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sergey [27]
4 years ago
7

What is the area of a regular octagon with a side length of 5 m and a distance from the center to the vertex of 6.5 m ?

Mathematics
2 answers:
horsena [70]4 years ago
7 0
Answer is 120
Use the Pythagorean theorem to find the distance from the center to the side, 6.5²-(5/2)²=6², so the distance is 6. The perimeter is 5×8=40 then use ½(6)(40)=120
Marat540 [252]4 years ago
7 0
It would be 120 if you use 5 but if you use 6.5 it would be 204.

I hope this helps:)
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ELLUNG UNTU
34kurt

Answer: Rs. 100

Step-by-step explanation:

Given the following :

Total expenditure for dance show = Rs. 25000

Profit made except expenditure = Rs. 12,000

Number of people who observed and paid for the show = 370

Amount paid per person will be :

(Total amount or revenue realized / number of observers who paid)

Total revenue realized = (total expenditure + profit made)

Total Revenue realized = Rs.(25,000 + 12,000) = Rs. 37,000

Amount paid per observer = (Rs. 37,000 / 370)

= Rs. 100

8 0
3 years ago
If the longest side of a right triangle is 3x-4, the shortest side is x and the other side is 2x+4, find the lengths of the side
enyata [817]

Answer:

Solution,\\Let~h=3x-4~,p=x~and~b=2x+4\\Then,\\h^{2} = p^{2}+b^{2}\\or, (3x-4)^{2}=x^{2}+(2x+4)^{2}\\or, 9x^{2} - 2(3x)(4) +16 = x^{2} +4x^{2}+2(4x)(4)+16\\or, 9x^{2} -24x+16 = 5x^{2}+16x+16\\or, 9x^{2}-5x^{2}-24x-16x=0\\or,  4x^2-40x = 0\\or, 4x(x-10) = 0\\i.e. x = 0~or~x=10\\

4 0
3 years ago
The U.S census bureau reported that 9 out of every 20 joggers at female. On a trail there were 230 joggers on July 4. Approximat
hodyreva [135]

Answer:

Approximately 104 joggers are female

Step-by-step explanation:

The U.S census bureau reported that 9 out of every 20 joggers at female.

Let x be the number of females out of 230 joggers.

Rewrite it as

\begin{array}{cc}\text{Female}&\text{All joggers}\\9&20\\x&230\end{array}

Now we can write a proportion:

\dfrac{9}{x}=\dfrac{20}{230}

Cross multiply:

20x=9\cdot 230\\ \\2x=9\cdot 23\ [\text{Divided by 10}]\\ \\x=\dfrac{9\cdot 23}{2}=\dfrac{207}{2}=103.5\approx 104

7 0
3 years ago
I don't know how to simplify this question. Is quotient rule necessary?
barxatty [35]

Answer:

The answer to your question is \frac{(x+1)^{2}(x - 23)}{(x-7)^{3}}, because the directions says to give the answer in factor form.

Step-by-step explanation:

                               \frac{3(x+1)^{2}(x-7)^{2}- (x+1)^{3}(2)(x - 7)}{(x - 7)^{4}}

Factor like terms   (x - 7)(x + 1)²

                               \frac{(x - 7)(x + 1)^{2}[3(x - 7) - 2(x + 1)}{(x - 7)^{4}}

Simplify

                              \frac{(x+1)^{2}[3(x - 7) - 2(x+1)]}{(x-7)^{3}}

Expand

                              \frac{(x+1)^{2}[3x - 21 -2x - 2]}{(x - 7)^{3}}

Simplify

                             \frac{(x + 1)^{2}(x - 23)}{(x - 7)^{3}}    

5 0
4 years ago
Show how you can use repeated subtraction to find 84 divided by 6
Lunna [17]
84-6-6-6-6-6-6-6-6-6-6-6-6-6-6=0 So 84÷6= 14
6 0
3 years ago
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