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Leno4ka [110]
3 years ago
12

Will give brainlst Have a nice day

Mathematics
1 answer:
victus00 [196]3 years ago
6 0

Answer:

Remember that the Pythagorean's theorem says that:

For a triangle rectangle with hypotenuse H and catheti A and B:

H^2 = A^2 + B^2

Here we also need to remember that the area of a square of side length L is:

area = L^2

Now let's solve this.

First, we start with two squares, one of side length a and the other of side length b.

Such that the complete area in the first image is:

area = a^2 + b^2

Now we draw two triangle rectangles with catheti a and b, and with hypotenuse c.

in step 3, we rotate those triangles in order to make a larger square, with side length c, with an area equal to:

area = c^2

Notice that we never added more shapes, so the area of the image did not change in all this process, then the initial area must be equal to the final area:

a^2 + b^2 = area = c^2

a^2 + b^2 = c^2

And remember that a and b are the catheti of the triangles, and c is the hypotenuse, then this is the Pythagorean's theorem.

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Answer:

i think maybe D

Step-by-step explanation:

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tyler has a rectangular garden measuring 12m by 20 m that he wants to split diagonally from corner to corner using a fence. how
adelina 88 [10]

Answer:

23.3

(or 4\sqrt{34} (let me know if you wanted this one and is you want it explained) lol)

Step-by-step explanation:

To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:

a^{2} +b^{2} =c^{2}

Insert values:

12^{2} +20^{2} =c^{2}

Solve for c:

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The fence needs to be approximately 23.3 m.

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Refer to the figure below to complete the following item.
Dmitrij [34]

Answer:

160

Step-by-step explanation:

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An easy question all wrong or unhelpful or no-work answers will be reported.
boyakko [2]
Substitution:
2x + (6(1/2x - 6)) = 19
2x + 3x - 36 = 19
5x - 36 = 19
+ 36
5x = 55
÷ 5
x = 11

y = (1/2 × 11) - 6
y = 5.5 - 6
y = -0.5

Elimination:
y = 1/2x - 6
- y
0 = 1/2x - 6 - y
+ 6
1/2x - y = 6

3x - 6y = 36
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(add)
5x = 55
÷ 5
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y = 5.5 - 6
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I hope this helps! Let me know if you need me to explain why I did some things :)

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