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e-lub [12.9K]
3 years ago
6

Find sin(7pie/4) using exact values

Mathematics
1 answer:
rewona [7]3 years ago
3 0
sin( \frac{ 7\pi }{4} )=-sin(2 \pi - \frac{ 7\pi }{4} )=-sin \frac{ \pi }{4} =- \frac{1}{ \sqrt{2} }
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What is the absolute value of -6
patriot [66]

Answer:

6

Step-by-step explanation:

Absolute value just means you make negatives into positives so it's just 6.

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3 years ago
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Which statement best describes why liquid water exists on Earth?
Vikki [24]

<u>Complete Question:</u>

Which statement best describes why liquid water exists on earth?

A. Earth experiences comet crashes and volcanic eruptions.

B. Earth experiences a strong magnetic field and lunar tides.

C. Earth has moderate temperatures and a strong gravitational force.

D. Earth has hydrogen bonds with the sun

<u>Correct Answer:</u>

Earth has a moderate temperature and strong gravitational force. This is the reason for existence of liquid water on Earth.

<u>Step-by-step explanation:</u>

Liquid water has the chemical formula of H₂O. So it is composed of mainly hydrogen and oxygen molecules with the present of different materials present in it based on the place it is located. As the water molecules are bonded by weak van der waals bond, it can be easily broken with the boiling point of 100 °C.

Thus, the existence of liquid water is possible in moderate temperature. Also the strong gravitational force of Earth helps to keep the liquid water stable in Earth. Thus, the strong gravitational force and the moderate temperature condition of Earth is responsible for liquid water existence on Earth.

8 0
3 years ago
Multiply then simplify radicals<br> 3^√9 × 3^√-24 &lt;-- are both cube root<br> √8y^5 × √40y^2
Gemiola [76]

Step-by-step explanation:

∛9 × ∛-24

∛-216

∛(-6)³

-6

√(8y⁵) √(40y²)

√(320y⁷)

√(64y⁶ × 5y)

8y³√(5y)

5 0
3 years ago
Given that the image below is not drawn to
Natali [406]

Answer:

what image i dont see an image

Step-by-step explanation:

4 0
2 years ago
When 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
vovangra [49]

Answer:

Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

Step-by-step explanation:

We need to simplify the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

First we will solve terms inside the bracket

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

Converting mixed fraction 1\frac{1}{2} y into improper fraction, we get: \frac{3}{2}y

Replacing the term:

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)

Now, combine like terms

2(36x-15x-90y+40y-180)\\2(21x-50y-180)

Now, multiply all terms with 2

42x-100y-360

So, Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

3 0
3 years ago
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