Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.
2 answers:
Answer:
Long Or 12,12
Hypotenuse 14
(Inch /cm.. we don’t have any info about units)
Step-by-step explanation:
As we have an 90ºangle we can use trigonometry.
To know the long side we use tangent because it involves the side we know and the one we want to know.
Tg & = opposite side/ adjacent side
Then opposite side = tg& adjacent side
To get the long side i need to use the wide angle as the opposite, and the short side as the adjacent side.
Long= tg 60º . 7 =
To get the hypotenuse we can use
Cos&=adjacent/hypotenuse
Then hypotenuse=adjacent/cos&
Using the same angle
Hypotenuse = 7/cos60º = 14
(As we have both sides we colud have used Pitágoras instead)
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Answer:
2nd car is running faster than the first car by 2.01 units.
Step-by-step explanation:
Let's assume that
- the velocity of first car,
- and the velocity of second car
=> speed of first car,
= 32.01 units
and speed of second car,
= 30 units
= 2.01 units
Hence, 2nd car is running faster than the first car by 2.01 units.
The critical f-value when the sample size for the numerator and the denominator is given using a two-tailed test will be 0.12 and 14.88.
We have,
The sample size for the numerator = 6,
i.e.
Numerator degree of freedom = 6 - 1 = 5,
And,
The sample size for the denominator = 4,
i.e.
Denominator degree of freedom = 4 - 1 = 3
And,
We have to use a two-tailed test,
So,
The significance level = = 0.05
And,
Now,
The test follows the F-distribution with (5, 3) degrees of freedom,
Now,
Using the F-table at significance level 0.05 and check for given degrees of freedom,
We get,
Critical f-values : 0.12 and 14.88
Hence, we can say that the critical f-value when the sample size for the numerator and the denominator is given using a two-tailed test will be 0.12 and 14.88.
Learn more about critical f-value click here:
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