What is 3515- x = 1396
2 answers:
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The perimeter of the figure is 50.56 cm.
Solution:
Radius of the quarter of a circle = 8 cm
Perimeter of the quarter circle =
= 12.56 cm
In figure, one side of the quarter circle is merged with rectangle, so remove one radius from the perimeter of the quarter circle.
Perimeter of the given quarter circle = 12.56 cm – one radius
= 12.56 cm – 8 cm
= 4.56 cm
Perimeter of the rectangle given = (17 – 8) cm + 10 cm + 17 cm + 10 cm
= 9 cm + 10 cm + 17 cm + 10 cm
= 46 cm
Perimeter of the given figure = 4.56 cm + 46 cm
= 50.56 cm
Hence the perimeter of the figure is 50.56 cm.
Answer : Sarah bought 4 first class tickets and 3 coach tickets.
Explanation :
We will call F the number of first class tickets and C the number of coach tickets.
Sarah had to buy a total of 7 tickets for 7 people.
Then F + C = 7 (Equation 1)
She used her total budget = $5,620
Then F*$1,150 + C*$340 = $5,620 (Equation 2)
F + C = 7
F = 7 - C
Now we can replace the value F in the equation 2
(7 - C)*$1,150 + C*$340 = $5,620
7*$1,150 - C*$1,150 + C*$340 = $5,620
$8,050 - C*$810 = $5,620
$8,050 - $5,620 = C*$810
$2,430 = C*$810
C = $2,430/$810 = 3 => number of coach tickets
F = 7 - C = 7 - 3 = 4 => number of first class tickets
Answer : Sarah bought 4 first class tickets and 3 coach tickets.
Verification
Replacing these values in equation 2
4*$1,150 + 3*$340 = $4,600 + $1,020 = $5620 => total budget