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Lady bird [3.3K]

3 years ago

5

Which quantity is best expressed as +5?

1 answer:

Softa [21]3 years ago

4 0

The answer is B. a profit of $5

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Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

vodka [1.7K]

Given:

$\sin x=-\dfrac{15}{17}$

x lies in the III quadrant.

To find:

The values of $\sin 2x, \cos 2x, \tan 2x$ .

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.

We know that,

$\sin^2 x+\cos^2 x=1$

$(-\dfrac{15}{17})^2+\cos^2 x=1$

$\cos^2 x=1-\dfrac{225}{289}$

$\cos x=\pm\sqrt{\dfrac{289-225}{289}}$

x lies in the III quadrant. So,

$\cos x=-\sqrt{\dfrac{64}{289}}$

$\cos x=-\dfrac{8}{17}$

Now,

$\sin 2x=2\sin x\cos x$

$\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})$

$\sin 2x=-\dfrac{240}{289}$

And,

$\cos 2x=1-2\sin^2x$

$\cos 2x=1-2(-\dfrac{15}{17})^2$

$\cos 2x=1-2(\dfrac{225}{289})$

$\cos 2x=\dfrac{289-450}{289}$

$\cos 2x=-\dfrac{161}{289}$

We know that,

$\tan 2x=\dfrac{\sin 2x}{\cos 2x}$

$\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}$

$\tan 2x=\dfrac{240}{161}$

Therefore, the required values are $\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}$ .

7 0

2 years ago

System of equation x 3y=9 y=x-1

olga2289 [7]

<span>x + 3y = 9
-x + y = -1
X = 3
Y = 2

</span>

8 0

3 years ago

For a project, Carlos must provide one cut-out paper model of each type of triangle: acute, right, and obtuse. He sketches each

koban [17]

I would most likely say 12.5 square units

3 0

2 years ago

Don’t need an explanation just the answer. Community takes too long lol

Nimfa-mama [501]

SOLUTION

Step 1: Find the area of the wall.

$\begin{gathered} A=l\times b \\ A=42\times25.5 \\ A=1071ft^2 \end{gathered}$

Step 2: Find the cost of wallpaper per square foot

$=\frac{total\text{ cost of wallpaper}}{Area\text{ of the wall}}$ $\begin{gathered} =\frac{771.12}{1071} \\ =0.72\text{ dollars} \end{gathered}$

The correct answer is B: $0.72

3 0

1 year ago

Please help me i need help

raketka [301]

Answer:

Step-by-step explanation:

dam harder than my 9th grade test coming up

5 0

2 years ago