Answer:
x = 11
Step-by-step explanation:
In ΔSTU ,
m∠S = (11x+3)° ; m∠T = (2x+16)° ; m∠U = (x+7)°
According to angle sum property of a triangle , sum of all the interior angles of the triangle is 180°.
So,
What figures must be inscribed in one another so that Cavalieri's principle can be applied to the volume of a sphere?
2 answers:
Answer:
Right cone in a cylinder is inscribed in one another so that Cavalieri's principle can be applied to the volume of a sphere
Step-by-step explanation:
We have to tell what figures must be inscribed in one another so that Cavalieri's principle can be applied to the volume of a sphere
Cavalieri's principle states that
If between the same parallel lines any two plane figures are drawn, and if in them, any straight lines being drawn equidistant from the parallel lines, the included portion of any one of lines are equal, the plane figures also equal to one another.
As, volume of the hemisphere is two-third of cylinder and that of the whole sphere is four-third of the volume of cylinder. The latter is , making the volume of the sphere
.
Hence, right cone in a cylinder is inscribed in one another so that Cavalieri's principle can be applied to the volume of a sphere.
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= 75 hours
4 and a half hour repairs 6% of the entire boat so it is
4 1/2 multiplied by 6/100's inverse number
Answer:
Step-by-step explanation:
The function that we have to study in this problem is
The domain of a function is defined as the set of all the possible values of x that the function can take.
For a square-root function, there are some limitations to the possible value of the argument in the root.
In particular, the argument of a square root must be equal or greater than zero, because the square root of a negative number is not defined.
Therefore, in this case, we have to set the following condition for the domain:
And by solving, we get
which means that the domain of this function is all real numbers equal or greater than 5.