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WARRIOR [948]
3 years ago
8

In a school, enrollment this year had a deficit of 6% compared to last year. If 658 students have enrolled this year, how many s

tudents were there in the year?
past?
Mathematics
1 answer:
hammer [34]3 years ago
4 0

Answer:

695 Students

Step-by-step explanation:

This is because 6% of 658 is 39. 39 Students + 658 Students is 695 students.

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The distance from the centroid of a triangle to its vertices are 16cm, 17cm, and 18cm. What is the length of the shortest median
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Answer:

24 \text{cm}

Step-by-step explanation:

Given: The distance from the centroid of a triangle to its vertices are 16\text{cm}, 17\text{cm}, and 18\text{cm}.

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Solution:

Consider the figure attached

A centroid is an intersection point of medians of a triangle.

Also,

A centroid divides a median in a ratio of 2:1.

Let G be the centroid, and vertices are A,B and C.

length of \text{AG} =16\text{cm}

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length of \text{CG} =18\text{cm}

as centrod divides median in ratio of 2:1

length of \text{AD} =\frac{3}{2}\text{AG}

                                              =\frac{3}{2}\times16

                                              =24\text{cm}

length of \text{BE} =\frac{3}{2}\text{BG}

                                              =\frac{3}{2}\times17

                                              =\frac{51}{2}\text{cm}

length of \text{CF} =\frac{3}{2}\text{CG}

                                              =\frac{3}{2}\times18

                                              =27\text{cm}

Hence the shortest median is \text{AD} of length 24\text{cm}

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