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VladimirAG [237]
2 years ago
14

If sina-Cosa= o find coseca.​

Mathematics
1 answer:
oee [108]2 years ago
6 0

Answer:

cscα=√2

Step-by-step explanation:

Problem: If sinα-cosα=θ find cscα

Solution:

sinα-cosα=θ

sinα=cosα

sinα=sin(90-α)

If α<90, then:

α=90-α

2α=90

α=45°

sin(45°)

1/sin(45°)

csc(45°)

√2

Therefore, cscα=√2 if sinα-cosα=θ

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2. The ratio of
denpristay [2]

Answer:

<h2>3500</h2>

Step-by-step explanation:

Given the  ratio of  the profit, cost of  materials and labour  in the production of

an article to be 5:7:13 respectively, total ratio = 5+7+13 = 25

If the cost of labour is x, the cost of material will be 840+x (since the  cost of materials is Le  840 more than that of  labour)  .

Let the total cost of producing the article be y.

Cost of labour = 13/25 * y = x

Cost of labour  = 13y/25 = x.................... 1

Cost of material = 7/25*y = 840+x

Cost of material = 7y/25 = 840+x ..................... 2

From 1, 13y = 25x

x = 13y/25 ................... 3

Substituting equation 3 into 2:

7y/25 = 840+x

7y/25 = 840+13y/25

collect the like terms:

7y/25 - 13y/25 = 840

-6y/25 = 840

-6y = 25*840

y = 25*840/6

y = 3,500

<em>Hence the total cost of producing the article is 3500</em>

4 0
3 years ago
Convert from feet to yards.<br><br> 6,249 feet = ___ yards
Mashcka [7]

Answer:

2083

Step-by-step explanation:

Every yard is 3 feet so divide 6243 ft by 3 to get your answer

\frac{6249}{3} = 2083

Hope I helped! :)

3 0
1 year ago
Read 2 more answers
What’s the answer to (-2)(-3)
PIT_PIT [208]

Answer:

+ 6

Step-by-step explanation:

(-2)·(-3) = + 6

(-)·(-) = +

4 0
3 years ago
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How do I do this problem with solution by elimination?<br> 2x+y=3<br> -2x+5y=-9
ddd [48]

Answer:

(2, -1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

2x + y = 3

-2x + 5y = -9

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Elimination</em>

  1. Combine equations:                    6y = -6
  2. Divide 6 on both sides:               y = -1

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define equation:                    2x + y = 3
  2. Substitute in <em>y</em>:                       2x - 1 = 3
  3. Isolate <em>y</em> term:                        2x = 4
  4. Isolate <em>y</em>:                                 x = 2
7 0
3 years ago
Which is equivalent to V4500° after it has been simplified completely?
Rufina [12.5K]

Answer:

Step-by-step explanation:

5 0
3 years ago
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