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yan [13]
3 years ago
9

Find the m∡B to the nearest tenth of a degree if cos B = 0.8926 and ∡B is an acute angle

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0

Answer:

26.8°

Step-by-step explanation:

The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.

If cos B = 0.8926

then arc cosine 0.8926  which may be expressed as cos-1 0.8926 will give the value of B.

B = cos-1 0.8926

= 26.8°

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The complete table of truth value for the composite proposition:

       p           q          ¬ q          p ∨ ¬ q            (p ∨ ¬ q) ⇒ q

       T           T             F              T                           T

       T           F             T              T                           F            

       F           T             F              T                           T

       F           F             T              T                           F                

<h3>How to fill a truth table with composite propositions</h3>

In mathematics, propositions are structures that contains a truth value. There are two truth values in classic logics: True, False. Composite propositions are the result combining simpler propositions and operators. There are the following logic operators and rules:

  1. Negation changes the truth value of the proposition into its opposite.
  2. Disjunction brings out "true" value when at least one of the two propositions is so.
  3. Conjunction brings out "true" value when the two propositions are so.
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Now we present the complete table of truth value for the composite proposition:

       p           q          ¬ q          p ∨ ¬ q            (p ∨ ¬ q) ⇒ q

       T           T             F              T                           T

       T           F             T              T                           F            

       F           T             F              T                           T

       F           F             T              T                           F                          

To learn more on truth values: brainly.com/question/6869690

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