Work out length of ac using cosine rule

AC=14.8 cm

Step-by-step explanation:

AC^2=AB^2 +BC^2 -2(AB×BC×cos(ABC))

AC^2=7^2 +10^2 -2(7×10×cos(120))

AC^2=219

AC=sqrt(219)= 14.8 cm

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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