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sineoko [7]
3 years ago
7

The area of square ABCD is 7cm². Show that x² + 4x = 3

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the measure of a side of the square )

Here s = x + 2 and A = 7, thus

(x + 2)² = 7 ← expand left side using FOIL

x² + 4x + 4 = 7 ( subtract 4 from both sides )

x² + 4x = 3 ← as required

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nikitadnepr [17]

Answer:

a = 6.94

b = 2

Now the whole thing:

6.94 x 102

Check your work:

102 = 100 x 6.94 = 694


Hope this helped!!!

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Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manuf
7nadin3 [17]

Answer:

See explanation below

Step-by-step explanation:

Here, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour.

a) The alternative and null hypotheses would be:

H0: μ ≥ 220

Ha: μ < 220

b) Comment on the conclusion when H0 cannot be rejected:

When we fail to reject the null hypothesis H0, there is not enough evidence to conclude that the mean cost can be reduced from $220. Therefore the manager's proposed method cannot be implemented.

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When the null hypothesis, H0 is rejected, there is enough evidence to conclude that the mean cost can be reduced from from $220. Therefore the manager's proposed method can be implemented.

3 0
3 years ago
8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games an
ololo11 [35]

Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

  • We are given with a word problem
  • We are asked to find the number of unicorns played during the season
  • We can do this in two steps

         Step 1: Finding the win percentage

         Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is $\frac{60}{100} \times(x-10)$

Combining the 8 games we get,

$$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$$

Step 2 of 2

The unicorn totally won 65% of the games played.

That is $\frac{65}{100} \times x=0.65 x$

Equating both the equation gives

$$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$$

5 0
2 years ago
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