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3 years ago

Find the length of the third side. If necessary, write in simplest radical form.

Mathematics

1 answer:

AleksandrR [38]3 years ago

8 0

Answer:

Step-by-step explanation:

This is a right triangle, and so the Pythagorean Theorem applies. The legs of this triangle are 3√3 and 3; squaring these gives us 9(3) = 27 and 9. Then, this Theorem gives us the length of the hypotenuse as

h^2 = 27 + 9, or h^2 = 36, so that h, the length of the hypotenuse, must be 6.

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An item that is on sale for 40% off costs $66. What was the item's regular price?

IRINA_888 [86]

Answer:

The regular price was $110

Step-by-step explanation:

Hi there !

60% .......... $66

100% ..........$ x

x = 100×66/60

= 6600/60

= $ 110

Good luck !

7 0

4 years ago

Solve: 2x -3 =6 Hey can someone please help me with this?

shepuryov [24]

Hey there!

$Answer:\boxed{x=\frac{9}{2}}$

$Explanation:$

$2x-3=6$

$2x-3+3=6+3\\2x=9$ Add 3 to both sides.

$\frac{2x}{2}=\frac{9}{2}$ Divide both sides by 2.

$x=\frac{9}{2}$

Hope this helps!

$\text{-TestedHyperr}$

6 0

4 years ago

Read 2 more answers

An artist cuts 4 squares with side length x ft from the corners of a 12 ft-by-18 ft rectangular piece of sheet metal. She bends

Kruka [31]

Answer:

$V=4x^3-60x^2+216x$

Step-by-step explanation:

Volume And Function s

Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is

$V=abc$

Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below .

If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is

$V=x(12-2x)(18-2x)$