Step-by-step explanation:
The largest possible ellipse will have a semi-minor axis of 2 feet and a semi-major axis of 4 feet. If we center the board on the origin of the cartesian coordinate plane, we can derive the location of the foci and thus, the length of string he will need:
x^2 / 16 + y^2 / 4 = 1
Vertices:
(-4 , 0) , (4 , 0)
(0 , -2) , (0 , 2)
Answer: the answer is: 17/8377.0932444.3744444733333331903784913966668163988811118236051826609851623389659283605982659888861098263590816239690881398511111155501992835692011111111111111111111111111111111111111111111111111111111111111111111111111111111986666589623895666698266663333000023665
Step-by-step explanation: hope this helps :)
250 mL equals 0.25 liters
Answers: Choice A, Choice C
======================================================
Reason:
The distributive rule can be used in reverse to help factor.
One way to do this is to say the following steps
60 - 36w
6*10 - 6*6w
6(10-6w)
Which leads to choice A. To confirm, we can distribute the outer 6 into each term inside the parenthesis.
Similarly, choice C works because...
60 - 36w
12*5 - 12*3w
12(5 - 3w)
It can be confirmed by working the steps backwards.
There are many ways to factor this because we have multiple ways to factor 60 and to factor 36, such that we pull out a common factor each time.
Something like choice B doesn't work because 4(15-8w) = 60-32w. Close but not quite there.
Choice D doesn't work either since 3(20+12w) = 60+36w
Answer:
h = 8
Step-by-step explanation:
The formula for the volume of a prism is:
V = l x w x h
In this case, both your length and width are the same (8in).
You plug the numbers into the formula to get:
512 in³ = 8 in · 8 in ·h
512 = 64 · h
h = 8
Also, while the figure doesn't say to scale, it looks like a cube. So I probably would've went ahead and tried 8³ to see if it worked out lol!
Good luck ~