Answer:
whichever of these formats you need its the same answer (16/6) or 2.66666 or (2 and 2/3rds)
Step-by-step explanation:
replace smaller variable with x for example
(x) + (5x-1) = 17
6x-1=17
6x=16
x=(16/6 or 2.666666 or 2and2/3)
The question is incomplete. The complete question is :
Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.
Answer:
67.5 
Step-by-step explanation:
Given that :
Cylinder A and cylinder B are similar.
Let volume of cylinder A = 20
We know the volume of a cylinder is given by V = 
where, r is the radius of the cylinder
h is the height of the cylinder
We have to find the scale factor.
The length scale factor is = 
Area scale factor 
∴ Volume scale factor 
Therefore, the volume of cylinder B is 
= 67.5
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
1) Angle 5π / 3 radians:
Convert radians to degrees: 5π/3 × 180° / π = 300°
300° is in the fourth quadrant
The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.
∴ The reference angle for this angle is 60°.
2) Angle 5π / 6 radians:
Convert radians to degrees: 5π/6 × 180° / π = 150°
150° is in the second quadrant
The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.
∴ The reference angle for this angle is 30°.
3) Conclusion:
Since the reference angles are different, the tangent ratios have different values.
tan (5π/3) = - tan(60°) = - √3
tan (5π/6) = - tan(30°) = - (√3)/3
Note that the tangent is negative in both second and fourth quadrants.
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Cos(theta) = adjacent/hypotenuse
cos(theta) = 6/20
cos(theta) = 0.3
Use the inverse cos or cos^-1 on your calculator to get the angle
theta = 72.5
Answer:
A. 106 + 2x + 50 = 180
Step-by-step explanation:
A. 106 + 2x + 50 = 180. Correct.
B. 2x + 50 = 180. Incorrect. Angle is not a Straight Angle.
C. 2x + 50 = 106. Incorrect. That equals the first angle.
hope this helps.
