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maxonik [38]
3 years ago
15

Find a solution for the equation. Assume that all angles are a cute angles. tan(3Y +32) = cot(Y+32°)

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0

9514 1404 393

Answer:

  Y = 6.5°

Step-by-step explanation:

We know that tan(x) = cot(90°-x), so we could rewrite the equation as ...

  cot(90 -(3Y+32)) = cot(Y+32)

  58 -3Y = Y +32

  26 = 4Y

  6.5 = Y

One solution is Y = 6.5°.

_____

Additional solutions are found at integral multiples of 45° added to this value.

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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
Simplify the expression (-8/15)+(1/15)
Mice21 [21]
If it is fractions then the answer is -7/15. Think of as 8/15 - 1/15 except the answer is a negative number

4 0
3 years ago
What must m∠QPS be for PQRS to be a parallelogram?
solmaris [256]

Answer:

18

Step-by-step explanation:

5 0
3 years ago
How many different rectangles can you draw, that has an area of 28 cm sq. ? pls help me
jolli1 [7]

Answer:

You can draw three rectangles:

1- 28 * 1.

2- 14*2

3- 7*4

Step-by-step explanation:

We have a total area of 28. If we use only integer numbers, we can find all the divisors of 28. The possible rectangles will be organized with them, taking into account that the product of them, which means the area should be 28.

28 = 1*2*2*7

We can organize them as follows:

R1: 28 = 1*28

R2: 28 = 2*14

R3: 28 = 4*7

Finally, we can conclude that there are only three possibilities

1- 28 by 1.

2- 14 by 2

3- 7 by4

The perimeters will be:

Perimeter 1 = 2x1 + 2x28 = 58

Perimeter 2 = 2x2 + 2x14 = 32

Perimeter 3 = 2x4+2x7 = 22

3 0
3 years ago
Find the average rate of change for f(x) = x2 + 9x + 18 from x = −10 to x = 10. A) 3 B) 7 C) 9 D) 11
Sergeeva-Olga [200]

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ - 10, 10 ], thus

f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208

f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus

average rate of change = \frac{208-28}{10-(-10)} = \frac{180}{20} = 9

3 0
4 years ago
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