Answer:
C. 60 ft
Step-by-step explanation:
If triangles ABC and EDC are in a 1:1 relation, they are congruent, and
AC = EC
5x - 5 = 3x + 9
5x = 3x + 14
2x = 14
x = 7
AC = 5x + 5 = 5(7) - 5 = 35 - 5 = 30 ft
EC = 3x + 9 = 3(7) + 9 = 21 + 9 = 30 ft
Distance between top and bottom of bridge = AC + EC = 30 + 30 = 60 ft
Solution:
Let me define pyramid first.A pyramid is a Polyhedron , whose base can be any polygon and it's faces are triangular which meet at a point called vertex.
Volume of Pyramid = ![\frac{1}{2}\times{\text{Area of Base}\times{\text{Height}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%7B%5Ctext%7BArea%20of%20Base%7D%5Ctimes%7B%5Ctext%7BHeight%7D)
Side of base which is an equilateral triangle= 4 cm
Area of whole pyramid = 12 square cm
Area of Equilateral triangle having side 4 cm=
cm²
So, Area of three triangle which are faces of pyramid = (12 - 4 √3)cm²
Area of triangle = ![\frac{1}{2} \times (Base)\times(Height)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%28Base%29%5Ctimes%28Height%29)
12 - 4 √3= ![\frac{1}{2} \times (4)\times(Height)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%284%29%5Ctimes%28Height%29)
Height =
Height=(6-2√3) cm
Volume of pyramid = Area of Equilateral triangle which is it's Base × Height of Pyramid
=4√3 × (6-2√3) cm³
=(24 √3 -24)
= 24 (1.732-1)
=24 × 0.732
=17.568 cm³
I think this is the answer. if not sorry
Step-by-step explanation:
![6.42 \times 10^8](https://tex.z-dn.net/?f=6.42%20%5Ctimes%2010%5E8)
By calculator
Answer:
what they said ^^
Step-by-step explanation:
I did this so no one puts the incorrect answer