<h3>
Answer: E) 1/5</h3>
========================================================
Method 1
Use your calculator to find the decimal version of each fraction
- 4/10 = 0.40
- 12/25 = 0.48
- 14/20 = 0.70
- 28/50 = 0.56
- 1/5 = 0.20
We see that 0.20 is the smallest decimal of the list, so 1/5 is the smallest fraction of the list.
----------------------------
Method 2
To compare fractions, we need to get all of the denominators to the same value. A good target is the lowest common denominator (LCD)
In this case, the LCD is 100
- 4/10 = 40/100 .... multiply top and bottom by 10
- 12/25 = 48/100 .... multiply top and bottom by 4
- 14/20 = 70/100 .... multiply top and bottom by 5
- 28/50 = 56/100 .... multiply top and bottom by 2
- 1/5 = 20/100 .... multiply top and bottom by 20
The last fraction has the smallest denominator, so 1/5 is the smallest.
Answer:
0.128rad/sec
Step-by-step explanation:
Let x represent the between the man and the point on the path
θ = the angle
dx/dt = 4 ft/s
dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight
tan θ = x/20 ft
Cross Multiply
20tan θ = x
dx/dt = 20sec² θ dθ/dt
dθ/dt = 1/20 × cos² θ dx/dt
dθ/dt= 1/20 × cos² θ × 4
dθ/dt = 1/5 × cos² θ
Note : cos θ = 4/5
dθ/dt = 1/5 × (4/5)²
dθ/dt = 16/125
dθ/dt = 0.128rad/sec
Answer: so the answer is 7.5 for the first one but for the 2nd one i don’t know
Step-by-step explanation:
Answer:
D is halved
Step-by-step explanation:
Given :
If n is doubled :
- D' = -dv/60(2n)
- D' = -dv/120n
- D' = D/2
When n is doubled, D (<u>the drop factor</u>) is half of its original value.
Answer:
![A)\ [-3+ (6-8)] - [40+ (5.3-7) +20.2] = -63.5](https://tex.z-dn.net/?f=A%29%5C%20%5B-3%2B%20%286-8%29%5D%20-%20%5B40%2B%20%285.3-7%29%20%2B20.2%5D%20%3D%20-63.5)
![B)\ -4 + [- 2.6-1 - (- 3.4)] + (- 5) * (- 3) + (- 10) =0.8](https://tex.z-dn.net/?f=B%29%5C%20-4%20%2B%20%5B-%202.6-1%20-%20%28-%203.4%29%5D%20%2B%20%28-%205%29%20%2A%20%28-%203%29%20%2B%20%28-%2010%29%20%3D0.8)
![C)\ -22 * \{- 5+ [8.3- (3.6-9)]\} - (- 2) * (3) =-185.4](https://tex.z-dn.net/?f=C%29%5C%20-22%20%2A%20%5C%7B-%205%2B%20%5B8.3-%20%283.6-9%29%5D%5C%7D%20-%20%28-%202%29%20%2A%20%283%29%20%3D-185.4)
![D)\ -9 - (- 2 + 5) * [- 3 + (- 5) - (+ 2) +1] =18](https://tex.z-dn.net/?f=D%29%5C%20-9%20-%20%28-%202%20%2B%205%29%20%2A%20%5B-%203%20%2B%20%28-%205%29%20-%20%28%2B%202%29%20%2B1%5D%20%3D18)
![E)\ 40 * \{- 12 * [4 + (- 6) * (- 5) -15.3 + 12]\} - 2 =-14738](https://tex.z-dn.net/?f=E%29%5C%2040%20%2A%20%5C%7B-%2012%20%2A%20%5B4%20%2B%20%28-%206%29%20%2A%20%28-%205%29%20-15.3%20%2B%2012%5D%5C%7D%20-%202%20%3D-14738)
![F) -21 * \{- [- 6 * (7-3)] - (7.6-8.3)\} - 89 =-607.7](https://tex.z-dn.net/?f=F%29%20-21%20%2A%20%5C%7B-%20%5B-%206%20%2A%20%287-3%29%5D%20-%20%287.6-8.3%29%5C%7D%20-%2089%20%3D-607.7)
Step-by-step explanation:
![A)\ [-3+ (6-8)] - [40+ (5.3-7) +20.2] =](https://tex.z-dn.net/?f=A%29%5C%20%5B-3%2B%20%286-8%29%5D%20-%20%5B40%2B%20%285.3-7%29%20%2B20.2%5D%20%3D)
Resuelve todas las expresiones en el paréntesis interior
![[-3-2] - [40 -1.7 + 20.2]](https://tex.z-dn.net/?f=%5B-3-2%5D%20-%20%5B40%20-1.7%20%2B%2020.2%5D)
Resuelve cada paréntesis
![B)\ -4 + [- 2.6-1 - (- 3.4)] + (- 5) * (- 3) + (- 10) =](https://tex.z-dn.net/?f=B%29%5C%20-4%20%2B%20%5B-%202.6-1%20-%20%28-%203.4%29%5D%20%2B%20%28-%205%29%20%2A%20%28-%203%29%20%2B%20%28-%2010%29%20%3D)
Resuelve todas las expresiones en el paréntesis interior
![-4 + [-0.2] + (- 5) * (- 3) + (- 10)](https://tex.z-dn.net/?f=-4%20%2B%20%5B-0.2%5D%20%2B%20%28-%205%29%20%2A%20%28-%203%29%20%2B%20%28-%2010%29)
Resuelve todas las multiplicaciones y paréntesis.
![C)\ -22 * \{- 5+ [8.3- (3.6-9)]\} - (- 2) * (3) =](https://tex.z-dn.net/?f=C%29%5C%20-22%20%2A%20%5C%7B-%205%2B%20%5B8.3-%20%283.6-9%29%5D%5C%7D%20-%20%28-%202%29%20%2A%20%283%29%20%3D)
Resuelve todas las expresiones en el paréntesis interior
![-22 * \{- 5+ [8.3 + 5.4]\} - (- 2). (3)](https://tex.z-dn.net/?f=-22%20%2A%20%5C%7B-%205%2B%20%5B8.3%20%2B%205.4%5D%5C%7D%20-%20%28-%202%29.%20%283%29)
Resuelve todas las multiplicaciones y paréntesis.
![D)\ -9 - (- 2 + 5) * [- 3 + (- 5) - (+ 2) +1] =](https://tex.z-dn.net/?f=D%29%5C%20-9%20-%20%28-%202%20%2B%205%29%20%2A%20%5B-%203%20%2B%20%28-%205%29%20-%20%28%2B%202%29%20%2B1%5D%20%3D)
Resuelve todas las expresiones entre paréntesis interiores
![-9 - 3 * [- 3 - 5 - 2 +1]](https://tex.z-dn.net/?f=-9%20-%203%20%2A%20%5B-%203%20-%205%20-%202%20%2B1%5D)
![E)\ 40 * \{- 12 * [4 + (- 6) * (- 5) -15.3 + 12]\} - 2 =](https://tex.z-dn.net/?f=E%29%5C%2040%20%2A%20%5C%7B-%2012%20%2A%20%5B4%20%2B%20%28-%206%29%20%2A%20%28-%205%29%20-15.3%20%2B%2012%5D%5C%7D%20-%202%20%3D)
Resuelve todas las expresiones entre paréntesis interiores
![40 * \{- 12 * [4 - 6 * - 5-15,3 + 12]\} - 2](https://tex.z-dn.net/?f=40%20%2A%20%5C%7B-%2012%20%2A%20%5B4%20-%206%20%2A%20-%205-15%2C3%20%2B%2012%5D%5C%7D%20-%202)
Multiplicar -6 por -5
![40 * \{- 12 * [4 + 30-15.3 + 12]\} - 2](https://tex.z-dn.net/?f=40%20%2A%20%5C%7B-%2012%20%2A%20%5B4%20%2B%2030-15.3%20%2B%2012%5D%5C%7D%20-%202)
Resuelve todas las expresiones en el paréntesis interior
Quitar todos los paréntesis
![F) -21 * \{- [- 6 * (7-3)] - (7.6-8.3)\} - 89 =](https://tex.z-dn.net/?f=F%29%20-21%20%2A%20%5C%7B-%20%5B-%206%20%2A%20%287-3%29%5D%20-%20%287.6-8.3%29%5C%7D%20-%2089%20%3D)
Resuelve todas las expresiones entre paréntesis interiores
![-21 * \{- [- 6 * 4] +0.7\} - 89](https://tex.z-dn.net/?f=-21%20%2A%20%5C%7B-%20%5B-%206%20%2A%204%5D%20%2B0.7%5C%7D%20-%2089)
Multiplicar -6 por 4
Quitar todos los corchetes
