The answer is 6.5
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➷ As the two lengths are a, this means it is an isosceles triangle.
The two unknown angles would be equal so we can calculate them:
(angles in a triangle equal 180 degrees)
(180 - 90) / 2 = 45
Now we can use the sine rule to calculate the length a
(6 / sin(90)) x sin(45) = a
a = 4.242640687
To one decimal place, your answer would be:
a = 4.2mm
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Answer:
Θ ≈ 67.38°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosΘ =
=
=
, then
Θ =
(
) ≈ 67.38° ( to 2 dec. places )
(5b^2 - 3b + 2) + (2b - 4)
Just expand out all the brackets
5b^2 - b - 2
Answer:
a.)The total 4-letters passwords when repetition of letters is allowed are 456976
b.)The total 4-letters passwords when repetition of letters is not allowed are 358800
Step-by-step explanation:
Some situations of <em>probability</em> involve multiple events. When one of the events affects others, they are called dependent events. For example, when objects are chosen from a list or group and are not returned, the first choice reduces the options for future choices.
There are two ways to sort or combine results from dependent events. <em>Permutations</em> are groupings in which the order of objects matters. <em>Combinations</em> are groupings in which content matters but order does not.
How many 4-letter passwords can be made using the letters A throught Z if...
a)Repetition of letters is allowed?
There are only 26 possible values for each letter of the password (The English Alphabet consists of 26 letters). The total 4-letters passwords when repetition of letters is allowed are 
b) Repetition of letters is not allowed?
If repetition of letters is not allowed, we can only choose 4 letters out of 26. Using the permutation equation 
The total 4-letters passwords when repetition of letters is not allowed are 
.