Answer: H (131.125 ft^2)
Step-by-step explanation:
first, you need to find the area of the wall
wall:
A=Lw (length times width)
A= 9.75 x 15.5 (I changed them into decimals)
A = 151.125
now you need to find the area of the window
window:
A = Lw
A = 4 x 5
A = 20
now you need to subtract the area of the window from the area of the wall to find the amount of space you need to cover with wallpaper
151.125 - 20 = 131.125
Answer:
Step-by-step explanation:
<u>Given:</u>
- Borrowed amount P = Rs 100000
- Time t = 3 years
- Number of compounds n = 3
- Interest I = Rs 33100
- Rate r = ?
<u>Use formula:</u>
<u>Substitute values and solve for r:</u>
- 33100 = 100000(1 + r)³ - 100000
- 133100 = 100000(1 + r)³
- (1 + r)³ = 133100/100000
- (1 + r)³ = 1.331
- 1 + r = ∛1.331
- 1 + r = 1.1
- r = 0.1 or 10%
Answer:
The simplest form is tan(4x)
Step-by-step explanation:
* Lets revise the identity of the compound angles
- 
- 
* Lets solve the problem
- Let 9x = 5x + 4x
∴ tan(9x) = tan(5x + 4x)
- Use the rule of the compound angle
∵ 
⇒ (1)
∵ 
⇒ (2)
∵ tan(9x) = equation (2)
- Substitute (2) in (1)
∴ 
- Multiply up and down by (1 - tan(5x)tan(4x))
∴ ![\frac{tan(5x)+tan(4x)-tan(5x)[1-tan(5x)tan(4x)]}{1-tan(5x)tan(4x)+tan(5x)[tan(5x)+tan(4x)]}](https://tex.z-dn.net/?f=%5Cfrac%7Btan%285x%29%2Btan%284x%29-tan%285x%29%5B1-tan%285x%29tan%284x%29%5D%7D%7B1-tan%285x%29tan%284x%29%2Btan%285x%29%5Btan%285x%29%2Btan%284x%29%5D%7D)
- Simplify up and down
∴ 
∴ ![\frac{tan(4x)+tan^{2}(5x)tan(4x)}{[1+tan^{2}(5x)]}](https://tex.z-dn.net/?f=%5Cfrac%7Btan%284x%29%2Btan%5E%7B2%7D%285x%29tan%284x%29%7D%7B%5B1%2Btan%5E%7B2%7D%285x%29%5D%7D)
- Take tan(4x) as a common factor up
∴ ![\frac{tan(4x)[1+tan^{2}(5x)]}{[1+tan^{2}(5x)]}](https://tex.z-dn.net/?f=%5Cfrac%7Btan%284x%29%5B1%2Btan%5E%7B2%7D%285x%29%5D%7D%7B%5B1%2Btan%5E%7B2%7D%285x%29%5D%7D)
- Cancel [1 + tan²(5x)] up and down
∴ The answer is tan(4x)
Your answer is C. 3 units left and 2 units up. This is because this distance between 1 and -2 is 3 units, and the distance between 3 and 5 is 2 units. The scale factor would be 1.75, because 7 ÷ 4 = 1.75
I hope this helps
Answer:
vertex = (3, 2)
minimum
Step-by-step explanation:
