According to the Triangle inequality theorem, this does not work
For a triangle to be valid, the length of any two sides added together must by greater than the length than the third side.
In this example, we can see that the side with length 1 added to the side with length 2 is equal to 3inches.
3 inches is less that 4inches (the length of the 3rd side). So that triangle does not work.
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Answer
This triangle does not work, because the sum of the lengths of any two sides of a triangle is <u>NOT</u> greater than the length of the third side.
Answer:
The center is located at (-1, -2), and the radius is 5.
Step-by-step explanation:
The general equation of a circle is given as
(x - a)^2 + (y - b)^2 = r^2
where
a and b are the centre of the circle and r is the radius
Given the equation
x2 + 2x + y2 + 4y = 20
add 1 ad 4 to both sides
x2 + 2x + 1 + y2 + 4y + 4 = 20 + 4 + 1
factorise
(x +1)^2 + (y+2)^2 = 5^2
comparing with the general equation
a = -1, b = -2, r = 5 (all measured in units)
Answer:
The question continues ; I take it is defined as a set of five white and one red number how many possible different Powerball tickets can be purchased how many possible different winning Powerball tickets are there
Step-by-step explanation:
he concept of combinatorics ( combination and permutation) is applied her
nPr = n!/(n-r)!
nCr = n!/(n-r)!r!
Hence number of possible different powerball tickets = number of ways of selection
= selecting 5 white ball from a total of 69 and selecting a red ball from a total of 26
= 69C5 x 26C1
using the formula above for combination
= 69!/(69-5)!5! x 26!/(26-1)!1!
= 292, 201, 338 ways
Answer:
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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