Answer:
us set up the following variables:
⎧
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎩
l
Length of Rectangle (cm)
w
Width of Rectangle (cm)
A
Area of Rectangle (
c
m
2
)
t
Time (s)
We are told that:
d
l
d
t
=
8
cm/s (const), and,
d
w
d
t
=
3
cm/s (const)
The Area of the rectangle is:
A
=
l
w
Differentiating wrt
t
(using the product rule) we get;
d
A
d
t
=
(
l
)
(
d
w
d
t
)
+
(
d
l
d
t
)
(
w
)
∴
d
A
d
t
=
3
l
+
8
w
So when
l
=
20
and
w
=
10
⇒
d
A
d
t
=
3
⋅
20
+
8
⋅
10
∴
d
A
d
t
=
60
+
80
∴
d
A
d
t
=
140
cm
Answer:
the percentage of the students in the band that play a percussion instrument is 14.6%
Step-by-step explanation:
The computation of the percentage of the students in the band that play a percussion instrument is as followS;
= number of students played percussion instrument ÷ total number of students
= 6 students ÷ 41 students
= 14.6%
Hence, the percentage of the students in the band that play a percussion instrument is 14.6%
The same is relevant
Answer: In order to convert Celsius to Fahrenheit, you will need to use this formula: F = 9/5C + 32. Therefore, you will need to solve for C or substitute values and solve in that manner. To find Fahrenheit temperature for -20 degrees Celsius, you can just plug it into the formula
Step-by-step explanation:
Answer:
y=1/6x -1
Step-by-step explanation:
Use point-slope form to convert it to y=mx+b.
y-y1=m(x-x1)
y+2=1/6(x+6)
Distribute and simplify.
y+2=1/6x+1
y=1/6x-1