The pool was full with the dump 60 inches the water was drained out at a rate of 8 in./h right the function for this situation
Let
y -----> the number of inches in the water
x -----> the time in hours
we have that
y=60-8x -----> equation taht represent this situation
By the law of sines, m∠<em>EFG</em> is such that
sin(m∠<em>EFG</em>) / (8 in.) = sin(m∠<em>G</em>) / (7.5 in)
so you need to find m∠<em>G</em>.
The interior angles to any triangle sum to 180°, so
m∠<em>DEG</em> = m∠<em>D</em> + m∠<em>G</em> + 43°
m∠<em>DEG</em> + m∠<em>D</em> + m∠<em>G </em>= 2 (m∠<em>D</em> + m∠<em>G</em>) + 43°
180° = 2 (m∠<em>D</em> + m∠<em>G</em>) + 43°
137° = 2 (m∠<em>D</em> + m∠<em>G</em>)
68.5° = m∠<em>D</em> + m∠<em>G</em>
But ∆<em>DEG</em> is isosceles, so m∠<em>D</em> = m∠<em>G</em>, which means
68.5° = 2 m∠<em>G</em>
34.25° = m∠<em>G</em>
<em />
Then
sin(m∠<em>EFG</em>) = (8 in.) sin(34.25°) / (7.5 in)
m∠<em>EFG</em> ≈ sin⁻¹(0.600325) ≈ 36.8932°
Answer:
f=4-3t^2/t+1
Step-by-step explanation:
Answer: y-2=1/4(x-1)
Step-by-step explanation:
The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.
y-2=1/4(x-1)
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.
