The question, “How many ways can 4 students be chosen from a class of 30 students?”, is a(n) _____.
2 answers:
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Total students in a class = 30
Number of students is to be chosen = 4
So, we will use Combination :
<u>As Combination is the collection of the object irrespective of any arrangement.</u>
So, Number of ways to choose 4 students among the 30 students is given by
Hence, Combination is the required answer.
Therefore, Option 'A' is correct.
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We are given : Distance of the swing = 100 feet.
Distance of slide = 80 feet.
Angle between swing and slide = 30 degrees.
We need to find the distance between the swing and the slide.
Distance of swing, distance of slide and distance between the swing and the slide form a triangle.
We can apply cosine law to find the distance between the swing and the slide.
c^2 = a^2 +b^2 - 2ab cos C
c^2 = 100^2 +80^2 - 2(100)(80) cos 30°
c^2 = 10000 + 6400 -2* 8000
c^2 = 16400 - 8000
c^2 = 16400 - 13856
c^2 = 2544
c= 50.44
c = 50 feet approximately.
<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>Answer:
y≤3
Step-by-step explanation:
5y+4≤22−y
<em>Step 1: Simplify both sides of the inequality.</em>
5y+4≤−y+22
<em>Step 2: Add y to both sides.</em>
5y+4+y≤−y+22+y
6y+4≤22
<em>Step 3: Subtract 4 from both sides.</em>
6y+4−4≤22−4
6y≤18
<em>Step 4: Divide both sides by 6.</em>
6y/6≤18/6
y≤3
