Answer:
see explanation
Step-by-step explanation:
Using the sum to product identity
cosx + cosy = 2cos(
)cos( 
)
Consider left side
(cos5A +cos3A) + (cos15A + cos7A)
= 2cos(
)cos(
) + 2cos( 
) cos( 
)
= 2cos(
) cos(
) + 2cos(
)cos( )
= 2cos4AcosA + 2cos11A cos4A ← factor out 2cos4A from both terms
= 2cos4A( cos11A + cosA) ← repeat the process
= 2cos4A( 2cos(
)cos(
)
= 2cos4A(2cos(
)cos(
)
= 2cos4A(2cos6A cos5A)
= 4cos4Acos5Acos6A
= right side , thus verified
Answer: x-7=20
Step-by-step explanation:
+7 on both sides canceling out the -7 and making the equation x=27
The figure shown below illustrates the problem.
The volume of the empty cone is
V₁ = (1/3) π r²h
The volume of the sphere is
V₂ = (4/3) π r³
Because the melted ice cream completely fills the cone, therefore
V₁ = V₂
(1/3) π r² h = (4/3) π r³
Divide each side by (1/3) π r².
h = 4r
Answer:
The height of the cone is 4 times greater than the radius f the cone.
Answer:
75
Step-by-step explanation:
