to find the mode of the data set it's the number that occurs the most so 8 is the answer
Wouldn't it be 150 cubic centimeters? Since it has the same area of base and height, it would be the same prism.
The volume of sphere is 
inches cubed.
Step-by-step explanation:
Given,
Diameter of sphere = 10 inches
Radius of sphere = 
Radius of sphere = 5 inches
Volume of sphere = 
V = 
The volume of sphere is inches cubed.
Keywords: volume, division
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Answer:
135 and 315degrees
Step-by-step explanation:
Given the expression
4tan²θ+tanθ=−4tanθ−1
Equate to zero
4tan²θ+tanθ+4tanθ+1 = 0
4tan²θ+5tanθ+1 = 0
Let x = tanθ
4x²+5x+1 = 0
Factorize;
4x²+4x+x+1 = 0
4x(x+1)+1(x+1) = 0
4x+1 = 0 and x+1 = 0
4x = -1 and x = -1
x = -1/4 and -1
Since x = tanθ
-1 =tanθ
θ = arctan(-1)
θ = -45degrees
Since tan is negative in the 2nd and fourth quadrant;
In the second quadrant
θ = 180 - 45 = 135degrees
In the fourth quadrant;
θ = 360 - 45 = 315degrees
Hence the required angles are 135 and 315degrees
