Input into your calculator to verify
6.71 miles
use the Pythagorean theorem
6^2 + x^2 = 9^2
36 + x^2 = 81
81-36= 45
square root of 45 is approximately 6.71 miles
Answer:
$20.51 tip Russell leaves
Step-by-step explanation:
18.99 per weight
buys 9 weights
18.99 x 9 is 170.91
170.91 x 12% is 20.51 tip
170.91+20.51=$191.42
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
Well I would have to say the bottom left of the parallelogram would be 102° the two in the bottom right would be 29°.
