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kodGreya [7K]
3 years ago
15

Cos x + square root 3 = -cos x

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

\cos x + \sqrt{3} = -\cos x\\2\cos x = -\sqrt{3}\\\cos x =-\frac{\sqrt{3}}{2}\\x=\frac{\pi}{6}

(the other solutions can be obtained by adding 2pi as many times as you want)

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Guidelines for the amount of supplementary nitrogen needed to grow winter wheat depend on the amount of nitrogen in the soil​ (a
Ierofanga [76]

The net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.

<h3>How to compute the net profit?</h3>

Case A:

Based on the information, the price of fertilizer will be:

= 0.25 × 100 × 50

= $1250

Price of wheat = 3.50 × 50 × 50

= $10500

Net profit = $10500 - $1250

= $9250

Case B:

Price of fertilizer will be:

= 0.50 × 70 × 50

= $1750

Price of wheat = 4.50 × 50 × 50

= $11250

Net profit = $11250 - $1750

= $9500

Therefore, the net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.

Learn more about net income on:

brainly.com/question/15530787

#SPJ1

3 0
1 year ago
ron wants to build a ramp with a length of 14 ft and an angle of elevation of 26° the height of the ramp is about 6.1 ft. what i
Bezzdna [24]

Answer:

12.58 feet.

Step-by-step explanation:

Ron wants to build a 14 ft. ramp with an angle of the rise of 26° and the height of the ramp is about 6.1 ft.

We have to find out the length of the base of the ramp.

Now, the ramp forms a right triangle with the base and the height and here, the hypotenuse of the triangle is the ramp itself i.e. 14 ft.

If the base length is x feet, then we can write using the trigonometry

\cos 26^{\circ} =  \frac{\textrm{Base}}{\textrm {Hypotenuse}} = \frac{x}{14}

⇒ x = 14 cos 26° = 12.58 feet. (Answer)

4 0
3 years ago
Less than, greater than
Kisachek [45]
Less than ,  more than 



6 0
3 years ago
Minh wants to build a rectangular deck that has an area of 165 square feet. The length of the deck will be 15 feet long.
Nataly_w [17]

Answer:11 feet


Step-by-step explanation: 165/15=11


3 0
3 years ago
Read 2 more answers
A newly discovered planet orbits a distant star with the same mass as the Sun at an average distance of 101 million kilometers.
Elden [556K]
Kepler's third law described the relation between semi-major axis (or average distance to the star) and the orbital period (how long it takes to complete one lap) as follows: 
                                           a^3 / p^2 = constant
In the case of our Solar system the constant is 1 
This means that, for this problem:
a^3 / p^2 = 1
p^2 = a^3
p = a^(3/2)
The semi major axis is given as 101 million km. We need to convert this into AU where 1 AU is approximately 150 million Km
101 million Km = (101x1) / 150 = 0.67 AU

Now, we substitute in the equation to get the orbital period as follows:
p = (0.67)^(3/2) = 0.548 earth years
3 0
3 years ago
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