Answer:
36.65 ft (2 dp)
Step-by-step explanation:
- Angles around a point sum to 360°
- 1 hour = 60 minutes
Therefore, the minute hand of a clock travels 360° in 60 minutes
Number of degrees the minute hand will travel in 25 minutes:
To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:
Given:
- r = length of minute hand = 14 ft
= 150°
Answers:
- Discrete
- Continuous
- Discrete
- Continuous
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Explanations:
- This is discrete because we can't have half a basketball, or any non-whole decimal value to represent the number of basketballs. We can only consider positive whole numbers {1,2,3,4,...}. A discrete set like this has gaps between items. In other words, the midpoint of 2 and 3 (the value 2.5) isn't a valid number of basketballs.
- This is continuous because time values are continuous. We can take any two different markers in time, and find a midpoint between them. For example, the midpoint of 5 minutes and 17 minutes is 11 minutes since (5+17)/2 = 22/2 = 11. Continuous sets like this do not have any gaps between items. We can consider this to be densely packed.
- This is the same as problem 1, so we have another discrete function. You either score a bullseye or you don't. We can't score half a bullseye. The only possible values are {1,2,3,4,...}
- This is similar to problem 2. This function is continuous. Pick any two different positive real numbers to represent the amount of gallons of water. You will always be able to find a midpoint between those values (eg: we can have half a gallon) and such a measurement makes sense.
So in short, always try to ask the question: Can I pick two different values, compute the midpoint, and have that midpoint make sense? If so, then you're dealing with a continuous variable. Otherwise, the data is discrete.
To find the area, move each semicircle to fill up the square, you'll see there are three squares, each with an area of 4*4=16, so the total area is 3*16=48
Now the perimeter:
the perimeter of a circle is π times the diameter.
perimeter of each semicircle: (1/2)π*4=2π
there are altogether 6 arches and two straight sides, so the total is
2π*6+4*2=12π+8
the area is 48 square units, the perimeter is 12π+8 units.
Answer:
Bradly finished more
Step-by-step explanation:
0.8 is equal to 8/10, which is equal to 80/100, which is equal to 80%, whereas Max is 8%. 80 > 8.
#2 because it’s a Pythagorean theorem triple
Sorry I only know that one
