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pychu [463]
3 years ago
9

Find n (write in simplest radical form)

Mathematics
1 answer:
iragen [17]3 years ago
7 0
This is a special right triangle called a 30-60-90 triangle. It has a special property the relates the ratio of side lengths. That ratio is 1:\sqrt{3}:2

What does this mean? If you know the shortest side of a 30-60-90 triangle, you can find the longer leg by multiplying it by \sqrt{3}, and you can find the hypotenuse by multiplying the short leg by 2.

In the picture, note that the short leg of the triangle has a length of 9. Therefore, the long leg(or n) is simply 9\sqrt{3}
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The probability decreases.
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Find the value of x. Round to the nearest tenth.
Svet_ta [14]
Right triangle means:
sin, cos, and tangent

Here, we can see that:
sin 35° = \frac{x}{20}

Simplify.

20sin 35° = x

Multiply 20 by sin of 35 degrees.

x = 11.47(ROUNDED)

Answer: Choice C
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4 years ago
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Admission to a baseball game is $3.00 for general admission and $5.50 for reserved seats. The receipts were $3277.50 for 845 pai
a_sh-v [17]

Answer:

548, 297

Step-by-step explanation:

We can set this up as a system of equations. The first equation is for how many tickets were sold, which is x+y=845. The second equation is for the cost of the tickets, which is 3x+5.5y=3277.50. The best method for this problem (other than graphing) is elimination. First, we need to multiply one equation to get the opposite of one of the variables. The easiest one to do for this problem is x. The opposite of 3 is -3, so we have to multiply ALL of the first equation by -3. If you do this, then you get -3x-3y=-2535. Now, combine the equations:

3x + 5.5y = 3277.50

-3x  -3y    = -2535

________________

0x+2.5y=742.5

Now, isolate y by dividing both sides by 2.5. If you do this, you get y=297. Now, plug this in for the y in the first equation. Isolate x.

x+297=845

  -297  -297

__________

      0      548

x=548

Hope this helps!

7 0
2 years ago
The area of a rectangle is 27m and the length of the rectangle is 3m less then twice the width. Find the dimensions of the recta
Zielflug [23.3K]

Answer:

w = 4 1/2

l = 6

Step-by-step explanation:

w = width

2w-3 = length

A = lw

27 = w(2w-3)

27 = 2w² - 3w

subtract 27 from each side:

2w² - 3w - 27 = 0

factor:

(2w-9)(w+3) = 0

solve each for 'w':

w = 9/2

w = -3  (This answer can be discounted because a length cannot be negative)

width = 9/2

length = 2(9/2) - 3 which is 6

5 0
3 years ago
Which equations represent the data in the table?
klio [65]

Answer: A,D and E

Because of the table

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