Answer:
А.The system has two solutions, but only one is viable because the other results in a negative width.
Step-by-step explanation:
Given
Let:
length of play area A
width of play area A
length of play area B
width of play area B
Area of A
Area of B
From the question, we have the following:




The area of A is:

This gives:

Open bracket

The area of B is:


Substitute: 

Open brackets


Expand


We have that:

This gives:

Collect like terms


Using quadratic calculator, we have:
or
--- approximated
But the width can not be negative; So:

By using differential equations' concept, we get that there is no sugar in the beginning.
<h3>What is a differential equation?</h3>
A differential equation is an equation that connects the derivatives of one or more unknown functions.
Given:
Pure water = 2840 litres
sugar = 0.01kg per liter
Rate of sugar entering the tank = 4liter/min
New solution drains out at the rate = 4 litre/min
To find: sugar in the beginning.
Finding:
(a) In the beginning, the tank contains only pure water and no solution of water with sugar.
Hence, the sugar is null for t = 0.
To learn more about differential equations, refer to the link: brainly.com/question/1164377
#SPJ4
The scale factor to convert Figure A to B is
(0.5)
Step-by-step explanation:
Step 1; To determine the scale factor, we need to know the dimensions of the shape before scaling and its dimensions after scaling. From the given diagram, figure A has a base length of 6 units while its height is 4 units. Figure B has a base length of 3 units and a height of 2 units.
Step 2; To find the scale factor, we divide a particular dimension from figure B with the same dimension in figure A.
The base length of figure B /the base length of figure A =
=
,
Similarly, the height of figure B / the height of figure A =
=
.
So by multiplying figure A with scale factor
we get figure B.