A reciprocal just flips the fraction
1.
2.
3. Before it is flipped it is but it turns into
Hope this helps!
Answer:
1400 cm²
Step-by-step explanation:
The ratio of volumes of similar figures is the cube of the scale factor. Here, that is 3125/675 = sf³. That means the scale factor is ∛(3125/675) = 5/3.
The ratio of areas of similar figures is the square of the scale factor. Here, that is (5/3)² = 25/9.
The area of the larger pyramid is 25/9 times the area of the smaller one:
A = (25/9) × 504 cm² = 1400 cm²
The surface area of pyramid 2 is 1400 cm².
_____
<em>Additional comment</em>
You don't need to find the scale factor. You can jump directly to the fact that the surface area multiplier is the 2/3 power of the volume ratio.
Answer:
Therefore there are 10 ways to walk in xy space from (0,0) to (2,3).
Step-by-step explanation:
To move from (0,0) to (2,3) one has to walk 2 step along x-axis and 3 steps along y-axis.
One can chose 2 steps along x-axis and then 3 steps along y axis
Or,
2 steps along y-axis ,1 step along x-axis , 1 step along y-axis,1 step along x-axis
And so on.
This is a permutation of(2+3) things where 2 and 3 are two types of kinds.
The required permutation is
Therefore there are 10 ways to walk in xy space from (0,0) to (2,3).