Tentukan jenis segitiga yang panjang sisi-sisinya dituliskan sebagal be \( 6 \mathrm{~cm}, 9 \mathrm{~cm} \), dan 10 cm \( 15 \mathrm{~cm}, 18 \mathrm{~cm} \), dan 24 cm

1) Un triangolo rettangolo ha l'area di \( 864 \mathrm{~cm}^{2} \) e l'al- tezza relativa all'ipotenusa lunga \( 28,8 \mathrm{~cm} \). Calcola il perimetro del triangolo.

There are 10 people taking part in a raffle. Ann, Bob, Elsa, Hans, Jim, Kira, Lena, Omar, Ravi, and Soo. Suppose that prize winners are randomly selected from the 10 people. Compute the probability. of each of the following events. Event A: The first three prize winners are Elsa, Omar, and Lena, regardless of order. Event B: Jim is the first prize winner, Bob is second, and Hans is third. Write your answers as fractions in simplest form. \( P(A)= \)

16) A sequence is defined recursively by: \( a_{1}=3 \) \( a_{n+1}=2 a_{n}-1 \) Determine the values of \( a_{2}, a_{3}, a_{4} \), and \( a_{5} \).

The population of a rural city follows the exponential growth model \( P(t)=3400 e^{0.039 t} \) where \( t \) is the number of years after 1994. a) What was the population of this city in 1994 ? b) What is the relative growth rate as a percent? c) Use this model to approximate the population in 2040 . a) The population in the year 1994 was b) The relative growth rate is \( \square \% \). c) The projected population for the year 2040 is (Round to the nearest whole number as needed.)

Suppose that the functions \( q \) and \( r \) are defined as follows. \[ \begin{array}{l}q(x)=-2 x+1 \\ r(x)=2 x^{2}-1 \\ (r \circ q)(-3)=\square \\ (q \circ r)(-3)=\square\end{array} \] Find the following.