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Vsevolod [243]
3 years ago
9

In the triangle below, what is the side opposite the 30 degree angle

Mathematics
1 answer:
Afina-wow [57]3 years ago
4 0
tan(30^o)= \frac{opposite }{adjacent} \  \ \ \  \to  \\ \\ opposite = adjacent*tan(30^o)=3* \frac{ \sqrt{3} }{3} = \sqrt{3}
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-7x+7y=-28<br> -3x-4y=-12
gtnhenbr [62]

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8 0
3 years ago
Smallest factor of 7 and 9 or 1/3 and 1/2
wel
For 7 and 9 is 1.
For 1/3 and 1/2 is 1.
That's your answer.
Or you mean.
7 and 9 is 63
1/3 and 1/2 is 1/6
4 0
3 years ago
We assume each month is equally likely to be a student’s birthday month. i) The number of ways ten students can have birthdays i
snow_lady [41]

Answer:

The solutions are correct

Step-by-step explanation:

i) In a year there is a total of 12 months, if ten students can have birthdays in 10 different months, the number of ways this can happen is:

Number of ways = 12 × 11 × 10 × . . . × 3 = \frac{12!}{2!}

ii) The number of ways 1 student can have birthday months = 12¹, The number of ways 2 students can have birthday months = 12¹ × 12¹ = 12². Hence:

The number of ways 10 students can have birthday months = 12¹⁰

iii) The probability that no two share a birthday month = \frac{12!}{2!*12^{10}} = 0.00387

7 0
3 years ago
A farmer saw some chickens and pigs in a field. He counted 51 heads and 172 legs. Determine
Sliva [168]

Answers:

16 chickens

35 pigs

========================================================

Explanation:

x = number of chickens

y = number of pigs

There are 51 heads, so x+y = 51 which solves to y = 51-x

2x = number of legs just from the chickens (2 legs per chicken)

4y = number of legs just from the pigs (4 legs per pig)

2x+4y = 172 legs total

----------

Plug in y = 51-x and solve for x.

2x+4y = 172

2x+4(51-x) = 172

2x+204-4x = 172

-2x+204 = 172

-2x = 172-204

-2x = -32

x = -32/(-2)

x = 16

Now use this to find y

y = 51-x

y = 51-16

y = 35

Since x = 16 and y = 35, this means there are <u>16 chickens</u> and <u>35 pigs</u>.

----------

Check:

x+y = 16+35 = 51 which works

2x+4y = 2*16+4*35 = 172 and that also works.

Both equations are confirmed.

3 0
3 years ago
Write an equation for the line that passes through the points (0, -6) and (-3, 0).
Mkey [24]
Answer : y=-2x-6

Explanation :
use y2-y1/x2-x1 to find the slope which is -2 and then multiply the slope by one of the points to get the formula
4 0
3 years ago
Read 2 more answers
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