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ICE Princess25 [194]
4 years ago
7

How do I solve for question number 6

Mathematics
1 answer:
Natali5045456 [20]4 years ago
5 0

Answer:

18 + 18\sqrt{3}

Step-by-step explanation:

The rectangle has been split into two right triangles. The hypotenuse of the triangle (the diagonal) is 18. The angle in the triangle is 30. All right triangles have unique relationships between their sides depending on the angles. This triangle must be a 30 - 60 - 90 triangle and its sides will be a scaled version of 1 - \sqrt{3} -2.

The side 2 correspond to the hypotenuse of length 18. 2*9 = 18 and so the scale factor is 9. To find the remaining sides, multiply each side length by 9 from 1 - \sqrt{3} -2.

It becomes 9 - 9\sqrt{3}-18. So the rectangle is 9 by 9\sqrt{3}.

The perimeter of the rectangle is 9 + 9 + 9\sqrt{3} + 9\sqrt{3}=18 + 18\sqrt{3}

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3 years ago
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MatroZZZ [7]
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7 0
4 years ago
The answer for this question
Mumz [18]

Answer:

3 47/50

Step-by-step explanation:

You have to make the denominators be the same, in this case, it would be easy to make it 100.

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3 0
3 years ago
1) 3 (x - y)² - 10 (x-y) + 8​
katovenus [111]

Answer:

(3x-3y-4)(x-y-2)

Step-by-step explanation:

Given expression:

3(x-y)^2-10(x-y)+8

Let u = (x - y):

\implies 3u^2-10u+8

To factor a quadratic in the form  ax^2+bx+c  find two numbers that multiply to ac and sum to b:

\implies ac=3 \cdot 8=24

\implies b=-10

Therefore, the numbers are: -6 and -4.

Rewrite b as the sum of these two numbers:

\implies 3u^2-6u-4u+8

Factor the first two terms and the last two terms separately:

\implies 3u(u-2)-4(u-2)

Factor out the common term (u - 2):

\implies (3u-4)(u-2)

Substitute back in u = (x - y):

\implies (3(x-y)-4)((x-y)-2)

Simplify:

\implies (3x-3y-4)(x-y-2)

3 0
2 years ago
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