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adelina 88 [10]
3 years ago
5

Write the ratios for sin X and cos X.

Mathematics
1 answer:
Schach [20]3 years ago
5 0

9514 1404 393

Answer:

  sin(X) = (√119)/12

  cos(X) = 5/12

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the relevant ratios.

  Sin = Opposite/Hypotenuse

  sin(X) = YZ/YX

  sin(X) = (√119)/12

__

  Cos = Adjacent/Hypotenuse

  cos(X) = XZ/XY

  cos(X) = 5/12

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There are 24 boys and 16 girls in a hall, each holding coins in their hand.
Dmitry_Shevchenko [17]

Answer:

27

Step-by-step explanation:

total=average ×no.

18×40=720 the no. of coins for all children

12×24=288 no. of coins for boys

720-288=432 for all girls

one girl, mean,divide 432 by 16= 27

5 0
3 years ago
when the wimen sells 90 oranges Rs160 with dicount of 20%,how many oranges she sell by Rs112 with profit of 20%​
Fynjy0 [20]

She sold 42 oranges with profit 20%

Step-by-step explanation:

The woman sells 90 oranges by RS.160

This price with discount of 20%

We need to find how many oranges she sell by Rs.112 with profit of 20%​

  • Selling price = cost price - discount ⇒ discount case
  • Selling price = cost price + profit ⇒ profit case

Assume that cost price of an orange is x

∵ She sells 90 oranges with Rs.160

- Find the selling price of 1 orange by dividing 160 by 90

∴ The selling price of an orange = \frac{160}{90}=\frac{16}{9}

∵ She sold them with discount 20%

∵ The cost price of an orange is x

- Find the 20% of x

∵ Discount = 20% × x = \frac{20}{100} × x = 0.2x

- To find the selling price subtract 0.2x from x

∴ The selling price = x - 0.2x

∴ The selling price of an orange = 0.8x

- Equate 0.8x by \frac{16}{9} to find x

∵ 0.8x = \frac{16}{9}

- Divide both sides by 0.8

∴ x = \frac{20}{9}

Assume that the number of oranges is y

∵ She sell y oranges for Rs.112 with profit 20%

∵ The cost price of an orange is \frac{20}{9}

- Find 20% of \frac{20}{9}

∵ Profit = 20% × \frac{20}{9} = \frac{20}{100}.\frac{20}{9}=\frac{4}{9}

- Add \frac{4}{9} to cost price to find the selling price

∴ The selling price of an orange = \frac{20}{9} + \frac{4}{9}

∴ The selling price of an orange = \frac{24}{9}

- To find y divide 112 by selling price of an orange

∵ y = 112 ÷ \frac{24}{9}

∴ y = 42

She sold 42 oranges with profit 20%

Learn more:

You can learn more about percentage in brainly.com/question/12284722

#LearnwithBrainly

4 0
3 years ago
What is the solution of the linear system of equations? please help
Mademuasel [1]
Sub for each other since both equals y
2x-3=y=2x+5
2x-3=2x+5
minus 2x oth sides
-3=5
false

no solution
(we can see that since slopes are same and y intercepts are differnt, the lines are paralell and therfor never intersect)



D. No solution
3 0
3 years ago
223x12 please tell me I'm in my last question and dieing.
svlad2 [7]

Answer:

2,676

Step-by-step explanation:

2,676=223x12

7 0
3 years ago
Someone please answer<br> 2.1 ( x + 5 ) = 7
tatuchka [14]
Since we have the 2.1 next to the parenthesis, we need to first distribute.

2.1 * x  &   2.1 * 5

2.1x + 10.5

Then we take that and add the equals seven to the problem to move onto the next step.

2.1x + 10.5 = 7

We must get the 2.1x alone, therefore subtracting the 10.5 as it will also be subtracted on the other side as well.

2.1x + 10.5 = 7
       - 10.5   -10.5

2.1x = -3.5

To get the x alone, we must divide both sides by 2.1, therefore removing the 2.1 from the x.

2.1x = -3.5
/2.1     /2.1

x = 1.66666666667

Hope this helped!

- Kat
5 0
4 years ago
Read 2 more answers
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