Answer:
probability of picking the winning combination
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Since the order is not important, the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
The correct five numbers from a set of 5. So
Total outcomes:
Five numbers from a set of 35. So
Probability:
probability of picking the winning combination
Okay, so a kilometer=1000 meters, knowing that we can multiply 350*300 for the area, which would give us 105000 meters squared, then we divide 105000 by 1000, giving us 105 square kilometers.
In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.
..........(Equation 1)
Checking the diagram given, we see that:
VT=y, WS=22, VU=8, ST=x-2
WU=WV+VU=12+8=20
TU=5
SU=ST+TU=(x-2)+5=x+3
Thus, substituting the required values in (Equation 1) we get:
Now, as can be clearly seen, to find y we will use the first two ratios as:
In a similar manner, to find the value of x we can use the last two ratios:
After cross multiplication we get:
Which can be simplified as:
Thus, 
Therefore, the required answer is:
x=9.5 and y=8.8
Answer:
B) 1 < x < 13
Step-by-step explanation:
use triangle inequality theorem which states that the sum of any two sides must be greater than the third side
let x = third side
6 + 7 > x; x < 13
6 + x > 7; x > 1
x + 7 > 6; x > -1
there will always be one inequality which produces a negative value which you can exclude from your answer because a length cannot be negative
Answer:
The answer is
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Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
E(-1,-5) and F(-8,1)
The distance between them is
We have the final answer as
Hope this helps you
