Answer:
The steps are numbered below
Step-by-step explanation:
To solve a maximum/minimum problem, the steps are as follows.
1. Make a drawing.
2. Assign variables to quantities that change.
3. Identify and write down a formula for the quantity that is being optimized.
4. Identify the endpoints, that is, the domain of the function being optimized.
5. Identify the constraint equation.
6. Use the constraint equation to write a new formula for the quantity being optimized that is a function of one variable.
7. Find the derivative and then the critical points of the function being optimized.
8. Evaluate the y-values of the critical points and endpoints by plugging them into the function being optimized. The largest y- value is the global maximum, and the smallest y-value is the global minimum.
Answer:
The answer is 1,122
Step-by-step explanation:
33 x 34
Radius: r=18 feet
Cental Angle: A=44°
Each cycle (one back and forth) lasts 12 seconds
In each cycle the pendulum swings:
L=(A/360°) 2 pi r
L=(44°/360°)(2)(3.141592654)(18 feet)
L=(0.122222222)(113.0973355 feet)
L=13.82300764 feet
Rounded to 3 decimal places:
L=13.823 feet
Each minute (60 seconds) the pendulum makes:
Number of cycles: n=(60 seconds) / (12 seconds)→n=5 cycles
Then, each minute, the pendulum swings:
T=nL=5(13.823 feet)→T=69.115 feet
Answer: Each minute, the pendulum swings 69.115 feet.
Answer:
-2F=7x
Step-by-step explanation:
F*-2= -2F 3x*3x=9x
-2F=9x-2x
<u>-2F=7x</u>
Answer:
200 tiles
Step-by-step explanation:
area of the floor = 2m×4m
the tile=20cm×20cm
the tiles needed to complete the job will be
2m×4m
——–—–
20cm×20cm
change the meters to centimeters
200cm×400cm
————————
20cm×20cm
therefore the answer is 200tiles.
