Answer:
![d = |- 5- 9|](https://tex.z-dn.net/?f=d%20%3D%20%7C-%205-%209%7C)
Step-by-step explanation:
Given
![Initial = 9^\circ F](https://tex.z-dn.net/?f=Initial%20%3D%209%5E%5Ccirc%20F)
![Final = -5^\circ F](https://tex.z-dn.net/?f=Final%20%3D%20-5%5E%5Ccirc%20F)
Required
Determine the difference
Represent this with d.
d is calculated using
![d = |Final - Initial|](https://tex.z-dn.net/?f=d%20%3D%20%7CFinal%20-%20Initial%7C)
The equation becomes
![d = |- 5- 9|](https://tex.z-dn.net/?f=d%20%3D%20%7C-%205-%209%7C)
Answer: 34.64 m
Step-by-step explanation:
Given: A boat is 60 m from the base of a lighthouse.
The angle of depression between the lighthouse and the boat is 37°.
By using trigonometric ratios :
![\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}](https://tex.z-dn.net/?f=%5Ctan%20x%3D%5Cdfrac%7B%5Ctext%7BSide%20opposite%20to%20%7Dx%7D%7B%5Ctext%7BSide%20adjacent%20to%20%7Dx%7D)
here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m
![\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64](https://tex.z-dn.net/?f=%5Ctan%2037%5E%7B%5Ccirc%7D%3D%5Cdfrac%7Bh%7D%7B60%7D%5C%5C%5C%5C%5CRightarrow%5C%200.57735%3D%5Cdfrac%7Bh%7D%7B60%7D%5C%5C%5C%5C%5CRightarrow%5C%20h%3D%2060%5Ctimes0.57735%5Capprox34.64)
Hence, the lighthouse is 34.64 m tall.
Answer:
v = 9
Step-by-step explanation:
50 = 6v - 4
50 + 4 = 6v
54 = 6v
6v/6 = 54/6
v = 9
Answer:
The number of persons entering the bank based on given 20 simulations are 12
The number of persons exiting the bank based on given 20 simulations are 8
We have to find the probability that she will see a person entering the bank.
The probability that she will see a person entering the bank is:
![\frac{12}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B20%7D)
![0.6](https://tex.z-dn.net/?f=0.6)
Therefore, the option 0.600 is correct.