Which of the following is the equation for a circle with a radius of r and center at (h,k)

1 answer:

3 0

Equation for a circle with radius r and centre at (h,k) is given by -

${(x - h)}^{2} + {(y - k)}^{2} = {r}^{2}$

Hope it helps you ! :)

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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:

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

7 0

2 years ago

A regular pentagon ABCDE is shown <br><br><br> Work out the size of X

nikdorinn [45]

The sum of the angles in a pentagon is 540°.

This means that each angle is 108°.

Inside you pentagon, a triangle is drawn. This triangle is isosceles, because the corners are on the points of the regular pentagon. You know that angle C is 108°.

Angles in a triangle add up to 180°.

B and D will be the same size as this is isosceles.

180°-108° = 72°

This is B and D. You only need one of these, so you divide by 2.

The answer is 36°.

Hope this helps :)

7 0

3 years ago

Read 2 more answers

gizmo_the_mogwai [7]

Answer:

triangle EFD

Step-by-step explanation:

5 0

3 years ago

Whats 1 fourth of 12

chubhunter [2.5K]

If you are asking what is 1/4 of 12, it would be 3.