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Mathematics 15 Online
OpenStudy (ammarah):

helpp

OpenStudy (ammarah):

OpenStudy (ammarah):

OpenStudy (ammarah):

@mathstudent55

OpenStudy (mathstudent55):

Which problems from which sheet?

OpenStudy (ammarah):

umm all of them pleazz

OpenStudy (mathstudent55):

Ok. Let's start with the first sheet.

OpenStudy (mathstudent55):

You need to be careful when comparing areas. Here's an example. If you have a square with side 2, what is its area?

OpenStudy (ammarah):

4

OpenStudy (mathstudent55):

Now if you have a square with twice the side, 4, what is its area?

OpenStudy (ammarah):

8

OpenStudy (ammarah):

wat r u doing problem 29?

OpenStudy (mathstudent55):

No. Area of square = side squared

OpenStudy (ammarah):

16

OpenStudy (mathstudent55):

I'm giving you a background explanation for problem 28.

OpenStudy (ammarah):

oh

OpenStudy (mathstudent55):

Correct. Square with Side 2, area 4 Side 4, area 16 When the side went from 2 to 4, the side became 2 times bigger. The area went from 4 to 16 and became 4 times bigger.

OpenStudy (mathstudent55):

Now if the side of the square becomes 3 times the original side. The side was 2. Now the side becomes 6. What is the area of the square?

OpenStudy (ammarah):

12?

OpenStudy (mathstudent55):

No. Area is not side times 2, it's side squared 6^2 = 36

OpenStudy (ammarah):

oh yeahh....so its 36%?

OpenStudy (mathstudent55):

We're not dealing with percentages yet. Just look at numbers below. When the side goes from 2 to 6, the side became 3 times bigger. The area goes from 4 to 36. How much bigger did the area become? Square with Side 2, area 4 Side 6, area 36

OpenStudy (mathstudent55):

36 is how many times 4?

OpenStudy (ammarah):

9

OpenStudy (mathstudent55):

Right. So if you incerase the side by 3, you increse the area by 3^2 = 9 times. The same happens in problem 28. If the radius is 3 times smaller, the area id 9 times smaller.

OpenStudy (mathstudent55):

Area of a circle with radius 3: A = (p)ir^2 = (pi)*3^2 = (pi)*9 = 9(pi) Area of circle with radius 1: A = (pi)r^2 = (pi)*1^2 = (pi)*1 = pi Area of pi is 9 times smaller than area of 9(pi)

OpenStudy (mathstudent55):

For radius 1, A = pi = 3.14 For radius 3, A = 9(pi) = 9*3.14 = 28.26 3.14 is what percentage of 28.26?

OpenStudy (mathstudent55):

@Ammarah Are you still there?

OpenStudy (ammarah):

yess

OpenStudy (ammarah):

so u dividee

OpenStudy (mathstudent55):

Do you understand problem 28 so far?

OpenStudy (mathstudent55):

3.14/28.26 * 100 will give yout he percentage

OpenStudy (ammarah):

okkk next prob...

OpenStudy (mathstudent55):

29. You got the area correct, 2916 yd^2

OpenStudy (mathstudent55):

Now you also need the perimeter.

OpenStudy (ammarah):

yes

OpenStudy (mathstudent55):

The feet of fencing needed is the perimeter. You have a square with 4 sides of 54 yd. What is the perimeter?

OpenStudy (ammarah):

P=2l +2w

OpenStudy (ammarah):

216

OpenStudy (mathstudent55):

Yes, that wroks, but you can make it simpler since this is a square with all 4 sides equal, so P = 4s = 4 * 54 yd = 216 yd

OpenStudy (ammarah):

kk so those two are the answers?!

OpenStudy (mathstudent55):

There is one more step. The question asks for feet of fencing not yards of fencing, so you need to convert yards into feet.

OpenStudy (mathstudent55):

There are 3 feet in each yard. How many feet is 216 yd?

OpenStudy (mathstudent55):

@Ammarah If you want to go through all these problems, you need to keep going bec I'm leaving in about 30 minutes.

OpenStudy (ammarah):

ohh idk how many feet..

OpenStudy (ammarah):

pleasee stay..

OpenStudy (ammarah):

216 divide by 3

OpenStudy (ammarah):

72

OpenStudy (mathstudent55):

1 yard = 3 feet. Ok?

OpenStudy (ammarah):

72????

OpenStudy (ammarah):

i already posted the answer...@mathstudent55 r u there

OpenStudy (ammarah):

@mathstudent55

OpenStudy (mathstudent55):

No, it's not 72. Answer my questions quckly. 1 yd = 3 ft, right?

OpenStudy (mathstudent55):

2 yd = 6 ft 3 yd = 9 ft For every amount of yards in a length, there are more feet in that length. You multiply yards by 3 to get feet. Don't divide by 3.

OpenStudy (ammarah):

ohhkkk

OpenStudy (ammarah):

648

OpenStudy (mathstudent55):

648 ft of fencing. Correct. Next problem

OpenStudy (mathstudent55):

For 30. Can you write the length and width in terms of 20, 24 and x?

OpenStudy (mathstudent55):

L = ? W = ?

OpenStudy (ammarah):

L=20 w=24

OpenStudy (mathstudent55):

Maybe L = 24 in. W = 20 in. That is the length and width of the glass pane without the frame. The frame is x inches wide all around. What are the length and width of the window (including the frame)?

OpenStudy (ammarah):

20+2x+24+2x??

OpenStudy (mathstudent55):

L = 24 + 2x W = 20 + 2x

OpenStudy (ammarah):

yes thats wat i meant

OpenStudy (mathstudent55):

What is the perimeter of the window using the length and width I just wrote?

OpenStudy (mathstudent55):

P = 2L + 2W

OpenStudy (ammarah):

8x+88

OpenStudy (ammarah):

i have to do something right now...please tell me if what u get for the problems and i will review themmm

OpenStudy (mathstudent55):

8x + 88 = 8 2/3 ft 8 2/3 ft * 12 = 104 in. 8x + 88 = 104 8x = 16 x = 2 This is the answer for 30.

OpenStudy (mathstudent55):

31. |dw:1367810708819:dw| x = 3.5 2x = 7 3.5 in. and 7 in.

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