Answer:
Tan(O) = 4/3
Step-by-step explanation:
According to SOH CAH TOA
cos theta = adj/hyp
cosO = 3/4
adj = 3
hyp = 5
Get the opposite
Using pythagoras theorem
opp^2 = hyp^2-adj^2
opp^2 = 5^2 - 3^2
opp^2 = 25-9
opp^2 = 16
opp = 4
Tan (O) = opp/adj
Tan(O) = 4/3
Hence Tan(O) = 4/3
Answer:
P( At least one of the two cards was a heart)=7/16
Step-by-step explanation:
The solution to this question can be found in two ways.
First way: Since total number of heart in a deck are four,
Probability that neither of two cards had a heart is that at both times the card drawn was not a heart, since it is an independent event, thus probability both were not heart=
×
=
Thus, Probability that at least one of the two cards was a heart= 1- P( Neither of two cards had a heart= 1- 
=
Second way:
Probability that first card drawn is a heart and the second one is not a heart=
×
=
Probability that the first card drawn is not a heart and the second one is a heart=
×
=
Probability that both cards drawn are hearts=
×
=
Adding all these probabilities, we have the probability that at least one of the card drawn was heart= 
Polygon ABCD was rotated 270° about point Z to form polygon A"B"C"D"
<h3>What is a
transformation?</h3>
Transformation is the movement of a point from its initial point to a new location. Types of transformation are<em> reflection, rotation, translation and dilation.</em>
Polygon ABCD was rotated 270° about point Z to form polygon A"B"C"D"
Find out more on transformation at: brainly.com/question/4289712
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Answer: 3.1
Step-by-step explanation:
Answer: 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
4: 4, 8, 12, 16, 20, 24, 28