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.
__
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.
_____
<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:
2\10
Step-by-step explanation:
1\2 = 5\10
7\10 - 2\10 = 5\10
Answer:
03:24 PM
Step-by-step explanation:
Given
WMTH = Every 12 minutes
WMSU = Every 8 minutes
Required
Determine when they both play the song
To do this, we simply solve for the LCM of 8 and 12
List the factors of 8 and 12
From the above, the least common multiple is 24
This means that the song will be played on both stations 24 minutes after 3:00PM
<em>In other words, 03:24 PM</em>
Answer:
A) Construct a two-sample z -interval for the difference between population proportions.
Answer:
A . $46
Step-by-step explanation:
because 575 - 8% = 529
529 + 49 = 575