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erik [133]
3 years ago
14

A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?​

Mathematics
1 answer:
Nataliya [291]3 years ago
5 0

9514 1404 393

Answer:

  3a by 4a

Step-by-step explanation:

For dimensions L and W, the area and perimeter are ...

  A = LW = 12a^2

  P = 2(L+W) = 14a

Using the second equation, we can find L:

  L +W = 7a . . . . . divide by 2

  L = 7a -W

Substituting into the area formula gives the quadratic ...

  (7a -W)(W) = 12a^2

  W^2 -7aW +12a^2 = 0 . . . . arrange in standard form

  (W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)

Then we have the two solutions ...

  W = 3a, L = 4a

  W = 4a, L = 3a

The rectangle dimensions are 3a by 4a.

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Mariulka [41]

Answer:

3 standard deviations

from the mean is 6 pounds to 18 pounds.

Step-by-step explanation:

The above question is solved using empirical rule

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the above question

μ = 12 pounds

σ = 2 pounds

Hence:.

3 standard deviations from the mean is calculated as

μ - 3σ

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=( 12 - 6) pounds

= 6 pounds

μ + 3σ

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=( 12 + 6) pounds

= 18 pounds

Hence,3 standard deviations

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on:

5 0
3 years ago
Mark took his family to the movies and spent a total of 78$ on tickets he also bought a soda for each family member each sodas c
AveGali [126]

Answer: He bought about 6 sodas.

Step-by-step explanation:

Given: Tota cost of tickets = $ 78

Cost of each soda = $4.25

Total cost of sodas and tickets = 102.50

Let x = Number of sodas purchased

Then

78+4.25x=102.50\\\\\Rightarrow\ 4.25x=102.50-78\\\\\Rightarrow\ 4.25x=24.5\\\\\Rightarrow\ x= \dfrac{24.5}{4.25}\\\\\Rightarrow\ x\approx6

Hence, he bought about 6 sodas.

8 0
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Uestion 6 one out of every five people who buy ice cream buys vanilla ice cream. if a store sells 125 ice cream cones in one day
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