5-3 is 2 multiply that by 3 and you get 6 add that to 53 and you get 59... using PEMDAS
it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .
<u>Step-by-step explanation:</u>
Here we have , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour. We need to find How long will it take for Braydon and Lauren to get to the same mile marker on the path in the park .Let's find out:
Let after time t they meet each other so , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Distance traveled is given by :
⇒ 
Now , Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour , Distance traveled is given by :
⇒ 
Equating both we get :
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .
Answer:
(Amplitude) (Correct answer: 1)
(Angular frequency) (Correct answer: 2)
(Phase shift) (Correct answer: 3)
(Vertical shift) (Correct answer: 4)
(Period) (Correct answer: 5)
Step-by-step explanation:
The general form of a sinusoidal function is represented by the following characteristics:
(1)
Where:
- Amplitude.
- Angular frequency.
- Phase shift.
- Vertical shift.
- Independent variable.
- Dependent variable.
In addition, we know that the period associated with the sinusoidal function (
) is:

By direct comparison, we get the following conclusions:
(Amplitude) (Correct answer: 1)
(Angular frequency) (Correct answer: 2)
(Phase shift) (Correct answer: 3)
(Vertical shift) (Correct answer: 4)
(Period) (Correct answer: 5)
Answer:
The height of the tree is H = 77.06 m
Step-by-step explanation:
From Δ ABC
AB = height of the tree

h = 0.9623 x ------- (1)
From Δ ABD

h = 0.77 (x + 20) ----- (2)
Equating Equation 1 & 2 we get
0.9623 x = 0.77 (x + 20)
0.9623 x = 0.77 x + 15.4
x (0.1923) = 15.4
x = 80.08 m
Thus the height of the tree is given by
H = 0.9623 x
H = 0.9623 × 80.08
H = 77.06 m
Therefore the height of the tree is H = 77.06 m