) Match the following up top to the terms on the bottom:Triangle, Circle, Sphere, Great circle, Ellipse. a. diagonal cross section of a cylinder b. cross section parallel to the base of a cone c. shape created when a semi-circle is rotated about the y-axis d. diagonal cross section through the widest part of a sphere e. perpendicular cross section of a cone

a. Ellipse.

b. Circle.

c. Sphere.

d. Great circle.

e. Triangle.

Step-by-step explanation:

a. As seen below, if you have a cylinder, and you diagonally cut it, you will have an ellipse.

b. If you cut a cone parallel to its base, you will have a circle.

c. When you rotate a semi-circle around an axis, you will have a sphere.

d. A great circle is the intersection of the sphere and a plane that passes through the center point of the sphere. So, it is the diagonal cross section through the widest part of the sphere.

e. When you cut a cone perpendicular to the base, you get a triangle.

Hope this helps!

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584