Answer:
87 feet
Step-by-step explanation:
Two of the sides here are unknown. The one on the leftmost side is equal to 9, since on the other side it also has a length of 9 feet. The section on the top right has a length of 30-9-9=12 units. Adding all of these values together now, you get a total perimeter of:
30+9+12+9+9+9+9=87 feet
Hope this helps!
Answer:
f
(
x
)
=
3
cos
(
2
x
)
+
2
EXPLANATION:
We are able to use the transformation formula
f
(
x
)
=
a
⋅
cos
(
x
−
h
b
)
+
k
. You start with
f
(
x
)
=
cos
(
x
)
and replace
a
with the desired amplitude,
h
with the desired horizontal shift, and
k
with the desired vertical shift. This leaves out the
b
-value. A regular cosine function has a period of
2
π
. If you want a period of
π
, since that is one half of the original period, you need to replace your
b
with a
1
2
.
This is about how it would work out.
f
(
x
)
=
3
⋅
cos
(
x
−
0
1
2
)
+
2
From there you simplify your equation giving you
f
(
x
)
=
3
cos
(
2
x
)
+
2
Answer:
y - 5 = 5(x - 1)
Step-by-step explanation:
Two points on the graph are (1, 5) and (7, 35). Going from the first to the second, we see x (the 'run') increasing by 6 and y (the 'rise') increasing by 30. Hence the slope of this line is m = rise / run = 30/6, or 5.
Using the point-slope equation, we get
y - 5 = 5(x - 1)
Answer:
P = 15.71 cm
Step-by-step explanation:
Given that,
The diameter of the semicircle, d = 10 cm
Radius, r = 5 cm
The perimeter of the semicircle is given by :

So, the perimeter of the semicircle is 15.71 cm.