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Andrei [34K]
3 years ago
13

Which sign makes the statement true?

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0

Answer:

Less than sign

Step-by-step explanation:

3/4 is greater than 3/5 because its 3 out of 4 making it 75% and 3/5 is 60%

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The square of a number minus six times a number equals negative five.
olga_2 [115]

Answer:

x² - 6x = -5

x = {1, 5}

Step-by-step explanation:

The square of a number minus six times a number equals negative five.

x² - 6x = -5

Add 5 to both sides

x² - 6x + 5 = 0

Factor

(x - 1)(x - 5) = 0

x = {1, 5}

3 0
3 years ago
Read 2 more answers
2/3 - 3/7<br><br> explain, please...
Artemon [7]
Find a common denominator
the common denominator of 7 and 3 is 21
2/21 - 3/21
change the numerator
14/21 - 9/21 =5/21
7 0
3 years ago
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Find the exact value of sin(cos^-1(4/5))
boyakko [2]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2762144

_______________


Let  \mathsf{\theta=cos^{-1}\!\left(\dfrac{4}{5}\right).}


\mathsf{0\le \theta\le\pi,}  because that is the range of the inverse cosine funcition.


Also,

\mathsf{cos\,\theta=cos\!\left[cos^{-1}\!\left(\dfrac{4}{5}\right)\right]}\\\\\\&#10;\mathsf{cos\,\theta=\dfrac{4}{5}}\\\\\\ \mathsf{5\,cos\,\theta=4}


Square both sides and apply the fundamental trigonometric identity:

\mathsf{(5\,cos\,\theta)^2=4^2}\\\\&#10;\mathsf{5^2\,cos^2\,\theta=4^2}\\\\&#10;\mathsf{25\,cos^2\,\theta=16\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\&#10;\mathsf{25\cdot (1-sin^2\,\theta)=16}

\mathsf{25-25\,sin^2\,\theta=16}\\\\&#10;\mathsf{25-16=25\,sin^2\,\theta}\\\\&#10;\mathsf{9=25\,sin^2\,\theta}\\\\&#10;\mathsf{sin^2\,\theta=\dfrac{9}{25}}&#10;

\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{9}{25}}}\\\\\\&#10;\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{3^2}{5^2}}}\\\\\\&#10;\mathsf{sin\,\theta=\pm\,\dfrac{3}{5}}


But \mathsf{0\le \theta\le\pi,} which means \theta lies either in the 1st or the 2nd quadrant. So \mathsf{sin\,\theta} is a positive number:

\mathsf{sin\,\theta=\dfrac{3}{5}}\\\\\\&#10;\therefore~~\mathsf{sin\!\left[cos^{-1}\!\left(\dfrac{4}{5}\right)\right]=\dfrac{3}{5}\qquad\quad\checkmark}


I hope this helps. =)


Tags:  <em>inverse trigonometric function cosine sine cos sin trig trigonometry</em>

3 0
3 years ago
Read 2 more answers
What is the slope and Y intercept of the equation X=10
xenn [34]

Answer:

Slope is undefined and y int does not exist

Step-by-step explanation:

x=10 means it will be a vertical line where x= 10 so the slope is undefined and since it is perfectly vertical, it will never touch the y axis.

5 0
2 years ago
Multiply the polynomials.
Nonamiya [84]

Answer:

The answer to your question is: letter A

Step-by-step explanation:

      (x + 3) (3x² + 8x + 9) = 3x³  + 8x² + 9x + 9x² + 24x + 27

                                       = 3x³ + 17x² + 33x + 27              Simplify like terms      

Α. 3x3 + 17x2 + 33x + 27

Β. 3x3 + 17x2 – 15x + 27

C. 3x2 + x2 + 33x+ 27

D. 3x3 + 17x2 + 33x - 27

​

7 0
3 years ago
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