The perimeter "P" is equal to the length of the base of one triangle multiplied by the "n" number of triangles in the figure plus two times the length of another side. The equation for the perimeter is P = 5n + 14.
We are given triangles. The triangles are arranged in a certain pattern. The length of the base of each triangle is equal to 5 units. The length of the other two sides is 7 units each. We conclude that all the triangles are isosceles. We need to find the relationship between the number of triangles and the perimeter of the figure. Let the perimeter of the figure having "n" number of triangles be represented by the variable "P".
P(1) = 14 + 5(1)
P(2) = 14 + 5(2)
P(3) = 14 + 5(3)
We can see and continue the pattern. The relationship between the perimeter and the number of triangles is given below.
P(n) = 14 + 5n
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Answer:
The width of rectangle is 
or 
Step-by-step explanation:
we know that
The perimeter of rectangle is equal to
where
L is the length of rectangle
W is the width of rectangle
we have
substitute
solve for x
simplify
<em>Find the width of rectangle</em>
substitute the value of x
Convert to mixed number
Answer:
No conclusion
Step-by-step explanation:
The two patterns have no relationship
Therefore, there is no inductive reasoning used
Answer:
Weathering
Step-by-step explanation:
Weathering is the physical and chemical breakdown of rock at the earth's surface. The physical breakdown of rock involves breaking rock down into smaller pieces through mechanical weathering processes. These processes include abrasion, frost wedging, pressure release (unloading), and organic activity.
Answer:
a) 
, 
, 
b) 
, 
, 
Step-by-step explanation:
We can use the chain rule in the following form: is u=u(x) is a differentiable function depending on x and y=y(u) is a differentiable function depending on u, then 
.
a) 
from the power rule.
.
From the previous parts and the chain rule, 
b) 
from the power and sum rules.
Then, 
