anonymous
  • anonymous
the veranda is covered with tiles(30cm times 30cm) in 5 black and4 white tiles,how many black tiles are used to cover the veranda floor if that pattern is continued
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
what is the total area of the veranda?
anonymous
  • anonymous
the area is 4,2m time 1m=4,2m
anonymous
  • anonymous
total area = \[4.2\operatorname{m}^2\]?

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anonymous
  • anonymous
the total area is 4.2 \[m ^{2}\]
anonymous
  • anonymous
do you have an answer? I get 25 but I am rounding down as the answer I got is not an integer...
anonymous
  • anonymous
so the answer is 25 black tiles
amistre64
  • amistre64
Veranda is covered with tiles (30cm times 30cm): is 30 by 30 the measurement of each tile?
anonymous
  • anonymous
yes in cm
amistre64
  • amistre64
good, a centimeter is 1/100 of a meter. You said that the enire veranda is 4.2 meters squared right?
anonymous
  • anonymous
yes.
amistre64
  • amistre64
.03 (.03) = .0009 m^2 right?
anonymous
  • anonymous
yes because you converted the cm to m
amistre64
  • amistre64
thats my error... it should be .3(.3) = .09 m^2
amistre64
  • amistre64
yes, we need to convert centimeters to meters to be able to determine how many m^2 one tile covers
anonymous
  • anonymous
you right it is 0.3 because 30/100 =0.3m
amistre64
  • amistre64
.09x=4.2? x = 4.2/.09 = 420/9 which is 46 and 2/3 tiles all together
amistre64
  • amistre64
I know that 7 times 6 is equal to 42; so I assume that this veranda is NOT a square. and that it is either .6 meters by 7meters, or .7meters by 6 meters. Would that be a fair assumption to you?
anonymous
  • anonymous
the veranda lenght is 4,2m by breadth 1m
amistre64
  • amistre64
4.2 by 1 meter? thats good too :) either way we need 46/23 tiles all together.
anonymous
  • anonymous
@amistre, is area under any curve found out by integrating the function?
amistre64
  • amistre64
@think; yes. When we integrate a function, we are adding up all the little slices that it is made of. Which would equal its area.
amistre64
  • amistre64
I get 3 and 1/3 tile in 1 meter.
anonymous
  • anonymous
okay, so integrating=finding the area & differentiating= ?
amistre64
  • amistre64
differentiating is ....finding the rate of change with respect to another variable. Differentiate with respect to (x) or (time). And thats finding the derivative.
amistre64
  • amistre64
and I get 14 tiles to fit in 4.2 meters
amistre64
  • amistre64
14(.3) = 4.2 right?
anonymous
  • anonymous
30cm * 30cm=900cm 900cm divide by 100m =9m*4,2m= 40 tiles
amistre64
  • amistre64
cant do it like that; you have to realize that the area changes and you no longer deal with 900 cm.. each tile is .3 meters wide; (.3)(.3) = .09 m^2 you have to use this measure of area. otherwise you mess yourself up. Does that make sense?
amistre64
  • amistre64
900cm^2 is not easily converted to m^2 so convert it before you find the area.
anonymous
  • anonymous
oh okay so the answer u gave me the 1st one is right
amistre64
  • amistre64
Yes. .3 meters wide by .3 meters deep. .3x = 4.2 x = 14 tiles along the 4.2 meter side. .3x = 1 x = 1/.3 = 10/3 x = 3 and 1/3 tile to span 1 meter side. Do you agree with those numbers?
anonymous
  • anonymous
yep,thanks i'll tel you the feed back tomrw ,pls help me with the last two parts of my homework
amistre64
  • amistre64
black = 22 and white = 21 and 1/3 by those measurements
amistre64
  • amistre64
whats the last two parts of your homework?
amistre64
  • amistre64
Doh, I drew 13 tiles...let me reccount that..
anonymous
  • anonymous
its going on grt though...
amistre64
  • amistre64
You need 23 and 1/3 black tiles and 23 and 1/3 white tiles. Better buy 24 :)
anonymous
  • anonymous
24 black tiles.right ...the front of the roof is in the shape of a isosceles triangle.the side of the roof are 50cm longer at the ends of the roof hiegh is 1,7m .calculate the lenght of the sides of the of the triangle
amistre64
  • amistre64
is the height from ground level to the peak or is it from the ceiling line to the peak? This information only makes sense if we have a triangle that has a height of 1.7m and has little (50cm) overhangs extending beyond the base. Is the right?
anonymous
  • anonymous
from the ceiling line to the peak.thats right the triangle height is 1,7m yes you right
amistre64
  • amistre64
An isoTriangle has 60 degree corners; and the the sin(60) = 170cm/x(cm) x = 170/sin(60); then add the 50cm to get: x = 170/sin(60) + 50. Does that work for you?
anonymous
  • anonymous
explain more
amistre64
  • amistre64
246.3 cm is the answer I get. But to explain more: Have you learned about sine, cosine, and the functions of angles yet?
amistre64
  • amistre64
or just the pythagorean theorum?
anonymous
  • anonymous
no
amistre64
  • amistre64
Do you know the pythagorean theorum then? x^2 + y^2 = r^2 ?
anonymous
  • anonymous
@amistre, do u know DeMorgan's laws?
anonymous
  • anonymous
i dont know them
amistre64
  • amistre64
@think; I have vaguely seen it, but I havent gone over it any. Whats it about?
anonymous
  • anonymous
its related to sets & functions
anonymous
  • anonymous
dont we start by converting the 50cm to meters
amistre64
  • amistre64
Kab: in order to solve this problem; you need to know how to solve right triangles. and you solve them with a formula that says the height^2 + base^2 is equal to the slanted part^2
amistre64
  • amistre64
@think; not in my repetoire yet :)
amistre64
  • amistre64
and a right triangle is just half of a square. do you know that?
anonymous
  • anonymous
bye guys..u both cont..gotta go
amistre64
  • amistre64
Ciao think :)
anonymous
  • anonymous
all d best wid ur discussion c u 'll the nxt time
anonymous
  • anonymous
(H)^2+(B)^2 (1,7)^2+(0,05)^2 2.89m+0.0025m=2.89m^2 i converted the 50cm to meter which is 0,05
amistre64
  • amistre64
you are on the right track, but I have to point something out to you first. for starters the 50 sm is something we will add at the end because it is not a part of the triangle to begin with. second; we dont know the B yet in order to find the length of the side of the roof. But we do know (because it is an isosolec(sp?) triangle) that the length of the roof is twice B. So lets set up out formula like this: (1.7)^2 + B^2 = (2B)^2 1.89 = 4B^2 - B^2 1.89 = 3B^2 1.89/3 = B^2 ...now square root both sides. sqrt(1.89/3) = B the length of the roof is twiceB 2(sqrt(1.89/3)) = 2B = length of one side of the roof; after you get this number add the overhang of (50cm.) Make sense?
anonymous
  • anonymous
to make things easy for me may you please give the the hole sum and answer
amistre64
  • amistre64
Yes, If I did it correctly; I get 2(170)/sqrt(3) + 50 196.3 cm + 50 cm = 246.3 cm is the roofs length on each side. or 2.463 meters
anonymous
  • anonymous
do you stil have time for the last one, calculate the lenght and breadth of the parallelogram
amistre64
  • amistre64
I got lotsa time... at least 4 hours :)
amistre64
  • amistre64
lets go over to that posting for it tho.

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