I am pretty sure it is D.
All the other ones don't affect the second activity...
Hope I helped...
Answer:
tan(x-y) = -16/63
Step-by-step explanation
Tan(x-y) if cscx=13/5 and coty=4/3
Given
coty = 4
1/tany = 4/3
Cross multiply
tan y = 3/4
Also since cscx = 13/5
1/sinx = 13/5
sinx = 5/13
Since sinx = opp/hyp
opp = 5
hyp = 13
Get the adjacent
hyp² = opp²+adj²
13² = 5²+adj²
adj² = 13² - 5²
adj² = 169 - 25
adj² = 144
adj = 12
cosx = adj/hyp
cosx = 12/13
tanx = sinx/cosx
tanx = (5/13)/(12/13)
tanx = 5/13 * 13/12
tan x = 5/12
tan(x-y) = tanx - tany/1+tanxtany
tan(x-y) = (5/12 - 3/4)/1+(5/12)(3/4)
tan(x-y) = (5-9/12)/1+5/16
tan(x-y) = -4/12/(21/16)
tan(x-y) = -1/3 * 16/21
tan(x-y) = -16/63
The height will be found using the formula:
sin θ=opposite/hypotenuse
opposite= height h
hypotenuse=length of the ladder
thus
sin 52=h/15
thus
h=15sin52
h=11.82 ft~ 11.8 ft (to the nearest ft)
Answer:
D. None of the choices are correct.
Step-by-step explanation:
Systematic sampling refers to a method of random sampling during which sample members are extracted from a larger population and then collecting corresponding observations using a constant interval between samples taken. This interval, called the sampling interval, is measured by deducting the size of the population by the required sample size. As per the question, the store manager asks every 25th person about the sales which is a classic example of systematic sampling.
