A pair of jeans are originally priced at $30.00 jeans go on sale for 20% off, what is

Can the set of lengths be the side lengths of a right triangle?

Answer:

B. No.

Step-by-step explanation:

We have been given 3 side lengths 7 ft, 12 ft, 17 ft. We are asked to determine, whether the given set of lengths can form a right triangle or not.

We will use Pythagoras theorem to solve our given problem, which states that the square of hypotenuse of a right triangle is equal to the sum of squares of two legs of right triangle.

$17^2=12^2+7^2$

$289=144+49$

$289>193$

Since the sum of squares of both legs is less than square of hypotenuse, therefore, the given set of lengths can not be the side lengths of a right triangle.

4 0

3 years ago

Read 2 more answers

A piece of paper is 11 inches long and 8.5 inches wide. What is the area of the paper in square centimeters? (Please show work!)

goldenfox [79]

If you would like to know what is the area of the paper in square centimeters, you can calculate this using the following steps:

1 inch equals to 2.54 centimeters.

11 inches = 11 * 2.54 = 27.94 centimeters long
8.5 inches = 8.5 * 2.54 = 21.59 centimeters wide

11 inches long * 8.5 inches wide = 27.94 centimeters long * 21.59 centimeters wide = 27.94 * 21.59 = 603.22 square centimeters

The correct result would be 603.22 square centimeters.

3 0

3 years ago

Express in simplest radical form. V40

Andrews [41]

Answer:

$\huge\boxed{2 \sqrt{10}}$

Step-by-step explanation:

When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.

The factors of 40 are:

1, 2, 4, 5, 8, 10, 20, 40.

Out of these, we need to look for one that we can find the square root of.

We know that the square root of 4 is 2.

Therefore, we can make $\sqrt{40}$ into $\sqrt{4 \cdot 10}$ .

The square root of 4 is 2. Therefore, we can put that outside the radical.

$2 \sqrt{10}$ .

Hope this helped!

7 0

3 years ago

What is the factored form of _________?

enyata [817]

Answer:

C

Step-by-step explanation:

The expression given is a difference of cubes and factors as

a³ - b³ = (a - b)(a² + ab + b²)

8 $x^{24}$ = (2 $x^{8}$ )³ ⇒ a = 2 $x^{8}$

27 $y^{6}$ = (3y²)³ ⇒ b = 3y²

Hence 2 factors are

(2 $x^{8}$ - 3y²) and

((2 $x^{8}$ )² + (2 $x^{8}$ × 3y²) + (3y²)²)

= (4 $x^{16}$ + 6 $x^{8}$ y² + 9 $y^{4}$ )

Hence the factored form of the expression is C

4 0

3 years ago

The sum of four consecutive odd integers is -72. Write an equation to model this situation, and ind the values of the four integ

Nutka1998 [239]

Answer:

equation: (x-3) +(x-1) +(x+1) +(x+3) = -72
values: -21, -19, -17, -15

Step-by-step explanation:

When dealing with consecutive integers, it often simplifies the problem to work with their average value. We know the average value of the integers in this problem is the even integer between the middle two. We can call it x, and write the equation ...

(x-3) +(x-1) +(x+1) +(x+3) = -72

This simplifies to ...

4x = -72 . . . . . . . we knew this before we wrote the above equation, since the sum of 4 numbers is 4 times their average.

x = -18 . . . . . . . . the middle number of the sequence

So, the numbers are:

-18-3 = -21
-18-1 = -19
-18+1 = -17
-18+3 = -15

_____

A more conventional approach is to define the variable as the integer at one end or the other of the sequence. If we make it be the lowest number, then the equation is ...

(x) +(x +2) +(x +4) +(x +6) = -72

and that simplifies to ...

4x +12 = -72 . . . . . collect terms

4x = -84 . . . . . . . . subtract 12

x = -21 . . . . . . . . . . divide by 4

Now, the other three numbers are found by adding 2, 4, and 6 to this one.

3 0

3 years ago