a = 56
given 28 = a
multiply both sides by 2 to eliminate the fraction
56 = a
As a check
× 56 = 28 ← True
PQ is a chord of length 8cm and radius 5cm.Find length of tangents.
1 answer:
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ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :
We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.
This simplifies to,
Hence the image is (2,2)
28. The ratio of games they won to total games played = 12: 14 = 6: 7.
29. Max's pay rate is 9.50 dollars per hour.
30. The value of n is 9.
Step-by-step explanation:
Step 1; Heather's team won 12 games out of 14. To find the ratio of games won to the total number of games we divide the number of games won to the number of games played.
The ratio of games won to games played = 12: 14, dividing both sides by 2 we simplify the ratio. So the simplified ratio is 6: 7.
Step 2; Max earns $380 for working 40 hours. So to find how much he earns an hour we divide the total money earned in n hours divided by n number of hours.
Money earned per hour = = $9.50. So Max's pay rate per hour is $9.50.
Step 3; The given proportion is
=
, to solve this we keep n on the left-hand side while we multiply the 12 on to the other side
n = × 12 =
× 12 =
= 9.