Answer:
x
=
±
√
5
−
6
Decimal Form:
x
=
−
3.76393202
…
,
−
8.23606797
…
Step-by-step explanation:
Adjacent side to angle 60º=2/3
opposite side to angle 60º=b
hypotenuse=a
cos 60º= adjacent side / hypotenuse
cos 60º=(2/3) / a
a=(2/3) / cos 60º=(2/3) / (1/2)=4/3
tan 60º= opposite side / adjacent side
tan 60º=b / (2/3)
b=(2/3)*tan 60º=(2/3)* √3=2√3 /3
Answer:
a=4/3
b=2√3 /3
Answer:
P(A)=0.55
P(A and B)=P(A∩B)=0.1265
P(A or B)=P(A∪B)=0.7635
P(A|B)=0.3721
Step-by-step explanation:
P(A')=0.45
P(A)=1-0.45=0.55
P(B∩A)=?
P(B|A)=0.23
P(B|A)=(P(A∩B))/P(A)
0.23=(P(A∩B))/0.55
P(A∩B)=0.23×0.55=0.1265
P(A∪B)=P(A)+P(B)-P(A∩B)
=0.55+0.34-0.1265
=0.7635
P(A|B)=[P(A∩B)]/P(B)=0.1265/0.34 ≈0.3721
<em>Answer:</em>
<em>x = 6</em>
<em>Step-by-step explanation:</em>
<em>2 + 7x = 5x + 14</em>
<em>7x - 5x = 14 - 2</em>
<em>2x = 12</em>
<em>x = 12 : 2</em>
<em>x = 6</em>
<em>Good luck !</em>
