The of is essentially the multiplication operator hence
Hope this helps.
Answer:
out of 100, the decimal is 0.37
Step-by-step explanation:
Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.
Then, the perimeter is given by
4
x
+
3
y
=
160
.
4
x
=
160
−
3
y
x
=
40
−
3
4
y
The area of a rectangle is given by
A
=
L
×
W
, however here we have two rectangles put together, so the total area will be given by
A
=
2
×
L
×
W
.
A
=
2
(
40
−
3
4
y
)
y
A
=
80
y
−
3
2
y
2
Now, let's differentiate this function, with respect to y, to find any critical points on the graph.
A
'
(
y
)
=
80
−
3
y
Setting to 0:
0
=
80
−
3
y
−
80
=
−
3
y
80
3
=
y
x
=
40
−
3
4
×
80
3
x
=
40
−
20
x
=
20
Hence, the dimensions that will give the maximum area are
20
by
26
2
3
feet.
A graphical check of the initial function shows that the vertex is at
(
26
2
3
,
1066
2
3
)
, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.
Hopefully this helps!
Step-by-step explanation: hope this helps
Answer:
Step-by-step explanation:
let 25 % copper=x kg
75 % copper=(100-x) kg
0.25 x+(100-x)*0.75=100*0.61
25x+7500-75 x=6100
-50 x=-1400
50 x=1400
5x=140
x=28
25 % of Copper=28 kg
75 % of Copper=100-28=72 kg
Answer:
126°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. The measure of angle W is ...
180° -54° = 126°
