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Marta_Voda [28]
3 years ago
11

An earthquake can be felt in a circular pattern from the epicenter. If the equation of this pattern is x2 + y2 = 2500, how many

miles away from the epicenter can you feel the effects of the earthquake?
Mathematics
2 answers:
babymother [125]3 years ago
6 0

Answer:

<h2>We can feel the effects of the earthquake 50 miles from the epicenter.</h2>

Step-by-step explanation:

The given expression is

x^{2} +y^{2}=2500

Which represents a circumference. So, if this circunference represents the pattern of an earthquare, that means the radius of such circumference represents the miles away from the epicenter.

The given expression is the explicit form of a circumference, like this

x^{2} +y^{2}=r^{2}

Where r is the radius.

So, in this case,

r^{2}=2500\\ r=\sqrt{2500}\\ r=50

Therefore, we can feel the effects of the earthquake 50 miles from the epicenter.

kondor19780726 [428]3 years ago
5 0
The radius of the circle ( which is the same as the distance from the epicenter) = square root of 2500  which is 50

Answer is 50 miles.
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The complement of an angle measures 20 more than the angle. Find the number of degrees in the angle
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Plastic edging for flower beds comes in 50-foot rolls and costs $6.85 per roll. What is the cost to completely edge two rectangu
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Answer:

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Step-by-step explanation:

Given,

dimension of rectangular flower bed :

length = 40 ft

width = 15 ft

dimension of circular flower bed :

diameter = 16 ft

cost of each roll = $6.85

We need to find the cost of roll used to cover completely rectangular and circular flower bed.

Solution,

Firstly we will find out the perimeter of the rectangular flower bed.

Since we know that the perimeter of rectangle is equal to twice the sum of its length and width.

framing in equation form, we get;

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Again we will find out the circumference of the circular flower bed.

And we know that the circumference of the circle is equal to pi multiplied with the diameter.

framing in equation form, we get;

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Now the total edge for covering is equal to the sum of the perimeter of two flowerbed and circumference of one circular flower bed.

Total edge = 220+50.24=270.24\ ft

Here also given that Plastic edging for flower beds comes in 50-foot per roll.

So we will find out the number of rolls required for edging.

For this we will use the unitary method.

50 ft   = 1 roll

270.24 ft = number of roll

\therefore number\ of\ rolls = \frac{270.24}{50}=5.40

so we can say that there will be 6 rolls required for edging.

also given the cost of 1 roll is $6.85.

So the cost of 6 rolls = 6\times6.85=\$41.10

Hence The cost of edging the flower beds with roll is $41.10.

6 0
2 years ago
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