Answer:
E
Step-by-step explanation:
Part 1. Imagine a clock without the hour hand, When clock strikes 3:35, the minute hand is at 7. When it strikes 3:55, the minute hand is in 11. Each gap between two adjacent digits in the clock measures 30°. This is because a revolution divided by 12 is 360/12 = 30. Then, the angle between the minute hands in the picture is equal to 4(30°) = 120°. Know that π radians is equal to 180°. Converting 120° to radians,
120°(π radians/180°) =
(2/3)π or 2.09 radians
Part 2. For this part, we determine the arc length intercepted by the angle 120° because this is the total distance travelled by the tip of the minute hand.
S = rθ, where θ is the angle in radians and r is the radius of the circle represented by the minute hand.
S = (4)(2.09)
S = 8.36 inches
Hence, the tip of the minute hand travelled a total distance of
8.36 inches.
Use distributive property
-28y+8y= -20y
This is a unit rate question. We can solve this in chronological order of steps:
Step 1: Write out the beginning for the first unit rate.
Faith completed 60 burpees in 5 minutes last week.
Step 2: Since 60 burpees were completed in 5 minutes, we can divide 60 by 5 to find how many burpees were completed in 1 minute.
60 divided by 5 equals 12.
5 divided by 5 equals 1.
Our fraction for how many burpees Faith did in a minute last week is 12/1. This reduces to 12, meaning that Faith did 12 burpees last week.
Step 3: Find the unit rate for this week.
Faith completed 78 burpees in 6 minutes this week. Because of this, we can divide 78 by 6 to find how many burpees Faith completed this week.
78 divided by 6 equals 13.
6 divided by 6 equals 1.
Our final fraction for how many completed burpees Faith did this week is 13/1, which reduces to 13. Therefore, Faith completed 13 burpees per minute this week.
Your final answer: In terms of separate values, Faith completed 12 burpees per minute last week and 13 burpees per minute this week. If you need help, let me know and I will gladly assist you.
Answer:
1/12
Step-by-step explanation:
1/8 times 2/3