Answer:
54π cm²
Step-by-step explanation:
It's pi, or π, but definitely not "pie."
The surface area has two parts: the vertical side and the two ends.
The formula for the area of the vertical sides is A = πr²h, where r is the radius and h is the height. Here, we have:
A = π(3 cm)²(5 cm) = 45π cm²
Each of the ends has the following area: A = πr², or A = 9π cm²
Thus, the total surface area of the cylinder is 45π cm² + 9π cm², or 54π cm²
The transformation from the first equation to the second one can be found by finding
a
a
,
h
h
, and
k
k
for each equation.
y
=
a
|
x
−
h
|
+
k
y
=
a
|
x
-
h
|
+
k
Factor a
1
1
out of the absolute value to make the coefficient of
x
x
equal to
1
1
.
y
=
|
x
|
y
=
|
x
|
Factor a
1
1
out of the absolute value to make the coefficient of
x
x
equal to
1
1
.
y
=
|
x
|
−
4
y
=
|
x
|
-
4
Find
a
a
,
h
h
, and
k
k
for
y
=
|
x
|
−
4
y
=
|
x
|
-
4
.
a
=
1
a
=
1
h
=
0
h
=
0
k
=
−
4
k
=
-
4
The horizontal shift depends on the value of
h
h
. When
h
>
0
h
>
0
, the horizontal shift is described as:
g
(
x
)
=
f
(
x
+
h
)
g
(
x
)
=
f
(
x
+
h
)
- The graph is shifted to the left
h
h
units.
g
(
x
)
=
f
(
x
−
h
)
g
(
x
)
=
f
(
x
-
h
)
- The graph is shifted to the right
h
h
units.
Horizontal Shift: None
Answer:
86º
Step-by-step explanation:
If this is a trriangle the sum of the angles is 180º
180 - 45 - 49 = 86º
Question 7. y = -2x + 7. y = mx + b; m= slope (-2) (3, 1) resolve for y. you have : 1= -2 (3) + b; 1 = -6 + b; 1 + 6 = b; b = 7.
