The bird flew 5.45m far from the tree.
Step-by-step explanation:
Given,
Sin70° = 0.94
Cos70° = 0.34
Angle of flight = 70°
Refer the diagram attached for better understanding.
Cos70° = (adjacent side) / (hypotenuse)
0.34 = 2/ hyp
hyp = 2/(0.34)
hyp = 5.8 m
We have to find the opposite side of the angle of flight for the distance the bird flew.
Sin70° = (opposite side) /(hypotenuse)
0.94 = (opposite side) / 5.8
Opposite side= 0.94 x 5.8
= 5.45m
The bird flew 5.45m away from the tree to another tree.
Answer:
$153.34
Step-by-step explanation:
Use formula:
where I = Interest
P = Principal
r = rate
t = time
In your case,
P = $1,870
r = 0.0205 (or 2.05% as decimal)
t = 4
I = unknown
Hence,
Answer:
Step-by-step explanation:
- A null hypothesis is a hypothesis where a researcher generally try to disprove, it says that there is no statistically significant relationship between the two variables .
- An alternative hypothesis says that there is a statistical significance between two variables.
Claim 1. : Mean age of online dating service users is 40 years.
i.e. , since it has equals sign so we take this as null hypothesis.
Claim 2. : Mean age of online dating service users is not 40 years.
⇒ Null Hypothesis :
Alternative hypothesis :
If the function is -x^2 -4x + 2 (you skipped the operator between -4x and 2), then:
1) The domain is all the real numbers (-infinity, + infinity)
2) The range is all the real numbers below 6, given that the vertex is (2,6) and the function opens down (because the coefficient of x^2 is negative).
3) The function increases over the interval (-infinity, 2) and decreases over the interval (2,+infinity).
4) The y-intercept is the value of the function when x =0, so it is 2 (positive).
Then, the only true statement is that the range is y such that y is 6 or below
Answer:
1353 ft
Step-by-step explanation:
The cliff height and the distance from its base to the boat form the legs of a right triangle. The cliff height is the leg opposite the elevation angle, and the distance to the boat is the leg adjacent. Given these two legs of the triangle, the tangent relation seems useful:
Tan = Opposite/Adjacent
We want to find the cliff height (opposite), so we can multiply this equation by Adjacent:
Opposite = Adjacent×Tan
cliff height = (2994 ft)(tan(24°19')) ≈ 1353 ft
The cliff is about 1353 feet high.