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Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.
Step-by-step explanation:
I suppose that the "legs" of a triangle rectangle are the cathati.
if L is the length of the shorter leg, 2*L is the length of the longest leg.
Now you can remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
Then there is one acute angle calculated as:
Tan(θ) = (shorter leg)/(longer leg)
Tan(φ) = (longer leg)/(shorter leg)
And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.
Then we need to find θ and φ.
Tan(θ) = L/(2*L)
Tan(θ) = 1/2
θ = Atan(1/2) = 26.57°
Tan(φ) = (2*L)/L
Tan(φ) = 2
φ = Atan(2) = 63.43°
Then the ratio between the larger acute angle and the smaller acute angle is:
R = (63.43°)/(26.57°) = 2.39
This means that the larger acute angle is 2.39 times the smaller acute angle.
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:
i think its d
Step-by-step explanation:
it takes away 2 from the negative. number.....and negative 5 is still greater...sorry if its wrong
