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3 years ago

In the simplest radical form, what is the perimeter of a square with a diagonal of 12 cm?

1 answer:

7 0

Diagonal of a square is √2a
so,
√2 a = 12
a= 12/√2
and.. perimeter of a square is 4a
so,
peri = 4*12/√2
= 48/√2
=33.94cm

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Six pyramids are shown inside of a cube. The height of the cube is h units. Six identical square pyramids can fill the same volu

MAXImum [283]

Answer:

(A)The height of each pyramid is One-half h units.

Step-by-step explanation:

Height of the Cube = h units

Volume of the Cube $=h^3 $ cubic units$

If Base of the cube =Base of the square pyramid

Base of the square pyramid = h units

$\text{Volume of a Pyramid}=\dfrac{1}{3}*Base Area*Height$

$\text{Volume of One Pyramid}=\dfrac{1}{3}*h^2*Height$

$\text{Volume of Six Pyramids}=6*\dfrac{1}{3}*h^2*Height\\=(2h^2*Height)\:cubic\:units$

Since Volume of the Cube = Volume of Six Square Pyramids

Then:

$2h^2*Height=h^3\\Height=\dfrac{h^3}{2h^2} \\$Height of each pyramid =\dfrac{1}{2}h \:Units$

5 0

3 years ago

Read 2 more answers

Solve for x..........

-BARSIC- [3]

9514 1404 393

Answer:

x = -9

Step-by-step explanation:

Segment NL is twice the length of midsegment WV.

2WV = NL

2(x+15) = x+21

2x +30 = x +21 . . . . simplify

x = -9 . . . . . . . . . . . . add -30-x

_____

<em>Additional comment</em>

This value of x means the other segments are ...

MN = 12

WV = 6

NL = 12

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2 years ago

Does anyone know the answer ??

pickupchik [31]

Answer:

Y+5=2(x+1) if (5,10)

10+5=2(5+1)

15=2(6)

15=12

Y+5=2(x+1) if (-1,-5)

-5+5=2(-1+1)

0=2(0)

0=0

Option B is correct one

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2 years ago

Read 2 more answers

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3 years ago

What percent is the change in the price if: a The price was $100 and now it is $1250?

KatRina [158]

Answer:

The increase is 1150.

11.5 times the original value, or 1150% of it. That's a big increase, and I would not buy that thing, whatever it is.

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3 years ago