the diagram shows a scale drawing of a playground. The scale of the drawing is 1:500. Work out the perimeter. Give answer in metres

The perimeter of the playground is 65 metres

Step-by-step explanation:

Questions like this requires attachment; See attachment for diagram.

From the diagram, we have the following parameters

Required

Calculate the parameter of the actual diagram

First, the actual length and width has to be calculated;

Given that the scale drawing is 1:500

Now, the perimeter can be calculated;

However, the question requires answer to be in meters

If 100 cm = 1 m, then

Hence, the perimeter of the playground is 65 metres

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1