To solve this problem, we can use Pythagorean theorem, it tells us that the square of the hypotenuse is equal to the sum of the square of the other two sides.

When we look at these side lengths, we can see that only the second answer is suitable because from the lengths, we can predict that 13 is the length of the hypotenuse, 5 is the length of the shorter leg and 12 is the length of the other leg, and when you actually calculate it, the result is correct as well:

5² + 12² = 25 + 144 = 169

13² = 169

So the answer is B

4 0

3 years ago

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What is the solution to –2|2.2x – 3.3| = –6.6? x = –3 x = 3 x = –3 or x = 0 x = 0 or x = 3

Nonamiya [84]

x = 3

-2 | 2.2(3) -3.3 | = -6.6

-2 | 6.6 - 3.3 | = -6.6

-2 | 3.3 | = -6.6

-2 * 3.3 = -6.6

-6.6 = -6.6

6 0

3 years ago

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Melinda has several children and frequently marvels at how different each child is from one another. Jacob, her oldest son, took

KengaRu [80]

Answer:

Absolute change = 6.5

Relative change = 61.91%

Step-by-step explanation:

We are given the following in the question:

Number of months Jacob took for his first step = 17

Number of months Clyde took for his first step = 10.5

We have to compare the number of months it took Clyde to take his first steps to the number of months it took Jacob using absolute and relative change.

Absolute change:

It is simple difference of the second quantity and first quantity.

Absolute change

= Number of months Jacob took for his first step - Number of months Clyde took for his first step

$= 17 - 10.5\\=6.5$

Relative change:

It is the percentage of absolute change to the first quantity.

Relative change =

$\dfrac{\text{Absolute change}}{\text{ number of months it took Clyde to take his first steps}}\times 100\%\\\\=\dfrac{6.5}{10.5}\times 100\%\\\\=61.91\%$

8 0

4 years ago