Answer:
The number of path we can take to walk from A to B via a 7 unit path while staying on the grid is 35 paths
Step-by-step explanation:
Given that we are to walk via a 7 unit path, we have;
Path to walk = Right or Left from start point A
Total number of rights and left to get to point B from A must be= 7
Left direction=3 turns
Right direction=4 turns
Number of ways for the first turn = 7, the next turn has 6 ways after that 5, then 4 next, 3 next, 2 next and 1
7 × 6 × 5 × 4 × 3 × 2 × 1 out of which
four are in the right direction in 4 × 3 × 2 × 1 ways and
3 are in the left direction in 3 × 2 × 1 ways,
Number of ways=7! / 4!3!
=7*6*5*4*3*2*1 / 4*3*2*1*3*2*1
=5040/144
=35
The answer is:
Further explanation:
Given expression is a radical expression. Radical expressions involve fractional exponents.
<u>Given:</u>
![\sqrt[4]{16}\ *\ \sqrt[4]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%5C%20%2A%5C%20%5Csqrt%5B4%5D%7B64%7D)
Factorizing 16 and 64
![=\sqrt[4]{2*2*2*2}*\sqrt[4]{2*2*2*2*2*2}\\=\sqrt[4]{2^4} *\sqrt[4]{2^4*2^2}\\Can\ also\ be\ written\ as\\=\sqrt[4]{2^4} *\sqrt[4]{2^4}*\sqrt[4]{2^2}\\={(2^4)}^{\frac{1}{4}}*{(2^4)}^{\frac{1}{4}}*{(2^2)}^{\frac{1}{4}}\\=2*2*{(2)}^{\frac{1}{2} }\\=4*\sqrt{2}\\=4\sqrt{2}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B2%2A2%2A2%2A2%7D%2A%5Csqrt%5B4%5D%7B2%2A2%2A2%2A2%2A2%2A2%7D%5C%5C%3D%5Csqrt%5B4%5D%7B2%5E4%7D%20%2A%5Csqrt%5B4%5D%7B2%5E4%2A2%5E2%7D%5C%5CCan%5C%20also%5C%20be%5C%20written%5C%20as%5C%5C%3D%5Csqrt%5B4%5D%7B2%5E4%7D%20%2A%5Csqrt%5B4%5D%7B2%5E4%7D%2A%5Csqrt%5B4%5D%7B2%5E2%7D%5C%5C%3D%7B%282%5E4%29%7D%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%2A%7B%282%5E4%29%7D%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%2A%7B%282%5E2%29%7D%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%5C%5C%3D2%2A2%2A%7B%282%29%7D%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%5C%5C%3D4%2A%5Csqrt%7B2%7D%5C%5C%3D4%5Csqrt%7B2%7D)
The answer is:
Keywords: Radical expressions, Square root
Learn more about radical expressions at:
#LearnwithBrainly
The two numbers are 45 and 27.
I really hope this helped you! c:
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
or
Answer:
41 kg
Step-by-step explanation:
