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oksian1 [2.3K]
3 years ago
15

Find all the real square roots of

c{-9}{16} " alt=" \frac{-9}{16} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0
Since -\dfrac9{16} is negative, it doesn't have any real roots.
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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta
lapo4ka [179]

Answer:

\cos{\theta} = \frac{\sqrt{15}}{4}

Step-by-step explanation:

For any angle \theta, we have that:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

Quadrant:

0 \leq \theta \leq \frac{\pi}{2} means that \theta is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1

\frac{1}{16} + (\cos{\theta})^{2} = 1

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Since the angle is in the first quadrant, the cosine is positive.

\cos{\theta} = \frac{\sqrt{15}}{4}

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3 years ago
What is a solution to the equation 1/8=2/5•x
sleet_krkn [62]
The answer is: x=5/16
3 0
3 years ago
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What shape is created by the rotation and what is the
zlopas [31]

Answer:

<u>Option D: A cylinder with a circumference of about 50 units​</u>

Step-by-step explanation:

The rest of the question is the attached figure.

The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr

===================================================

Given:  the perimeter of the square = 32

perimeter of a square is four times the length of its side

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∴ C = 50.26548 ≈ 50

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4 0
3 years ago
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SOVA2 [1]
If n is ten then the expression would change to 
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3 years ago
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