The angles and lengths of each of the given triangles are;
5) m∠B = 57.52°
6) B = 70.81°
7) AB = 55.43 Km
8) AC = 39.06 ft
<h3>How to use cosine rule?</h3>
The cosine rule is expressed as;
c = √[a² + b² - 2ab(cos C)]
5) Using cosine rule;
BC = √[21² + 13² - 2(21*13)(cos 91)]
BC = 24.89
Using sine rule, we can find angle B as;
21/sin m∠B = 24.89/sin 91
sin m∠B = (21 * sin 91)/24.89
sin m∠B = 0.8436
m∠B = sin⁻¹0.8436
m∠B = 57.52°
6) Using cosine rule;
14² = 11² + 13² - 2(11*13)(cos B)]
196 = 121 + 169 - 286(cos B)
cos B = (121 + 169 - 196)/286
cos B = 0.3287
B = cos⁻¹0.3287
B = 70.81°
7) Using cosine rule;
AB = √[24² + 36² - 2(24*36)(cos 134)]
AB = 55.43 Km
8) Using cosine rule;
AC = √[21² + 26² - 2(21*26)(cos 112)]
AC = 39.06 ft
Read more about cosine rule at; brainly.com/question/4372174
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4 + .029 | Four and nine thousandth two hundredth tenths
Answer: Well first one chocolate souffles uses 3 eggs and each lemon maringue uses 4
Step-by-step explanation: First what i did was look at the question and it shows that there is two sets, so you have to plug in some random numbers and i started at o and if you do 8*1 you would have 1 egg per each souffles and you would have 28 eggs left and that won't work because 28/3 gives some long and then i tried 2... and 8*2 is 16 so you would have 20 eggs left and of course another long answer. But if you try three, 8*3 it gives you 24 so 36-24 and you get 12 and 3*4 is 12.. so then i plugged the same numbers in for the second part.. 3*2=6 and 4*2=8 and 6+8=14
if you need better more im here to help... have a good dayy!! (✿◡‿◡)
Answer:
6x+3
Step-by-step explanation:
8x +7 - 2x - 4
8x-2x+7-4 ( combine like terms)
answer:
6x+3
Reminder:Whenever combining like terms, the sign changes the same
Hope this helps and make sure to thank me!
