Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).
Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is
We know that,
Divide both sides by 9.
Therefore, the value of y is 12.
Answer:
Step-by-step explanation:
Given that St. Mary's Church is holding a raffle in which 1172 tickets have been sold at a cost of $2.00 each.
Three prizes will be awarded: 1 for S500;1 for $250; 1 for $125.
Thus total number of tickets = 1172
Of these prize winning are 3
i.e. Tickets Prize $ Net win amount Prob Net win amt*prob
1 500 (500-2) =448 1/1172 448/1172
1 250 (250-2) =248 1/1172 248/1172
1 125 (125-2) =123 1/1172 123/1172
1169 0 (0-2) = -2 1169/1172 -2338/1172
Expected value = Total -1519/1172
=-1.296
The measure of any interior angle of a convex regular n-gon is :
180 º - ( 360 º / n )
For a 30-sided polygon,
interior angle = 180 º - ( 360 º / 30 )
..................... = 180 º - 12 º
..................... = 168 º
Answer and step-by-step explanation:
a. 4 litres in 5 minutes (litres per minute)
4 litres per 5 minutes means 4/5 litres per 1 min = 0.8 litres per minutes
b. 12 litres in 45 minutes = 12/3 litres in 45/3 minutes = 4 litres per 15 minutes
60 minutes = 4*15 minutes
4 * 4 = 16 litres per hour
c. 800 kilowatt hours in 2 months
1 year = 12 months = 2*6 months
kilowatt per year = 800 * 6 = 4800 kilowatt per year
Hope this helped :3
Alexander has to miles to go because if one mile is a third you can simply maltiply by three, then subtract the mile he already went. you maltiply by three because it was a third of the way there