Answer:
1.67
Step-by-step explanation:
after the decimal we have the
tens
hundreths
thousanths
(usually math doesn't ask you to go farther than the thousanths place)
because 15/9 is 1.66666, you will go to the hundreths place and round that six. Six is one more than five so it gets rounded up. That changes the decimal to 1.67. You do not change it to 1.7, because it asked you to round to the nearest hundred not the nearest tens
Answer:
120; 643 units squared
Step-by-step explanation:
Perimeter: Add all the sides, so 120 units
_________________________________
Area: First multiply 19 by 24 for the first shape within this other shape, so That equals 456 units squared. Since we know that one whole side is 36 we can subtract 19 from it to get the lower side of the smaller shape and then multiply that by 11. So the smaller side ends up being 17. So 17 times 11 equals: 187 units squared. Then just add the areas together 187+456=643 units squared.
M = 4
n = 1
If you substitute in your values, you can see that 4 + 1 = 5
And 4 - 1 = 3
Hope this helped :)
Answer:
π/8 radians
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION
In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?
SOLUTION
✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.
Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)
Within the 1hour minutes, the hand can move with complete cycle of 2π radians
Then At time t= 45minutes
Angle through the circle at 45 minutes= 45/60 ×2π radians
= 3π/2 radians
And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians
For t=45 minutes
Then 1/12 × 2π ×45/60
= π/8 radians
Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.
