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Mumz [18]
3 years ago
9

The area of the regular octagon is approximately 54 cm2. What is the length of line segment AB, rounded to the nearest tenth?

Mathematics
2 answers:
spayn [35]3 years ago
8 0

Answer:3.4

Step-by-step explanation:

For enginuity- just took the test

erastova [34]3 years ago
6 0

Answer:

AB = 3.3 cm

Step-by-step explanation:

The formula to find out area of a regular octagon is given by

A=2(1+\sqrt{2})a^{2}

where a is the length of each side of the regular octagon.

Plugin A=54 into the formula

54=2(1+\sqrt{2})a^{2}

Divide both sides by 2

\frac{54}{2} =\frac{2}{2} (1+\sqrt{2})a^{2}

27 = (1+\sqrt{2})a^{2}

Plugin √2 as 1.41

27 = (1+1.41)a^{2}

27 = (2.41)a^{2}

Divide both sides by 2.41

\frac{27}{2.41} = \frac{2.41}{2.41} a^{2}

11.20 = a^{2}

Taking square root on both sides

\sqrt{11.20}  = \sqrt{a^{2}}

a = 3.346

a = 3.3 cm (rounded to nearest tenth)

so, length of side AB = 3.3 cm

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<u>Given</u>:

The number of tickets sold to children =35+87+62=184.

The number of tickets sold to adults =56+177+205=438.

The number of tickets sold to seniors =32+14+54=100.

To determine the percentage of tickets sold to seniors we need to determine the total number of tickets sold to each category.

<u>To determine the percentage of tickets sold to seniors:</u>

In order to determine the percentage of tickets sold to the seniors, we divide the tickets sold to seniors by the total number of tickets sold to children, adults, and seniors.

This value is multiplied with 100 to convert it into a percentage.

The number of tickets sold to seniors =100.

The total number of tickets sold to children, adults, and seniors = 184+438+100=722.

The percentage of tickets sold to seniors = \frac{100}{722} (100) = 0.1385(100)=13.85\%.

Rounding this off, we get the value as 13.9%

Hence, option 1 is the correct answer.

8 0
3 years ago
HURRY UP I AM DIENG I WILL GIVE BRAINLIESTThe area of the parallelogram below is ____ square meters.
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Answer:

42m

Step-by-step explanation:

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7 0
2 years ago
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the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find t
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Answer:

x ≥ 54

Step-by-step explanation:

x+x-4 ≥ 104

2x ≥ 104 + 4

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3 years ago
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1. A or B

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Question 1: Which expression correctly shows 2x^5−54x^2 factored over the integers using the difference of cubes method?
lubasha [3.4K]

Answer:

Question 1:  Option C, 2x^2(x - 3)(x^2 + 3x + 9)

Question 2:  Options 1, 2, 5

Step-by-step explanation:

Question #3

Step 1:  Factor

2x^5 − 54x^2

2x^2(x^3 - 27)

<em>2x^2(x - 3)(x^2 + 3x + 9)</em>

<em />

Answer:  Option C, 2x^2(x - 3)(x^2 + 3x + 9)

Question #2

p(x) = 4x^6 + 32x^3

<u>Step 1:  Factor</u>

4x^6 + 32x^3

4x^3(x^3 + 8)

<em>4x^3(x + 2)(x^2 - 2x + 4)</em>

<em />

Answer:  Options 1, 2, 5

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