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The diagram shows a 140° sector in a circle of radius 8 units.
140°
8
What is the approximate area of the shaded sector?
0 25 square units
O 67 square units
O
78 square units
156 square units
Answers
Answer:
[tex] \huge \boxed{ \red{ \boxed{c)78 \: units ^{2} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:circlePEMDAStips and formulas:[tex] \rm \:A_{shaded}= \dfrac{\theta}{360} \times \pi {r}^{2} [/tex]let's solve:[tex] \sf sustitute \: the \: value \: of \: \theta \: and \: r : \\ A_{shaded} = \frac{140}{360} \times \pi \times {8}^{2} [/tex][tex] \sf simpify \: squre : \\ A_{shaded} = \frac{140}{360} \times \pi \times 64[/tex][tex] \sf simpify \: fraction: \\ A_{shaded} = \frac{7}{18} \times \pi \times 64[/tex][tex] \sf reduce \: 64: \\ A_{shaded} = \frac{7}{ \cancel{ \: 18} \: ^{9} } \times \pi \times \cancel{ 64} \: ^{32} \\ A_{shaded} = \frac{7}{9} \times \pi \times 32\\ A_{shaded} = \frac{224\pi}{9} [/tex][tex]\large A_{shaded}\approx 78 \: square \: units [/tex]
Related Questions
What is 5/3s+19/15= -3/5?
Answers
Answer:
I hope I didn't make mistakes, because I solved it without calculator
Step-by-step explanation:
[tex] \frac{5}{3} s + \frac{19}{15} = - \frac{3}{5} \\ \frac{5}{3} s = - \frac{3}{5} - \frac{19}{15} \\ \frac{5}{3} s = \frac{ - 9 - 19}{15} \\ \frac{5}{3} s = \frac{ - 28}{15} \\ s = - \frac{28}{15} \times \frac{3}{5} [/tex]
[tex]s = - \frac{28}{25} [/tex]
Find four consecutive even integers whose sum is 84. Find the integers.
Answers
84=n+(n+2)+(n+4)+(n+6)=4n+12.
Subtract 12 from both ends to get.
72=4n.
Divide both ends by 4 to get.
n=18.
So the integers are: 18 , 20 , 22 , 24.
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Answers
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Answer:
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Teachers divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pictures altogether. How many students were there in all?
Answers
Answer: 195
Step-by-step explanation:
585/9=65
65*3=195
Answer:
The answer is 195 students.
Step-by-step explanation:
There are 2 solutions for this.
1st solution.
1. Start with the basics, the number of pictures we have altogether, 585.
2. Divide the number 585 by the number of students which is 3 to identify the total number of students that reported the 585 pictures.
3. 585/3 = 195, the total number of students.
2nd solution.
1. Start with the total again, the number of pictures we have altogether, 585.
2. Divide the number 585 by the number of pictures in each group total received pictures which is 9.
3. 585 divided by 9 = 65.
4. Take the number 65 which is the number of groups and multiply it by 3 the number of students in each group which will lead to the answer 195 again.
5. 195 is the number of students in total.
6. Extra: to even re-check your answers, multiply 195 by 3 and u will get 585, because each student did 3 reports.
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Answers
Answer:
X=1 or X=-1
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
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Answers
Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer
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Group of answer choices
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Answers
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Step-by-step explanation:
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