This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.
For the resulting sum we can use the Law of Cosines or just add up the components. Let's try it both ways.
Components first. In the east direction we have
300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour
In the north direction we have
0 + 100 sin 30° = 100 (1/2) = 50 miles per hour
So a total speed of
sqrt{386.6^2 + 50^2} = 389.82 miles per hour
Answer: 389.82
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OK let's try the Law of Cosines. We have sides 300 and 100 and included angle 150°.
So its asking you to find the gravity on earth relative to the gravity on mars.
Set up an equation to figure out the difference between the two gravities
x=.38
I don't know what constant of proportionality is in this context but a ball on mars would weigh .38 the amount that it does on earth.
Answer:
test statistic is ≈ -0.36
p-value is ≈ 0.64
There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.
Step-by-step explanation:
a hypothesis test where H_0: mu = 235 and H_1:mu > 235
test statistic can be calculated as follows:
z=
where
- sample mean driving distance (233.8 yards)
- M is the average expected distance that the average golfer can hit the ball under null hypothesis. (235 yards)
- s is the standard deviation (46.6 yards)
- N is the sample size (192)
Then test statistic is z=
=-0.3568
p-value is 0.64 >0.05
There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.
Answer:
EBC and ABE, as well as ABD and ABE
Step-by-step explanation:
Supplementary angles form an 180 degree angle. In other words, they form a straight line.
EBA and DBC are each greater than 90 degrees and are vertical angles, not supplementary angles.
EBC and ABE form a straight line. So they are supplementary angles.
ABD and ABE form a straight line. So they are also supplementary angles.
CBE and ABD are each less than 90 degrees and are vertical angles, not supplementary angles.
So, EBC and ABE, as well as ABD and ABE are the correct choices.
Answer:
Step-by-step explanation:
One way to put that into words would be "4 added to some number". Another way could be "the sum of some number and 4" or "4 more than some number". They all mean the same thing.
