Answer:
The range of numbers that Nidhi might be thinking of is between 3 and 9.
Step-by-step explanation:
We are given that Nidhi is thinking of a number n, and she wants her sister to guess the number.
Her first clue is that eight less than three times her number is between one and nineteen.
Let the number Nidhi is thinking be 'n'.
So, eight less than three times her number means that;

Now, according to the question; the above equation is between one and nineteen, so;

Adding 8 to the whole expression;


Dividing the whole expression by 3;


Hence, the range of numbers that Nidhi might be thinking of is between 3 and 9.
Answer:
The ratio of Tan B is

OR

Step-by-step explanation:
In Right Angle Triangle ABC
angle C = 90°
AB = Ramp = 17 feet
BC =Horizontal distance = 15 feet
AC = Height from floor = 8 feet
To Find:
Ratio of Tan B = ?
Solution:
In Right Angle Triangle ABC By Tangent Identity we have

Substituting the given values we get

OR

In perspective this looks tricky but really its no ;) just follow it slowly.
110.25 is your total cost
3 is how many you bought.
So doing division 3/110.25= 36.75
CHECK: 36.75 + 36.75 + 36.75 = 110.25.
Hope this helps.
Answer:
Explanation:
Binomial expansion is:

Here in given expression we have a=x , b=-2y and n = 13
general formula for binomial expansion is:

Since, 
r should be one number less than the term we need to find so it will become the number we need to find like here we have to find 9th term so, r=8
substituting the values in the genral formula we will get

After substituting the values we will get

After simplification we will get
which will be the 9th term of the expansion