Answer:
D) 3.8 cm
Step-by-step explanation:
There are several ways this problem can be solved. Maybe the easiest is to use the Law of Cosines to find angle BAC. Then trig functions can be used to find the length of the chord.
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In triangle BAC, the Law of Cosines tells us ...
a² = b² +c² -2bc·cos(A)
A = arccos((b² +c² -a²)/(2bc)) = arccos((8² +6² -3²)/(2·8·6)) = arccos(91/96)
A ≈ 18.573°
The measure of half the chord is AB times the sine of this angle:
BD = 2(AB·sin(A)) ≈ 3.82222
The length of the common chord is about 3.8 cm.
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<em>Additional comment</em>
Another solution can be found using Heron's formula to find the area of triangle ABC. From that, its altitude can be found.
Area ABC = √(s(s-a)(s-b)(s-c)) . . . . where s=(a+b+c)/2
s=(3+8+6)/2 = 8.5
A = √(8.5(8.5 -3)(8.5 -8)(8.5 -6)) = √54.4375 ≈ 7.64444
The altitude of triangle ABC to segment AC is given by ...
A = 1/2bh
h = 2A/b = 2(7.64444)/8 = 1.911111
BD = 2h = 3.822222
Answer:
468.74.
Step-by-step explanation:
We have been given that z varies directly as x and inversely as y. We can represent this information in an equation as:
First of all, we will find constant of variation using our given equation.
Upon substituting our given values in our equation, we will get:
Therefore, z is approximately 468.74.
<span>The correct option is: Option (C) None
Explanation:
All triangles must satisfy the following condition:
"The sum of all the angles of a triangle should be 180°."
90° + 60° + 60° = 210°
210° > 180°; therefore, the condition of a triangle is NOT satisfied.
Hence the correct option is "(C) None." (as the condition of a triangle is not satisfied)</span>
Think it's done like this but im not sure if the tan2x part is correct