Coastline receded in a year = 3 centimeters
Number of years when coastline gets receded = 8 years
Length of coastline receded in 8 years = 3 * 8 = 24 cms
Answer:
Option (d) is a valid exclusion for the given algebraic fraction
(d) a ≠ 0, b ≠ 0, a ≠ 2b
Step-by-step explanation:
Given algebraic expression
We have to find the conditions which is valid exclusion for the algebraic fraction .
Consider , the given algebraic expression ,
We first solve the given fraction in simplest form ,
Taking 4ab common from denominator, we get,
Solving the fraction , we get,
For the above fraction to be valid denominator has to be non zero, that is
Thus, option (d) is a valid exclusion for the given algebraic fraction
(x+ (x+2)+ (x+4) + (x+6) + (x+8) + (x+10))/6 = 22
First let's combine like terms.
(6x+30)/6= 22
Evaluate the division on the left side.
x+5=22
Subtract 5 from both sides
x=17
Final answer: 17
GCF is defined as the Greatest Common Factor. It i<span>s the greatest factor that divides two numbers. In order to find the GCF between the 2 numbers given, we need to find their prime factors first. If you have listed it already, the two common numbers are 2 and 5. So, multiply 2 by 5 and we get 10.
Therefore, the correct answer for this would be the last option, 10. Hope this answer helps.</span>
Figure 1
Perimeter
3 * (1/2) * (6π) + (1/2) * (18π) = 18π cm
Area
3 * (1/2) * ((3 ^ 2) π) + (1/2) * ((9) ^ 2π) = 54π cm ^ 2
Figure 2
Perimeter
6 * (1/2) * (4π) + 2 * (4) = (12π + 8) cm
Area
3 * (4 * 4) = 48 cm ^ 2
Figure 3
Perimeter
2 * (1/2) * (6π) + (1/2) * (12π) + 2 * (6) = (12π + 12) cm
Area
2 * (6 * 6) + (1/2) * ((6) ^ 2π) = (18π + 72) cm ^ 2