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larisa86 [58]
3 years ago
6

8 What is 5.618372 rounded to the nearest tenths place?

Mathematics
2 answers:
blondinia [14]3 years ago
8 0
5.6 is the best ANSWER
yarga [219]3 years ago
6 0
Answer: 5.6
explanation: the hundredths place is 1, you will not round up but if it was a number that was greater than 4 then you will.
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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

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3 years ago
Evaluate the discriminant for x2-5x+4=0
FromTheMoon [43]
9 is your answer, hope this helps

8 0
3 years ago
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goblinko [34]

Answer:

∠ e = 40°

Step-by-step explanation:

Since Δ ABC and Δ EDC are congruent then corresponding angles are congruent, that is

∠ A = ∠ E = 40°

8 0
3 years ago
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