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rodikova [14]
3 years ago
6

Please help me. There is a Picture attached

Mathematics
1 answer:
Travka [436]3 years ago
5 0

Answer:

Perimeter of triangle is 38 inches

Step-by-step explanation:

Figure show triangle with sides of (21-x), (2x-3)and(x+5)

Here, The pool balls are arranged in triangle in symmetry.

Hence, Triangle is equilateral triangle.

For equilateral triangle,

Sides are equal in length (21-x) = (2x-3) = (x+5)

Take (2x-3) = (x+5)

2x-3=x+5

2x-x=5+3

x=8.

Now,Perimeter of triangle is summation of all of the sides.

= (21-x) + (2x-3) + (x+5)

= (21-8) + (2(8)-3) + (8+5)

= 13 + (16-3) +12

= 13+13+12

= 26+12

= 38 inches

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Find f(x) + g(x) when f(x) = 2x^2 + x and g(x) = 3x + 2
Artyom0805 [142]

Answer:

2x^2 + 4x+2

Step-by-step explanation:

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How do you do this question?
daser333 [38]

Answer:

B. 1/2

Step-by-step explanation:

\lim_{z \to 0} \frac{g(z)e^{-z}-3}{z^{2}-2z}

If we plug in 0 for z, we get 0/0.  Apply l'Hopital's rule.

\lim_{z \to 0} \frac{-g(z)e^{-z}+g'(z)e^{-z}}{2z-2}

Now when we plug in 0 for z, we get:

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4 0
2 years ago
7 freshmen, 9 sophomores, 8 juniors, and 8 seniors are eligible to be on a committee.
Setler79 [48]

Answer:

i)32C16

ii)1185408

<em><u>Explanation</u></em><em><u>:</u></em>

i)Total number of selected/eligible is 7+9+8+8=32

Total ways of selecting dance committee of 16 is

<em><u>3</u></em><em><u>2</u></em><em><u>C</u></em><em><u>1</u></em><em><u>6</u></em>

ii)Total ways of selecting 3 seniors from 8 is 8C3

and Total ways of selecting 6 juniors from 8 is 8C6

ways of selecting 2 sopho from 9 is 9C2

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now, total way of selection come to be

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6 0
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