Solve question 7 and 8.I will mark the fastest as brainliest.
Answers
Answer:
(7) ans:
Firstly draw a line AB of 7.28cm and then increase 1 unit more from point B to C and then taking C as a centre draw a semi-circle from A to C and then at point B draw a perpendicular from point F and this perpendicular line is equal to √7.28 and cut an arc from point B on the number line.
(8) ans:
How can we represent 1+√9.5 on the number
Viraj Mohile, Physics | Math enthusiast. Love to take challenges
Updated April 28, 2018
Originally Answered: How can I represent (1+ under root 9.5) on the number line?
I am assuming your question here is about the accuracy since approximations can be done by anyone.
Well I can tell you a method to mark it with best accuracy you can imagine. It was fun to think about the method though:)
Make a note for this you would require a geometric compass. First let us plot root(9.5) on number line. I want to use concept of Pythagorean theorem. We can represent root(9.5) as the hypotenuse of a right triangle with base and height length 3 and root(0.5) respectively.
Step 1:
Root(9.5) = root(9+ 0.5) 9 is 3 squared. Make the base length AB be 3 easily drawn with a ruler and then draw a line perpendicular to our number line from point B.
Now from B we have to mark point C on the dotted line which will be root(0.5) away from B.
Step 2:
Using same concept root(0.5) can be considered as the hypotenuse of a right triangle with other two sides of length 0.5.
I.e root(0.5) = root(0.25+0.25). Since a right triangle having equal lengths will be having both the remaining angles equal to 45degrees (isoceles right triangle) make a straight line inclined at 45degrees from point B and mark a point D at a distance of 0.5 from B on it.
Step 3:
From the point D mark a line perpendicular to the new dotted line joining the original dotted line as shown. The point so obtained will be C which is root(0.5) away from B.
Step 4:
Join BC which will be equal to root (0.5) in length exactly. Also join points AC and here we go. Cheers AC= root(9.5)
Step 5: The final step take a compass using A as centre make an arc cutting our number line at O.
Cheers AO is equal to root(9.5)! Now extend line segment from A behind by 1 unit to make final length equal to 1+root(9.5) as required!
Step 6:
So length PO will be 1+root(9.5).
step by step explanation......
here the attachments describes the steps...
