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Mathematics: Post your doubts here!

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Can anyone explain me this:
A square wall is covered with square tiles. there are 85 tiles altogether along the two diagonals. How many tiles are along the whole wall?
 
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Can anyone explain me this:
A square wall is covered with square tiles. there are 85 tiles altogether along the two diagonals. How many tiles are along the whole wall?
Imagine a square, covered in tiles. Now draw two diagonals on it. The number of tiles the diagonals pass through is 85. Understand? Do you want the solution?
 
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I have calculated it using two different methods, and they both give similar answers.


1.
85/4=21.25 /
21.25^2=451.5625 /We calculate the area of one triangle, the wall is cut into 4 triangles by the diagonals so we then multiply by 4
451.5625/2=225.78125 /
225.78125*4=903.125

2.
85/4=21.25
21.25^2+21.25^2=903.125 /
sqrt(903.125)=30.052 /We calculate the side of the square by using Pythagorean theorem on the right angled triangle, square to find the area.
30.052^2=903.122704 /

:)
 
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I have calculated it using two different methods, and they both give similar answers.


1.
85/4=21.25 /
21.25^2=451.5625 /We calculate the area of one triangle, the wall is cut into 4 triangles by the diagonals so we then multiply by 4
451.5625/2=225.78125 /
225.78125*4=903.125

2.
85/4=21.25
21.25^2+21.25^2=903.125 /
sqrt(903.125)=30.052 /We calculate the side of the square by using Pythagorean theorem on the right angled triangle, square to find the area.
30.052^2=903.122704 /

:)
The answer is coming wrong.....it is ok though. Thanks alot :)
Can you help me in this question:
The population of an Island increases by 10% each year. After how many years will the original population be doubled?
 
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The answer is wrong? What is it then?

Anyways, this is the only way I could think of XD
1y=100
2y=110
3y=121
4y=133.1
5y=146.41
6y=161.051
7y=177.1561
8y=194.87171
9y=214.358881

100*2=200 214>200
 
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I have calculated it using two different methods, and they both give similar answers.


1.
85/4=21.25 /
21.25^2=451.5625 /We calculate the area of one triangle, the wall is cut into 4 triangles by the diagonals so we then multiply by 4
451.5625/2=225.78125 /
225.78125*4=903.125

2.
85/4=21.25
21.25^2+21.25^2=903.125 /
sqrt(903.125)=30.052 /We calculate the side of the square by using Pythagorean theorem on the right angled triangle, square to find the area.
30.052^2=903.122704 /

:)

similar answers would not really work...as we need them to be the same....so that prbly means u did summin wrong...
 
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Can anyone explain me this:
A square wall is covered with square tiles. there are 85 tiles altogether along the two diagonals. How many tiles are along the whole wall?

First both the diagonals take up 85 tiles, and they cross so lets assume they cross just on one tile, then the length of a diagonal is 86/2 = 43
Then u use the pythagorean theorem to get the length of the sides, so 43^2 = Side1^2 + Side2^2 and since its a square both the sides are of equal length, so 1849 (43^2) divided by 2 would give u the squared of each side, then u take the square root of 924.5 (1849/2) which would give u 30.405591...... then u multiply that with itself to get the area of the square as side * side of a square = area of the square. then it would give u the same answer as our previous step which is 924.5....

So the answer would be 924.5....
If I did some stupid mistake just let me know XD

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(IGCSE AQA Maths)
I need help on like transforming straight line graphs and quadratic graphs and easy ways to get the formula of a given quadratic graph

Thx for helping ppl :)
 
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I just finished my AQA Maths Paper1 (Non calc) today

I did quite well apart from this question, Im not sure what the answer is.....

Plz help
 
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The minute hand of a clock is 9 cm long and the hour hand is two-third as long.How much more distance will the tip of the minute hand move then the hour hand in one hour?Give your answer correct to 1 decimal place.

Please help really urgent...
 
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More doubts on word problems leading to quadratic equations..

1. A farmer encloses a rectangular piece of land which has an area of 2800 m^2 with a fence of 220 m long. Find the length and the width of the piece of land.

2. A rectangular lawn, 36 m long and 15 m wide , has a path of uniform width around it. If the area of the path is 910 m^2, find the width of the piece of land .
 
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Hey guys any idea how to solve this question below! Help is appreciated :)!

P and Q are positive quantities, P is inversely proportional to Q² . when P = 160 Q = 20. Find the value of P when P = Q
 
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The minute hand of a clock is 9 cm long and the hour hand is two-third as long.How much more distance will the tip of the minute hand move then the hour hand in one hour?Give your answer correct to 1 decimal place.

I am just going to make an attempt to it

Now from question we know that hour hand is only 2/3 of 9cm :Hour hand is two-third as long:

So 2/3 x 9 = 6cm => length of the hour hand!

(a) The circumference of the minute hand is given by: 2 x pi (3.142) x r = 2 x pi ( 3.142 ) x 9 = 56.55 cm
(b) The circumference of the hour hand is given by: 2 x pi (3.142) x r = 2 x pi (3.142) x 6 = 37.7 cm

We know by logic the clock has 12 units and that the minute hand moves round the whole circle in one hour! and the hour hand moves only 1 unit..from this we can deduce that the hour hand only moves 1/12 of the whole circumference it can move.

(c) Therefore : 37.7 x 1 / 12 = 3.14 cm

Now we can find the difference in distance by simply subtracting the answers from (a) by (c)
= 56.55 - 3.14 = 53.41
Now question asks to give in 1 decimal place so Answer is 53.4cm

I hope I did Right! :unsure:
 
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Hey guys any idea how to solve this question below! Help is appreciated :)!

P and Q are positive quantities, P is inversely proportional to Q² . when P = 160 Q = 20. Find the value of P when P = Q
cn u plz rite a bit larger?
 
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