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stepladder [879]
3 years ago
14

If m ABC = 116 degrees what is ABC

Mathematics
1 answer:
kondaur [170]3 years ago
5 0
If I remember correctly it should be 58 good luck 
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The maximum value of 12 sin 0-9 sin²0 is: -​
jeka57 [31]

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \theta rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

                        12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)

And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0
2 years ago
i sell a jacket i bought for 200 dollars at a 20% increase. how much money will i make off of selling it
Ann [662]

Answer:

$40

Step-by-step explanation:

4 0
3 years ago
Am I right or wrong if so please tell me the answer
PolarNik [594]

Answer: I believe you are correct I got the same answer as you.

8 0
3 years ago
Read 2 more answers
Can someone please help me?
bulgar [2K]

Solution:

<u>Given:</u>

  • 18 = 2b

<u>Solve the equation by isolating the variable.</u>

  • => 18 = 2b
  • => 2b/2 = 18/2
  • => b = 9

The value of b is 9.

Hoped this helped!

6 0
3 years ago
Describe each Locus
eduard

Explanation:

1. The set of points 5 cm from the nearest point on a circle of radius 2 cm will be a circle with a radius 5 cm larger: a circle with a radius of 7 cm.

__

2. The set of points 6 in from the nearest point on a line will be a cylindrical shell 12 inches in diameter centered on the line.

If AB is a line segment, then the shell will have hollow hemispherical ends of radius 6 inches about the end points.

6 0
4 years ago
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