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Art [367]
3 years ago
7

Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 505050 meters.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0

Answer= 70.7 meters.

Step-by-step explanation:

We have been given that Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters.

Since we know that diagonal of a square is product of side length of square and . So we will find diagonal of our given square plaza by multiplying 50 by .

Therefore, diagonal distance across the plaza is 70.7 meters.

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In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended s
viva [34]

Answer:

Concentration = 8.26kg/m^3

Step-by-step explanation:

Given

  V = 440000L --- volume of tank

m = 10,000 kg --- solid mass

r = 40000L/hr --- outflow rate  

Required

Determine the concentration at the end of 4 hours

First, calculate the amount of liquid that has been replaced at the end of the 4 hours.

Amount = r * Time

Amount = 40000L/hr * 4hr

Amount = 40000L * 4

Amount = 160000L

This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced

Calculate the ratio of the liquid replaced.

Ratio = \frac{Amount}{Volume}

Ratio = \frac{160000L}{440000L}

Ratio = \frac{16}{44}

Ratio = \frac{4}{11}

Next, calculate the amount of solid left.

Amount (Solid)= Ratio * m

Amount (Solid)= \frac{4}{11} * 10000kg

Amount (Solid)= \frac{40000}{11}kg

Amount (Solid)= 3636kg

Lastly, the concentration is calculated as:

Concentration = \frac{Amount (Solid)}{Volume}

Concentration = \frac{3636kg}{440000L}

Convert L to cubic meters

Concentration = \frac{3636kg}{440000* 0.001m^3}

Concentration = \frac{3636kg}{440m^3}

Concentration = 8.26kg/m^3

3 0
3 years ago
Solve the system by substitution. 2x - y = -3, 2x-2y = -2
Sonja [21]

Answer:// Solve equation [1] for the variable  y

 [1]    y = 2x - 3

// Plug this in for variable  y  in equation [2]

  [2]    -2•(2x-3) + 2x = 2

  [2]     - 2x = -4

// Solve equation [2] for the variable  x

  [2]    2x = 4

  [2]    x = 2

// By now we know this much :// Solve equation [1] for the variable  y

 [1]    y = 2x - 3

// Plug this in for variable  y  in equation [2]

  [2]    -2•(2x-3) + 2x = 2

  [2]     - 2x = -4

// Solve equation [2] for the variable  x

  [2]    2x = 4

  [2]    x = 2

// By now we know this much :

   y = 2x-3

   x = 2

// Use the  x  value to solve for  y

   y = 2(2)-3 = 1

   y = 2x-3

   x = 2

// Use the  x  value to solve for  y

   y = 2(2)-3 = 1

Step-by-step explanation:

5 0
3 years ago
C=2pie r solve for r
S_A_V [24]

Answer:

r = C / (2pie)

Step-by-step explanation:

C = 2pie x r

divide both sides by 2pie to isolate r

C / (2pie) = r

r = C / (2pie)

8 0
3 years ago
3 n-5 An even ineger, what is the next larger consecutive even integer
Sliva [168]

Answer:

B. n-3

Step-by-step explanation:

If x is an even integer, the next consecutive even integer = x + 2

Since (n-5) is even, the next consecutive even integer = (n-5) + 2 = n-3

8 0
2 years ago
What is the answer ?
sergiy2304 [10]

Answer:

First box: 2

Second box: 30

Third box: 42

Step-by-step explanation:

5 sixes means 5 · 6, which equals 30. An unknown amount of sixes equals 12, which is 2 because 2 · 6 = 12.

30 + 12 = 42

7 · 6 = 42, so 42 is the answer.

I hope this helped! :)

4 0
3 years ago
Read 2 more answers
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