Answer:
√2/2
Step-by-step explanation:
If sinP = √2/2,
Rationalize;
√2/2
= √2/2,*√2/√2
√4/2√2
= 2/2√2
= 1/√2
Hence sinP = 1/√2
Take sin inverse of both sies
arcsinP = arcsin1/√2
P = 45 degrees
cos P = Cos 45
= 1/√2
= 1/√2 * √2/√2
= √2/2
Hence the value of cosP is √2/2
Answer:
= 20n + 12
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 52 - 32 = 72 - 52 = 92 - 72 = 20
This indicates the sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 32 and d = 20, thus
= 32 + 20(n - 1) = 32 + 20n - 20 = 20n + 12
Answer: x = -1
Step-by-step explanation:
Starting:
x-5(x+1)=3x+2
Simplify the left side:
-4x-5=3x+2
Move all the terms with an x to the left:
-7x-5=2
Move all the terms without an x to the right:
-7x=7
Divide both sides by -7:
x = -1
A reseacher wants to collect a sample to learn more about the wild lemur population in Madagascar. According to this, the true statement is the reseacher can assign each lemur a number and then use a systematic sampling (option A).
Systematic sampling is a form of sampling characterized by choosing the sample at random. According to the above, random sampling is the best option for the researcher.
It is not easy to study the entire population of lemurs in Madagascar, therefore systematic sampling is ideal. In this way, the researcher can sample a few lemurs and using this probability method can draw conclusions.
According to the above, the correct answer is A. because it presents information corresponding to the situation presented.
Learn more in: brainly.com/question/24317913
