Answer:
7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg
8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg
Step-by-step explanation:
Law of Cosines

You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.
Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.
7.
We use the law of cosines to find C.






Now we use the law of sines to find angle A.
Law of Sines

We know c and C. We can solve for a.


Cross multiply.





To find B, we use
m<A + m<B + m<C = 180
40.8 + m<B + 78.6 = 180
m<B = 60.6 deg
8.
I'll use the law of cosines 3 times here to solve for all the angles.
Law of Cosines



Find angle A:





Find angle B:





Find angle C:





The complex conjugate of a + bi is a - bi
So, the complex conjugate of -8 + 12i is -8 - 12i.
Answer:
Angela, a proportion is two equal ratios, kinda like 3/4 = 6/8.
If we call the number of cars c, then our proportion is 3/10 = c/100.
Cross multiplying, we get 10c = 300.
Dividing both sides by 10, c = 30.
C. Revising because it should be your last stage in the writing process before you publish
Answer:
In the account that paid 6% Susan invest 
In the account that paid 5% Susan invest 
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Part a) account that paid 6% simple interest per year
in this problem we have
substitute in the formula above
Part b) account that paid 5% simple interest per year
in this problem we have
substitute in the formula above
we know that

substitute and solve for x




therefore
In the account that paid 6% Susan invest 
In the account that paid 5% Susan invest 