = 73/100
