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kumpel [21]
3 years ago
10

I REALLY need help on this question!

Mathematics
1 answer:
kap26 [50]3 years ago
4 0
It's 3, I believe. Divide both point "A"'s buy each other

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A gas station stores its gasoline in a tank underground. The tank is a cylinder lying horizontally on its side. The radius is 5
atroni [7]

Answer:

The exact work required to pump all the gasoline to the surface of the ground is π × 5.094 × 10⁶ j

Step-by-step explanation:

Here, we note that volume of a slice is given by

Length × Width × Height

Length of slice = Length of cylinder = 15 ft

Since the slice height is Δy ft thick and located y ft above the center of the cylinder, then

Width of slice = 2 × √(r² - y²)

Where:

r = Radius of the cylinder =5 ft

∴ Width of slice = 2 × √(25 - y²)

∴Volume of slice = 15 ×2 × √(25 - y²)×Δy

Mass of slice then = 42 × 15 ×2 × √(25 - y²)×Δy = 1260 × √(25 - y²)×Δy

The force required to lift the slice is the weight of the slice, which is given by

32.2 × 1260 × √(25 - y²)×Δy = 40572 × √(25 - y²)×Δy N (Newtons)

The work done by the force is the product of the force and the distsnce through which the force acts.

Work done = 40752×(10-y) × √(25 - y²)×Δy

Therefore total work done is given by

W = \int\limits^5_{-5} {40752\times (10-y) \times \sqrt{ (25 - y^{2} )} } \, dy

 

= 5094000·π J = π × 5.094 × 10⁶ j

The exact work required to pump all the gasoline to the surface of the ground = π × 5.094 × 10⁶ j

6 0
3 years ago
This is hard i need help
lozanna [386]

Answer:

X=105

Step-by-step explanation:

Add angles

55+50 = 105

subtract from 180

180-105 = 75

it’s consecutive angles so subtract from 180

180-75 = 105

7 0
3 years ago
Read 2 more answers
The snow is now 52 inches deep. If this was a 77% decrease, what was the initial depth? What equation can help you find this?
IrinaVladis [17]

Answer:

The required equation is:

0.23x = 52

Hence, option A is true.

Step-by-step explanation:

Given

Let 'x' be the initial depth

The snow is now 52 inches deep and it is a 77% decrease.

Let the initial 'x' depth be represented as 100%.

x → 100%

Given the current 52 inches is a 77% decrease. So, we need to decrease the 77/100 or 0.77 from the initial depth, so

[100% - 77%] of x = 52

[100/100 - 77/100] × x = 52

[1 - 0.77] × x = 52

0.23x = 52

Therefore, the required equation is:

0.23x = 52

Hence, option A is true.

7 0
3 years ago
The ratio of blue marbles to green marbles in the bag was 5 to 8. If there were 45 blue marbles, how many green marbles were in
stellarik [79]

Answer:

72 green marbles

Step-by-step explanation:

45 divided by 5 is 9 so 8 times 9 is 72

8 0
2 years ago
*BRAINLIEST* someone please help!!! the answer I put is wrong the it has to be one of the three options
lorasvet [3.4K]
C because I believe it’s the only one that comes out to positive 3

I hope this helps!!
7 0
3 years ago
Read 2 more answers
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