The proffesional runner can run 50/12 miles or 4 1/6.
To figure this out turn both mixed numbers into improper fractions (denominator x whole number + numerator) and multiply both of the improper fractions ( numerator x numerator denominator x denominator )
10 yards per 5min is
10yrd/5min
first convert it into yards per minute
10yrds/5min = 2yrds/1min
let's first so the yards to feet part first
1 yrd = 3 feet
2yrds/min * 3ft/1yrd
so now we have
6yrds/min
now convert minute to hour
1 hour = 60 mins
6yrds/min * 60min/1hr
=360/1hr
remember so that units cancel
Okay the question is simple provided you understand what these 4 terms mean. I imagine that must be the sticking point here.
In the geometric sense, similarity means one thing scales to another. This doesn't make a huge amount of sense with regards to a single length. But if you have a triangle of lengths 3,4,5 and another of lengths 6,8,10, these are similar because it is all in the same proportion. The only difference is one is twice as large in the length sense.
Collinear means on the same line. Again this doesn't make a huge amount of sense in this context, usually we refer to points being collinear, for example (1,1), (2,2) and (3,3) are all on the same line y = x. In this context, it is saying that both diagonals are exactly the same line, which doesn't make sense.
Congruence, in the geometric sense, means the same. A 3,4,5 triangle can only be congruent to another 3,4,5 triangle. This then is saying that the lengths of the two diagonals are the same in a rhombus. This is indeed true, a property that can be proved using elementary vector geometry.
Finally we have perpendicularity, the property in two dimensions whereby two lines have an angle of 90 degrees between them. In fact only a very special rhombus will have this property, a square. Hence this isn't likely to be the answer to the question because it is not true for all rhombi.
The answer is congruent. I hope this helps :)
When you toss a coin 3 times here is what can happen:
H=heads
T= Tails
HHH TTT
<u>HHT</u> TTH
HTH THT
HTT THH
Since 8 things can happen and only one of them is what you want, the probability is 1/8
Another way to think about it is each toss has 1/2 of coming up as you want it to.
Three tosses are 1/2 x 1/2 x 1/2 which is 1/8
Answer:
54m-36n
Step-by-step explanation:
9·6m= 54m
9·(-4n)= -36n
54m-36n
