Answer:
x=-43/5
Step-by-step explanation:
Using Pythagorean Theorem, 15^2-9^2=12^2, so the length AD equals to 12. DC is 12sqrt(3) because the side facing the 60 degree angle is always sqrt(3) times larger than the side facing the 30 degree angle. Lastly, AC is two times AD, which is 24.
Adding the side lengths up, AB+AC+DC+BD=15+24+12sqrt(3)+9=48+12sqrt(3).
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
I hope this helps!
Answer:
x = 8
Step-by-step explanation:
small triangle is similar to larger one
set up a proportion: <u> 9 </u> = <u> x + 4 </u>
9+12 x+4+2x
<u> 9 </u> = <u> x+ 4 </u> cross-multiply: 9(3x + 4) = 21(x + 4)
21 3x + 4 27x + 36 = 21x + 84
6x + 36 = 84
6x = 48
x = 8