Each rectangle is (18cm)(10cm)=180 square cm.
180 square cm/45 square cm=4. she cuts four triangles from each rectangle
(4 patches/rectangle)(32 rectangles)=128 patches
Answer=128 patches
Fault lines i believe is the answer dont know if that will help you any now but its worth a shot
Remark
We have to assume that there are only 3 consecutive integers.
Givens
Let the smallest integer = x
Let the middle integer = x + 1
Let the largest integer = x + 2
Formulas
4(x + 2)^2 - 3x^2 = 41+ 2*(x + 1)^2 Expand the brackets.
Solution
4(x^2 + 4x + 4) - 3x^2 = 41 + 2(x^2 + 2x + 1) Remove the brackets.
4x^2 + 16x + 16 - 3x^2 = 41 + 2x^2 + 4x + 2 Collect like terms on both sides
x^2 + 16x + 16 =2x^2 + 4x + 43 Subtract the left side from the right
0 = 2x^2 - x^2 - 16x + 4x - 16 + 43 Collect like terms.
0 = x^2 - 12x + 27 This factors
(x - 3) * (x - 9) = 0
x - 3 = 0
x = 3 or
x - 9 = 0
x = 9
Therefore numbers can be 3,4,5 or 9,10,11
We need to check both.
First group check.
Group One
4*5^2 - 3*3^2 = 41 + 2*4^2
4*25 - 3*9 = 41 + 2*16
100 - 27 = 41 + 32
73 = 73
Group one is correct.
Group Two
4*11^2 - 3*9^2 = 41 + 2*10^2
484 - 243 = 41 + 200
241 = 241 and the second group checks as well. So thee are two sets of answers.
3,4,5 and 9,10,11 <<<<<< Answer.
Note: You should put this in math.
go to settings and hit cancel payment
The correct answer is B. Australian Goat.
Explanation
During the 18th century, Australian settlers brought goats to Australian territory and settled throughout the country. However, after a long drought, the grazing of goats was not profitable, so their owners had to release them, and many of them had previously escaped and had survived drifting out of the dry areas. This caused them to reproduce and increase their population. Therefore, the correct answer is B. Australian Goat.
