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Yanka [14]
3 years ago
6

Solve cotx + 2cotxsinx = 0 for 0 degrees < or equal to x < or equal to 180 degrees

Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

Step-by-step explanation:

cotx +2cotxsinx =0

cotx +2 \frac{cosx}{sinx}× sinx= 0

cotx +2 cosx= 0

\frac{cosx}{sinx}+ 2cosx= 0

\frac{cosx+ 2cosxsinx}{sinx} = 0

cosx +2 cosxsinx= 0

cosx ×(1+ 2sinx)= 0

Hence, either cosx= 0 that is x= 90° or 270°

or 1+ 2sinx = 0 that is sinx= \frac{-1}{2} i.e. x= 210° or 330°

As, 0° ≤x≤ 180° ∴ x= 90°

ikadub [295]3 years ago
7 0

Answer:

90°

Step-by-step explanation:

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3 years ago
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GrogVix [38]

Answer:

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Step-by-step explanation:

The liquid is being poured at a rate of 15 gallons per minute.

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Thus, the rate can be written as:

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We are told that one gallon is approximately 3.785 liters.

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3 years ago
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slamgirl [31]

Answer:

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Explain the converse of the Pythagorean theorem.

A.  

The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is less than the square of its hypotenuse.

<u>B.  </u>

<u>The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. </u>

C.  

The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.

D.  

The converse of the Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.

Step-by-step explanation:


8 0
4 years ago
Agent Bond is standing on a bridge, 13.5 m above the road below, and his pursuers are getting too close for comfort. He spots a
Scrat [10]

Answer:

Step-by-step explanation:

Eek!  Let's give this a go. Things we know:

acceleration of Bond in free fall is -9.8 m/s/s

velocity of the truck is 25 m/s

displacement Bond will travel when he jumps is -10 m

What we are looking for is the time it will take him to hit the top of the truck, knowing that the truck can travel from one pole to the next in 1 second.

Our displacement equation is

Δx = v₀t + 1/2at²

Filling in we have

-10=25t+\frac{1}{2}(-9.8)t^2

Simplifying we get

-10=25t-4.9t^2

This is a quadratic that needs to be solved however you personally solve quadratics.  When you do that, you find that the times it will take Bond to drop that displacement is either -.37 seconds or 5.47 seconds.  Many things in physics can be negative, like velocity and acceleration, but time NEVER will be.  So it takes Bond 5.5 seconds to drop to the roof of the moving truck.  That means that he needs to jump when the truck is between the 5th and the 6th poles away from him.

Good luck with this!

Cheers!

6 0
3 years ago
The diameter of a bicycle wheel is 2 feet.About how many revolutions does the wheel make to travel 2 kilometers?Explain.Hint 1 k
RSB [31]
We can work out the circumference of the wheel by using the equation

C = πd

C = π × 2
C = <span>6.28318530718
C = 6 feet

If 1km is 3280 feet, 2km is 6560 feet

6560 </span>÷ 6 = <span>1093.33333333 (recurring)
= 1093

Therefore the bike wheels rolls (approximately) 1093 times to cover 2km.
</span>
8 0
3 years ago
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