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Setler79 [48]
3 years ago
15

A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre. What is the smal

lest number of rows that is needed to seat these people?
Mathematics
1 answer:
WITCHER [35]3 years ago
8 0

Answer:

Smallest number of rows that is needed to seat these people = 16

Step-by-step explanation:

Given - A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre.

To find - What is the smallest number of rows that is needed to seat these people?

Solution -

Given that,

Total number of seats in a Row = 24

Let us assume that, there are x rows

As.

There are 382 people in the Theatre

So,

Minimum seats required is

24 x = 382

⇒x = 382 ÷ 24

⇒x = 15.91

i.e.

Smallest number of rows that is needed to seat these people = 16

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Rina8888 [55]

Answer:

A. 16.12 ft  B.  9.64 ft

Step-by-step explanation:

For both of these, you need Pythagorean's Theorem because we have right triangles.  In part A, we are given 2 legs and are asked to find the length of the hypotenuse:

14^2+8^2=PR^2 and

196+64=PR^2

and PR = 16.12 ft

In part B, we are given the length of the hypotenuse and side PQ remains the same:

14^2+QR^2=17^2 and

196+QR^2=289

QR^2=289-196 so

QR = 9.64 ft

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