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3 years ago

What is the expression?

Mathematics

2 answers:

makkiz [27]3 years ago

6 0

Answers:

The expression is 1.8C+32
The given Celsius temperature converts to 113 degrees Fahrenheit

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Explanation:

C = temperature in Celsius

1.8C = multiply C by 1.8

1.8C+32 = add on 32

The expression 1.8C+32 is the first part of the answer.

This represents the temperature in Fahrenheit.

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Now replace C with 45 and use the order of operations (PEMDAS) to simplify

1.8*C + 32

1.8*45 + 32

81 + 32

113

Therefore, 45 degrees Celsius converts to 113 degrees Fahrenheit.

Klio2033 [76]3 years ago

5 0

Answer:

F=1.8C+32

113°F

Step-by-step explanation:

F=1.8C+32

F=1.8(45)+32

F=81+32

F=113

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Answer:

$dV=542.9 cm^{3}$

Step-by-step explanation:

Let's start with the equation of the volume of a cylinder:

$V=\pi r^{2}*h$

Where:

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h is the high of the cylinder (h = 60 cm)

We can us partial derivatives to find the differential of this volume. So we will have:

$dV=\frac{\partial V}{\partial r}dr+\frac{\partial V}{\partial h}dh$ (1)

Now:

$\frac{\partial V}{\partial r}=2\pi r*h=2\pi 12*60=4523.9 cm^{2}$

$\frac{\partial V}{\partial h}=\pi 12^{2}=452.4 cm^{2}$

dr is a differential of the radius, so in our case it is 0.1 cm and dh, differential of the high, is 0.1*2 cm. We multiply by 2 because we need to consider the top and the bottom of the cylinder.

Now we just need to put all of this definitions in the equation (1).

$dV=4523.9*0.1+452.4*0.2=542.9 cm^{3}$

I hope it helps you!

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