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Since an isosceles triangle is by definition “a triangle with at least two equal sides”, your answer is d) 8 or 10, because they could be 8,8,10 or 8,10,10, and it would in any case be still isosceles. Since we don’t have any indication of the equal sides being the longer ones or the shorter ones, we can’t say for sure whether they need to be 8 or 10 :)
All you need is to do a proportion (you can also look at the question I just answered)
So you now that a 6ft tall person casts a 10ft tall shadow, and a x tall tree casts a 35ft shadow
You can also write it as 6:10=x:35 -> (6*35):10 -> the tree has to be 21ft to fit your problem :)
Assuming that 3 inches are 35 actual miles (If I am assuming wrong please correct me, but I don’t really understand what you meant by “1 2 3 inches”), and you need to find out how much 8 inches would be, you just need to put down a proportion.
So you have that 3in:35m=8in:x
So you have (35*8):3= 93,(3)m, which fits, if you consider that 3in are 35m, so 6 inches would be 70m and 8 a bit less than 105m!
Then you need to know how much 75miles would be, and you do just the same thing. You put down the proportion this way
So you have (3*75):35= 6,42~inches
Hope I helped!
3(2) + 5 ≥ 12 ?
6 + 5 ≥ 12 ?
11 ≥ 12 ?
No, 11 is not greater or equal than 12.
distance=rate*time (I remember this as DRT i.e. “dirt”)
distance= (200 miles/hour)(4 hours)
800 miles (the hours cancel out)
The field axioms. Intuitively, a field is a set equipped with two operations, addition and multiplication, each of which make the set a commutative group. Furthermore, the operations are compatible by the law of distributivity.
(Edit: there is a typo in the 7th axiom, which should read (x · y) · z = x · (y · z), of course. Thanks for noticing, archonsandtaters!)
Check out this submission we got from mathbreakers:
State Machines explained using a math video game
Mathbreakers is a 3-D adventure-exploration game that currently teaches math in a very visual and tactile way to kids 7-12. We’re trying to push the upper bounds of the gaming platform, which is why we built the Turing trains ;-) We’ll be doing additional higher math experiments using the game in the near future!
The game is currently on Kickstarter — we hope you can check it out! https://www.kickstarter.com/projects/mathbreakers/mathbreakers-a-3-d-math-exploration-game
Okay so volume is base x height x width.
We know height and width and what it has to be equal to in the end.
8 x 6 x “unknown” = 500
48 x “unknown” = 500
"unknown" = 10.4166666…
So the length much be at 11 inches to have a volume of at least 500in squared.
(This is assuming you need it rounded to a whole number and can’t have a length of 10.42 inches)
Okay so your amount is equal to 0.1 mg and you need to find t.
0.1 = 8(6.85)-0.36t
0.1 = 54.8-0.36t
-0.54.7 = -0.36t
151.944444… = t
We need to round this to the nearest tenth of an hour, so it will take 151.9 hours :)
I hope this helps, if not, feel free to ask again.