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3 years ago

You need to know which is the better buy

Mathematics

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Kipish [7]3 years ago

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If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

8 0

3 years ago

What is the equivalent expression of y-0.32y

Dahasolnce [82]

Y - 0.32y = (1 - 0.32)y = 0.68y

5 0

3 years ago

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Tangent is positive in quadrants I and IV only.<br>True or False

zhannawk [14.2K]

Answer:

The statement is false

Step-by-step explanation:

we know that

$tan(x)=\frac{sin(x)}{cos(x)}$

The tangent function will be positive when the sine function and the cosine function have the same sign

In the first quadrant the tangent function is positive

In the third quadrant the tangent function is positive

The statement is false

6 0

3 years ago

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The circumference of the earth is about 25,000 miles. Approximately how far is it from any point on the earth's surface to its c

ELEN [110]

Since C = 2rπ

if the C of earth = 25000 miles

then the r = C ÷ (2π)
= 25,000 miles ÷ 2π
= 12500 ÷ π
≈ 3978.87358 miles

Since radius is a measure of the distance from the center to any point on the circle then that distance would be about 3978.8736 miles<span />

5 0

3 years ago

Graph the linear equation y=2.

MissTica

Answer:

Here is a picture of how you will graph this equation

Step-by-step explanation:

Hope this Helped

3 0

3 years ago

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