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AlladinOne [14]
3 years ago
7

I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would

appreciate it!

Mathematics
1 answer:
krok68 [10]3 years ago
8 0
Answer: I don’t have my calculator on me but I’ll explain

Step by step: the shape is a cone and a sphere so the volume of a sphere is 4/3 πr^3 but because it’s half a sphere, divide by 2 and the volume of a cone is 1/3h πr^2

Sphere= 4/3 π(10)^3 (plug that in ur calculator) then divide by 2

Cone= 1/3(24) π(10)^2
Then add them together
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Step-by-step explanation:

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John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper
Setler79 [48]

Answer:

f(x)=\dfrac{9}{5}x+32 converts Celsius to Fahrenheit.

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}

Let the expression for the function be

f(x)=ax+b

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

68=20a+b\\ \\86=30a+b

Subtract these two equations:

86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}

Substitute it into the first equation:

68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32

So,

f(x)=\dfrac{9}{5}x+32

This is the function which converts Celsius to Fahrenheit.

And function

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

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—— ——
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