Answer:
Step-by-step explanation:
<h3>Answer:</h3><h3>T
wo possible smallest and largest angles are 11.78° and 78.22°.</h3>
Step-by-step explanation:
Minigolf ball will follow a trajectory to get into the hole.
Since range of a trajectory is calculated by the formula,
![R=\frac{u^{2}sin2\theta}{g}](https://tex.z-dn.net/?f=R%3D%5Cfrac%7Bu%5E%7B2%7Dsin2%5Ctheta%7D%7Bg%7D)
Where u = initial speed of the ball
θ = angle between the hole and direction in which the ball has been projected
g = gravitational pull
Now we plug in the values in the formula,
![2=\frac{7^{2}sin(2\theta)}{9.8}](https://tex.z-dn.net/?f=2%3D%5Cfrac%7B7%5E%7B2%7Dsin%282%5Ctheta%29%7D%7B9.8%7D)
sin2θ = ![\frac{2\times 9.8}{49}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Ctimes%209.8%7D%7B49%7D)
2θ = ![sin^{-1}(0.4)](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%280.4%29)
2θ = 23.57° or 156.43°
θ = 11.78° or 78.22°
Hence two possible smallest and largest angles are 11.78° and 78.22°.
Answer:
a. ∆EGF ≅ ∆EGD
Step-by-step explanation:
Congruent triangles would have the same side lengths and the same measure of angles.
From the figure given:
EG in ∆EGF ≅ EG in ∆EGD
GF in ∆EGF ≅ GD in ∆EGD, also
EF ≅ ED.
The three angles in ∆EFG are also congruent to the three angles in ∆EGD.
Therefore, ∆EGD is congruent to ∆EGF.
∆EGF ≅ ∆EGD
Answer:
The domain is ![x\geq 7](https://tex.z-dn.net/?f=x%5Cgeq%207)
The range is ![y\geq 1](https://tex.z-dn.net/?f=y%5Cgeq%201)
Step-by-step explanation:
we have
![y=\sqrt{x-7} +1](https://tex.z-dn.net/?f=y%3D%5Csqrt%7Bx-7%7D%20%2B1)
<em>Find the domain</em>
Remember that
The domain of a function is the set of all possible values of x
we know that the radicand of the function must be greater than or equal to zero
so
![x-7\geq 0](https://tex.z-dn.net/?f=x-7%5Cgeq%200)
solve for x
![x\geq 7](https://tex.z-dn.net/?f=x%5Cgeq%207)
therefore
The domain is ![x\geq 7](https://tex.z-dn.net/?f=x%5Cgeq%207)
<em>Find the range</em>
Remember that
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
For x=7
The value of y is equal to
![y=\sqrt{7-7} +1=1](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B7-7%7D%20%2B1%3D1)
so
The solution for y is the interval [1,∞)
therefore
The range is ![y\geq 1](https://tex.z-dn.net/?f=y%5Cgeq%201)
Answer:
a. −1973700x
b. 0.12
c. 1344
d. −
36.2
Step-by-step explanation: