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Pachacha [2.7K]
3 years ago
7

Determine whether the graphs of 7= 5x+9 and -y = -5x -9 are parallel, perpendicular, coincident, or none of these.

Mathematics
1 answer:
3241004551 [841]3 years ago
6 0
Assuming your first equation is y = 5x+9, the equations describe lines that are coincident.

_____
Multiplying the second equation by -1, it becomes y = 5x+9, the same as the first equation.
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The city council plans to build a new water storage tank for the community. The tank is cylindrical with a base diameter of 25 f
Stella [2.4K]

Answer:

a. 14726.216ft^{3}

b. 110446.62gal

Step-by-step explanation:

I attach the diagram of the new water tank.

a. In order to find the volume of the tank in cubic feet, we will need to calculate the volume of a cylinder. We know that its base measures 25ft and its height is 30ft.

The volume ''V'' of a cylinder is :

V=(\frac{\pi D^{2}}{4}).(H)

Where ''D'' is the diameter of the base and ''H'' is the height of the cylinder.

If we replace all the data in the equation :

V=\frac{\pi .(25ft)^{2}}{4}.(30ft)=14726.216ft^{3}

We found out that the volume of the tank in cubic feet is 14726.216ft^{3}

b. We know that 1 cubic foot of water is equal to 7.5 gallons. To find the amount of gallons that the new tank can hold, we need to do an unit conversion.

This equivalence is given to us :

1ft^{3}=7.5gal ⇒ Using the equivalence ⇒

(14726.216ft^{3}).(\frac{7.5gal}{1ft^{3}})=110446.62gal

Finally, the new tank will hold 110446.62gal of water.

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3 years ago
Jake has $40. Sam has $6 less than Jake. How much money do Jake and Sam have combined?
ololo11 [35]

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$#4 Find the value of x. Round answer to nearest tenth.
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Answer:

Step-by-step explanation:

From the given right angle triangle,

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Sin 54 = 19/x

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