Answer:
2sin2(x). cos( x)
Step-by-step explanation:
As per the trigonometric identities sin3(x)= 3sin(x) - 4sin^3 (x)
putting this in the given expression
sin3x +sinx = 3sin(x) - 4sin^3 (x)+ sinx
= 4sinx - 4sin^3 (x)
= 4sinx(1 - sin^2 (x))
As per the trigonometric identities cos^2(x) = 1-sin^2 (x)
putting this in the above expression
= 4sinxcos^2 (x)
= 2cos(x) (2sin(x)cos(x))
As per the trigonometric identities 2sinx.cosx = sin2(x)
putting this in the above expression
= 2cosx sin2(x)
=2sin2(x). cos( x)
!
The volume of the red bird feeder will be equal to V=651.88 cubic inches
<h3>What is volume?</h3>
Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid.
It is given that:-
Diameter = 10 inches
Height = 8.3 inches
Volume=?
Since the feeder is cylindrical so the volume will be calculated as:-
![\rm Volume=\dfrac{\pi }{4}d^2H\\\\\\Volume=\dfrac{\pi }{4}(10)^2(8.3)\\\\\](https://tex.z-dn.net/?f=%5Crm%20Volume%3D%5Cdfrac%7B%5Cpi%20%7D%7B4%7Dd%5E2H%5C%5C%5C%5C%5C%5CVolume%3D%5Cdfrac%7B%5Cpi%20%7D%7B4%7D%2810%29%5E2%288.3%29%5C%5C%5C%5C%5C)
V=651.88 cubic inches
Hence volume of the red bird feeder will be equal to V=651.88 cubic inches
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Let x=L.
Then let 3x+2=W
Giving you 124=(x)+(x)+(3x+2)+(3x+2)
Then simplify and solve.
124=8x+4
124-4=8x
120=8x
120/8=x
15=x
Then put that value back into the original equations to find the dimensions.
x=L
15=Length
and
3x+2=W
3(15)+2=W
77=Width
Answer:
non-linear because there is not a constant rate of change
Step-by-step explanation:
x y
175 213
167 219
145 179
86 98
175-167=8
167-8=159
Answer: 1/2 of 12 = 1/4 of 24 and 1/3 of 90 = 2/3 of 45
Step-by-step explanation: