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OLEGan [10]
2 years ago
10

If $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible valu

e of the difference $a.b - c.d$ ?
Mathematics
1 answer:
Alexxx [7]2 years ago
7 0

Answer:

70

Step-by-step explanation:

  • for the value of difference to be largest, the minuend should be maximum(most possibly) and the subtrahend should be minimum

[in A-B=X, A is minuend and B is subtrahend ]

  • so, $a.b should be maximum. as there is a condition that 4 digits should be distinct, the product will be maximum if we choose 2 maximum valued numbers from the given numbers. so, one of them should be 9 and the other should be 8.

therefore, $a.b=9*8=72

  • as mentioned above, c.d$ should be minimum. this will be possible only when we choose  2 minimum valued numbers from the given numbers. so, one of them should be 1 and the other should be 2.

therefore, c.d$ = 1*2 = 2

  • hence, the difference = 72-2 = 70
  • thus,  the largest possible value of the difference $a.b - c.d$ = 70
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Answer:

The answer to your question is the letter C

Step-by-step explanation:

Data

a = 4.5 u

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Process

1.- Calculate the volume of the rectangular prisms

Formula

Volume = a x a x c

Substitution

Volume = 4.5 x 4.5 x 3

Result

Volume = 60.75 u³

But there are two rectangular prism

Total volume = 2 x 60.75

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Formula

Volume = base x width x height

Substitution

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Result

Volume = 78.3 u³

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3 0
3 years ago
For this you must use Tan<br>Please help.
Scorpion4ik [409]
Tan x =opposite/ adjacent =9/5
x= arctan(9/5)≈61
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In an architecture class the students built a scale model of an office building. If the scale is 1 in. = 12 feet and the model i
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It can be concluded that ΔWXY is equivalent to ΔBCD by the SAS rule because the corresponding sides and corresponding angle are congruent. Option D

<h3>What is SAS congruency?</h3>

SAS congruency states that  two triangles are said to be congruent if any two sides or angle between the sides of one triangle are equal to the corresponding two sides and also the angle between the sides of the second triangle.

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brainly.com/question/18922904

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