Answer:
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 76 are: 1, 2, 4, 19, 38, 76
Then the greatest common factor is 1.
Step-by-step explanation:
There are no common factors other than 1
An accurate estimate is anywhere from 0.06 to 0.07. The exact answer is 0.06921568627.
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°.
You would get the equivalent amount to 5in = ?ft then divide that by 67.5
