The total number of all possible options is 40 (17 + 3 + 8 + 12) and number of options that fit the description of blue or large is 28 ( 17 + 3 + 8). Probability is represented as the number of desired options over the number of total options. This means the probability of a blue or large is 28 / 40 = 7 / 10.

3 0

3 years ago

A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer

marusya05 [52]

Answer:

yes

Step-by-step explanation:

Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: $a^{2} +b^{2} = c^{2}$ . Substitute using the given values:

(9^2)+(12^2)=15^2

81 + 144 = 255

255 = 255.

It satisfies the theorem therefore it is a right angle triangle.

3 0

2 years ago

If you're starting salary is 40,000 and you receive a 3% increase at the end of every year what is the total amount in dollars y

storchak [24]

$\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &40000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=\textit{elapsed time}\to &15\\
\end{cases}
\\\\\\
A=40000(1+0.03)^{16}\implies A=40000(1.03)^{16}$

7 0

2 years ago