Answer: There are 3 strips that can be cut from the roll of ribbon.
Step-by-step explanation:
since we have given that
Length of a ribbon is given by

Length of pieces of ribbon cut into strips is given by

So, we need to find the number of strips that can be cut is given by

Hence, there are 3 strips that can be cut from the roll of ribbon.
Answer:



Step-by-step explanation:
Step 1: Pythagoras Theorem
Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:

Step 2: Trigonometric Functions
Only for a right angle triangle following three trigonometric relations are valid



Step 3: Verifying all the possible answers
A: Since, LN = x and using 
we can calculate


therefore, NM = x (true)
B: As NM = x therefore it can not be equal to
.
C: Using Pythagoras Theorem



It can also be proved using trigonometric relation


As, 
Therefore

D and E:
Using same approach similar to part A
Since, LN = x and NM = x
we can calculate


Therefore,
and not equal to 
The answer for x^2-6x-16 is (x-8) (x+2) or x = -2
Answer:
The ratio of the areas = the ratio of the squares of the scale factor.
So the area of Z is 3^2 * 11 = 99 sq units.
Answer:One is 2 feet and one is 4 feet
Step-by-step explanation: