3 years ago

Question #6 please? The are and the perimeter

Mathematics

1 answer:

dem82 [27]3 years ago

6 0

Area: 8
perimeter: 14

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The sum of the squares of 3 consecutive positive integers is 116. What are the numbers?

irina [24]

1st number = n
2nd number = n+1
3rd number = n+2

sum of the squares of 3 consecutive numbers is 116

n² + (n+1)² + (n+2)² = 116
n² + (n+1)(n+1) + (n+2)(n+2) = 116
n² + [n(n+1)+1(n+1)] + [n(n+2)+2(n+2)] = 116
n² + n² + n + n + 1 + n² + 2n + 2n + 4 = 116
n² + n² + n² + n + n + 2n + 2n + 1 + 4 = 116
3n² + 6n + 5 = 116 Last option.

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2 years ago

A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the school in ho

Ede4ka [16]

Solution:

we are given that

A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the schoo. The order of selection does not matter.

As we know

6 teacheras can be selected out of 30 teacher in ${30}_C_6$ ways.