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vladimir1956 [14]
3 years ago
14

elaine has a rectangular gift wrapper that measure 30 cm by 25 cm she wants to cut it into square sheets of the same size to be

used in her album what is the possible measure of square sheet side which will not have leftover (4 step plan)​
Mathematics
1 answer:
12345 [234]3 years ago
6 0

Answer:

Square length of 5cm

Step-by-step explanation:

Given

Length = 30cm

Width = 25cm

Required

Determine the possible measure of square from the rectangular sheet

To do this, we simply calculate the greatest common factor (GCF) of the dimension of the rectangle.

30 = 2 * 3 * 5

25 = 5 * 5

The common factor is: 5

<em>Hence, the side length of the square is 5cm</em>

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Find the two possible lengths of line CD if C, D, and E are colliner, CE = 15.8 centimeters, and DE =3.5 centimeters.
Norma-Jean [14]
CD=19.3

You take the length of CE and add it to the length of DE and make it equal to CD

15.8+3.5=CD
19.3=CD
8 0
3 years ago
What is the square root of 10 to the second power
VMariaS [17]

Answer:

10

Step-by-step explanation:

reduce the index of the radical and exponent with 2

|10|

The absolute value of any number is positive

10

5 0
3 years ago
Read 2 more answers
2. Maria has a garden that is 6 feet by 4 feet. What is the perimeter of Maria's garden?
Anton [14]

Answer:

  = 20 ft

Step-by-step explanation:

The perimeter is found by

P = 2(l+w)

  = 2(6+4)

   =2(10)

  = 20 ft

8 0
3 years ago
Kate, Alexia, and Trina just completed the 400-meter dash at the track meet. Kate finished the race 6 seconds faster than Alexia
Digiron [165]

Answer:

Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds

Step-by-step explanation:

A = K + 6

T = K - 3

K + A + T = 2 min 39 sec or 159 sec

K + (K + 6) + (K - 3) = 159sec

3K + 3 = 159sec

3K = 156sec

K = 52 sec

A = 52 + 6 = 58 sec

T = 52 - 3 = 49 sec

8 0
2 years ago
Explain how the difference of a fraction or a rational number and its additive inverse is equal to zero.
Jobisdone [24]
This question is in reverse (in two ways): 

<span>1. The definition of an additive inverse of a number is precisely that which, when added to the number, will give a sum of zero. </span>

<span>The real problem, in certain fields, is usually to show that for all numbers in that field, there exists an additive inverse. </span>

<span>Therefore, if you tell me that you have a number, and its additive inverse, and you plan to add them together, then I can tell you in advance that the sum MUST be zero. </span>

<span>2. In your question, you use the word "difference", which does not work (unless the number is zero - 0 is an integer AND a rational number, and its additive inverse is -0 which is the same as 0 - the difference would be 0 - -0 = 0). </span>

<span>For example, given the number 3, and its additive inverse -3, if you add them, you get zero: </span>
<span>3 + (-3) = 0 </span>

<span>However, their "difference" will be 6 (or -6, depending which way you do the difference): </span>

<span>3 - (-3) = 6 </span>
<span>-3 - 3 = -6 </span>

<span>(because -3 is a number in the integers, then it has an additive inverse, also in the integers, of +3). </span>

<span>--- </span>

<span>A rational number is simply a number that can be expressed as the "ratio" of two integers. For example, the number 4/7 is the ratio of "four to seven". </span>

<span>It can be written as an endless decimal expansion </span>
<span>0.571428571428571428....(forever), but that does not change its nature, because it CAN be written as a ratio, it is "rational". </span>

<span>Integers are rational numbers as well (because you can always write 3/1, the ratio of 3 to 1, to express the integer we call "3") </span>

<span>The additive inverse of a rational number, written as a ratio, is found by simply flipping the sign of the numerator (top) </span>

<span>The additive inverse of 4/7 is -4/7 </span>

<span>and if you ADD those two numbers together, you get zero (as per the definition of "additive inverse") </span>

<span>(4/7) + (-4/7) = 0/7 = 0 </span>

<span>If you need to "prove" it, you begin by the existence of additive inverses in the integers. </span>
<span>ALL integers each have an additive inverse. </span>
<span>For example, the additive inverse of 4 is -4 </span>

<span>Next, show that this (in the integers) can be applied to the rationals in this manner: </span>

<span>(4/7) + (-4/7) = ? </span>
<span>common denominator, therefore you can factor out the denominator: </span>

<span>(4 + -4)/7 = ? </span>
<span>Inside the bracket is the sum of an integer with its additive inverse, therefore the sum is zero </span>
<span>(0)/7 = 0/7 = 0 </span>

<span>Since this is true for ALL integers, then it must also be true for ALL rational numbers.</span>
5 0
3 years ago
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