Answer:
Apply the sine theorem in triangle ABC:
sin C = AB/AC = 4/5
=> C = arcsin(4/5) = 53.13 deg
As shown in picture, AB//CD. Using the same side interior angles theorem:
=> angle BCD = angle ABC = 90 deg
=> angle ACD = 90 - angle ACB = 90 - C = 90 - 53.13 = 36.87 deg
Apply the cosine theorem in triangle ACD:
cos C = AC/CD
=> CD = AC/cos C = 5/cos(36.87) = 5/0.8 = 6.25
=> Option C is correct
Hope this helps!
:)
Answer:
Step-by-step explanation:
y=-2x
Answer:
Step-by-step explanation:
The probability an electric motor is defective is 5%. This means that the probability of success, p = 5/100 = 0.05
The probability of failure, q = 1 - p = 1 - 0.05 = 0.95.
number of samples is 100, so n = 100
We would apply binomial distribution. The formula for binomial distribution is expressed as
P(x = r) = nCr × q^(n - r) × p^r
We want to determine the probability that there would be no defective. This is expressed as
P(x = 0) = 100C0 × 0.95^(100- 0) × 0.05^0 = 1 × 0.0059 × 1 = 0.006
The composite function of f(x) and g(x) is given by:
(f ∘ g)(x) = x.
Since the composite function equals x, it means that f(x) and g(x) are inverses of each other.
<h3>What is the question?</h3>
This problem is incomplete, but researching it on a search engine, it asks for the composite function of f(x) and g(x).
<h3>What is the composite function of f(x) and g(x)?</h3>
The composite function of f(x) and g(x) is given by:
(f ∘ g)(x) = f(g(x)).
For this problem, the functions are given as follows:
Hence the composite function is given by:
(f ∘ g)(x) = f(g(x)) = f(0.5(x + 7)) = 2[0.5(x + 7)] - 7 = x + 7 - 7 = x.
Since the composite function equals x, it means that f(x) and g(x) are inverses of each other.
More can be learned about composite functions at brainly.com/question/13502804
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