Answer:
3 4/33
Step-by-step explanation:
F = 18 ft.
The law of cosines states
c² = a² + b² - 2ab cos C
Using our information, we have
c² = 23² + 16² - 2(23)(16)cos 52
c² = 529 + 256 - 736cos 52
c² = 785 - 736cos 52
c² = 331.8732
Taking the square root of both sides, we have
c = √331.8732 = 18.22 ≈ 18
Answer:
y = -2x + 16.
Step-by-step explanation:
The slope of the perpendicular line = -1 / slope of the given line
= -1 / 1/2 = -2.
Using the point slope form of the equation of a straight line:
y - y1 = m (x - x1)
y - 8 = -2(x - 4)
y - 8 = -2x + 8
y = -2x + 16 is the required equation.
The computation illustrated by the combination shows that the number of ways will be 60 ways that the roles can be filled.
<h3>How to solve the number of ways?</h3>
From the information given, Alice, Bob, Carol, David, and Edward are being chosen for the positions of president, vice president, secretary, treasurer, and publicity chair for their school’s math club and each student can take at most two roles
It should be noted that based on the information given, This can be solved through permutations and combination. Permutations and combination implies the various ways that the objects from a set can be selected without replacement in order to be able to form subsets.
Therefore, the number of ways based on the information given will be:
= 5!/2!
= (5 × 4 × 3 × 2)/2
= 60 ways
Therefore, based on the information given above, it can be deduced that the there will be 60 ways that the roles can be filled.
Learn more about combinations and computation on:
brainly.com/question/4658834
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