Answer:
Length of side AB = 5.6 cm
Step-by-step explanation:
From the figure attached.
In right triangle ABC,
m∠ABC = 62°
m(BC) = 12 cm
By applying Cosine rule in this triangle,
Cos62° =
Cos62°=
0.46947 =
AB = 12 × 0.46947
AB = 5.63
≈ 5.6 cm
Therefore, length of side AB = 5.6 cm
Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)The tree diagram is attached.
P(Ben Fails)=1-0.8=0.2
P(Tom Fails)=1-0.7=0.3
(b)Probability that both will pass their driving test.
P(both will pass)=0.8 X 0.7 =0.56
(c)Probability that only one of them will pass their driving test.
P(Tom Bass, Ben Fails OR Ben Pass, Tom Fails)
=(0.7 X 0.2)+(0.8 X 0.3)
=0.14+0.24
=0.38
