An art college include the red paper triangle with one side length of 3.4 in and a second side length of 8.1 inches which of the following could be the length of the third side

General Idea:

Triangle inequality property states that the sum of any two sides of a triangle is greater than the third side.

Applying the concept:

We are given two sides of the triangle as 3.4 inches and 8.1 inches respectively.

Using the above triangle property of inequality, we get..

Conclusion:

The third side should satisfy the below inequality to satisfy, triangle property of inequality

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.