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Rudiy27
2 years ago
8

The Torrence family has a rectangular, in-ground pool in their yard. It holds 1700 ft of water. If it is 17 ft wide and 4 ft dee

p,
what is the length of the pool
Mathematics
1 answer:
xeze [42]2 years ago
4 0

9514 1404 393

Answer:

  25 ft

Step-by-step explanation:

The volume is given by the formula ...

  V = LWD . . . . . the product of length, width, depth

Solving for L, we have ...

  L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft

The length of the pool is 25 ft.

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Simplify 1/a+b + 1/a-b + 2b/a^2-b^2​
Simora [160]

Answer:

−a^2 b^2 + 2a + 2b

_________________

             a^2

Step-by-step explanation:

<u><em>Please mark as brainliest if answer is right</em></u>  

Have a great day, be safe and healthy  

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8 0
2 years ago
I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least $600$
erastova [34]

Answer:

  there is no greatest load

Step-by-step explanation:

Let x and y represent the load capacities of my truck and my neighbor's truck, respectively. We are given two relations:

  x ≥ y +600 . . . . . my truck can carry at least 600 pounds more

  x ≤ (1/3)(4y) . . . . . my truck carries no more than all 4 of hers

Combining these two inequalities, we have ...

  4/3y ≥ x ≥ y +600

  1/3y ≥ 600 . . . . . . . subtract y

  y ≥ 1800 . . . . . . . . multiply by 3

My truck's capacity is greater than 1800 +600 = 2400 pounds. This is a lower limit. The question asks for an <em>upper limit</em>. The given conditions do not place any upper limit on truck capacity.

4 0
3 years ago
Read 2 more answers
Miguel deposited $1,200 into an account that pays simple interest at an annual rate of 4%. What is the value of his initial depo
Angelina_Jolie [31]

Answer:

end of third year = 1,200*(1.02)^3  = 1,273.45 plus

end of second year = 1,200*(1.02)^2 = 1,248.48  plus

end of first year = 1,200*(1.02) = 1,224.00

Total = 3,745.9

Step-by-step explanation:

5 0
3 years ago
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Let y in the form of a + ib, where a and b are real numbers, be the cubic roots of a complex number z 20, where z =2 4+i3. Find
GalinKa [24]

The possible values of a + b are 0.89, 3.01 and -3.9

<h3>How to determine the value of a + b?</h3>

The given parameters are:

y = a + ib

z = 24 + i3

Where:

y = ∛z

Take the cube of both sides

y³ = z

Substitute the values for y and z

(a + ib)³ = 24 + i3

Expand

a³ + 3a²(ib) + 3a(ib)² + (ib)³ = 24 + i3

Further, expand

a³ + i3a²b + i²3ab² + i³b³ = 24 + i3

In complex numbers;

i² = -1 and i³= -i

So, we have:

a³ + i3a²b + (-1)3ab² -ib³ = 24 + i3

Further expand

a³ + i3a²b - 3ab² - ib³ = 24 + i3

By comparing both sides of the equation, we have:

a³ - 3ab² = 24

i3a²b - ib³ = i3

Divide through by i

3a²b - b³ = 3

So, we have:

a³ - 3ab² = 24

3a²b - b³ = 3

Using a graphing tool, we have:

(a,b) = (-1.55, 2.44), (2.89,0.12) and (-1.34,-2.56)

Add these values

a + b = 0.89, 3.01 and -3.9

Hence, the possible values of a + b are 0.89, 3.01 and -3.9

Read more about complex numbers at:

brainly.com/question/10662770

#SPJ1

6 0
2 years ago
Calculate the Rate of Return on an initial investment of $6,000 valued at $6,500.
bezimeni [28]

Answer:

8.3%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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