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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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Suzan bought some balloons and repacked them for sale. He threw away 76 balloons each. Each packet was sold at $86. After sellin
In-s [12.5K]

Answer:

188 balloons

Step-by-step explanation:

First, we have to divide the amount he collected altogether by the price of each balloon that he sold to find out how many balloons he sold:

9632 / 86 = 112 balloons

She sold 112 balloons.

We know that she threw 76 balloons away, therefore, the number of balloons she bought was:

112 + 76 = 188 balloons

4 0
2 years ago
Solve the simultaneous equations<br> x + 6y = 20<br> x + 3y = 14<br> x =<br> Y=
xxTIMURxx [149]

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

Add the equations and simplify:

-x = -8

x = 8

Plug x = 8 back into the first equation and solve for y:

8 + 6y = 20

6y = 12

y = 2

6 0
2 years ago
Read 2 more answers
2x+3y=6 convert from standard form to slope intercept , show all steps
shepuryov [24]
The answer is y = -2/3x + 2

3 0
2 years ago
Two of the sides of a triangle are 7 inches
igomit [66]

Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

8 0
3 years ago
An employment agency specializing in temporary construction help pays heavy equipment operation $138 per day and general laborer
ki77a [65]
<h3>17 heavy equipment operators and 14 general labourers were employed</h3>

<em><u>Solution:</u></em>

Let x = number of heavy equipment operators employed

Then,

31 - x = number of laborers employed

From given,

Pay of heavy equipment operators = $ 138 per day

Pay of general labours = $ 93 per day

Payroll was $3648

Therefore,

number of heavy equipment operators x Pay of heavy equipment operators + number of laborers employed x Pay of general labours = 3648

138x + 93(31 - x) = 3648

138x + 2883 - 93x = 3648

45x = 3648 - 2883

45x = 765

x = 17

Thus,

31 - x = 31 - 17 = 14

Therefore, 17 heavy equipment operators and 14 general labourers were employed

6 0
2 years ago
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