The area of the regular nonagon is 270 sq cm.
Step-by-step explanation:
Given,
Each side of a regular nonagon (b) = 10 cm
The length of apothem (h) = 6 cm.
To find the area of the nonagon.
Formula
The area of a nonagon with b as each side and h as apothem is = 9(bh)
Now,
Putting the value of h and b we get,
Area = 9(×10×6) sq cm = 270 sq cm
Hence, the area is 270 sq cm.
The question is incomplete. The complete question is :
Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Jaina $300 7% 3 Once a year Tomas $400 4% 3 Once a year. Which pair of equations would correctly calculate their compound interests?
Solution :
It is given that Jaina and Tomas wants to open an account by depositing a principal amount for a period of 3 years and wanted to calculate the amount they will have using the compound interest formula.
<u>So for Jiana</u> :
Principal, P = $300
Rate of interest, r = 7%
Time, t = 3
Compounded yearly
Therefore, using compound interest formula, we get
<u>Now for Tomas </u>:
Principal, P = $400
Rate of interest, r = 4%
Time, t = 3
Compounded yearly
Therefore, using compound interest formula, we get
Therefore, the pair of equations that would correctly calculate the compound interests for Jaina is .
And the pair of equations that would correctly calculate the compound interests for Tomas is .
For this case, we have the following expression:
We simplify the expression:
If we add similar terms, taking into account that different signs are subtracted and the sign of the greater one is placed, we have that
So, we have to:
Answer:
-3x + x + 5 = -2x + 5
Answer:
{-2, -14, -26, -50}
Step-by-step explanation:
The range of the function is the function evaluated at each point of the given domain. So to find the range of the function we need to find the value of the function for each point in the domain:
- For x = -8
The first value of the range of the function is -2
- For x = -2
The second value of the range is -14
- For x = 4
Th third values of the range is -26
- For x = 16
The fourth and last value of the range is -50
Now we can put all the values of the range together
The range of the function is {-2, -14, -26, -50}