Answer: BC is 9 units long
==============================================================
Work Shown:
Let x be the length of segment BC.
BC is parallel to DE, so this means that triangle ABC is similar to triangle ADE.
Side AB pairs with side AD (both are horizontal sides of triangle ABC and triangle ADE respectively)
Side BC pairs with side DE (both are vertical sides of triangle ABC and triangle ADE respectively)
Because of those facts above, we can end up with this proportion
AB/AD = BC/DE
-------------------
Let's plug in the given values and isolate x
AB/AD = BC/DE
12/20 = x/15
12*15 = 20*x ... cross multiply
180 = 20x
20x = 180
20x/20 = 180/20 ... divide both sides by 20
x = 9
Segment BC is 9 units long.
note: There is no need to calculate the length of segment AE. Though you are correct in stating that AE = 25.
Answer:
46.37 square units
Step-by-step explanation:
If the right triangle is revolved the figure shown about the y-axis completely, the figure will be formed as a cone. As you can see in my attached photo.
So, the radius of the cone is : 2 units
the slant height is: = (use pytagon theory)
Hence, the total surface area of the resulting figure
SA = π * the radius * the slant height + π*
= 3.14*2* + 3.14*2*2
= 33.81 + 12.56
=46.37 square units
Answer:
41.666 cm³ or 41.7 cm³ rounded to the nearest tenth.
Step-by-step explanation:
Volume of a square pyramid = base length² × height ÷ 3
25 × 5/3 = 41. 666
Have a great day:)