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lesantik [10]
3 years ago
8

If every dimension of a two-dimensional figure is multiplied by k, by what quantity is the area multiplied?

Mathematics
1 answer:
Igoryamba3 years ago
8 0
For example: Square has dimension a
A = a²  and if every dimension is multiplied by k new dimension would be:
A 1 = k² a² = k² A.
Or the area of rhombus: A = d1 * d 2 / 2
New area is: A 1 = k d 1 * k d 2 / 2 =  k² A
Answer: If every dimension of two-dimensional figure is multiplied by k, the area is multiplied by k².
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400

Step-by-step explanation:

if there are 4 quarters in one dollar than 100 times 4 is 400

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Darya [45]

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1156

Step-by-step explanation:

We know that,

( a + b ) ² =  a² + 2ab + b²

We can follow the same method to find the value of this.

12² + 22²

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144 + 24 × 22 + 484

144 + 528 + 484

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<u>1156</u>

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2 years ago
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3 years ago
Which set of numbers below DO NOT make a triangle?<br> 0 7,7,7<br> O 6,3,3<br> 0 3,4,5<br> O 5, 11,7
Hoochie [10]

Answer:

3,4,5

Step-by-step explanation:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle therefore 3,4,5 is not triangle.

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3 years ago
HEEEEEEEELLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Debora [2.8K]

Answer:

6

Step-by-step explanation:

This problem centers on recognizing the relationship between fractions and repeating decimals.

<u></u>

Note the following:

\frac{1}{3}=0.33333333333333333333333333333333333333333333333...  

or more simply \frac{1}{3}=0.\bar{3}

This means that 2\frac{1}{3}=2.\bar{3}

Going back to the original expression, 3\frac{2}{3}+2.\bar{3}  simplifies to 3\frac{2}{3}+2\frac{1}{3}

Next, adding mixed numbers.  For adding mixed numbers, whole number parts and fractional parts can be added separately <em>(this is because of the associative and commutative properties of addition)... because </em>

3\frac{2}{3}+2\frac{1}{3} means the same thing as

(3+\frac{2}{3})+(2+\frac{1}{3})

Changing the order, we can write it as

3+2+\frac{2}{3}+\frac{1}{3}

Adding the whole number parts, 3+2 is 5.

Next, adding the fraction parts:

For adding fractions, one must have a common denominator (the bottom part of the fraction must be the same).  Once they are the same, the denominator just sort of "hangs out" until the end without changing, and the numerators (the tops) are added together.

Fortunately, the denominators are already the same.  So, add the numerators, and the denominator will stay as a 3.

\frac{2}{3}+\frac{1}{3}

\frac{1+2}{3}

\frac{3}{3}

It is important to recognize that any fraction* where the number on the top matches the number on the bottom, the fraction is equivalent to 1.

<em>*(except if the number we're talking about is zero)</em>

So, the fraction parts added together, are equivalent to 1, and the whole number parts added were equal to 5.  Returning to our expression...

3+2+\frac{2}{3}+\frac{1}{3}

5+\frac{3}{3}

5+1

6

7 0
2 years ago
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