Answer:
(a) 4
(b) 2√3
(c) 60°
(d) 120°
Step-by-step explanation:
(a) The relationship between tangents and secants is ...
CB^2 = CD·CA
Filling in the given values, we find ...
CB^2 = 2·(2+6) = 16
CB = √16 = 4
The length of BC is 4 units.
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(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.
CA^2 = CB^2 +AB^2
8^2 = 16 +AB^2
AB = √48 = 4√3
The radius is half the length of AB, so the radius is 2√3.
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(c) The measure of angle C can be determined from the cosine relation:
cos(C) = CB/CA = 4/8 = 1/2
C = arccos(1/2) = 60°
The measure of angle C is 60°.
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(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.
The measure of arc AD is 120°.
So you already know the difference between the new number and original number, so all you have to do now is plug it in to this: Percentage Change=Difference/Original Number x100. So 17.99/257=.07x100 which equals 7%. So B is the correct answer.
Answer
by interval notation answer would be: (-∞,∞)
Step-by-step explanation:
Answer:
A) The indicated values of F(x) for x=-3 and x=5 are 
and 
B) The domain of f is the set of all real numbers
Step-by-step explanation:
Given that the function F is defined by
for x=-3,5
A) To find F(x) for the indicated values of x :
Given for x=-3,5
- Put x=-3 in the given function
Therefore
- Put x=5 in the given function
Therefore
The indicated values of F(x) for x=-3 and x=5 are and
B) To find the domain of f :
The domain of the f in the given expression is the set of all real numbers except where the expression 
is undefined. In this case, there is no real number that makes the expression undefined.
The domain of f is the set of all real numbers
