ASAP Plz what is the value of x? Plz no joking around this is from quiz 4.09: Special Right Triangles 2
2 answers:
Ooh this is a good one!
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)
For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
So now, the hypotenuse (RT) = 2s = 2(2) = 4
Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4
x = 4 IS THE FINAL ANSWER!!!
[ i hope by my explanations you understand how better to do special right triangles in the future] :-D
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)
For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
So now, the hypotenuse (RT) = 2s = 2(2) = 4
Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4
x = 4 IS THE FINAL ANSWER!!!
[ i hope by my explanations you understand how better to do special right triangles in the future] :-D
You might be interested in
Answer:
(a) P(X = 4) = 0.0189
(b) P(X 4) = 0.9919
(c) P(X 4) = 0.027
Step-by-step explanation:
We are given that the probability of a successful optical alignment in the assembly of an optical data storage product is p = 0.7 .
Since we have to find the probabilities for 1st successful alignments, so the probability distribution that we will use here is Geometric distribution.
<u>Geometric distribution</u> is used when we are interested in knowing the chances of our first success.
The probability distribution of geometric distribution is given by;
where, = number of trials
k = first success = 1
p = probability of getting success = 0.70
So, X ~ Geo(p = 0.7)
(a) Probability that the 1st successful alignment requires exactly 4 trials is given by = P(X = 4)
Here, = 4, p = 0.7 and k = 1
So, P(X = 4) = =
= 0.0189
(b) Probability that the 1st successful alignment requires at most 4 trials is given = P(X 4)
P(X 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
=
=
= 0.7 + 0.21 + 0.063 + 0.0189 = 0.9919
(c) Probability that the 1st successful alignment requires at least 4 trials is given by = P(X 4)
P(X 4) = 1 - P(X < 4) = 1 - P(X
3)
P(X 4) = 1 - P(X = 1) - P(X = 2) - P(X = 3)
=
=
= 1 - 0.7 - 0.21 - 0.063 = 0.027
Let 
. Then 
, and so as 
, you have 
. The limit is then equivalent to
