Answer:
140
Step-by-step explanation:
We first find out how much degrees altogether in the pentagon so we do
S = (n-2) x 180
s is the sum in the shape
n is the number of sides
S = (5-2) x 180
S = 3 x 180
S =540
Now that we have the sum we can add all the sides, first lets make the side ABC = x and side BCD = 2x:
115 + 125 + 90 + x + 2x = 540
330 + 3x = 540
3x = 540 - 330
3x = 210
x = 70
Now that we know x = 70 we can find side BCD, it says its is 2 x angle ABC
so we do 2x70 = 140
so Angle BCD = 140
I hope i did this correctly.
Answer:
Help with all the parts or just one?
Step-by-step explanation:
Suppose you cut squares have the side lengths x then we have
length of base box=20-2x
width of base box=30-2x
height of box=x
volume of the box
V=x(20-2x)(30-2x)
V=600x-100x^2+4x^3
then
dV/dx=600-200x+12x^2
set that to zero
600-200x+12x^2=0
apply quadratic formula
x=approx12.97 or 3.92
since you want in whole numbers so x=13 or x=4
so if x=13 then V= -312 but negative number doesn't make a sense so we ignore that
if x=4 then v=1056 this is the greatest volume
the dimensions are
length of a box base=12
width of a box base=22
height of box =4
did u get it ?
Answer:
B
Step-by-step explanation:
The profit made is equal to 2.25-2.25 which is 0.