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ale4655 [162]
3 years ago
5

A circle with radius of 4 cm sits inside a circle with radius of 11 cm.

Mathematics
2 answers:
kap26 [50]3 years ago
5 0

The area of the shaded region = 330 sq cm

Step-by-step explanation:

Given,

The radius of small circle (r) = 4 cm

The radius of large circle (R) = 11 cm

To find the shaded region

Formula

The area of circle of radius r = πr^{2} sq cm

So, The radius of the small circle = π×4^{2} sq cm = 16π sq cm

The radius of the large circle = π×11^{2} sq cm = 121π sq cm

Hence the area of the shaded region = 121π-16π sq cm

= 105π sq cm

= 105 × \frac{22}{7} sq cm = 330 sq cm

o-na [289]3 years ago
3 0

Answer: 329.7

Step-by-step explanation:

Area of circle = \pir^{2}

Area of circle with radius of 4 cm = 3.14 * 4 * 4 = 50.24

Area of circle with radius of 11 cm = 3.14 * 11 * 11 = 379.94

Their difference = 329.7

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3 years ago
Members of Alachua District Choir were asked, when given the choice between Romanticism or Gothic
zalisa [80]

Answer:

\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}

Step-by-step explanation:

Given

Romanticism

Male = 48

Female = 59

Gothic

Male = 63

Female = 62

Required

Complete the table <em>(See attachment for complete question)</em>

The table can be represented as:

\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}

The "total" column represents the number of males and female sampled, respectively.

Male = 48 + 63 = 111

Female = 59 + 62 = 121

The "total" row represents the number of Romanticism and Gothic sampled, respectively.

Romanticism = 48 + 59 = 107

Gothic = 63 + 62 = 125

The overall sample is calculated by adding up the number of males and females or the number of Romanticism and Gothic

Overall = Male + Female

Overall = 111 + 121 = 232

or

Overall = Romanticism + Gothic

Overall = 107 + 125 = 232

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3 years ago
If a university wants to maintain a 14:1 ratio between students and teachers, how many teachers would be needed to accommodate 8
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<span>So we want to know the number of teachers the university should have if the ratio of students to teachers is 14:1 and the number of students is 896. If x is the number of teachers: 14/1=896/x. Now we solve for x: Lets multiply both sides with x: x*(14/1)=896 and divide both sides by 14 and we get: x=896/14 and x=64. So the university should have 64 teachers.</span>
7 0
3 years ago
Read 2 more answers
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