<h2>Answer:</h2>
[1] Area of base = 13 × 13 = 169in².
Area of faces = 4 (1/2 × 13 × 8) = 208in².
Surface area = (169 + 208)in² = 377in².
[2] Area of base = 1/2 × 5.2 × 4.5 = 11.7in².
Area of faces = 3 (√3/4 × 5.2²) = 35.1in².
Surface area = (35.1 + 11.7)in² = 46.8in².
[3] Area of base = 7 × 10 = 70in².
Area of faces = 2(1/2 × 7 × 6) + 2(1/2 × 10 × 4.8)
= 98in².
Surface area = (70 + 98)in² = 168in².
Answer:
![CD = 3](https://tex.z-dn.net/?f=CD%20%3D%203)
Step-by-step explanation:
Given
![CD = x](https://tex.z-dn.net/?f=CD%20%3D%20x)
![BC = 5x - 5](https://tex.z-dn.net/?f=BC%20%3D%205x%20-%205)
![BD = 2x + 7](https://tex.z-dn.net/?f=BD%20%3D%202x%20%2B%207)
Required
Determine CD
Since, C is a point on BD, the relationship between the given parameters is;
![BD = BC + CD](https://tex.z-dn.net/?f=BD%20%3D%20BC%20%2B%20CD)
Substitute the values of BD, BC and CD
![2x + 7 = 5x - 5 + x](https://tex.z-dn.net/?f=2x%20%2B%207%20%3D%205x%20-%205%20%2B%20x)
Collect Like Terms
![2x - 5x - x = -5 - 7](https://tex.z-dn.net/?f=2x%20-%205x%20-%20x%20%3D%20-5%20-%207)
![-4x = -12](https://tex.z-dn.net/?f=-4x%20%3D%20-12)
Divide both sides by -4
![\frac{-4x}{-4} = \frac{-12}{-4}](https://tex.z-dn.net/?f=%5Cfrac%7B-4x%7D%7B-4%7D%20%3D%20%5Cfrac%7B-12%7D%7B-4%7D)
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
To determine the length of CD;
Substitute 3 for x in ![CD = x](https://tex.z-dn.net/?f=CD%20%3D%20x)
Hence;
![CD = 3](https://tex.z-dn.net/?f=CD%20%3D%203)
Cot(-x) = 1 / tan(-x)
Tan(-x) * 1 / tan(-x) = 1
You would get 2015.17568 as the interest rate i believe
There is no solution is the answer. I had this in one of my math tests so I'm positive it's correct :D