- #1

sheet1

- 12

- 0

hello I am new here and just starting to do some maths in school (not always my strong point) and I am need of help for some problems that I am trying to solve!

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 37 feet, express the area of the window as a function of the width (across the base) of the window.

a(x) = ?

some equations used are x*y = area or 2x + 2y and πr^2

from my calculations I thought the answers would be 37x-x^2, but apparently it isn;t, and I don't have any solutions to confirm my answer(s). THis probably seems easy to you guys, but word problems have me clueless.

THis second question is a linear matrix algebra type of question...

Solve the system:

1 1 0 0 : -1

0 1 1 0 : 3

0 0 1 1 : -1

1 0 0 1 : -5

Now normally i know how to solve this but this time its asking for the solution in the form of this and don't know how to input the values:

[x1] = [] []

[x2] = [] + [] s.

[x3] = [] []

[x4] = [] []

Regular algebra...but haven't seen this type of question yet so there is perhaps something i don't know?

I attempted solving it such as a normal matrix and then solving for x1,x2 etc...and after inputting the numbers my answers was incorrect.

i had x1 = -1 + -1 x2 = 3 + -1 x3 = -1 + -1 x4 = 1 -4

## Homework Statement

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 37 feet, express the area of the window as a function of the width (across the base) of the window.

a(x) = ?

## Homework Equations

some equations used are x*y = area or 2x + 2y and πr^2

## The Attempt at a Solution

from my calculations I thought the answers would be 37x-x^2, but apparently it isn;t, and I don't have any solutions to confirm my answer(s). THis probably seems easy to you guys, but word problems have me clueless.

## Homework Statement

THis second question is a linear matrix algebra type of question...

Solve the system:

1 1 0 0 : -1

0 1 1 0 : 3

0 0 1 1 : -1

1 0 0 1 : -5

Now normally i know how to solve this but this time its asking for the solution in the form of this and don't know how to input the values:

[x1] = [] []

[x2] = [] + [] s.

[x3] = [] []

[x4] = [] []

## Homework Equations

Regular algebra...but haven't seen this type of question yet so there is perhaps something i don't know?

## The Attempt at a Solution

I attempted solving it such as a normal matrix and then solving for x1,x2 etc...and after inputting the numbers my answers was incorrect.

i had x1 = -1 + -1 x2 = 3 + -1 x3 = -1 + -1 x4 = 1 -4

Last edited: