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icang [17]
2 years ago
10

Express sin M as a fraction in simplest terms

Mathematics
1 answer:
Debora [2.8K]2 years ago
8 0

Remember: SOH-CAH-TOA

Sine (of an angle!) = opposite / hypotenuse

We're looking at angle M here, to find the sine of M. Looking from angle M, the side that is opposite is NO and the hypotenuse is MO.

sin(M) = NO / MO = NO / 13

We do not know NO, but we can use the Pythagorean theorem to find NO because this is a right triangle.

Pythagorean theorem: a^2 + b^2 = c^2

---a and b are legs of the triangle, c is the hypotenuse

12^2 + b^2 = 13^2

144 + b^2 = 169

b^2 = 25

b = 5


NO = 5

sin(M) = NO / MO = 5 / 13

Answer: sin(M) = 5 / 13

Hope this helps!

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Answer:

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Step-by-step explanation:

Data provided in the question:

P(Two randomly selected children are girls) = \frac{1}{2}

now,

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the number of girls be 'x'

thus,

P(Two randomly selected children are girls) = \frac{^xC_2}{^nC_2} = \frac{1}{2}

also,

^nC_r = \frac{n!r!}{(n-r)!}

thus,

\frac{\frac{x!2!}{(x-2)!}}{\frac{n!2!}{(n-2)!}} = \frac{1}{2}

or

\frac{x(x-1)}{n(n-1)}=\frac{1}{2}

or

2x(x-1) = n(n-1)

now

for x = 3 and n = 4

i.e

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hence, the relation is justified

therefore,

The number of children are 4 out of which 3 are girls

3 0
3 years ago
Which expression is equivalent to x8 - 256?
lyudmila [28]
We have that
case <span>A)
(x – 2)(x + 2)(x</span>²<span> + 8)(x4 + 8) 
(x</span>²-4)(x² + 8)(x4 + 8)

case <span>B)
(x – 2)(x – 2)(x</span>²<span> + 4)(x4 + 16) 
(x-2)</span>²(x² + 4)(x4 + 16) 

case <span>C)
(x – 2)(x + 2)(x</span>²<span> + 4)(x4 + 16) 
(x</span>²-4)(x² + 4)(x4 + 16)
(x4 -16)(x4 + 16)
(x8-256)

case <span>D)
(x + 2)(x + 2)(x</span>²<span> + 4)(x4 + 16)
(x+2)</span>²(x² + 4)(x4 + 16)

the answer is
the option 
<span>C) (x – 2)(x + 2)(x2 + 4)(x4 + 16) </span>
8 0
4 years ago
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morpeh [17]

Answer:

They use the same triangle but in different sizes to make the big triangle.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLS HELP DUE SOON SHOW YOUR WORK!
Vladimir79 [104]

9514 1404 393

Answer:

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Step-by-step explanation:

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8 0
3 years ago
- 2x+2y = -4<br> 3х + Зу = -18<br> х =<br> y =
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Answer: x= -2  y= -4

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y substitute the given value of y into the equation x=2y

since all the equalities are true the ordered pair is the solution of the system

4 0
3 years ago
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