The length of cell A is 2x10^-6m. The length of cell B is 0.0000001 m. What is the ratio of cell A's length to cell B's length? Use pencil and paper. Is it easier to find the ratio when the numbers are expressed in scientific notation or in standard form? Explain your reasoning.

Cell A : Cell B

20 : 1

Step-by-step explanation:

The length of cell A is 2x10^-6m.

The length of cell A is in Scientific notation

The length of cell B is 0.0000001 m.

The length of cell B is in Standard form.

To find the ratio of Cell A to Cell B

We convert the length of Cell B to Scientific notation

= 0.0000001 m = 1 × 10^-7m

Cell A : Cell B

2 × 10^-6 : 1 × 10^ -7

2 × 10^-6/ 1 × 10^ -7 : 1 × 10^ -7/ 1 × 10^ -7

20 : 1

Is it easier to find the ratio when the numbers are expressed in scientific notation or in standard form? Explain your reasoning.

Yes it is easier to find the ratios when the numbers are expressed as scientific notation because Scientific notation is a methodology in mathematics that is used to write very large or very small number in a compact and easy form raised to the power of 10.

It is makes it easier to calculate or solve mathematical operations using numbers in Scientific notation.

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step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240