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Lesechka [4]
3 years ago
5

Given sinx=4//5 and cosx=35 .

Mathematics
1 answer:
Maslowich3 years ago
5 0

Given : Sin x = 4/5 and Cos x = 35 = 35/1

tan x = \frac{Sin x }{Cos x}

tan x = \frac{4/5 }{35/1}

tan x = \frac{4}{5}\div \frac{35}{1}

During the division of fractions flip the 2nd fraction after division sign and change the middle division sign to multiplication

tan x = \frac{4}{5}\times \frac{1}{35}

tan x = \frac{4\times 1}{5\times 35}

tan x = \frac{4}{175}


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The inequality below represents h, the number of hours Ellie need to work this week to earn at least $360 by the end of the mont
Gnom [1K]

Answer:

The answer to your question is 10 hours.

Step-by-step explanation:

Inequality                            12h + 240 > 360

Solve the inequality as if it was an equation

                                           12h > 360 - 240

                                           12h > 120

                                           h > 120 / 12

                                           h = 10 hours

Let's evaluate some number of hours

If h = 3                        12(3) + 240 > 360

                                  36 + 240 > 360

                                          276 > 360     Incorrect, she needs to work more

                                                                 than 3 hours

If h = 5                         12(5) + 240 > 360

                                   60 + 240 > 360

                                           300 > 360     Incorrect, she needs to work more

                                                                 than 5 hours

If h = 7                          12(7) + 240 > 360  

                                    84 + 240 > 360

                                          324 > 360      Incorrect she needs to work more

                                                                 than 7 hours

If h = 11                          12(11) + 240 > 360  

                                     132 + 240 > 360

                                              372 > 360   Correct, she needs to work at least

                                                                   10 hours.                                              

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If M∠ ABD =64 and M∠CBD=30 then M∠ABC= <br> Need help
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Answer:

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Step-by-step explanation:

∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:

\displaystyle m\angle ABD = m\angle ABC + m\angle CBD

Substitute in known values:

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And subtract. Hence:

\displaystyle m\angle ABC = 34^\circ

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