Answer:
9 unit
Step-by-step explanation:
after a translation the distance between the lines has no change.
Use pythagorean theorem to find the bottom side of the left triangle.
12^2+b^2=15^2
144+b^2= 225
b^2= 81
b=9
you will then subtract 9 from 25 to get 16
area from the triangle on the right
A=(1/2)16*12
A= 96 in^2
then for the triangle on the right
A= (1/2)12*9
A= 54 in^2
then add the two areas together
Total Area= 150 in^2
The arc length can be found using the formula, ∅ × r, which is: (5π)/3.
<h3>What is the Arc Length?</h3>
Arc length = ∅ × r, where ∅ is the central angle in radians, and r is the radius of the circle.
Given the following:
- ∅ = 60° = 60° × π/180 (in radians)
- r = 5 cm
Length of the arc = 60° × π/180 × 5 = (60 × π × 5)/180
Length of the arc = (300π)/180 = (5π)/3
Learn more about arc length on:
brainly.com/question/2005046
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<span>the difference between the largest and smallest data values in a data set.</span>
Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.
(write this in your own words)
