7.5% of 160.

12 / 160 = 0.075

Move decimal 2 places to the left to convert it to a percent, or multiple by 100.

0.075 * 100 = 7.5

7.5% is your answer.

3 0

3 years ago

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A right square pyramid with base edges of length $8\sqrt{2}$ units each and slant edges of length 10 units each is cut by a plan

seropon [69]

Answer:

32 $unit^{3}$

Step-by-step explanation:

Given:

The slant length 10 units
A right square pyramid with base edges of length 8 $\sqrt{2}$

Now we use Pythagoras to get the slant height in the middle of each triangle:

$\sqrt{10^{2 - (4\sqrt{2} ^{2} }) }$ = $\sqrt{100 - 32}$ = $\sqrt{68}$ units

One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.

$\sqrt{68-(4\sqrt{2} ^{2} )}$ = $\sqrt{68 - 32}$ = 6 units.

Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:

The height 3 units
A right square pyramid with base edges of length 4 $\sqrt{2}$

So the volume of it is:

V = 1/3 *3* 4 $\sqrt{2}$

= 32 $unit^{3}$

5 0

4 years ago

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Tatiana [17]

Answer: 9.4

Explanation: 8.4^2+4.3^2=

70.56+18.49=89.06

square root of 89.06 is 9.437

9.4 rounded off

7 0

2 years ago

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