A. A closed circle on nine means that she can have 9 to buy the dress, but she can also have more.
Isocoleese means that 2 sides are the same legnth
that also means that 2 angles are the same legnth
so represent the angles as x,y,z
the vertex is the different angle
lets says that x=y because they are the 2 same angle and z=vertex
so just do
the angles measure x,x,z because x=y
so
base angle=x=y
remember that all 3 inside angles added together equals 180 so
x+y+z=180 or x+x+z=180
so we have
measure of each of the base angles of the isosolese triangle is 9 les than 4 times the vertex
that means that x is 9 less than 4 times z or x=-9+4z or x=4z-9
so we have the other equation
x+x+z=180
subsitute 4z-9 for x
4z-9+4z-9+z=180
group like terms
4z+4z+z-9-9=180
add like terms
9z-18=180
add 18 to both sides
9z=198
divide both sides by 9
z=22
subsitute
x=4z-9
x=4(22)-9
x=88-9
x=79
x=y=79
the angles are
base angles=79 degrees
vertex=22 degrees
x=79
y=79
z=22
Answer:
maybe the answer is
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Answer:56
Step-by-step explanation:
When the surrounding flaps are folded up, the base of the box will have dimensions
by
, and the box will have a height of
. So the box has volume, as a function of
,

I don't know what technology is available to you, but we can determine an exact value for
that maximizes the volume by using calculus.
Differentiating
with respect to
gives

and setting this equal to 0 gives two critical points at

For the larger critical point we would get a negative volume, so we ignore that one. Then the largest volume would be about 168.5 cubic in.