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Afina-wow [57]
3 years ago
12

Can someone please help explain this?​

Mathematics
2 answers:
enot [183]3 years ago
8 0

Answer:

50%

Step-by-step explanation:

I'll make images to demonstrate it better. If the length of a rectangle is 6 units and the width is 4 units, it looks like the attached screenshot. This means that the current perimeter is 6 + 6 + 4 + 4, which equals 20.

If the sides are reduced by 50%, it means they are cut in half. The new rectangle looks like the other attached screenshot, and the new perimeter is 3 + 3 + 2 + 2, which equals 10.

The last sentence is asking what percent the new perimeter is of the old perimeter. 10 is 50% of 20, so the final answer is 50%.

Rama09 [41]3 years ago
7 0

Answer:

The sides are reduced by half so the perimeter is too

Step-by-step explanation:

6 and 4 become 3 and 2 in this new figure so the perimeter too is cut in half

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Join the center of the hexagon with the 2 base angles.

An equilateral triangle, with side length x, is formed.

(remark: a regular hexagon is made up of 6 equilateral triangles with equal length)

The height 2 \sqrt{3} forms 2 congruent right triangles with :

hypotenuse= x, side_1=x/2, and side_2= 2 \sqrt{3}.

From the pythagorean theorem we have:

x^{2} = ( \frac{x}{2} )^{2}+(2 \sqrt{3})^{2}

x^{2} =  \frac{ x^{2} }{4} +12

\frac{3}{4} x^{2} =12

x^{2} = \frac{12*4}{3}=4*4

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The area of the triangle is 1/2 * 4 * 2 \sqrt{3}=6.93 (mm squared)

The area of the hexagon is 6* the area of the triangle = 42 (mm squared)


Answer: a. 42 (mm squared)
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4 years ago
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3 years ago
Is 13/18 greater than 15/24
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Answer:

40%

Step-by-step explanation:

We already have our first value 20 and the second value 8. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

Step 1 ⇒ Y = 8/20

By multiplying both numerator and denominator by 100 we will get:

Step 2 ⇒ Y = 8/20 × 100/100 = 40/100

Step 3 ⇒ Y = 40

Finally, we have found the value of Y which is 40 and that is our answer.

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Answer:

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Step-by-step explanation:

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