Answer:
x = 10√3
Step-by-step explanation:
Because of the right angles, we can use Pythagoras
30² - x² = y² (a) Largest triangle
y² - 20² = h² (b) Medium triangle
substitute y² from (a) into (b)
30² - x² - 20² = h²
500 - x² = h² (d)
x² - h² = (30 - 20)² (c) smallest triangle
substitute h² from (d) into (c)
x² - (500 - x²) = 100
2x² = 600
x² = 300
x = 10√3
Answer:
0.8X = Final cost
Step-by-step explanation:
Given that jeans are on sale for 20% off the regular price, to determine which function would give you the total cost for purchasing a pair of jeans that costs X dollars, the following calculation must be performed:
1X = Initial cost of the jeans
20% = 0.2
1 - 0.2 = 0.8
0.8X = Final cost
Answer:
E
Step-by-step explanation:
2^2 = 4
√(4^2 + √5 ^2) = √21
Answer
(a) 
(b) 
Step-by-step explanation:
(a) 
δ(t)
where δ(t) = unit impulse function
The Laplace transform of function f(t) is given as:
where a = ∞
=> 
where d(t) = δ(t)
=> 
Integrating, we have:
=> 
Inputting the boundary conditions t = a = ∞, t = 0:
(b) 
The Laplace transform of function f(t) is given as:
Integrating, we have:
![F(s) = [\frac{-e^{-(s + 1)t}} {s + 1} - \frac{4e^{-(s + 4)}}{s + 4} - \frac{(3(s + 1)t + 1)e^{-3(s + 1)t})}{9(s + 1)^2}] \left \{ {{a} \atop {0}} \right.](https://tex.z-dn.net/?f=F%28s%29%20%3D%20%5B%5Cfrac%7B-e%5E%7B-%28s%20%2B%201%29t%7D%7D%20%7Bs%20%2B%201%7D%20-%20%5Cfrac%7B4e%5E%7B-%28s%20%2B%204%29%7D%7D%7Bs%20%2B%204%7D%20-%20%5Cfrac%7B%283%28s%20%2B%201%29t%20%2B%201%29e%5E%7B-3%28s%20%2B%201%29t%7D%29%7D%7B9%28s%20%2B%201%29%5E2%7D%5D%20%5Cleft%20%5C%7B%20%7B%7Ba%7D%20%5Catop%20%7B0%7D%7D%20%5Cright.)
Inputting the boundary condition, t = a = ∞, t = 0:
Answer:
Hey! I believe this is your answer:
11094%
Step-by-step explanation:
