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Sliva [168]
4 years ago
15

Please Help!! A septic tank has the shape shown in the figure. How many gallons does it hold? (1 cu ft = 7.48 gallons.) (Round t

o the nearest gallon)

Mathematics
1 answer:
Hoochie [10]4 years ago
3 0

The overall volume is the sum of the volume of a cylinder of height 5'9" and diameter 3'6", and a sphere of diameter 3'6" (two hemispheres = full sphere).

Volume of the cylinder = (area of the base) x (height) = pi * (diameter/2)^2 * 5.75ft = 3.1415 * (3.5ft/2)^2 * 5.75 ft = 55.32 ft^3

Volume of the sphere = 4/3 * pi * (3.5ft)^3 / 8 = 22.45 ft^3

Total volume = (Volume of cylinder) + (Volume of sphere) = (55.32 + 22.45) ft^3 = 77.77 ft^3

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3. Write a simplified algebraic expression for<br> the model
ICE Princess25 [194]

The simplified algebraic expression for the model is x = -1

<h3>What are algebraic expressions?</h3>

Algebraic expressions are known as mathematical statements gotten when operations such as addition, subtraction, multiplication, division, etc. are operated or used on variables and constants

From the figure given;

We have:

  • x
  • x
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Now, let's add the variables

= x + x - x

= 2x - x

= x

For the constants

= -1^6 = -1

= 1 ^5 = 1

= 1 × -1 = -1

Thus, the simplified algebraic expression for the model is x = -1

Learn more about algebraic expressions here:

brainly.com/question/4344214

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8 0
1 year ago
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Liono4ka [1.6K]

Answer:

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5 0
3 years ago
Read 2 more answers
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Integers are whole numbers that can be negative or positive. Irrational numbers are numbers with repeating ends while natural numbers are positive whole numbers only. rational numbers are fractions. hence the answer to this problem is D. 
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Answer:

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