What is the length for the 3rd side? write in simplest radical form if needed

Mathematics

1 answer:

9966 [12]3 years ago

6 0

Answer:

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

Let the third side be x , then

x² + 6² = (2 $\sqrt{34}$ )²

x² + 36 = 136 ( subtract 36 from both sides )

x² = 100 ( take the square root of both sides )

x = $\sqrt{100}$ = 10

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how many 1 1/2 centimeter cubes can fit into a rectangular prism that has a length of 12 centimeters , a width of 6 centimeters

VLD [36.1K]

The long, straightforward, brute-force way to slog through the problem:

The prism is 12cm x 6cm x 9cm.

Volume of the prism = (12 x 6 x 9) = 648 cm³

Volume of each little cube = (1.5 x 1.5 x 1.5) = 3/375 cm³

Number of little cubes that fit into the prism = (648 cm³) / (3.375 cm³) = 

192 of them

=============================================

The elegant but almost equally long way to master the problem:

The prism is 12cm x 6cm x 9cm.

If each dimension of your measuring cubie is 1.5cm,
then the prism measures

(8 cubie lengths) x (4 cubie widths) x (6 cubie heights) .

Its volume is (8 x 4 x 6) = 192 measuring cubies.

8 0

3 years ago

Help me plz I am confused

SVEN [57.7K]

Answer:

> means greater than

< means less than and the last one is "not equal to"

Hope this helps!

4 0

3 years ago

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