The rectangle shown below has an area of 4(x+3) square units.

. The Empire State Building is a 102-story skyscraper. Its height is 1,250 ft. from the ground to the roof. The length and width

Aleks [24]

Answer: a) Dimensions of miniature is 0.17 × 0.08 × 0.5, b) 0.006 ft³.

Step-by-step explanation:

Since we have given that

Height of building = 1250 feet

Length of building = 424 ft

Width of building = 187 ft

Now, we know that The miniature version is just 1/ 2500 of the size of the original.

So, Height of miniature would be

$\dfrac{1250}{2500}=0.5\ ft$

Length of miniature would be

$\dfrac{424}{2500}=0.17\ ft$

Width of miniature would be

$\dfrac{187}{2500}=0.08\ ft$

a) What are the dimensions of the miniature Empire State Building?

Dimensions of miniature is 0.17 × 0.08 × 0.5

b. Determine the volume of the miniature building. Explain how you determined the volume.

$Volume=0.5\times 0.08\times 0.17=0.006\ ft^3$

Hence, a) Dimensions of miniature is 0.17 × 0.08 × 0.5, b) 0.006 ft³.

6 0

3 years ago

Simplify the question

zimovet [89]

Answer: 50.4537849152
Hope this helped!

8 0

3 years ago

Read 2 more answers

The sum of three consecutive numbers is 12 find the numbers

snow_tiger [21]

Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3

y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5

So the numbers are 3; 4 and 5.

You can re-check your answers (very important):
3+4+5 = 12
3;4;5 are consecutive numbers.
The answer has been approved.

Hope this Helps! :)

7 0

3 years ago

I REALLY NEED HELP, ILL MEDAL!!!!

lara31 [8.8K]

Well, first of all, the first statement (ABC = ADC) looks like it just says
that the two halves of the little square ... each side of the diagonal ...
are congruent. That's no big deal, and it's no help in answering the
question.

The effect of the dilation is that all the DIMENSIONS of the square
are doubled ... each side of the square becomes twice as long.

Then, when you multiply (length x width) to get the area, you'd have

Area = (2 x original length) x (2 x original width)

and that's
the same as (2 x 2) x (original length x original width)

= (4) x (original area) .

Here's an easy, useful factoid to memorize:

-- Dilate a line (1 dimension) by 'x' times . . . multiply the length by x¹

-- Dilate a shape (2 dimensions) by 'x' . . . multiply area by x²

-- Dilate a solid (3 dimensions) by 'x' . . . multiply volume by x³

And that's all the dimensions we have in our world.
_______________________________

Oh, BTW . . .

-- Dilate a point (0 dimensions) by 'x' . . . multiply it by x⁰ (1)

5 0

3 years ago

What is u = kx + ух, for x

Ivahew [28]

Answer: