Answer:
(1) length AB = 21.0
(2) length BC = 45.0
Step-by-step explanation:
(1) To determine AB, apply Cosine rule;
![|AB|^2 = |AC|^2 + |BC|^2 \ - \ 2[|AC| \times |BC]cos \ C\\\\|AB|^2 = 13^2 + 29^2 \ - \ 2(13 \times 29) cos(41)\\\\|AB|^2 = 1010 - 569.05\\\\|AB|^2 = 440.95\\\\|AB|= \sqrt{ 440.95} \\\\|AB| = 21.0](https://tex.z-dn.net/?f=%7CAB%7C%5E2%20%3D%20%7CAC%7C%5E2%20%2B%20%7CBC%7C%5E2%20%5C%20-%20%5C%202%5B%7CAC%7C%20%5Ctimes%20%7CBC%5Dcos%20%5C%20C%5C%5C%5C%5C%7CAB%7C%5E2%20%3D%2013%5E2%20%2B%2029%5E2%20%5C%20-%20%5C%202%2813%20%5Ctimes%2029%29%20cos%2841%29%5C%5C%5C%5C%7CAB%7C%5E2%20%3D%201010%20-%20569.05%5C%5C%5C%5C%7CAB%7C%5E2%20%3D%20440.95%5C%5C%5C%5C%7CAB%7C%3D%20%5Csqrt%7B%20440.95%7D%20%5C%5C%5C%5C%7CAB%7C%20%3D%2021.0)
(2) To determine BC, also apply cosine rule;
![|BC|^2 = |AB|^2 + |AC|^2 \ - \ 2[|AB| \times |AC]cos \ A\\\\|BC|^2 = 30^2 + 21^2 \ - \ 2(30 \times 21) cos(123)\\\\|BC|^2 = 1341 - (-686.245)\\\\|BC|^2 = 1341 + 686.245\\\\ |BC| = 2027.245\\\\|BC|= \sqrt{ 2027.245} \\\\|BC| = 45.0](https://tex.z-dn.net/?f=%7CBC%7C%5E2%20%3D%20%7CAB%7C%5E2%20%2B%20%7CAC%7C%5E2%20%5C%20-%20%5C%202%5B%7CAB%7C%20%5Ctimes%20%7CAC%5Dcos%20%5C%20A%5C%5C%5C%5C%7CBC%7C%5E2%20%3D%2030%5E2%20%2B%2021%5E2%20%5C%20-%20%5C%202%2830%20%5Ctimes%2021%29%20cos%28123%29%5C%5C%5C%5C%7CBC%7C%5E2%20%3D%201341%20-%20%28-686.245%29%5C%5C%5C%5C%7CBC%7C%5E2%20%3D%201341%20%2B%20686.245%5C%5C%5C%5C%20%7CBC%7C%20%3D%202027.245%5C%5C%5C%5C%7CBC%7C%3D%20%5Csqrt%7B%202027.245%7D%20%5C%5C%5C%5C%7CBC%7C%20%3D%2045.0)
Inductive reasoning has to do with coming to a certain prediction or a conclusion based on multiple true premises.
Here, we know that these two cats live together and that they have yellow eyes. These two statements are true. So, naturally, we can conclude that any two cats which live together will have yellow eyes.
Now, whether or not this is correct, that is beside the point.
Answer: 1 1/6 cups of sugar
Step-by-step explanation:
First let’s convert 3 1/2 into an improper fraction: 7/2
Then we multiply 7/2 by 1/3: 7/2*1/3=7/6
Then finally we convert 7/6 into a mixed number, so your answer will be 1 1/6
57.3 is the answer dididjwkjakz
Answer:
. . . . . . . . .
Step-by-step explanation: . . . . .
