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Vladimir [108]
3 years ago
13

Find the product of the greatest common divisor and the least common multiple of 18 and 42.

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

The product of the greatest common divisor and the least common multiple of  two numbers is always the product of the two numbers. So, you have

\text{lcm}(18,42)\times\text{GCD}(18,42)=18\times 42=756

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For her phone service, Melissa pays a monthly fee of $16, and she pays an additional $0.06 per minute of use. The least she has
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Answer:

1287

Step-by-step explanation:

93.22-16=77.22

77.22 devided by 0.06=1287

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An architect is designing square windows with an area of(x2 + 16x +64) ft?. The dimensions of the
Darina [25.2K]

A) The dimensions are (x+10) by (x+10).

B) The perimeter is given by 4x+40.

C) The perimeter when x is 4 is 56.

The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x.  Our c is 100 and our b is 20; we want factors of 100 that sum to 20.  10*10=100 and 10+10=20, so those are what we need.  This gives us (x+10)(x+10 for the factored form.  

Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10).  Using the distributive property we have 4*x+4*10=4x+40.

To find the perimeter when x=4, substitute 4 into our perimeter expression:

4*4+40=16+40=56.

6 0
2 years ago
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Find the value of (3 4)2.
Orlov [11]
(3 + 4)^2 = (7)^2 = 49
8 0
3 years ago
Ivan has 15 yards of green felt and 12 yards of blue felt to make 3 quilts. If Ivan uses the same total number of yards for each
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You're just dividing the total yards of each felt evenly across the 3 quilts. 15/3 and 12/3 mean Ivan will use 5 yards of green felt and 4 yards of blue felt per quilt, for a total of 9 yards per quilt.
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The design of a nomadic tribal rug is shown, where m<AED=34° and m<EAD=112°
Lady_Fox [76]

The required angle m∠ADB  of the nomadic tribal rug is 112°

Given, that in ΔAED and ΔBDC,

where, m∠AED = 34° and m∠EAD = 112°

To find m∠ADB

By using the angle sum property of a triangle, which states that the sum of interior angles of a triangle is 180°.

Therefore in ΔAED,

m∠AED + m∠EAD +  m∠ADE = 180°

   34°  +    112°    +   m∠ADE   = 180°

or,    m∠ADE + 146° = 180°

or,       m∠ADE    = 34°

Similarly, m∠BDC = 34°

Now, by using the sum of linear pair of angles,

m∠ADE + m∠ADB + m∠BDC = 180°

  34° + m∠ADB + 34°  = 180°

   m∠ADB + 68° = 180°

   m∠ADB  = 180°- 68°

    m∠ADB = 112°

To learn more about linear pair of angles, visit: brainly.com/question/26555759?referrer=searchResults

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5 0
2 years ago
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