Answer:
1. quadrilateral
2. kite 3. trapezoid
4. parallelogram 5. isosceles trapezoid
6. rhombus 7. rectangle
8. square
Step-by-step explanation:
Hi!
We can see here that this is a composition question.
And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).
To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.







Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.



2s cancel.

The natural log and e cancel.

s cancel.

7s cancel.

Hope this helps!
Find the inside angle B of the smaller triangle using the base (4) and height (6)
smaller part of B = arctan(4/6) = 33.69 degrees
full B = 90 degrees - smaller B gives you the other part of B for the left hand side
so 90 - 33.69 = 56.31
now AD = 6 x tan(56.31) = 9 feet
answer is G
Answer: Yes, it's possible
Step-by-step explanation:
53+118+9=180
Answer:
$15,539.67
Step-by-step explanation:
Compound Interest Formula

where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = $11,000
- r = 5.8% = 0.058
- n = 4 (quarterly)
- t = 6 years
Substitute the given values into the formula and solve for A:



Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.