-x -2 I think . 3-(-5)= -2 and 2x -3x = -x
The angle m∠UVW can be found using angle of circumference rule in geometry. Therefore, m∠UVW = 67°
<h3 /><h3>Angle on a circumference</h3>
An angle at the circumference of a circle is half the angle at the centre standing on the same arc.
In other words, the angle at the centre of a circle is twice the angle at the circumference.
Therefore,
m∠UVW = 134 / 2
m∠UVW = 67 degrees
learn more on geometry here; brainly.com/question/16836055
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Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
and
and integrating:
and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed
Calculator estimates 4/13 is .3076 and 3/10 to be .3 so 4/13 is larger
3/10 is rational because decimal can be predicted unlike 4/13 which keeps going