Find the angle of incilination of the pq

Step-by-step explanation:

We notice that if the gradient changes, then the value of \(\theta\) also changes, therefore the angle of inclination of a line is related to its gradient. We know that gradient is the ratio of a change in the \(y\)-direction to a change in the \(x\)-direction:

\[m=\frac{\Delta y}{\Delta x}\]

From trigonometry we know that the tangent function is defined as the ratio:

\[\tan \theta = \frac{\text{opposite side}}{\text{adjacent side}}\]

And from the diagram we see that

\begin{align*} \tan \theta &= \dfrac{\Delta y}{\Delta x} \\ \therefore m &= \tan \theta \qquad \text{ for } \text{0}\text{°} \leq \theta < \text{180}\text{°} \end{align*}

Therefore the gradient of a straight line is equal to the tangent of the angle formed between the line and the positive direction of the \(x\)-axis.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

i think it would be 42cm