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Len [333]
2 years ago
5

Two gardens are being fenced in. Both gardens will require the same amount of fencing (both gardens have the same perimeter in m

eters). One garden is in the shape of a square and the other is in the shape of an equilateral triangle. Each side of the triangle is 4 meters longer than each side of the square. Find the dimensions of the garden.

Mathematics
1 answer:
Naily [24]2 years ago
3 0

Answer: We know:

the triangle gardern(garden A) and the square garden(garden B) have the same perimeter.

This may sound obv, but it's important: garden A has 1 less side then garden B, which is why it can have longer sides but the same perimeter.

So side A1 + side A2 + side A3 = side B1 + side B2 +  side B3 + side B4.

A1 + A2 + A3 = B1 + B2 + B3 + 15(the extra length on the triangle sides)

Since B is a square, B = 15 m by 15 m.

I don't know enough about triangle to put the dementions, but it's an equilateral triangle so the sides are 20 m each.  Hope that helps! :)

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15 POINTS<br><br> Please do #53 and show work
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Answer: 511

Step-by-step explanation:

53.

For this problem simply plug in the numbers: 1 through 9 for n

the n=1 on the bottom represents the start and the 9 at the top represents the end

and the 2^n-1 represents the rule

solving for a1: plugging in one for n

a1=2^1-1

a1=1

a2=2^2-1

a2=2

a3=2^3-1

a3=4

a4=2^4-1

a4=8

a5=2^5-1

a5=16

a6=2^6-1

a6=32

a7=2^7-1

a7=64

a8=2^8-1

a8=128

a9=2^9-1

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after finding all these values add them all together and you should get your answer

1+2+4+8+16+32+64+128+256

=511

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3 years ago
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Gnesinka [82]

Answer:

B. 10

Step-by-step explanation:

These are vertical angles meaning they are also equal.

4x-12=2x+8\\2x-12=8\\2x=20\\x=10

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Step-by-step explanation:

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The base of a rectangle is 13 centimeters longer than the height.If the perimiter is 58 centimeters find the base and the height
Yuri [45]

Answer:

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Step-by-step explanation:

We know that the base of a rectangle is 13 cm. longer than the height and the perimeter is 58 cm. Here is how we would set up the problem:

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4x + 26 = 58

       -26   -26

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So, the base is 8 cm.

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So, we know the base (in total) is 16 cm. Now we do 58-16=42. Now we divide 42 divided by 2 = 21 cm.

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