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Marianna [84]
3 years ago
13

Mariana wears her winter coat when the temperature is colder than -4 degrees Celsius

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

It is very cool that Mariana wears her winter coat when the temperature is colder than -4 degrees Celsius

that means when it is 10 degrees Celsius, she won't wear her winter coat

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7.6 cm<br> 3.7 cm<br> Find the area of the parallelogram.
Alik [6]

Answer:

7cm²

Step-by-step explanation:

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3 years ago
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
1 year ago
Hamburger: $6.00<br> Fries: $2.00<br> Tax: 7%<br> Tip: 20%<br><br> Total: ___
Salsk061 [2.6K]

Answer:

$10.27

Step-by-step explanation:

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3 0
3 years ago
Needing help stuck on this.
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Step-by-step explanat

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3 years ago
$800 principal earning 7%, compounded annually, after 4 years
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800(1+7)∧4
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3 years ago
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