Answer:
Then, the object will take 29.11 min to travel 
Step-by-step explanation:
When an object is moving at a steady speed, we can calculate the time it would take to travel a given distance using the following formula:
(equation 1)
In this particular, both the given speed and distance are mixed fractions so we'll first convert them into improper fractions to operate more easily:


So, now we can calculate the time using the equation 1:


And, if we want the result in minutes:

Then, the object will take 29.11 min to travel 
Answer:
A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.
Step-by-step explanation:
The geometrical representation of the statement is summarized in the figure below attached. The length of the line is represented by hypotenuse of the right triangle, whose value is calculated by the help of trigonometrical relations:
(1)
Where:
- Angle formed between the zip line and the tower, measured in sexagesimal degrees.
- Vertical distance between the tower and the platform, measured in meters.
- Length of the zip line, measured in meters.
If we know that
and
, then the length of the zip line is:



A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.
9514 1404 393
Answer:
-7x -3
Step-by-step explanation:
(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)
(f -g)(x) = -3x -5 -4x +2 = (-3-4)x +(-5+2)
(f -g)(x) = -7x -3
Answer:
x = 2
y = 15
Step-by-step explanation:
As the triangle is split with a line that is parallel to the base:





Similarly:






Answer:
$2,221.6 monthly
Step-by-step explanation:
A = P(1 + r)^n
A is the total amount I intend to save = $15,000
r is the yearly interest rate = 3.6% = 0.036
n is the duration to achieve my goal = 4 and 1/2 years = 54 months
15,000 = P(1 + 0.036)^54
15,000 = P(1.036)^54
P = 15,000/6.752 = 2,221.6
I need to put $2,221.6 into the savings account monthly