Yes, that is the famous first Pythagorean triplet: 3²+4²=5²
or
For three lengths to be able to form a triangle, it suffices that every one of those lengths is shorter than the sum and longer than the difference of the other two.
It is enough to check just one side.
So,
3 + 4 > 5
4 - 3 < 5
Your triangle is constructible.
Answer:
x + 61 = 411
Step-by-step explanation:
Let x = the number of adult tickets sold
Let x + 61 = the number of student tickets sold
x + x + 61 = 761
2x = 700
x = 350
Answer:
<2 and <8
<3 and <5
Step-by-step explanation:
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
This is my 100th question answered!
y = 80x - 60
Answer is B. y = 80x - 60
Double check:
When x = 1, y = 80(1) - 20 = 80 -60 = 20
When x = 2, y = 80(2) - 20 = 160 -60 = 100
When x = 3, y = 80(3) - 20 = 240 -60 = 180
When x = 4, y = 80(4) - 20 = 320 -60 = 260
When x = 5, y = 80(5) - 20 = 400 -60 = 340
Answer:
The answer is 0.123.
Step-by-step explanation:
You want to find the intersection between P(Spade) and P(Red). Knowing that there's no replacement, the probability will be given by the formula:
⇒ P(Spade∩Red) = P(Spade)*P(Red/Spade)
⇒ P(Spade∩Red) = P(Red)*P(Spade/Red)
Either formula works, but I'm going to choose to work with the first formula.
Therefore:
P(Spade) = 
P(Red/Spade) = 
So:
P(Spade∩Red) = *
= 
= 
