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Anarel [89]
2 years ago
6

Rewrite tanx in terms of sinx and cosx

Mathematics
1 answer:
gulaghasi [49]2 years ago
7 0

\tan x = \dfrac{\sin x}{\cos x}

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Solve to find X. 1/5(x - 2) = 1/10 (x + 6)
LenaWriter [7]

Answer:

x = 10

Step-by-step explanation:

First, distribute:

\frac{1}{5} x - \frac{2}{5} =\frac{1}{10} x+\frac{6}{10}

Next, subtract \frac{1}{5}x from both sides:

-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}

(multiply \frac{1}{5}x by 2 to get common denominator, \frac{2}{10} x )

-\frac{2}{5} =-\frac{1}{10}x +\frac{6}{10}

Next, subtract \frac{6}{10} from both sides:

-\frac{2}{5} -\frac{6}{10} =-\frac{1}{10} x

(multiply \frac{2}{5} by 2 to get common denominator, \frac{4}{10} )

-\frac{10}{10} =-\frac{1}{10} x ⇒ -1=-\frac{1}{10} x

Next, multiply both sides by 10:

-10=-x

FInally, divide both sides by -1:

x = 10

3 0
2 years ago
Read 2 more answers
Find the solution of the system of equations.
avanturin [10]

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0
3 years ago
What can equal 628 by multiplying? These things can be soooo challenging these days.
myrzilka [38]

Answer:

314 * 2

Step-by-step explanation:

5 0
3 years ago
There are 180 calories in 3 scoops of vanilla ice cream. How many calories are in 7 scoops.
harkovskaia [24]

Answer:

420 calories

Step-by-step explanation:

180 / 3 = 60 calories

60 x 7 =420 calories

8 0
3 years ago
^^^^^^^^^^^^^*^^^^^^^^^
irina [24]

the answer is c...........

7 0
3 years ago
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