Answer:
Below.
Step-by-step explanation:
One method is by Trial and Improvement.
Example: Find the cube root of 20.
We know that cube root of 8 is 2 and cube root of 27 is 3 so the cube root of 20 is between 2 and 3.
So we could try 2.5:
2.5^3 = 6.25 * 2.5 - Use long multiplication to get 15.625.
So we need to go higher so we try 2.6*3:
= 17.576
2.7^3 = 19.683.
2.8^2 = 21.952.
The results are either side of 20 with 19.683 the closest.
So we can say that the cube root is 2.7 to the nearest tenth.
Further calculations are necessary to get an answer correct to the nearest hundredth.
This is a rather long process.......
Answer:
Step-by-step explanation:
Set the height to h, and the width to w.
We know that wh=190 and h=2w-1.
Substituting 2w-1 for h, we have:
w(2w-1)=190
So:
2w^2-w-190=0
Factoring this equation, we get (2w+19)(w-10)=0. The solutions to this equation are -9.5 and 10, but clearly the width must be positive, Substituting 10 for the width, we get 10*2-1=19 for the height.
