The answer is <span>A.0.5 moles
</span><span>a mole of sodium chloride weighs approximately 58 grams: 1 M - 58 g
</span><span>you have 29 grams of sodium chloride, how many moles of sodium chloride do you have: xM - 29g
1 M : 58g = x : 29 g
x = 1 M : 58g * 29 g = 0.5 M</span>
Answer:
F) y=3x+13
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=3(x-(-5))
y+2=3(x+5)
y=3x+15-2
y=3x+13
Answer:
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joules
W= 19.958778MegaJoules
Step-by-step explanation:
Work to full the tank is
W = mgh.
m is the mass of the water.
But density = mass/volume, where volume is the volume of the complete the remaining half full of water to fill the cylindrical tank.
mass = density x volume.
Volume of cylinder = πr2h
Volume to fill the cylinder = (πr2h)/2.(half of total volume)
Volume = (22x4x4x9)/(7x2). Height used is 18/2 = 9m
Volume = 226.29m3.
Mass = density x volume= 1000 x 226.29 = 226290kg
Therefore, the work is
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joule = 19.958778MegaJoules
Answer:
Height of the light house ![=7.5\ feet](https://tex.z-dn.net/?f=%3D7.5%5C%20feet)
Step-by-step explanation:
Distance of light house from boat = 100 ft
Angle of elevation from boat to the top of light house = 2°
Height above water while taking measurement = 4 ft
The figure of the situation is shown below.
For Δ ABC
![\tan2\°=\frac {AB}{BC}](https://tex.z-dn.net/?f=%5Ctan2%5C%C2%B0%3D%5Cfrac%20%7BAB%7D%7BBC%7D)
![\tan2\°=\frac {AB}{100}](https://tex.z-dn.net/?f=%5Ctan2%5C%C2%B0%3D%5Cfrac%20%7BAB%7D%7B100%7D)
![0.035=\frac {AB}{100}](https://tex.z-dn.net/?f=0.035%3D%5Cfrac%20%7BAB%7D%7B100%7D)
Multiplying both sides by 100.
![100\times 0.035=100\times\frac {AB}{100}](https://tex.z-dn.net/?f=100%5Ctimes%200.035%3D100%5Ctimes%5Cfrac%20%7BAB%7D%7B100%7D)
![3.5=AB](https://tex.z-dn.net/?f=3.5%3DAB)
∴ ![AB=3.5](https://tex.z-dn.net/?f=AB%3D3.5)
Height of the light house ![=3.5+4=7.5\ feet](https://tex.z-dn.net/?f=%3D3.5%2B4%3D7.5%5C%20feet)