A = 4,
we denote one side of the rectangle with
a
, and the other with
b
we can write, that:
a
⋅
b
=
16
so we can write, that
b
=
16
a
Now we can write perimeter
P
as a function of
a
P
=
2
⋅
(
a
+
16
a
)
We are looking for the smallest perimeter, so we have to calculate derivative:
P
(
a
)
=
2
a
+
32
a
P
'
(
a
)
=
2
+
(
−
32
a
2
)
P
'
(
a
)
=
2
−
32
a
2
=
2
a
2
−
32
a
2
The extreme values can only be found in points where
P
'
(
a
)
=
0
P
'
(
a
)
=
0
⇔
2
a
2
−
32
=
0
2
a
2
−
32
=
0
x
a
2
−
16
=
0
×
x
.
.
a
2
=
16
×
×
x
a
=
−
4
or
a
=
4
Since, length is a scalar quantity, therefore, it cannot be negative,
When
a
=
4
,
b
=
16
4
b
=
4
Answer:
6/5=x/15
Step-by-step explanation:
6/5=x/15,where x is hight of the lamp post
x=18
Answer: pi/4 and -1
Step-by-step explanation:
Answer:
$3.97
Step-by-step explanation:
Three containers @$2.98 = 3 × 2.98 = $8.94
Less $1 = <u>-1.00
</u>
7.94
Less 50% paid my mom = ½ × 7.94 = <u>-3.97
</u>
Paid by Theresa = $3.97
[(3 × 2.98) - 1] ÷ 2 = (8.94 - 1) ÷ 2 = 7.94 ÷ 2 = 3.97
There are 3 days of baths
76 liters = 76000 milliliters
Add 8
76008
Multiply that by 3 for the three days
C. 228024 milliliters