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Scorpion4ik [409]
3 years ago
5

Is the sqrt of 102 a rational or irrational number?

Mathematics
1 answer:
lesantik [10]3 years ago
4 0

Answer:

Yes, 102 isn't a square number (1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144) so the square root of 102 will keept going forever and is irrational.

Step-by-step explanation:

basically

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A recipe for fluffy slime calls for 3 3/4 cups of shaving cream, 1/2 cup of glue, 1/2 teaspoon of baking soda and 1 1/2 tablespo
DIA [1.3K]

Answer:

75/4 cups (or 18-3/4 cups)

Step-by-step explanation:

Ignore all the wording about glue, baking soda and saline.

What this question reduces to is that the recipe for :

2 people ---> requires 3 3/4 cups (or 15/4 cups) of shaving cream

10 people ----> requires 5 times the amount of shaving cream needed for 2 people

Hence shaving cream needed for 10 people

= 5 x 3 3/4 cups

= 5 x 15/4 cups

= 75/4 cups (or 18-3/4 cups)

3 0
3 years ago
A rectangles length is 2 in more than its width. The area of the rectangle is 143 square inches. Find the dimensions of the rect
Anastaziya [24]

Answer: The length is 13 inches and the width is 11 inches.

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the area of a rectangle is expressed as

Area = LW

The area of the rectangle is 143 square inches. This means that

LW = 143 - - - - - - - - - - - - --1

The rectangle's length is 2 in more than its width. This means that

L = W + 2

Substituting L = W + 2 into equation 1, it becomes

W(W + 2) = 143

W² + 2W - 143 = 0

W² + 13W - 11W - 143 = 0

W(W + 13) - 11(W + 13) = 0

W + 13 = 0 or W - 11 = 0

W = - 13 or W = 11

Since the width cannot be negative, it means that W = 11

L = W + 2 = 11 + 2

L = 13

4 0
4 years ago
What is the expanded form of the number 34.576?​
Alik [6]

Answer:

34.576 = 30 + 4 + 0.5 + 0.07 + 0.006

4 0
2 years ago
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What is the prime factorization for 40, 210 and 165? (finding the lcm)​
Lemur [1.5K]

Answer:

Is below.

Step-by-step explanation:

Prime Factors:

40 = 2*2*2*5

210 = 2*3*5*7

165= 3*5*11

The LCM is 2*2*2*3*5*7*11

= 8*15*77

= 9240.

4 0
4 years ago
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The following is an arithmetic series.<br> 31+33.5+36+38.5+...<br> O True<br> O False
Aleks04 [339]

9514 1404 393

Answer:

  True

Step-by-step explanation:

It is the sum of numbers having a common difference. The fact that it is a sum makes it a series (as opposed to a sequence, which is just a list of numbers). The common difference (of 2.5) makes it an arithmetic series.

True, the sum is an arithmetic series.

3 0
3 years ago
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