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Anna [14]
4 years ago
12

The three sides of a triangle are n, 3n + 5, and 4n − 9. If the perimeter of the triangle is 68 feet, what is the length of each

side?
Mathematics
1 answer:
MissTica4 years ago
5 0
4n - 9 + 3n + 5 + n = 68

combine like terms

8n - 4 = 68

addition property of equations

8n = 72

division property of equality

n = 9

SIDES:

n = 9

3n + 5 = 32

[ 3(9) + 5 = 32 ]

4n - 9 = 27

[ 4(9) - 9 = 27 ]
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If £2000 is placed into a bank account that pays 3% compound interest per year,
klemol [59]

Answer:

£2,121.80

Step-by-step explanation:

To solve this problem, we can use the compound interest formula:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

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First, change 3% into a decimal:

3% -> \frac{3}{100} -> 0.03

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3 years ago
The sum of twice a number and 6
Allushta [10]

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The answer to your question is 4

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3 0
3 years ago
What are the factors of 252 .
Naya [18.7K]

Answer:

252 is a composite number.

Prime factorization: 252 = 2 x 2 x 3 x 3 x 7, which can be written 252 = (2^2) x (3^2) x 7

The exponents in the prime factorization are 2, 2, and 1. Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) = 3 x 3 x 2 = 18. Therefore 252 has 18 factors.

Factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Factor pairs: 252 = 1 x 252, 2 x 126, 3 x 84, 4 x 63, 6 x 42, 7 x 36, 9 x 28, 12 x 21, or 14 x 18

Taking the factor pair with the largest square number factor, we get √252 = (√7)(√36) = 6√7 ≈ 15.875

Step-by-step explanation:

4 0
4 years ago
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Can anyone help me on this please or give the answer thank you?
Anna71 [15]

Answer:

Step-by-step explanation:

6 0
3 years ago
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