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4 years ago

Multiply. ·−4/851/7

Mathematics

2 answers:

worty [1.4K]4 years ago

5 0

-4/8 * 5/1 * 1/7 = (-4 * 5 * 1) / (8 * 1 * 7) = -20 / 56 reduces to - 5/14

marysya [2.9K]4 years ago

3 0

20/56 or.. 5/14........

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Solve the equation sin2x = 3cos2x. The value of x that satisfies the equation if x lies in the second quadrant is °. The value o

faltersainse [42]

Answer:

$126\degree$

and

$126\degree$

respectively.

Step-by-step explanation:

The given trigonometric equation is

$\sin2x=3\cos2x$

We divide both sides by $\cos2x$ to get,

$\frac{\sin2x}{\cos2x}=3$

This implies that,

$\tan2x=3$

We take the inverse tangent of both sides to get,

$2x=\tan^{-1}(3)$

$\Rightarrow 2x=71.565$

$\Rightarrow x=35.7825$

$\Rightarrow x\approx 36\degree$

Since the tangent ratio has a period of $180\degree$ , another solution is

$x=180+36$

$x=216\degree$ to the nearest degree.

In the third quadrant,

$2x=180+71.565$

$\Rightarrow 2x=251.565$

$\Rightarrow x=125.7825$

$\Rightarrow x=126\degree$

The solutions are

$x=36\degree,126\degree,216\degree$

The value of x that satisfies the equation if x lies in the second quadrant is $126\degree$

The value of x that satisfies the equation if x lies in the third quadrant is $216\degree$

5 0

3 years ago

What is the definition of percent of change

Sonja [21]

Ratio of amount of change to original shown as a percent.

4 0

4 years ago

×/5 + 9 = 4 please solve the equation

iren [92.7K]

Assuming you are solving for x

do the opposite of PEMDAS. Isolate the x. Because of equal sign, what you do to one side, you do to the other.

x/5 + 9 = 4

x/5 + 9 (-9) = 4 (-9)

x/5 = 4 - 9

x/5 = -5

x/5(5) = -5(5)

x = -5(5)

x = -25

-25 is your answer for x

hope this helps

8 0

3 years ago

Read 2 more answers

*Click image*

ollegr [7]

Answer:

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Step-by-step explanation:

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3 years ago

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valentinak56 [21]