Answer:
36in²
Step-by-step explanation:
<h3>Area of the White Region: </h3>
A = l * w
The rectangle is 3 by 2.
A = 3 * 2
A = 6
The white part of the rectangle is 6in².
<h3>Area of the blue region:</h3>
A = l * w
The rectangle is 6 by 7.
A = 6*7
A = 42
The blue part of the rectangle is 42in².
<h3>Area of the shaded region:</h3>
[area of the blue part] - [area of the white part]
42 - 6 = 36
The area of the shaded region should be 36in².
Answer:
Explanation:
We must write this equation in the form
(
x
−
a
)
2
+
(
y
−
b
)
2
=
r
2
Where
(
a
,
b
)
are the co ordinates of the center of the circle and the radius is
r
.
So the equation is
x
2
+
y
2
−
10
x
+
6
y
+
18
=
0
Complete the squares so add 25 on both sides of the equation
x
2
+
y
2
−
10
x
+
25
+
6
y
+
18
=
0
+
25
=
(
x
−
5
)
2
+
y
2
+
6
y
+
18
=
0
+
25
Now add 9 on both sides
(
x
−
5
)
2
+
y
2
+
6
y
+
18
+
9
=
0
+
25
+
9
=
(
x
−
5
)
2
+
(
y
+
3
)
2
+
18
=
0
+
25
+
9
This becomes
(
x
−
5
)
2
+
(
y
+
3
)
2
=
16
So we can see that the centre is
(
5
,
−
3
)
and the radius is
√
16
or 4
6d -11/2 = 2d -13/2
Subtract 2d from both sides
6d -11/2 - 2d = 2d -13/2 - 2d
Simplifying
4d -11/2 = -13/2
Add 11/2 to both sides
4d -11/2 + 11/2 = -13/2 + 11/2
Simplifying
4d = -2/2
4d = -1
Divide both sides by 4
4d/4 = -1/4
Simplifying
d = - 1/4
Answer: 62.8cm^2
Step-by-step explanation:
The surface area of a cylinder is calculated by 2πrh+2πr2
where π is a constant, given as 3.14; h is the height, given as 3cm and r is radius, given as 2cm.
Therefore, rh = 3 x 2= 6 cm ^2 while r^2 =2 × 2= 4 cm^2.
Slot the values into the formula:
V= 2 (3.14) x 6 + 2 (3.14) x 4
V=37.68 + 25.12
V=62.8cm ^2
I hope this helps
The answer to 5,22 as a fraction is 5/22
