Answer:
The volume of the cylinder would be 1539.38
Answer:
Consider the given equation.
4sinxsin2xsin4x=sin3x
2(2sin2xsinx)sin4x=sin3x
We know that
2sinAsinB=cos(A−B)−cos(A+B)
Therefore,
2[cos(2x−x)−cos(2x+x)]sin4x=sin3x
2[cosx−cos3x]sin4x=sin3x
2sin4xcosx−2sin4xcos3x=sin3x
We know that
2sinAcosB=sin(A+B)+sin(A−B)
Therefore,
sin(4x+x)+sin(4x−x)−[sin(4x+3x)+sin(4x−3x)]=sin3x
sin(5x)+sin(3x)−[sin(7x)+sin(x)]=sin3x
sin(5x)−sin(7x)=sin(x)
We know that
sinC−sinD=2cos(
2
C+D
)sin(
2
C−D
)
Therefore,
2cos(
2
5x+7x
)sin(
2
5x−7x
)=sinx
2cos(
2
12x
)sin(
2
−2x
)=sinx
2cos(6x)sin(−x)=sinx
−2cos(6x)sin(x)=sinx
cos6x=−
2
1
6x=2nπ±
3
2π
x=
3
nπ
±
9
π
Hence, the value is
3
nπ
±
9
π
.
<span>DH = x + 2, HF = 2y, GH = 3x – 3, and HE = 5y + 1
DH = HF
</span>x + 2 = 2y
and
GH = HE
3x – 3 = 5y + 1
so now you have
x + 2 = 2y
3x – 3 = 5y + 1
re-write and simply
x = 2y - 2
3x = 5y + 4
substitute x = 2y - 2 into 3x = 5y + 4
3x = 5y + 4
3(2y - 2) = 5y + 4
6y - 6 = 5y + 4
y = 10
x = 2y - 2
x = 2(10) - 2
x = 20 - 2
x = 18
answer
x = 18 and y = 10
Answer:
6
Step-by-step explanation:
8171.28
Sig Figs
6
8171.28
Decimals
2
8171.28
Scientific Notation
8.17128 × 103
E-Notation
8.17128e+3
Words
eight thousand one hundred seventy-one point two eight