Answer:
6 cm by 17 cm
Step-by-step explanation:
The area is the product of the dimensions; the perimeter is double the sum of the dimensions.
So, we want to find two numbers whose product is 102 and whose sum is 23.
102 = 1·102 = 2·51 = 3·34 = 6·17
The last of these factor pairs has a sum of 23.
The dimensions are 6 cm by 17 cm.
Cylindervolume=hpir^2
V=432
432=hpir^2=original
if each is divided by 3 then
h turns to (1/3)h
r turns to (1/3)r
input and find the effect
(1/3)hpi[(1/3)r]^2
(1/3)hpi(1/9)r^2
move 1/9 to front
(1/27)hpir^2
compared to original volume (which was hpir^2)
so therefor we multiply the original volume by 1/27
432*1/27=16
the new volume is 16 cubic meters
Bookshelf =7boards each
Lumber=4 boards each
He wants to make 5 bookshelves total
5x7=35
So he needs 35 boards
And each lumber makes 4 boards
So what number times 4 is equal to or more than 35?
9times 4 is 36
So he needs 9 pieces of lumber to make 5 bookshelves.
Good luck with your work! Brainliest would be appreciated :)
x= 9
y= 9
4x -2y= 18.................equation 1
-4x + 2y= -18...............equation 2
From equation 1
4x= 18 + 2y
x= 18 + 2y/4
substitute 18+2y/4 for x in equation 2
-4(18+2y/4) -2y= 18
-(18+2y)-2y= 18
-18-2y-2y= 18
-18+4y= 18
4y= 18+18
4y= 36
y= 36/4
y= 9
Substitute 9 for y in equation 1
4x-2y= 18
4x-2(9)= 18
4x-18= 18
4x= 18+18
4x= 36
x= 36/4
x= 9
Hence the value of x is 9 and the value of y is 9
Read more on substitution here
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Answer:
-0.22222222222222
Step-by-step explanation:
hope this helps