Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Chapter 7.2, Problem 60PPS

a.

To determine

To calculate: The ratio of the area of the circle to that of the square for the given figure.

a.

Expert Solution
Check Mark

Answer to Problem 60PPS

The ratio of the area of the circle to that of the square =π4 .

Explanation of Solution

Given information: Area of the circle is given by A1=πr2 and the area of square is given by A2=s2 .

The ratio of the area of circle to area of square will be given by

  A1A2=πr2s2

Also from the figure in the question, it can be observed that s=2r .Therefore the ratio will be

  A1A2=πr2(2r)2=πr24r2=π4

Hence the ratio of the area of the circle to that of the square =π4 .

b.

To determine

To calculate: The ratio of the area of the circle to that of the square for the given figure if both the radius of circle and the length of square is doubled.

b.

Expert Solution
Check Mark

Answer to Problem 60PPS

The ratio of the area of the circle to that of the square remains same and =π4 .

Explanation of Solution

Given information: Area of the circle is given by A1=πr2 and the area of square is given by A2=s2 .

From the figure given in the question, it can be observed that s=2r .

Hence the ratio of the area of circle to area of square will be given by

  A1A2=πr2(2r)2=π4

Now if new radius and square length are doubled ( r'=2r&s'=2s ).Then the ratio will be

  A1'A2'=π(2r)2(2s)2=4πr24s2=πr2s2=πr2(2r)2=π4

Hence The ratio of the area of the circle to that of the square remains same and =π4 .

c.

To determine

To calculate: The ratio of the area of the circle to that of the square for the given figure for different values of r.

c.

Expert Solution
Check Mark

Answer to Problem 60PPS

The ratio of the area of the circle to that of the square remains same and =π4 .

Explanation of Solution

Given information: Area of the circle is given by A1=πr2 and the area of square is given by A2=s2 .

From the figure given in the question, it can be observed that s=2r …. (1)

Hence the ratio of the area of circle to area of square will be given by

  A1A2=πr2(2r)2=π4

Now if new radius is doubled ( r'=2r ) then square length will also be doubled by using equation (1)

  s'=2r'=2(2r)=2s

And the new ratio will be

  A1'A2'=π(2r)2(2s)2=4πr24s2=πr2s2=πr2(2r)2=π4

Similarly if r'=3r then

  s'=2r'=2(3r)=3(2r)=3s

And the new ratio will be

  A1'A2'=π(3r)2(3s)2=9πr29s2=πr2s2=πr2(2r)2=π4

Hence it can be observed that

  ifr'=2rthens'=2s,ratio=π4r'=3rthens'=3s,ratio=π4r'=4rthens'=4s,ratio=π4r'=5rthens'=5s,ratio=π4r'=6rthens'=6s,ratio=π4

So it can be observed that the ratio will always remain the same for all values of r .

Hence The ratio of the area of the circle to that of the square remains same and =π4 .

Chapter 7 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYUCh. 7.1 - Prob. 4CYUCh. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8CYUCh. 7.1 - Prob. 9CYUCh. 7.1 - Prob. 10CYUCh. 7.1 - Prob. 11CYUCh. 7.1 - Prob. 12CYUCh. 7.1 - Prob. 13CYUCh. 7.1 - Prob. 14CYUCh. 7.1 - Prob. 15CYUCh. 7.1 - Prob. 16CYUCh. 7.1 - Prob. 17CYUCh. 7.1 - Prob. 18CYUCh. 7.1 - Prob. 19CYUCh. 7.1 - Prob. 20CYUCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - Prob. 40PPSCh. 7.1 - Prob. 41PPSCh. 7.1 - Prob. 42PPSCh. 7.1 - Prob. 43PPSCh. 7.1 - Prob. 44PPSCh. 7.1 - Prob. 45PPSCh. 7.1 - Prob. 46PPSCh. 7.1 - Prob. 47PPSCh. 7.1 - Prob. 48PPSCh. 7.1 - 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Prob. 60PPSCh. 7.2 - Prob. 61HPCh. 7.2 - Prob. 62HPCh. 7.2 - Prob. 63HPCh. 7.2 - Prob. 64HPCh. 7.2 - Prob. 65HPCh. 7.2 - Prob. 66PFACh. 7.2 - Prob. 67PFACh. 7.2 - Prob. 68PFACh. 7.2 - Prob. 69PFACh. 7.2 - Prob. 70PFACh. 7.2 - Prob. 71PFACh. 7.2 - Prob. 72PFACh. 7.3 - Prob. 1AGPCh. 7.3 - Prob. 1BGPCh. 7.3 - Prob. 1CGPCh. 7.3 - Prob. 1DGPCh. 7.3 - Prob. 2AGPCh. 7.3 - Prob. 2BGPCh. 7.3 - Prob. 3AGPCh. 7.3 - Prob. 3BGPCh. 7.3 - Prob. 4AGPCh. 7.3 - Prob. 4BGPCh. 7.3 - Prob. 5AGPCh. 7.3 - Prob. 5BGPCh. 7.3 - Prob. 6GPCh. 7.3 - Prob. 1CYUCh. 7.3 - Prob. 2CYUCh. 7.3 - Prob. 3CYUCh. 7.3 - Prob. 4CYUCh. 7.3 - Prob. 5CYUCh. 7.3 - Prob. 6CYUCh. 7.3 - Prob. 7CYUCh. 7.3 - Prob. 8CYUCh. 7.3 - Prob. 9CYUCh. 7.3 - Prob. 10CYUCh. 7.3 - Prob. 11CYUCh. 7.3 - Prob. 12CYUCh. 7.3 - Prob. 13CYUCh. 7.3 - Prob. 14CYUCh. 7.3 - Prob. 15CYUCh. 7.3 - Prob. 16CYUCh. 7.3 - Prob. 17PPSCh. 7.3 - Prob. 18PPSCh. 7.3 - Prob. 19PPSCh. 7.3 - Prob. 20PPSCh. 7.3 - Prob. 21PPSCh. 7.3 - Prob. 22PPSCh. 7.3 - Prob. 23PPSCh. 7.3 - 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Prob. 72PPSCh. 7.3 - Prob. 73PPSCh. 7.3 - Prob. 74PPSCh. 7.3 - Prob. 75PPSCh. 7.3 - Prob. 76PPSCh. 7.3 - Prob. 77PPSCh. 7.3 - Prob. 78PPSCh. 7.3 - Prob. 79PPSCh. 7.3 - Prob. 80PPSCh. 7.3 - Prob. 81PPSCh. 7.3 - Prob. 82PPSCh. 7.3 - Prob. 83PPSCh. 7.3 - Prob. 84PPSCh. 7.3 - Prob. 85PPSCh. 7.3 - Prob. 86PPSCh. 7.3 - Prob. 87PPSCh. 7.3 - Prob. 88PPSCh. 7.3 - Prob. 89HPCh. 7.3 - Prob. 90HPCh. 7.3 - Prob. 91HPCh. 7.3 - Prob. 92HPCh. 7.3 - Prob. 93HPCh. 7.3 - Prob. 94PFACh. 7.3 - Prob. 95PFACh. 7.3 - Prob. 96PFACh. 7.3 - Prob. 97PFACh. 7.3 - Prob. 98PFACh. 7.3 - Prob. 99PFACh. 7.3 - Prob. 100PFACh. 7.3 - Prob. 101PFACh. 7.3 - Prob. 102PFACh. 7.4 - Prob. 1AGPCh. 7.4 - Prob. 1BGPCh. 7.4 - Prob. 2AGPCh. 7.4 - Prob. 2BGPCh. 7.4 - Prob. 3AGPCh. 7.4 - Prob. 3BGPCh. 7.4 - Prob. 4AGPCh. 7.4 - Prob. 4BGPCh. 7.4 - Prob. 4CGPCh. 7.4 - Prob. 4DGPCh. 7.4 - Prob. 5AGPCh. 7.4 - Prob. 5BGPCh. 7.4 - Prob. 6AGPCh. 7.4 - Prob. 6BGPCh. 7.4 - Prob. 6CGPCh. 7.4 - Prob. 6DGPCh. 7.4 - Prob. 7AGPCh. 7.4 - Prob. 7BGPCh. 7.4 - Prob. 7CGPCh. 7.4 - Prob. 7DGPCh. 7.4 - Prob. 8AGPCh. 7.4 - Prob. 8BGPCh. 7.4 - Prob. 8CGPCh. 7.4 - Prob. 8DGPCh. 7.4 - Prob. 9GPCh. 7.4 - Prob. 1CYUCh. 7.4 - Prob. 2CYUCh. 7.4 - Prob. 3CYUCh. 7.4 - Prob. 4CYUCh. 7.4 - Prob. 5CYUCh. 7.4 - Prob. 6CYUCh. 7.4 - Prob. 7CYUCh. 7.4 - Prob. 8CYUCh. 7.4 - Prob. 9CYUCh. 7.4 - Prob. 10CYUCh. 7.4 - Prob. 11CYUCh. 7.4 - Prob. 12CYUCh. 7.4 - Prob. 13CYUCh. 7.4 - Prob. 14CYUCh. 7.4 - Prob. 15CYUCh. 7.4 - Prob. 16CYUCh. 7.4 - Prob. 17CYUCh. 7.4 - Prob. 18CYUCh. 7.4 - Prob. 19CYUCh. 7.4 - Prob. 20CYUCh. 7.4 - Prob. 21CYUCh. 7.4 - Prob. 22CYUCh. 7.4 - Prob. 23CYUCh. 7.4 - Prob. 24CYUCh. 7.4 - Prob. 25CYUCh. 7.4 - Prob. 26CYUCh. 7.4 - Prob. 27CYUCh. 7.4 - Prob. 28CYUCh. 7.4 - Prob. 29CYUCh. 7.4 - Prob. 30PPSCh. 7.4 - Prob. 31PPSCh. 7.4 - Prob. 32PPSCh. 7.4 - Prob. 33PPSCh. 7.4 - Prob. 34PPSCh. 7.4 - Prob. 35PPSCh. 7.4 - Prob. 36PPSCh. 7.4 - Prob. 37PPSCh. 7.4 - Prob. 38PPSCh. 7.4 - Prob. 39PPSCh. 7.4 - Prob. 40PPSCh. 7.4 - Prob. 41PPSCh. 7.4 - Prob. 42PPSCh. 7.4 - Prob. 43PPSCh. 7.4 - Prob. 44PPSCh. 7.4 - Prob. 45PPSCh. 7.4 - Prob. 46PPSCh. 7.4 - Prob. 47PPSCh. 7.4 - Prob. 48PPSCh. 7.4 - Prob. 49PPSCh. 7.4 - Prob. 50PPSCh. 7.4 - Prob. 51PPSCh. 7.4 - Prob. 52PPSCh. 7.4 - Prob. 53PPSCh. 7.4 - Prob. 54PPSCh. 7.4 - Prob. 55PPSCh. 7.4 - Prob. 56PPSCh. 7.4 - Prob. 57PPSCh. 7.4 - Prob. 58PPSCh. 7.4 - Prob. 59PPSCh. 7.4 - Prob. 60PPSCh. 7.4 - Prob. 61PPSCh. 7.4 - Prob. 62PPSCh. 7.4 - Prob. 63PPSCh. 7.4 - Prob. 64PPSCh. 7.4 - Prob. 65PPSCh. 7.4 - Prob. 66PPSCh. 7.4 - Prob. 67PPSCh. 7.4 - Prob. 68PPSCh. 7.4 - Prob. 69PPSCh. 7.4 - Prob. 70PPSCh. 7.4 - Prob. 71PPSCh. 7.4 - Prob. 72PPSCh. 7.4 - Prob. 73PPSCh. 7.4 - Prob. 74PPSCh. 7.4 - Prob. 75HPCh. 7.4 - Prob. 76HPCh. 7.4 - Prob. 77HPCh. 7.4 - Prob. 78HPCh. 7.4 - Prob. 79HPCh. 7.4 - Prob. 80HPCh. 7.4 - Prob. 81HPCh. 7.4 - Prob. 82PFACh. 7.4 - Prob. 83PFACh. 7.4 - Prob. 84PFACh. 7.4 - Prob. 85PFACh. 7.4 - Prob. 86PFACh. 7.4 - Prob. 87PFACh. 7.4 - Prob. 88PFACh. 7.4 - Prob. 89PFACh. 7.5 - Prob. 1GPCh. 7.5 - Prob. 2GPCh. 7.5 - Prob. 3GPCh. 7.5 - Prob. 4GPCh. 7.5 - Prob. 1CYUCh. 7.5 - Prob. 2CYUCh. 7.5 - Prob. 3CYUCh. 7.5 - Prob. 4CYUCh. 7.5 - Prob. 5CYUCh. 7.5 - Prob. 6CYUCh. 7.5 - Prob. 7CYUCh. 7.5 - Prob. 8CYUCh. 7.5 - Prob. 9CYUCh. 7.5 - Prob. 10PPSCh. 7.5 - Prob. 11PPSCh. 7.5 - Prob. 12PPSCh. 7.5 - Prob. 13PPSCh. 7.5 - Prob. 14PPSCh. 7.5 - Prob. 15PPSCh. 7.5 - Prob. 16PPSCh. 7.5 - Prob. 17PPSCh. 7.5 - Prob. 18PPSCh. 7.5 - Prob. 19PPSCh. 7.5 - Prob. 20PPSCh. 7.5 - Prob. 21PPSCh. 7.5 - Prob. 22PPSCh. 7.5 - Prob. 23PPSCh. 7.5 - Prob. 24PPSCh. 7.5 - Prob. 25PPSCh. 7.5 - Prob. 26PPSCh. 7.5 - Prob. 27PPSCh. 7.5 - Prob. 28PPSCh. 7.5 - Prob. 29PPSCh. 7.5 - Prob. 30PPSCh. 7.5 - Prob. 31PPSCh. 7.5 - Prob. 32PPSCh. 7.5 - Prob. 33PPSCh. 7.5 - Prob. 34PPSCh. 7.5 - Prob. 35PPSCh. 7.5 - Prob. 36PPSCh. 7.5 - Prob. 37PPSCh. 7.5 - Prob. 38PPSCh. 7.5 - Prob. 39PPSCh. 7.5 - Prob. 40PPSCh. 7.5 - Prob. 41HPCh. 7.5 - Prob. 42HPCh. 7.5 - Prob. 43HPCh. 7.5 - Prob. 44HPCh. 7.5 - Prob. 45HPCh. 7.5 - Prob. 46PFACh. 7.5 - Prob. 47PFACh. 7.5 - Prob. 48PFACh. 7.5 - Prob. 49PFACh. 7.5 - Prob. 50PFACh. 7.6 - Prob. 1AGPCh. 7.6 - Prob. 1BGPCh. 7.6 - Prob. 2GPCh. 7.6 - Prob. 3GPCh. 7.6 - Prob. 4AGPCh. 7.6 - Prob. 4BGPCh. 7.6 - Prob. 5GPCh. 7.6 - Prob. 6GPCh. 7.6 - Prob. 1CYUCh. 7.6 - Prob. 2CYUCh. 7.6 - Prob. 3CYUCh. 7.6 - Prob. 4CYUCh. 7.6 - Prob. 5CYUCh. 7.6 - Prob. 6CYUCh. 7.6 - Prob. 7CYUCh. 7.6 - Prob. 8CYUCh. 7.6 - Prob. 9CYUCh. 7.6 - Prob. 10CYUCh. 7.6 - Prob. 11CYUCh. 7.6 - Prob. 12CYUCh. 7.6 - Prob. 13CYUCh. 7.6 - Prob. 14CYUCh. 7.6 - Prob. 15CYUCh. 7.6 - Prob. 16PPSCh. 7.6 - Prob. 17PPSCh. 7.6 - Prob. 18PPSCh. 7.6 - Prob. 19PPSCh. 7.6 - Prob. 20PPSCh. 7.6 - Prob. 21PPSCh. 7.6 - Prob. 22PPSCh. 7.6 - Prob. 23PPSCh. 7.6 - Prob. 24PPSCh. 7.6 - Prob. 25PPSCh. 7.6 - Prob. 26PPSCh. 7.6 - Prob. 27PPSCh. 7.6 - Prob. 28PPSCh. 7.6 - Prob. 29PPSCh. 7.6 - Prob. 30PPSCh. 7.6 - Prob. 31PPSCh. 7.6 - Prob. 32PPSCh. 7.6 - Prob. 33PPSCh. 7.6 - Prob. 34PPSCh. 7.6 - Prob. 35PPSCh. 7.6 - Prob. 36PPSCh. 7.6 - Prob. 37PPSCh. 7.6 - Prob. 38PPSCh. 7.6 - 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Prob. 4CYUCh. 7.7 - Prob. 5CYUCh. 7.7 - Prob. 6CYUCh. 7.7 - Prob. 7CYUCh. 7.7 - Prob. 8CYUCh. 7.7 - Prob. 9PPSCh. 7.7 - Prob. 10PPSCh. 7.7 - Prob. 11PPSCh. 7.7 - Prob. 12PPSCh. 7.7 - Prob. 13PPSCh. 7.7 - Prob. 14PPSCh. 7.7 - Prob. 15PPSCh. 7.7 - Prob. 16PPSCh. 7.7 - Prob. 17PPSCh. 7.7 - Prob. 18PPSCh. 7.7 - Prob. 19PPSCh. 7.7 - Prob. 20PPSCh. 7.7 - Prob. 21PPSCh. 7.7 - Prob. 22PPSCh. 7.7 - Prob. 23PPSCh. 7.7 - Prob. 24PPSCh. 7.7 - Prob. 25PPSCh. 7.7 - Prob. 26PPSCh. 7.7 - Prob. 27PPSCh. 7.7 - Prob. 28PPSCh. 7.7 - Prob. 29PPSCh. 7.7 - Prob. 30HPCh. 7.7 - Prob. 31HPCh. 7.7 - Prob. 32HPCh. 7.7 - Prob. 33HPCh. 7.7 - Prob. 34HPCh. 7.7 - Prob. 35PFACh. 7.7 - Prob. 36PFACh. 7.7 - Prob. 37PFACh. 7.7 - Prob. 38PFACh. 7.7 - Prob. 39PFACh. 7.7 - Prob. 40PFACh. 7.7 - Prob. 41PFACh. 7.7 - Prob. 42PFACh. 7.8 - Prob. 1GPCh. 7.8 - Prob. 2GPCh. 7.8 - Prob. 1CYUCh. 7.8 - Prob. 2CYUCh. 7.8 - Prob. 3PPSCh. 7.8 - Prob. 4PPSCh. 7.8 - Prob. 5PPSCh. 7.8 - Prob. 6PPSCh. 7.8 - Prob. 7PPSCh. 7.8 - Prob. 8HPCh. 7.8 - Prob. 9HPCh. 7.8 - Prob. 10HPCh. 7.8 - Prob. 11HPCh. 7.8 - Prob. 12PFACh. 7.8 - Prob. 13PFACh. 7.8 - Prob. 14PFACh. 7.8 - Prob. 15PFACh. 7.8 - Prob. 16PFACh. 7.8 - Prob. 17PFACh. 7.8 - Prob. 18PFACh. 7.9 - Prob. 1AGPCh. 7.9 - Prob. 1BGPCh. 7.9 - Prob. 1CGPCh. 7.9 - Prob. 2AGPCh. 7.9 - Prob. 2BGPCh. 7.9 - Prob. 3GPCh. 7.9 - Prob. 4GPCh. 7.9 - Prob. 1CYUCh. 7.9 - Prob. 2CYUCh. 7.9 - Prob. 3CYUCh. 7.9 - Prob. 4CYUCh. 7.9 - Prob. 5CYUCh. 7.9 - Prob. 6CYUCh. 7.9 - Prob. 7CYUCh. 7.9 - Prob. 8CYUCh. 7.9 - Prob. 9CYUCh. 7.9 - Prob. 10CYUCh. 7.9 - Prob. 11CYUCh. 7.9 - Prob. 12CYUCh. 7.9 - Prob. 13CYUCh. 7.9 - Prob. 14PPSCh. 7.9 - Prob. 15PPSCh. 7.9 - Prob. 16PPSCh. 7.9 - Prob. 17PPSCh. 7.9 - Prob. 18PPSCh. 7.9 - Prob. 19PPSCh. 7.9 - Prob. 20PPSCh. 7.9 - Prob. 21PPSCh. 7.9 - Prob. 22PPSCh. 7.9 - Prob. 23PPSCh. 7.9 - Prob. 24PPSCh. 7.9 - Prob. 25PPSCh. 7.9 - Prob. 26PPSCh. 7.9 - Prob. 27PPSCh. 7.9 - Prob. 28PPSCh. 7.9 - Prob. 29PPSCh. 7.9 - Prob. 30PPSCh. 7.9 - Prob. 31PPSCh. 7.9 - Prob. 32PPSCh. 7.9 - Prob. 33PPSCh. 7.9 - Prob. 34PPSCh. 7.9 - Prob. 35PPSCh. 7.9 - Prob. 36PPSCh. 7.9 - Prob. 37PPSCh. 7.9 - Prob. 38HPCh. 7.9 - Prob. 39HPCh. 7.9 - Prob. 40HPCh. 7.9 - Prob. 41HPCh. 7.9 - Prob. 42HPCh. 7.9 - Prob. 43PFACh. 7.9 - Prob. 44PFACh. 7.9 - Prob. 45PFACh. 7.9 - Prob. 46PFACh. 7.9 - Prob. 47PFACh. 7.9 - Prob. 48PFACh. 7.9 - Prob. 49PFACh. 7.10 - Prob. 1AGPCh. 7.10 - Prob. 1BGPCh. 7.10 - Prob. 2GPCh. 7.10 - Prob. 3GPCh. 7.10 - Prob. 4AGPCh. 7.10 - Prob. 4BGPCh. 7.10 - Prob. 1CYUCh. 7.10 - Prob. 2CYUCh. 7.10 - Prob. 3CYUCh. 7.10 - Prob. 4CYUCh. 7.10 - Prob. 5CYUCh. 7.10 - Prob. 6CYUCh. 7.10 - Prob. 7CYUCh. 7.10 - Prob. 8CYUCh. 7.10 - Prob. 9CYUCh. 7.10 - Prob. 10PPSCh. 7.10 - Prob. 11PPSCh. 7.10 - Prob. 12PPSCh. 7.10 - Prob. 13PPSCh. 7.10 - Prob. 14PPSCh. 7.10 - Prob. 15PPSCh. 7.10 - Prob. 16PPSCh. 7.10 - Prob. 17PPSCh. 7.10 - Prob. 18PPSCh. 7.10 - Prob. 19PPSCh. 7.10 - Prob. 20PPSCh. 7.10 - Prob. 21PPSCh. 7.10 - Prob. 22PPSCh. 7.10 - Prob. 23PPSCh. 7.10 - Prob. 24PPSCh. 7.10 - Prob. 25PPSCh. 7.10 - Prob. 26PPSCh. 7.10 - Prob. 27PPSCh. 7.10 - Prob. 28PPSCh. 7.10 - Prob. 29PPSCh. 7.10 - Prob. 30PPSCh. 7.10 - Prob. 31HPCh. 7.10 - Prob. 32HPCh. 7.10 - Prob. 33HPCh. 7.10 - Prob. 34HPCh. 7.10 - Prob. 35HPCh. 7.10 - Prob. 36PFACh. 7.10 - Prob. 37PFACh. 7.10 - Prob. 38PFACh. 7.10 - Prob. 39PFACh. 7.10 - Prob. 40PFACh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 16MCQCh. 7 - Prob. 17MCQCh. 7 - Prob. 18MCQCh. 7 - Prob. 19MCQCh. 7 - Prob. 20MCQCh. 7 - Prob. 21MCQCh. 7 - Prob. 22MCQCh. 7 - Prob. 23MCQCh. 7 - Prob. 24MCQCh. 7 - Prob. 25MCQCh. 7 - Prob. 26MCQCh. 7 - Prob. 27MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 11SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - Prob. 32SGRCh. 7 - Prob. 33SGRCh. 7 - Prob. 34SGRCh. 7 - Prob. 35SGRCh. 7 - Prob. 36SGRCh. 7 - Prob. 37SGRCh. 7 - Prob. 38SGRCh. 7 - Prob. 39SGRCh. 7 - Prob. 40SGRCh. 7 - Prob. 41SGRCh. 7 - Prob. 42SGRCh. 7 - Prob. 43SGRCh. 7 - Prob. 44SGRCh. 7 - Prob. 45SGRCh. 7 - Prob. 46SGRCh. 7 - Prob. 47SGRCh. 7 - Prob. 48SGRCh. 7 - Prob. 49SGRCh. 7 - Prob. 50SGRCh. 7 - Prob. 51SGRCh. 7 - Prob. 52SGRCh. 7 - Prob. 53SGRCh. 7 - Prob. 54SGRCh. 7 - Prob. 55SGRCh. 7 - Prob. 56SGRCh. 7 - Prob. 57SGRCh. 7 - Prob. 58SGRCh. 7 - Prob. 59SGRCh. 7 - Prob. 60SGRCh. 7 - Prob. 61SGRCh. 7 - Prob. 62SGRCh. 7 - Prob. 63SGRCh. 7 - Prob. 64SGRCh. 7 - Prob. 65SGRCh. 7 - Prob. 66SGRCh. 7 - Prob. 67SGRCh. 7 - Prob. 68SGRCh. 7 - Prob. 69SGRCh. 7 - Prob. 70SGRCh. 7 - Prob. 71SGRCh. 7 - Prob. 72SGRCh. 7 - Prob. 73SGRCh. 7 - Prob. 74SGRCh. 7 - Prob. 75SGRCh. 7 - Prob. 76SGRCh. 7 - Prob. 77SGRCh. 7 - Prob. 78SGRCh. 7 - Prob. 79SGRCh. 7 - Prob. 80SGRCh. 7 - Prob. 81SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 18PTCh. 7 - Prob. 19PTCh. 7 - Prob. 20PTCh. 7 - Prob. 21PTCh. 7 - Prob. 22PTCh. 7 - Prob. 23PTCh. 7 - Prob. 24PTCh. 7 - Prob. 25PTCh. 7 - Prob. 26PTCh. 7 - Prob. 27PTCh. 7 - Prob. 28PTCh. 7 - Prob. 29PTCh. 7 - Prob. 30PTCh. 7 - Prob. 31PTCh. 7 - Prob. 32PTCh. 7 - Prob. 33PTCh. 7 - Prob. 34PTCh. 7 - Prob. 35PTCh. 7 - Prob. 36PTCh. 7 - Prob. 37PTCh. 7 - Prob. 1PFACh. 7 - Prob. 2PFACh. 7 - Prob. 3PFACh. 7 - Prob. 4PFACh. 7 - Prob. 5PFACh. 7 - Prob. 6PFACh. 7 - Prob. 7PFACh. 7 - Prob. 8PFACh. 7 - Prob. 9PFACh. 7 - Prob. 10PFACh. 7 - Prob. 11PFACh. 7 - Prob. 12PFACh. 7 - Prob. 13PFACh. 7 - Prob. 14PFACh. 7 - Prob. 15PFA

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