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Xelga [282]
3 years ago
15

Find the missing length indicated. Leave your answer in simplest radical form.

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Answer:

18\sqrt{3}

Step-by-step explanation:

The hypotenuse of the 45-45-90 triangle is \sqrt{2}(9\sqrt{2} ) = 18

The hypotenuse of the 45-45-90 triangle is also the shorter leg of the

30-60-90 triangle

The longer leg = x = shorter leg times \sqrt{3\\} = 18\sqrt{3\\}

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DochEvi [55]

Answer:

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4 0
3 years ago
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Martin puts two bowls of fruit out for his friends.The bowl of grapes has 9 green grapes and 16 red grapes. The bowl of tangerin
Anarel [89]

Answer:

27/250

Step-by-step explanation:

P(a green grape and a seedless tangerine)

=P(green grape) x P(seedless tangerine)

The bowl of grapes has 9 green grapes and 16 red grapes.

P(green grape)=green grapes / total grapes

=9/(9+16)

=9/25

The bowl of tangerines has 7 seeded and 3 seedless tangerines.

P(seedless tangerine)=seedless / total

=3/(3+7)

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P(a green grape and a seedless tangerine)

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8 0
4 years ago
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Write an expression that represents the area of the polygon shown below?
Alisiya [41]

Answer:

A = 5x + 12 (See explanation!)

Step-by-step explanation:

So, this "polygon" is really just two rectangles combined! With that in mind, remember that the area of a rectangle is base*height. Now, apply that to the problem. We know that the total length of the bottom base is 7, and 5 is the length of the second rectangle's base, so the 1st rectangle's base must be 7 - 5 = 2. The area of the 1st rectangle is then 6*2 = 12. The second rectangle's area is 5*x. So, if the area of the polygon is the sum of the two rectangles' areas, the expression you could use is:

5*x + 6* 2 = A

Simplify/Rewrite:

A = 5x + 12

(A is area, x is the unknown length in the diagram)

Hope this helps!

6 0
3 years ago
32(4x – 1) – 3x = 54 – (x + 2)
Blababa [14]

Answer:

Step-by-step explanation:

 x = 2/3= 0.667

7 0
4 years ago
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<img src="https://tex.z-dn.net/?f=5x%20%7B%7D%5E%7B2%7D%20%20%2B%202x%20-%203%20-%20px%20-%20p" id="TexFormula1" title="5x {}^{2
Jlenok [28]

Answer:

5x² + 2x - 3 - px - p

= 5x² + 5x - 3x - 3 - p(x + 1)

= 5x(x + 1) - 3(x + 1) - p(x + 1)

= (x + 1)(5x - 3 - p)

5 0
3 years ago
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