It’s 54 since the angle is 90 degrees your two equations suppose to add up 90 degrees
Answer: Cost of tickets for adults = $22
Cost of tickets for children = $15
Total number of tickets sold = 732
Total receipts = $12,912
Let x be number of adult ticket's sold and y be the number of child ticket's sold.
Therefore, we have:
--------------- equation 1
Also, we have:
Now, let's substitute the value of x:
Now, let's substitute the value of y=456 in equation 1, we have:
Therefore, the number of child ticket's sold is 456 and number of adult ticket's sold is 276
What we know:
Circle A has a center at (2,0) and a radius of 8
Circle A' has a center at (-1,5) and a radius of 3
What we need to find:
we need to find the transformation from the center point of A to A' and the scale factor
Circle A can be mapped to Circle A'
center point translation (x,y)⇒[(x+a),(y+b)]⇒(x-3, y+5)
2+a=-1 0+b=5
-2+2+a=-1-2 b=5
a=-3
scale factor is 3/8
8x=3
8/8x=3/8
x=3/8
<span>A)(x, y) → (x - 3, y + 5); scale factor 3/8 </span>