Down because the slope is negative
Answer: b=9
Step-by-step explanation: To find the slope we use: y2-y1/x2-x1
Which would then be: 5-b/-2-7= 5-b/-9
Then we have to find a number for b that would give us -4 as the numerator. That number would be 9
This would give us 4/9 which is the slope we already had.
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.
The answer is 46.125 hope this helped :)
Answer:
54
Step-by-step explanation:
You have to do the number of options in each category by itsself
