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Whitepunk [10]
3 years ago
8

Find the circumference and the area plzzz

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0

Answer:

3.

A) 43.96 cm (Circumference)

B) 153.86 square cm (Area)

4.

A) 62.8 ft (Circumference)

B) 314 square ft (Area)

Step-by-step explanation:

3. Radius 7 cm

7*2=14 (Find the diameter)

14*3.14= 43.96 cm (Circumference)

7*7=49 (Find the square of radius)

49*3.14 = 153.86 square cm (Area)

4. Diameter: 20 ft

20*3.14 = 62.8 ft (Circumference)

20/2=10

10*10=100

100*3.14= 314 square ft (Area)

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A group of students were surveyed to find out their favorite subject in school. 1/6 chose history and 2/5 chose music. Of the st
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<h3>Answer:</h3>

Number of students who chose history as favorite subject = 25

Number of students who chose music as favorite subject = 60

<h3>Step-by-step explanation:</h3>

Let the total number of students be 's'.

Number of students who chose history as favorite subject = \frac{1}{6} of (Total number of students) = \frac{1}{6}\times \textrm{s} = \frac{1}{6}\textrm{s}

Number of students who chose history as favorite subject = \mathbf{\frac{1}{6}s}

Number of students who chose music as favorite subjects = \frac{2}{5} of (Total number of students) = \frac{2}{5}\times \textrm{s} = \frac{2}{5}\textrm{s}

Number of students who chose music as favorite subjects = \mathbf{\frac{2}{5}s}

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Total number of students = (Number of students who chose history as favorite subject) + (Number of students who chose music as favorite subject) + (Number of students who chose neither history nor music as favorite subject)

\mathrm{s=\frac{1}{6}s+\frac{2}{5}s+65}

\mathrm{s=(\frac{1}{6}+\frac{2}{5})s+65}

\mathrm{s=(\frac{1\times5+2\times6}{30})s+65}

\mathrm{s=(\frac{17}{30})s+65}

\mathrm{s-\frac{17}{30}s=65}

\mathrm{(1-\frac{17}{30})s=65}

\mathrm{(\frac{1\times30-17}{30})s=65}

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\mathrm{s=65\times\frac{30}{13}}

\mathrm{s=\frac{1950}{13}}

\therefore\mathbf{s=150}

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Number of students who chose history as favorite subject = 25

Number of students who chose music as favorite subject = \frac{2}{5}\textrm{s}=\frac{2}{5}\times150=60

Number of students who chose music as favorite subject = 60

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