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Gekata [30.6K]
3 years ago
15

You have $37 when you get to the mall. you need to save $3 for bus fare to get back home. what inequality represents the amount

of money, m, you can spend?
Mathematics
1 answer:
amid [387]3 years ago
5 0

Answer:

m ≤ 34

Step-by-step explanation:

Total amount in hand when reaching the mall = $37

Amount needed for bus fare = $3

Amount that you are free to spend in the mall = 37 -3 = $34

This means you can spend upto a maximum of $34 in the mall. In other words you can spend $34 or less in the mall.

If m is the amount of money you can spend, then the inequality that represents it is m ≤ 34.

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In the diagram, point P is a point of tangency. Find the radius r of circle O.​
vlabodo [156]

Answer:

r = 12

Step-by-step explanation:

From the figure attached,

QP is a tangent to the circle O at the point P.

Therefore, by the property of tangency,

OP ⊥ QP

By applying Pythagoras theorem In right triangle QPO,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(OQ)² = (OP)² + (PQ)²

(25 + r)² = (35)² + r²

625 + r² + 50r = 1225 + r²

50r = 1225 - 625

50r = 600

r = 12

Therefore, r = 12 units is the answer.

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Step-by-step explanation:

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