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Ugo [173]
3 years ago
15

1. Trevor saves 2/3 of the money he earns at his

Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Trevor will be saving less amount

<u>Step-by-step explanation:</u>

To know whether he will save less, more or the same amount, we need to find \frac{1}{4} \times \frac{2}{3} and then compare with \frac{2}{3}

Now, combine the fractions using the rule:

              \frac{a}{b} \times \frac{c}{d}=\frac{a \times c}{b \times d}

              \frac{1}{4} \times \frac{2}{3}=\frac{1 \times 2}{4 \times 3}=\frac{2}{12}=\frac{1}{6}

\frac{1}{4} \times \frac{2}{3} is less than the fraction \frac{1}{4}. Hence, concluding that Trevor will be saving less than \frac{2}{3} amount.

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Answer:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle ⇒ 3rd answer

Step-by-step explanation:

From the graph of the circle

∵ The center of the circle F is at the origin

∴ F is (0 , 0)

∵ The circle passes through point (7 , 0)

- The length of the radius of the circle is the distance between

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∴ r is the distance between points (0 , 0) and (7 , 0)

∴ r=\sqrt{(7-0)^{2}+(0-0)^{2}}=\sqrt{49}=7

∴ The length of the radius of the circle is 7 units

Let us find the distance between point (7 , -7) and the origin (0 , 0)

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  • If the distance is less than the radius, then the point is inside the circle

∵ The distance =  \sqrt{(7-0)^{2}+(-7-0)^{2}}=\sqrt{49+49}=\sqrt{98}=7\sqrt{2}

∵ r = 7

∵ 7\sqrt{2} > 7

∴ The distance is greater than the radius of the circle

∴ Point (7 , -7) lies outside the circle

The correct answer is:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle

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$ 75.

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From the information above,

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