Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
Answer: This is a periodic relation.
Step-by-step explanation:
This is a periodic relation, that can be modeled with a sinusoidal relation, that relates the height as a function of time.
Then we can write this as h(t) = A*sin(C*t + F) + B
Where A is the amplitude, C is a constant that depends on the period, F is a phase shift, and B is the midpoint of the function.
2*A is the distance between the maximum height and the minimum height.
B is the middle height of the Femis Wheel.
Answer:
(2y - 5) (3y^2 - 4)
Step-by-step explanation:
Group and factor by using the Greatest Common Factor (GCF).
6y^3 - 15y^2 - 8y + 20
Simply multiply the terms inside the first pair of parenthesis, by the terms in the second pair of parenthesis.
2y x 3y^2 = 6y^3
2y x (-4) = 8y
-5 x 3y^2 = 15y^2
-5 x (-4) = 20
6y^3 - 8y -15y^2 + 20
Now, simply simplify the problem!
(2y - 5) (3y^2 - 4)
Marco's ticket decreased by twelve dollars. That means his richer was decreased four times. That means, he came with a group of 32 people.