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2 years ago

The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

Mathematics

1 answer:

Fantom [35]2 years ago

5 0

Answer:

108 ft²

Step-by-step explanation:

For the polygon on the left, we are given the length of one side (3 ft) and the total area (27 ft²). With this information, we can determine the length of the other side - 9 ft. I found this by dividing 27 ft² by 3 ft, giving me the final result of 9 ft.

Next, we have to find the other side of the polygon on the <em>right</em> so we can ultimately determine its area. It looks like there is a scale factor of 2 between the two polygons, since 3 × 2 = 6. We know that the bottom side of the left polygon is 9, so multiplying 9 by 2 should give us the bottom side of the polygon on the right. 9 × 2 = 18.

Now, we have the side lengths for the polygon on the right and can determine its area. What is 6 ft × 18 ft? Well, the answer is 107 ft², and this is the answer to the question.

Hopefully that's helpful! :)

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3 years ago

4/10=x/1 Need help thx

alexdok [17]

Answer:

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Step-by-step explanation:

4/10 = x/1

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3 years ago

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Mrac [35]

Answer:

$5(x^2+4x)=7$

$5(x^2+4x+4)=7+20$

$(x+2)=\pm\sqrt{\frac{27}{5}}$

Step-by-step explanation:

we have

$5x^2+20x-7=0$

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$5x^2+20x=7$

step 2

Factor 5 left side

$5(x^2+4x)=7$

step 3

Complete the square

$5(x^2+4x+2^2)=7+2^2(5)$

$5(x^2+4x+4)=7+20$

$5(x^2+4x+4)=27$

step 4

Rewrite as perfect squares

$5(x+2)^2=27$

step 5

$(x+2)^2=\frac{27}{5}$

$(x+2)=\pm\sqrt{\frac{27}{5}}$

$(x+2)=\pm\frac{3\sqrt{15}}{5}$

step 6

$x=-2\pm\frac{3\sqrt{15}}{5}$

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3 years ago

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A density graph for all of the possible times from 50 seconds to 300 seconds

vazorg [7]

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Then it can be used to find the the probability of a time in the range from 50 seconds to 300 seconds.

From all the given option only option D gives the interval which is lies in the above range.

i.e A density graph for all of the possible times from 50 seconds to 300 seconds can be used to determine the probability of a time from 75 seconds to 250 seconds.

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2 years ago

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3 years ago

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