Answer:
m∠K = 37° and n = 31
Step-by-step explanation:
A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:
- a² = b² +c² -2bc·cos(A)
- k² = 31² +53² -2·31·53·cos(37°)
<h3>Comparison</h3>
Comparing the two equations, we note these correspondences:
Comparing these values to the given information, we see that ...
- KN = c = 53 . . . . . . . . . . matching values 53
- NM = a = k . . . . . . . . . . . matching values k
- KM = b = n = 31 . . . . . . . matching values 31
- ∠K = ∠A = 37° . . . . . . . matching side/angle names
Abby apparently knew that ∠K = 37° and n = 31.
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<em>Additional comment</em>
Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.
Vertex and angle K are opposite side k, also called side NM in this triangle.
Step-by-step explanation:
they're similar since 36 % 9 = 0 and 24 % 6 = 0 (they leave no remainder)
Answer:
D
Step-by-step explanation:
Answer:
Answer: $11,942.29
Step-by-step explanation:
Let the value after 9 years be y
y = 22400 (0.9325)^9
y = 11,942.29Step-by-step explanation:
U.S. Manufactured General Aviation Shipments, 2009–2015
Year Qtr 1 Qtr 2 Qtr 3 Qtr 4 Total
2009 310 408 390 477 1,585
2010 243 377 281 433 1,334
2011 268 289 286 480 1,323
2012 305 358 339 514 1,516
2013 329 413 353 520 1,615
2014 345 380 379 527 1,631
2015 296 374 378 544 1,592
Click here for the Excel Data File
(a) Plot the data on airplane shipments.
Plot A Plot B Plot C Plot D
multiple choice 1
Plot A
Plot B
Plot C
Plot D
(b) Can you see seasonal patterns?
multiple choice 2
Yes
No
(c) Use MegaStat or Minitab to calculate estimated seasonal indexes and trend. (Round your answers to 3 decimal places.)
Qtr1
Index Qtr2
Index Qtr3
Index Qtr4
Index
(d) In which quarters are shipments highest? Lowest? (You may select more than one answer. Click the box with a check mark for the correct answer and double click to empty the box for the wrong answer.)
Highest
check all that apply 1
Q1
Q2
Q3
Q4
Lowest
check all that apply 2
Q1
Q2
Q3
Q4
(e) Is there a trend in the deseasonalized data?
There is a slight
(Click to select)
trend in the deseasonalized data.
