Answer:
Step-by-step explanation:
![~~~~~~~2^n+2^n+2^n+2^n = 2^{16}\\\\\implies 4 \cdot 2^n = 2^{16}\\\\\implies 2^2 \cdot 2^n = 2^{16}\\\\\implies 2^{n+2} = 2^{16}~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\\implies n+ 2 = 16\\\\\implies n = 16-2 \\\\\implies n = 14](https://tex.z-dn.net/?f=~~~~~~~2%5En%2B2%5En%2B2%5En%2B2%5En%20%3D%202%5E%7B16%7D%5C%5C%5C%5C%5Cimplies%204%20%5Ccdot%202%5En%20%3D%202%5E%7B16%7D%5C%5C%5C%5C%5Cimplies%202%5E2%20%5Ccdot%202%5En%20%3D%202%5E%7B16%7D%5C%5C%5C%5C%5Cimplies%202%5E%7Bn%2B2%7D%20%3D%202%5E%7B16%7D~~~~~~~~~~~~~~~~~~~~~~~~~~~~%3B%5Ba%5Em%20%5Ccdot%20a%5En%20%3D%20a%5E%7Bm%2Bn%7D%5D%5C%5C%5C%5C%5Cimplies%20n%2B%202%20%3D%2016%5C%5C%5C%5C%5Cimplies%20n%20%3D%2016-2%20%5C%5C%5C%5C%5Cimplies%20n%20%3D%2014)
Answer:
12
Step-by-step explanation:
We know that AD=BC and that AB=CD. We also know the perimeter of the rectangle ABCD to be 54 units.
From this, we can add up the sides which will be equal to 54 units.
AD+BC+AB+CD=54
2x+2x+3x-3+3x-3=54
10x=60
x=6
Since we are trying to find the length of side BC we substitute this value back into 2x.
BC=2x =2*6=12
Therefore, the length of BC is 12 units.
Answer:
2/10, 1 1/4, 13/24, 11/24
Step-by-step explanation:
1. subtract the fractions
2. add the fractions
3. add the fractions
4. add the fractions
Answer:
5 1/6
Step-by-step explanation:
Rewriting our equation with parts separated
=8+2/4−3−1/3
Solving the whole number parts
8−3=5
Solving the fraction parts
2/4−1/3=?
Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 12
6/12−4/12=2/12
Reducing the fraction part, 2/12,
2/12=1/6
Combining the whole and fraction parts
5+1/6=5 1/6
