Answer:
46.05degrees
Step-by-step explanation:
Given the following
Height of tree = 18ft (Opposite)
length of shadow = 25ft (hypotenuse)
Required
Angle of elevation
Sin theta = opp/hyp
Sin x = 18/25
sin x = 0.72
x = arcsin(0.72)
x = 46.05
Hence the angle of elevation of the sun is 46.05degrees
Answer:
We can conclude that only option B is correct.
Step-by-step explanation:
A. The equation 3(3x - 2) - 4 = 5x has a solution.
Solving it we get,
3(3x - 2) - 4 = 5x
⇒ 9x - 6 - 4 = 5x
⇒ 4x = 10
⇒ x = 2.5
B. The equation 4(2x - 3) - 5 = 4x has exactly one solution.
Solving it we get,
4(2x - 3) - 5 = 4x
⇒ 8x - 12 - 5 = 4x
⇒ 4x = 17
⇒ x = 4.25
C. The equation 5(3x - 2) - 2 = 3x also has exactly one solution.
Solving it we get,
5(3x - 2) - 2 = 3x
⇒ 15x - 10 - 2 = 3x
⇒ 12x = 12
⇒ x = 1
D. The equation 6(2x - 3) - 3 = 2x also has exactly one solution.
Solving it we get,
6(2x - 3) - 3 = 2x
⇒ 12x - 18 - 3 = 2x
⇒ 10x = 21
⇒ x = 2.1
Therefore, we can conclude that only option B is correct. (Answer)
Answer:
Step-by-step explanation:
Function to be graphed is,
h(x) = 2(x - 3)²
Function 'h' is a quadratic function.
Since, the coefficient of the leading term (term with the highest power) is positive, parabola will open upwards.
Both the ends of the parabola will be upwards (towards positive infinity).
As x approaches to negative infinity, h(x) approaches to positive infinity.
As x approaches to positive infinity, h(x) approaches to positive infinity.
Answer:
0.25
Step-by-step explanation:
1 divided by 4
