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3 years ago

What is -|8| equal to

Mathematics

1 answer:

matrenka [14]3 years ago

7 0

It's the absolute value which is 8

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Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side

tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

$AC^2=AD^2+DC^2$

Upon substituting our given values in above formula we will get,

$x^2=(30\text{ cm})^2+(30\text{ cm})^2$

$x^2=900\text{ cm}^2+900\text{ cm}^2$

$x^2=1800\text{ cm}^2$

Let us take square root of both sides of our equation.

$x=\sqrt{1800\text{ cm}^2}$

$x=42.4264\text{ cm}\approx 42\text{ cm}$

Therefore, the length of diagonal of our given square is 42 cm.

8 0

3 years ago

If sin(2x)=cos (x+30°), what is the value of x?

Murljashka [212]

Answer:

x=20

Step-by-step explanation:

Please mark as brainliest

3 0

3 years ago

What is the math term for you taking parentheses away?

TEA [102]

You might be thinking of "distribution" or "distributive property"

Example:

2(3x+5) = 2*3x+2*5 = 6x+10

I multiplied the outer 2 by each term inside (3x and 5)

4 0

3 years ago

Read 2 more answers

How to determine if a function is even or odd calculus?

aalyn [17]

A function $f(x)$ is even if $f(-x)=f(x)$ , and is odd if $f(-x)=-f(x)$ .

Example:

$f(x)=x^2$ is even, since $f(-x)=(-x)^2=x^2=f(x)$ .

$g(x)=x^3-x$ is odd, since $g(-x)=(-x)^3-(-x)=-x^3+x=-(x^3-x)=-g(x)$ .

6 0

3 years ago

The question is in the photo

vovikov84 [41]

$\displaystyle\bf 3x+7\geq 52 \ ; \ x>15 \\\\3x\geq 45\\\\x\geq 15 \ \ \ and \ \ \ x>15$ here is a contradiction because in one inequality x can be equal to 15 ; and in the other it cannot

6 0

3 years ago