Answer:
Sharing cone holds 9 times more popcorn than a skinny cone.
Step-by-step explanation:
Height of each cone = 9 inches
Radius of the sharing size cone = 3 times radius of the skinny size cone
Let the radius of skinny size cone = r
Then radius of the sharing size cone = 3r
Volume of the sharing size cone =
=
= 27πr²
Volume of the skinny size cone =
=
= 3πr²
Ratio of the volumes =
=
= 9
Therefore, sharing cone holds 9 times more popcorn than a skinny cone.
the answer is 2
there are 13 days, 6x2=12. so the answer is 2.
Answer:
X = 9
Step-by-step explanation:
6(x−3)=3x+9
(6)(x)+(6)(−3)=3x+9
6x+−18=3x+9
6x−18=3x+9
6x−18−3x=3x+9−3x
3x−18=9
3x−18+18=9+18
3x=27
3x
/3 = 27
/3
Answer:
(3/8) + (1/8)cos 4x - (1/2)cos 2x
Step-by-step explanation:
sin^(4) x = (sin² x ) (sin² x) ------ (1)
Recall double angle identity: cos 2x = 1 - 2 sin² x
or sin² x = (1/2) (1 - cos 2x)
substituting this into (1)
sin^(4) x = (sin² x ) (sin² x) = [ (1/2)(1-cos 2x) ]²
= (1/4) ( 1 - 2 cos 2x + cos²2x) ------(2)
Also recall double angle identiy : cos 2x = 2 cos² x - 1
or cos² x = (1/2) ( 1+ cos 2x)
or cos² 2x = (1/2) ( 1+ cos 4x)
substituting this into (2)
(1/4) ( 1 - 2 cos 2x + cos²2x)
= (1/4) [ 1 - 2 cos 2x + (1/2)(1 + cos 4x) ] (expand and reduce)
= (3/8) + (1/8)cos 4x - (1/2)cos 2x
Answer:
240 cm^2
Step-by-step explanation:
Comment
There are 2 ends that are in the shape of a triangle
There is 1 base that is rectangular
There are 2 roof tops that are rectangular in shape.
Find the area of the triangles, base, 2 roof parts.
Solution
<em>1 base</em>
w = 4 cm
L = 12 cm
Area = L*w
Area = 12*4
Area = 48 cm^2
<em>Two Triangles</em>
B = 4 cm
H = 6 cm
Area = 1/2 b * h
Area = 1/2 6 * 4
Area = 12 cm
But there are 2 triangles
Area 2 triangles 24 cm^2
<em>Two roof tops</em>
L = 12 cm
w = 7 cm
Area = L*w for one roof top
Area = 12*7 cm
Area = 84 cm^2
But there are 2 of them <u> 168 cm^</u>2
Total Area 240 cm^2