A tear in an aircraft hull has a length of 1.4x10-4 inch. The tear becomes 1000 times longer. What is the new length of he tear write your answer in scientific notation

The answer is 1.4×10⁻¹ inch

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers.

Now the steps to solving this problems are as follows:

1. Length of hull = 1.4×10⁻⁴.

2 Multiplication factor = 1000, which is 10×10×10 and which can also be written as 10³ (which is read 10 to the power of 3), because 10 multiplies itself 3 times to give 1000.

Next, the question said the tear becomes 1000 times longer, which means that the original tear is multiplied by 1000 hence:

1.4×10⁻⁴ multilied by 1000 or 1.4×10⁻⁴ multiplied by 10³

= 1.4×10⁻⁴×10³.

To solve this easily I have to introduce an exponential law. and it states:

mᵃ × mᵇ = mᵃmᵇ = mᵃ⁺ᵇ. The law states that when two exponents are multiplied, the result is the same as adding the sum of their powers.

In our example; 1.4×10⁻⁴×10³, we can group the expression into like terms as follows; 1.4×(10⁻⁴×10³), then we can apply the law to the expression in bracket.

so showing just the expression in the bracket:

10⁻⁴×10³ = 10⁽⁻⁴⁺³⁾ = 10⁻¹.

putting this back into the original expression:

1.4×10⁻⁴×10³ = 1.4×10⁽⁻⁴⁺³⁾  = 1.4×10⁻¹ (in scientific notation).

you should also note that 10⁻¹ here is the same as . So, if were not writing it in scientific notation is will be written as 1.4 × = 0.14.

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation:

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)