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Nonamiya [84]
3 years ago
11

If θ is an angle in standard position and its terminal side passes through the point (5,-12), find the exact value of sinθ in th

e simplest radical form. need answer, please
Mathematics
1 answer:
katovenus [111]3 years ago
8 0

9514 1404 393

Answer:

  sin(θ) = -12/13

Step-by-step explanation:

The distance from the origin to the given point is ...

  r = √(5² +(-12)²) = √169 = 13

For point (x, y) ⇔ (r; θ), recognize that (x, y) = (r·cos(θ), r·sin(θ)). This translates to ...

  sin(θ) = y/r

  sin(θ) = -12/13

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Khan sold his cycle at loss of 8%.had He sold it for 240 more he would have gained 12%
denpristay [2]

Khan sold his cycle at loss of 8%.had He sold it for 240 more he would have gained 12%. Then cost price is $ 1200 and selling price is $ 1104

<h3><u>Solution:</u></h3>

Assume the cost price be "a"

So the selling price of cycle = a - 8% of a

\text { selling price }=a-\frac{8 a}{100}=\frac{23 a}{25}

Now according to given, had He sold it for 240 more he would have gained 12%

Selling price + 240 = cost price + 12% profit

\frac{23a}{25} + 240 = a + \frac{12a}{100}

\frac{23a + 6000}{25} = \frac{100a + 12a}{100}\\\\92a + 24000 = 112a\\\\20a = 24000\\\\a = 1200

So the cost price is $ 1200

Now the selling price = \frac{23a}{25} = \frac{23 \times 1200}{25} = 1104

So the selling price is $ 1104

7 0
3 years ago
How can i get better at maths
ivann1987 [24]

by consentration at class and think maths is easy solve ur question and see u willl have what u need

8 0
3 years ago
What two numbers multiply to 30 and add to -17
victus00 [196]

Answer:

-15 and -2

Step-by-step explanation:

Since a negative times a negative equals a positive, but when added, still stays a negative, the factors must both be negative.

Negative Factors of 30:

-30 + -1 = -31

-15 + -2 = -17

-10 + -3 = -13

-6 + -5 = -11

The two factors of 30 that add up to -17 are -15 and -2.

Hope this helps. Have a nice day.

4 0
3 years ago
Please help I still do not understand these questions
solniwko [45]

Answer:

m = 2/5

Step-by-step explanation:

easy

4 0
2 years ago
Two lines have the given equations. Use the LINEAR COMBINATION METHOD to solve.
Maurinko [17]

Using linear combination method, the solution to given system of equations are (-7, -15)

<h3><u>Solution:</u></h3>

Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated

Addition is used when the two equations have terms that are exact opposites, and subtraction is used when the two equations have terms that are the same.

<u><em>Given system of equations are:</em></u>

2x - y = 1  ---- eqn 1

3x - y = -6 ------ eqn 2

Subtract eqn 2 from eqn 1

2x - y = 1

3x - y = -6

(-) -------------

-x = 7

<h3>x = -7</h3>

Substitute x = -7 in eqn 1

2(-7) - y = 1

-14 - y = 1

y = -14 - 1 = -15

<h3>y = -15</h3>

Thus the solution to given system of equations are (-7, -15)

8 0
3 years ago
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