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Fudgin [204]
2 years ago
10

Given the diameter of a circle is 17 1/2cm, find its area. (use π=22/7)​

Mathematics
1 answer:
Leokris [45]2 years ago
6 0

Step-by-step explanation:

a

area \: of \: circle = \pi{r}^{2}  \\  = 22 \div 7{ \times (35 \div 2)}^{2}  \\  = 3.14 \times 306.25 \\  = 961.625 {cm}^{2}

<h2>hope it helps.</h2><h2>stay safe healthy and happy...</h2>
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Solve the linear equation: 3.4 + 2(9.7 – 4.8x) = 61.2 What are the possible steps involved in solving this equation? Check all t
Damm [24]

x would equal -4

hope that helps

6 0
3 years ago
Read 2 more answers
SEE ATTACHED
fenix001 [56]
To me personally, the first bit f(g(x)) is easy and the domain is tricky. Let's try explain this.

A function takes an input number and returns an output number depending on the function. Look at f(x) = x+3, if we let the input number be 2 then we say that f(2) = 5. We could do f(π) to give us π+3 or even f(x²) to give us x² +3. The trick is to substitute the input into the function equation.

You have been asked to find f(g(x)). You know f(x) = \frac{1+x}{1-x}. Putting numbers in at this point would be easy (try work out f(2), you'll do it really quick) but you have to put in g(x).

f(g(x)) = \frac{1+g(x)}{1-g(x)}
we also know that g(x) = \frac{x}{1-x} so we can say that
f(g(x)) = \frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} } and that is f(g(x)) but the question requires that we simplify it so
\frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} }  =  \frac{ \frac{1-x}{1-x} +  \frac{x}{1-x} }{ \frac{1-x}{1-x} - \frac{x}{1-x} } =  \frac{ \frac{1}{1-x} }{ \frac{1-2x}{1-x} } =  \frac{1}{1-2x}

f(g(x)) = \frac{1}{1-2x}

Now for the tricky bit (for me, at least). The domain is the full set of values that you can 'put in to' the function and still get a real value out. So how do we work out what numbers 'break' the function? I like to use the fact that DIVIDING BY ZERO IS IMPOSSIBLE. What value of x can we put into the function to make it so the function is being divided by 0? i.e. 1-2x = 0 solve that and you have a value of x that isn't part of the domain.

This means the domain is all real numbers EXCEPT the solution to that equation. (Because if we put that value into f(g(x)) it's impossible to get a value out.)

[I know this was a lot to read, if you have any questions or don't get anything feel free to message me or leave a comment.]

5 0
3 years ago
You had some cookies and milk for breakfast this morning. The
Dominik [7]

Answer: 7 cookies

Step-by-step explanation:

232 - 57 = 175

175 / 25 = 7

5 0
3 years ago
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When two fair dice are rolled, what is the probability that at least one of the numbers will be even??
netineya [11]
The probability would be 1/4. The probability of rolling an even number on each die is 1/2. Since there are two dice you would multiply the probability of each die together. 1/2*1/2=1/4. The reason you would this is because you could roll two odd numbers that equal an even number such as 3 and 5.
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Fine the slope of the line that passes through (9,3) (2,2)
Charra [1.4K]
Just substitute it into the gradient formula which is: y2 - y1 / x2 - x1. So 2-3/2-9 = -1/-7 = 1/7
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3 years ago
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