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Ugo [173]
3 years ago
14

Find the area of the segment of a circle whose radius is 3cm and subtends an angle of 2/3π​

Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0

\bf \textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left(\cfrac{\pi \theta }{180}-sin(\theta ) \right)~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &degrees\\ \cline{1-2} r=&3\\ \theta =&\stackrel{radians}{\frac{2\pi }{3}}\\ &\stackrel{degrees}{120} \end{cases} \\\\\\ A=\cfrac{3^2}{2}\left(\cfrac{\pi (120) }{180}-sin(120^o) \right)\implies A=\cfrac{9}{2}\left(\cfrac{2\pi }{3}-\cfrac{\sqrt{3}}{2} \right) \\\\\\ A \approx \cfrac{9}{2}(1.23)\implies A\approx 5.535

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oee [108]
Remember the chain rule.
L(x)=f(g(x))

L'(x)=f'(g(x))g'(x)

take the derivative of f(g(x)). just treat them like they are variables. so you get:

h'=f'(g(x))g'(x)

now plug in your x value and evaluate:

h'(1)=f'(g(1))(g'(1))


substitute in values that you know and evaluate again
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3 0
3 years ago
What is the output, or y-value, when you input x = 2 into the function:<br> y = 2x3 − 6x.
ahrayia [7]
First, put fill in the X's with 2.
y = 2*2*3 - 6*2

Next, multiply.
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5 0
3 years ago
Read 2 more answers
A part selected for testing is equally likely to have been produced on any one of six cutting tools.
JulijaS [17]

Answer:

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Step-by-step explanation:

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c) probability of selecting from any tool is 16.7% so probability of selecting from 3 or 5 = 16.67% + 16.67% = 33.3%

d) if the part is not from tool 4 then its from tool 1, or tool 2 or tool 3 or tool 5 or tool 6 therefore its

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8 0
3 years ago
Please help! my friend needs help with his grade 11 math homework! Thank you
likoan [24]

Answer:

a) the first negative number will be -1

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Step-by-step explanation:

3 0
3 years ago
Frank ate 12 pieces of pizza and Dave ate 15 pieces. “I ate
kobusy [5.1K]

Answer:

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Step-by-step explanation:

So If Dave ate ¼ more than Frank, you would need to divide the denominator by the amount of pizzas, so if 12÷4 is 3 he ate three more pizzas than Frank. If we do the same for Frank, ⅕ or 15÷5=3

So the correct answer would be Frank because 12 is less than 15

My apologies if this wasnt explained very well

7 0
4 years ago
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