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SVETLANKA909090 [29]
3 years ago
10

The distance of AB = [?] Round to the nearest tenth. No links and actual help plz!

Mathematics
2 answers:
FrozenT [24]3 years ago
8 0

AB = 5.6
hope this is helpful!
Alex3 years ago
8 0

Answer:

AB ≈ 5.7

Step-by-step explanation:

Calculate AB using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (- 2, - 2 ) and (x₂, y₂ ) = (2, 2 )

AB = \sqrt{(2-(-2))^2+(2-(-2))^2}

     = \sqrt{(2+2)^2+(2+2)^2}

     = \sqrt{4^2+4^2}

     = \sqrt{16+16}

     = \sqrt{32}

     ≈ 5.7 ( to the nearest tenth )

 

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What procedure will find the sum a+b of two numbers where a and b represent any integer?
ElenaW [278]

Answer:As rational number includes natural number, whole number ,integers  also.

⇒Natural number(1,2,3,4....) is a rational number also.

So, when A= Natural number , B=Any other natural number

Just add two natural number using simple law of addition.

⇒As Whole numbers(0,1,2,3,...) are Rational number also.

So If A=any whole number, B=Any other whole number

Add the whole number in any order using law of addition.

⇒Coming to integers (....-123,....-5,...-1,....12,....59,.....) By taking any two integers ,

1. Both of them are positive add using simple law of addition.

2. One of them is positive and other is negative , if larger one has positive sign before it just subtract smaller one from larger one and put positive sign before the result.and if larger one has negative sign before it ,subtract smaller one from larger one and put negative sign before the result.

⇒If both of them are negative , just add the two integers and apply negative sign before the result.

4. Rational number as fractions ,

A=m/n and B=p/q

A+B=m/n + p/q

find LCM of n and q.

If n and q are co-prime multiply n and q to get the LCM.For example if n=5, q=7, then LCM=5×7=35

If n and q are not co-prime find the factors of n and q .take out the common factors and then multiply the common factors with those factors which are not common.

For example, n=15, q=20

15=5×3

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LCM=5×2×2×3=60

Suppose LCM(n,q)= K

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=

So ,

which is the way to find LCM of rational number when theyare fractions.

Step-by-step explanation:

4 0
3 years ago
Nemecek Brothers make a single product on two separate production lines, A and B. Its labor force is equivalent to 1000 hours pe
frez [133]

Answer:

(a) The inequality for the number of items, x, produced by the labor, is given as follows;

250 ≤ x ≤ 600

(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000

Step-by-step explanation:

The total time available for production = 1000 hours per week

The time it takes to produce an item on line A = 1 hour

The time it takes to produce an item on line B = 4 hour

Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours

The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items

The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items

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(b) The cost of producing a single item on line A = $5

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Cost = 250 × 4 = $1,000

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$3,000/$5 = 600 items = The maximum number of items that can be produced

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$1,000 ≤ C ≤ $3,000

The time to produce the maximum 600 items on line A alone is given as follows;

1 hour/item × 600 items = 600 hours

The inequality for the number of items, x, produced by the labor, is therefore, given as follows;

250 ≤ x ≤ 600

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