9514 1404 393
Answer:
about 71.6°
Step-by-step explanation:
The relevant trig function is ...
Tan = Opposite/Adjacent
Here, the "opposite" side of the right triangle is the height of the tower. The "adjacent" side is the distance to the tower. Then if the angle is x, we have ...
tan(x) = 900/300 = 3
x = arctan(3) ≈ 71.6°
Megan's angle of elevation is about 71.6°.
Answer:
±2√21.
Step-by-step explanation:
First, you break 84 down into √4⋅√21.
That is equal to ±2√21.
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Answer:
complementary and adjacent
Step-by-step explanation:
step 1
<span>compute the average: add the values and divide by 6
Average =(44+ 46+40+34+29+41)/6=39
step 2
</span><span>Compute the deviations from the average
dev: (44-39)=5,
</span>dev: (46-39)=7
dev: (40-39)=1
dev: (34-39)=-5
dev: (29-39)=-10
dev: (41-39)=2
step 3
<span>Square the deviations and add
sum (dev^2): 5^2+7^2+1</span>^2+-5^2+-10^2+2^2
sum (dev^2): 25+49+1+25+100+4-----> 204
step 4
<span>Divide step #3 by the sample size=6
(typically you divide by sample size-1 to get the sample standard deviation,
but you are assuming the 6 values are the population,
so
no need to subtract 1, from the sample size.
This result is the variance
Variance =204/6=34
step 5
</span><span>Standard deviation = sqrt(variance)
standard deviation= </span>√<span>(34)------> 5.83
the answer is
5.83</span>
Answer:
2km/m
Step-by-step explanation:
6 laps = 10km
(because 3 x 2 = 6 and double 5km as well)
Distance divide time = speed
20 mins divided by 10km = 2km per minute
