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Studentka2010 [4]
3 years ago
8

Solve of the following equations for x: 3x = 5

Mathematics
1 answer:
Effectus [21]3 years ago
6 0

Answer: 1.7

Step-by-step explanation:

5 divided by 3=1.666666667

1.6 and next 6 in line is over 5 so the 6 turns to a 7

3*1.7= 5.1 but when rounded 1 tells 5 to stay down so it = 5

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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
Tell whether the angles are complementary or supplementary. Then find the value of x.
Lady bird [3.3K]

Answer:

complementary x=5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Determine if the two triangles are congruent. If they are, state how you know.
KIM [24]

Answer:

Well i dont know what all the sides/angles are called but no they are not congruent.

Step-by-step explanation:

Congruent, means for the 2 objects, shapes, etc. to be exactly the same. If you look at the triangles, they are not the same shape of triangle.

7 0
3 years ago
76.8 of what is 40.32
bearhunter [10]
Hey there

Lets solve this question together,

Convert 76.8% to a decimal.

0.768 * x=40.32

Multiply 0.768 by x to get 0.768x.

0.768x=40.32

Multiply each term by 1 / 0.768 and simplify.

Cancel the common factor of 0.768.

x=40.32 / 0.768

Divide 40.32 by 0.768 to get 52.5

x=52.5
6 0
3 years ago
Help within 20mins<br> Pls
Sergio039 [100]
Yayqhqjqjkqkqkqkqkqkqkqnab
3 0
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