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Mathematics 21 Online
bill533:

https://i.postimg.cc/ZYQwdTkM/IMG-7854-1.jpg https://i.postimg.cc/pTGqkvmy/IMG-7853-1.jpg https://i.postimg.cc/7Yptpqm2/IMG-7852-1.jpg

jhonyy9:

for the first one do you have any idea ?

jhonyy9:

and for the second any idea ?

bill533:

no

bill533:

there's one volume of pyramid=(11*11*14)/3 cm^3= 1694/3 cm^3 volume of cube=4*4*4=64 cm^3

jhonyy9:

ok and how you can use this details what you ve got and wrote above bc. i think this is the key to solve this first one

jhonyy9:

try dividing the volum of pyramid by the volum of cube

bill533:

number of cubes=9

jhonyy9:

yes i think this is the right answer on the first one so second ?

bill533:

Yes as the corresponding sides are proportional. and all the angles are of 90 degree

jhonyy9:

try drawn these rectangles

jhonyy9:

will understand more easy better

jhonyy9:

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jhonyy9:

sorry the right side of rectangle 2 not is there but hope you understand it

jhonyy9:

so question A . are these rectangles similar ?

bill533:

yes

jhonyy9:

yes why ?

jhonyy9:

do you know it ?

jhonyy9:

yes bc. the proportionality of sides is different by a factor q ok. ?

jhonyy9:

do you understand ?

jhonyy9:

rectangle 1 - proportionality of sides is s/t retangle 2 - proportionality of sides is (s×q)/(t×q) = ?

jhonyy9:

simplify by q and you get same like rectangle 1 s/t ok ?

jhonyy9:

question B.

jhonyy9:

first of all what is the primeter of rectangle 1 ?

jhonyy9:

note P1 = ?

jhonyy9:

P1 = 2s+2t yes ?

jhonyy9:

so P1 = 2(s+t)

jhonyy9:

in case of second rectangle how you get the perimeter ?

jhonyy9:

note perimeter rectangle 2 let be P2 P2 = 2sq + 2tq yes ?

bill533:

yes

jhonyy9:

factoriz out the q and get P2 = q(2s+2t) = q[2(s+t)] = q(P1) bc. P1 = 2(s+t)

jhonyy9:

bill do you understand all ?

bill533:

yes and this is for B ?

jhonyy9:

yes sure

jhonyy9:

and for C. ?

jhonyy9:

area of rectangle 1 = ?

jhonyy9:

come please this will solve you

bill533:

P1

jhonyy9:

no do you know formula for area of a rectangle ?

bill533:

Area of Rec 1 = tq

jhonyy9:

no how you get it ? please formula for area of a retangle

jhonyy9:

bill you ve learned it ?

jhonyy9:

ok. area of a square = ?

jhonyy9:

courage i m here to help you

jhonyy9:

so area of a square = side time side than area of a rectangle = ?

jhonyy9:

area of a square is side time side bc. a square has 4 sides equale yes ? so in case of a rectangle area equal side time side but just in the form of length time width do you understand it now ?

jhonyy9:

so using these knowladge what will be area of rectangle 1 = ?

jhonyy9:

note it A1

bill533:

it is known to be A1 by looking at the triangle, i was going to say that after realizing

jhonyy9:

bill what triangle there are rectangles in your exercise

jhonyy9:

i ve said above that area of a rectangle is length time width so in case of rectangle 1 area A1 = ?

jhonyy9:

rectangle 1 has length s and width t so use these details please

bill533:

4 times the area of Rec 1

jhonyy9:

bill sorry what is this ? i ve said please write aea of rectangle 1 equal how many ?

bill533:

sorry it's 4

jhonyy9:

why 4 ? when given that rectangle 1 has length s and width t

jhonyy9:

please explain me how you get this 4

bill533:

i'm sorry it's wrong because you see the area of rectangle is the product of the lengths of two sides

jhonyy9:

no i ve said area of rectangle is length time width

bill533:

right but i thought the area of rectangle were included

jhonyy9:

the product of the lengths of two sides is area of a square bc. a square has 4 equal sides ok. ?

jhonyy9:

so than now what will be area of rectangle 1 ?

jhonyy9:

A1 = length time width so s*t yes ?

jhonyy9:

so easy ok. ?

jhonyy9:

and now what will be area of rectangle 2 ?

jhonyy9:

you know that rectangle 2 has length sq and width tq use these please

jhonyy9:

A2 = ?

jhonyy9:

than A1 = s*t so A2 = ?

bill533:

A2 = qq

bill533:

wait

jhonyy9:

no where are s and t from there ? so A2 = sq*tq = s*t*q^2 = A1*q^2

bill533:

that's right i had it wrong

jhonyy9:

but these all are understandably for you now sure ?

bill533:

just about i had to adjust to figure it out most of this were hard for me to figure out

bill533:

for C i had covered

jhonyy9:

ok. but i think i ve wrote understandably to you - yes ?

bill533:

Thank you on those jhonny and sorry i wasted your time enough and there's a few more left i need help on and that's it

bill533:

just about

jhonyy9:

in case of C just you need to know formula for area of a rectangle

jhonyy9:

ok. np. was my pleassure and anytime just tag me than i m here online good luck bye bye

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