Triangle PQR has right angle Q. If sin R = 4/5 what is the value of tan P?
1 answer:
By applying Pythagorean' theorem, the value of tanP is equal to 3/4.
<h3>How to determine the value of tan P?</h3>Since triangle PQR has right-angle Q and sinR = 4/5, we have:
sinR = Opp/hyp = 4/5
tanP = Opp/Adj = QR/4
Next, we would determine the length of QR by applying Pythagorean' theorem:
PR² = QR² + PQ²
5² = QR² + 4²
25 = QR² + 16
QR² = 25 - 18
QR = √9
QR = 3 units.
For the value of tanP, we have:
tanP = 3/4.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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The probability for each event follows below:
P(A)= 0.23
P(E)= 0.24
P(F)= 0.28
P(N)= 0.12
P(O)= 0.07
P(S)= 0.06
<h3>Probability</h3>Probability can be defined as the possibility that an event will occur. For an event, the probability can be found from the ratio between the number of favorable outcomes for the event and the total number of outcomes. Values of probability vary between 0 and 1.
A probability for an event is represented by P(A), P(B), etc. And exactly this that question asks for you.
1. Arrange the text of the question
North America=23 countries
South America= 12 countries
Europe= 47 countries
Asia= 44 countries
Africa =54 countries
Oceania= 14 countries
2. Find the total of countries
3. Find P(A)
A= the event that a country is in Asia= 44 countries. Therefore,
4. Find P(E)
E= the event that a country is in Europe= 47 countries. Therefore,
5. Find P(F)
F= the event that a country is in Africa= 54 countries. Therefore,
6. Find P(N)
N= the event that a country is in North America= 23 countries. Therefore,
7. Find P(O)
O= the event that a country is in Oceania= 14 countries. Therefore,
8. Find P(S)
S= the event that a country is in South America= 12 countries. Therefore,
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