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Advocard [28]
2 years ago
10

A circular mirror has a diameter of 12 inches. What is the are of the mirror in Square inches

Mathematics
1 answer:
Valentin [98]2 years ago
6 0

Answer:

113.14 square inches

Step-by-step explanation:

Area of circle is given by \pi r^{2} where r is the radius. The radius is usually half the diameter hence for this case the radius will be 0.5*12=6 inches.

Taking \pi as \frac {22}{7} then the area will be\frac {22\times 6^{2}}{7}=113.14285714285714285714285714285714285714\ in^{2}\approx 113.14 in^{2}

Therefore, rounded off to 2 decimal places the area is approximately 113.14 square inches

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The members of a high school band asked a number of students whether they would like blue, gold, or both for the uniforms for th
MaRussiya [10]

The values of a and b are a = 33% and b = 43% ⇒ last answer

Step-by-step explanation:

The venn-diagram contains:

  • A circle labeled blue 32
  • A circle labeled gold 25
  • The two circles are overlap with label 12 on the overlap

The table:

→ Band  :  blue  :  N.b  : total

→ gold   :  16%   :  a      :  49%

→ N.g     :  b       :  8%   :  51%

→ Total  :  59%  :  41%  :  100%

We need to find the values of a and b

From the table

16% represents the percentage of blue and gold uniforms (2nd row with 2nd column)

From venn-diagram

The common part of blue and gold label with 12 (overlap of two circles)

∴ 16% of the total number of students = 12

∵ 16% × x = 12

∴ \frac{16}{100} × x = 12

∴ 0.16 x = 12

- Divide both sides by 0.16

∴ x = 75

∵ x represents the total number of students

∴ The total number of students were asked is 75

From the table

b represents the percentage of blue but not gold uniforms (3rd row and 2nd column)

From venn-diagram

The part that has blue and not gold labeled with 32 (the part of the blue circle not in the gold circle)

∴ 32 of the total number of students like the blue but not gold

- Divide 32 by the total 75 , then multiply the quotient by 100%

   to find the percentage of blue but not gold

∴ b = \frac{32}{75} × 100% = 42.6666%

∴ b ≅ 43%

From the table

a represents the percentage of gold nut not blue uniforms (2nd row and 3rd column)

From venn-diagram

The part that has gold and not blue labeled with 25 (the part of the gold circle not in the blue circle)

∴ 25 of the total number of students like the gold but not blue

- Divide 25 by the total 75 , then multiply the quotient by 100%

   to find the percentage of gold but not blue

∴ a = \frac{25}{75} × 100% = 33.3333%

∴ a ≅ 33%

The values of a and b are a = 33% and b = 43%

To check your answer complete the table you will find the total of it is 100% ( for the columns 16% + 43% = 59% , 33% + 8% = 41% , then 59% + 41% = 100%, for the rows 16% + 33% = 49% , 43% + 8% = 51% , then 49% + 51% = 100%)

Learn more:

You can learn more about the probability in brainly.com/question/3756853

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Find the area PLEASE ASAP HELPPPPPPPPP
Luda [366]

Answer:

18

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the slope of the line that contains the points (4,-1) and (-1,4)
Anna11 [10]

Answer:

the slope is -1

Step-by-step explanation:

To find the slope, we use the formula

m = (y2-y1)/ (x2-x1)

   = (4--1)/ (-1-4)

   = (4+1)/(-5)

  = 5/-5

  = -1

3 0
2 years ago
Given the following information, determine if one of the brands is a better buy. Brand A: 14 ounces for $44. 66 Brand B: 20 ounc
maksim [4K]

Division is one of the basic mathematical operations. The cost of Brand A and B is the same.

<h3>What is division?</h3>

The division is one of the most basic arithmetic operations. It is used to find the number of times a number is been added to itself.

Given to us

Brand A: 14 ounces for $44.66

Brand B: 20 ounces for $63.80

To compare the two brands we will find the cost of one ounce for each brand.

For Brand A,

The cost of 14 ounces is $44.66, therefore,

\text{Cost of one ounce} = \dfrac{\$44.66}{14}\\\\\text{Cost of one ounce} = \$3.19

For Brand B,

The cost of 20 ounces is $63.80, therefore,

\text{Cost of one ounce} = \dfrac{\$63.80}{20}\\\\\text{Cost of one ounce} = \$3.19

From the above two values, we can conclude that the cost of Brand A and B is the same.

Learn more about Division:

brainly.com/question/369266

4 0
2 years ago
Write an equivalent expression for the following by combining like terms: 4y − y + 7y
Assoli18 [71]
4y - y + 7y

4y - y = 3y

3y + 7y = 10y

10y is your answer

hope this helps
4 0
3 years ago
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