Answer:
x = 10 units
Explanation:
First, let's consider the smaller triangle.:
It is a right-angled triangle, therefore, we can use the special trig functions.
tan θ = opposite / adjacent
tan 45 = opposite / 5
opposite = 5
Now, for the larger triangle:
It is also a right angled triangle which means that we can use the special trig functions.
sin θ = opposite / hypotenuse
sin (30) = 5 / x
x = 10 units
Hope this helps :)
Answer:
Step-by-step explanation:
1) In a telescoping series almost every term cancels either with a prior or with the subsequent term. To determine if a Series converges to a finite value or infinite value we need to calculate its partial sum.
2) So let's start with this sum:
3) Let's sum its partial sum to find out if it converges or diverges, i.e.:
4) The value for this
Then this Telescoping Series is divergent, because it does not converge to a finite value.
The number that comes after 32 is 41
Answer:
0.444
Step-by-step explanation:
The objective is to draw the tree diagram and find the probability that the roadrunner took the high road, given that he was caught.
The tree diagram is attached in the image below:
The required probability can be computed as:
I guess this is <span>probability, so here it is.
The </span>probability of Stephanie being on a top bunk is 50%
The probability of Stephanie being in Spruce Cabin is 3333.3%
The probability of Stephanie being in Pine cabin on bottom bunk is 80%