What is the exact angle between the clock hands at 6:45:00 PM? Plz show work
2 answers:
Answer:
67.5°
Step-by-step explanation:
You know the long hand would be at number 9 and you also know that from the number 6 to 9 it would be 90°. Between each number, there are also 5 smaller marks on the clock. Thus, for 90°, there would be 5×3=15 smaller marks. (I used 3 because between 6 and 9 there are 3 big numbers)
Now here's the trickier part: There are 60 minutes within 5 small marks. We can find out at which mark does the shorter hand move to at 45 minutes.
×5 = 3.75
Out of the 15 smaller marks of 90°, the 45th minute stands at 3.75. The angle of 3.75 would then be between the 15th mark and the 3.75th mark. The gap would be 15-3.75 = 11.25 marks.
×90° = 67.5°
You can refer to the picture for better visualisation of the clock. Hope this helps.
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Answer:
You would have approximately 201 insects.
Step-by-step explanation:
To calculate the final population of the insects, you need to first insert the values of each variable you know into the equation. The initial population at time would be 100 insects, the rate of population growth coverted to decimal form would be 0.1, and the elapsed time since time
is 7 days. Now the new equation would be
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You will have 201 insects in 7 days (rounded to the nearest insect).