Which of the following is a requirement for a trinomial to be factored as a perfect square? A. The coefficient for the x^2 term
1 answer:
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Part a:
The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.
Thus, the circumference of the circle = Length of the arc formed by angle </span>θ = 9π/5 at the center which is given by
Part b:
The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.
</span>Recall that the circumference of a circle is given by
and having obtained from part a that the circumference of the circular opening is 
cm.
Thus,
Part c:
The height of the cup can be obtained by noticing that the radius, height and the slant height of the cup forms a right triangle with the height and the radius as the legs and the slant height as the hypothenus.
Using pythagoras theorem, the height of the cup is obtained as follows:
where: h is the height, r is the radius and l is the slant height.
Part d
Recall that the volume of a cone is given by
Thus, the volume of the cup is given by
The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.
Thus, the circumference of the circle = Length of the arc formed by angle </span>θ = 9π/5 at the center which is given by
Part b:
The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.
</span>Recall that the circumference of a circle is given by
Thus,
Part c:
The height of the cup can be obtained by noticing that the radius, height and the slant height of the cup forms a right triangle with the height and the radius as the legs and the slant height as the hypothenus.
Using pythagoras theorem, the height of the cup is obtained as follows:
where: h is the height, r is the radius and l is the slant height.
Part d
Recall that the volume of a cone is given by
Thus, the volume of the cup is given by
Answer:
KJ = 22
Step-by-step explanation:
From the given diagram, since the figure are similar we can compare their sides.
So that,
=
Let KJ be represented by x. But;
JL = 28, PR = 42 and PQ = 33
Thus,
=
x =
=
= 22
x = 22
The n,
KJ = 22