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Lana71 [14]
2 years ago
11

Write an algebraic expression to represent the cost of a concert ticket,h,with a service charge of $6.75.

Mathematics
1 answer:
mina [271]2 years ago
3 0

Answer:

$6.75+h

Step-by-step explanation:

It's pretty simple. The cost of a concert ticket is unknown, which is h. And a service charge is $6.75. You are adding how much you would have to pay. That's why you add h+$6.75

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Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

1. Start point: By the 1st theorem,

x^2=25\cdot (49-25)=25\cdot 24=5^2\cdot 2^2\cdot 6\Rightarrow x=5\cdot 2\cdot \sqrt{6}=10\sqrt{6}.

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x^2=40\cdot (40+5)=4\cdot 5\cdot 2\cdot 9\cdot 5\Rightarrow x=2\cdot 5\cdot 3\cdot \sqrt{2}=30\sqrt{2}.

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4. West point from the previous: By the 1st theorem,

9^2=x\cdot 15\Rightarrow x=\dfrac{81}{15}=\dfrac{27}{5}=5.4.

5. West point from the previous: By the 2nd theorem,

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6. North point from the previous: By the 1st theorem,

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x^2=12.5\cdot (12.5+13.5)=12.5\cdot 26=25\cdot 13\Rightarrow x=5\sqrt{13}.

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12^2=x\cdot 30\Rightarrow x=\dfrac{144}{30}=4.8.

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6^2=1.6\cdot (x-1.6)\Rightarrow x-1.6=22.5,\ x=24.1.

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20^2=32\cdot (32-x)\Rightarrow 32-x=12.5,\ x=19.5.

12. South-east point from the previous: By the 2nd theorem,

18^2=x\cdot 21.6\Rightarrow x=15.

13. North point=The end.

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