Answer:
4%
Step-by-step explanation:
Answer:
6.125
Step-by-step explanation
1 3/4 times 3 1/2 = 6.125
Answer:
Each yard is 150 meters wide and 200 meters tall.
The overall area is 300 meters wide by 200 meters tall.
Step-by-step explanation:
Let's say each yard has a width w and a height h. And let's say the part of the fence that divides them is parallel to the height. The total amount of fencing is therefore:
1200 = 4w + 3h
The total enclosed area is:
A = 2wh
Start by solving for w in the first equation:
1200 − 3h = 4w
w = 300 − 0.75h
Substitute into the second equation:
A = 2 (300 − 0.75h) h
A = 600h − 1.5h²
Take derivative and set to 0:
dA/dh = 600 − 3h
0 = 600 − 3h
h = 200
Solve for w:
w = 300 − 0.75h
w = 150
So each yard is 150 meters wide and 200 meters tall.
The overall area is 300 meters wide by 200 meters tall.
Answer:
72
Step-by-step explanation:
for the rectangles you use the formula :
a=lw 3x6=18x2=36 + 4x6=24
and for the triangles you use:
a=1/2bh 3x4=12/2 + 3x4=12/2
then you add it all together
36+24+12=72
(x-9)²=-3+x
expand
x²-18x+81=-3+x
minus x both sides and add 3
x²-19x+84=0
factor
what 2 numbers multiply to get 84 and add to get -19?
-7 and -12
(x-7)(x-12)=0
set equal to 0
x-7=0
x=7
x-12=0
x=12
the number is 7 or 12
both work