<h3>answer:56.764705882</h3>
<h3>Explanation:hope its help</h3>
Working with the right side:
cot(<em>x</em>) + 2 tan(<em>x</em>) + tan³(<em>x</em>) = cos(<em>x</em>)/sin(<em>x</em>) + 2 sin(<em>x</em>)/cos(<em>x</em>) + sin³(<em>x</em>)/cos³(<em>x</em>)
… = (cos⁴(<em>x</em>) + 2 sin²(<em>x</em>) cos²(<em>x</em>) + sin⁴(<em>x</em>)) / (sin(<em>x</em>) cos³(<em>x</em>))
Factorize the numerator as a sum of squares:
<em>a</em>⁴ + 2 <em>a</em>² <em>b</em>² + <em>b</em>⁴ = (<em>a</em>² + <em>b</em>²)²
… = (cos²(<em>x</em>) + sin²(<em>x</em>))² / (sin(<em>x</em>) cos³(<em>x</em>))
Recall that
cos²(<em>x</em>) + sin²(<em>x</em>) = 1
… = 1 / (sin(<em>x</em>) cos³(<em>x</em>))
… = 1 / (sin(<em>x</em>) cos³(<em>x</em>)) • cos(<em>x</em>)/cos(<em>x</em>)
… = cos(<em>x</em>) / (sin(<em>x</em>) cos⁴(<em>x</em>))
… = cot(<em>x</em>) sec⁴(<em>x</em>)
Answer:
A length=24ft, width=15ft
Step-by-step explanation:
the side AB have x values of 5 and the side with CD have x values of 10 so the width from b to d or a to c is 5 so the width of the drawing is 5cm
the bottom side AC has y values of 8 and the top side BD has y values of 16 so they are 8 apart so the length of the rectangular drawing is 8cm
then the scale says that 1 cm = 3 ft so multiply the length and width each by 3 to get the answer that the length of the sail is 24ft and the width is 15ft
Hope this helps! :)
Answer:
As per dot plots we see the distribution of prices is close but majority of prices are concentrated in different zones. So MAD would be more similar by the look.
<u>Let's verify</u>
<h3>Neighborhood 1</h3>
<u>Data</u>
- 55, 55, 60, 60, 70, 80, 80, 80, 90, 120
<u>Mean</u>
- (55*2+ 60*2+ 70+ 80*3 + 90+ 120)/10 = 75
<u>MAD</u>
- (20*2+15*2+5+5*3+15+45)/10 = 15
<h3>Neighborhood 2</h3>
<u>Data</u>
- 100, 110, 110, 110, 120, 120, 120, 140, 150, 160
<u>Mean</u>
- (100 + 110*3+ 120*3+ 140 + 150+ 160)/10 = 124
<u>MAD</u>
- (24+14*3+4*3+16*3+16+26+36)/10 = 20.4
As we see the means are too different (75 vs 124) than MADs (15 vs 20.4).
Answer:
the item would cost 25.65
Step-by-step explanation:
