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3 years ago

OP = ? A)3 B) 3.5 C) 4

Mathematics

2 answers:

Monica [59]3 years ago

8 0

Answer:

C. 4

Step-by-step explanation:

We have been given an image of two circles one inscribed inside the other. We are asked to find the length of segment OP.

Upon looking at our given diagram we can see that OP is the radius of smaller circle. We can also see that length of radius of circle P is 4.

Since the radii of a circle are congruent, therefore, the length of OP is 4 units and option C is the correct choice.

Aleksandr [31]3 years ago

6 0

OP = 4 because its a radius of the smaller circle which has a radius of 4 and all radii of the same circle are the same length.

C) 4

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Answer:

Step-by-step explanation:

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3 years ago

Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the

docker41 [41]

Answer:

15 miles

Step-by-step explanation:

Let $x$ be the miles in the circular park path, $t_{L}$ the time Louisa takes to finish and $t_{C}$ the time Calvin takes to finish both in hours.

Then $x$ , the longitude is equal to the velocity times the time used to finish. So

$x=5t_{L}$

$x=6t_{C}$

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

$t_{C}=t_{L}-0.5$

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

$5t_{L}=6t_{C}$

In this last equation replace $t_{C}$ with the other equation and solve:

$5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3$

With Louisa's time find x:

$x=5t_{L}\\ x=5(3)\\ x=15$

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3 years ago

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svet-max [94.6K]

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3 years ago

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