Answer:
The larger angle is 54°
Step-by-step explanation:
Given
Let the angles be: θ and α where
θ > α
Sum = 72
α : θ = 1 : 3
Required
Determine the larger angle
First, we get the proportion of the larger angle (from the ratio)
The sum of the ratio is 1 + 3 = 4
So, the proportion of the larger angle is ¾.
Its value is then calculated as:.
θ = Proportion * Sum
θ = ¾ * 72°
θ = 3 * 18°
θ = 54°
Hi there, 3+-10=-7 so, -7+5x=13. First, we add -7 to both sides, which gives us 5x=13+7, 13+7=20, so 5x=20. Now, we divide both sides by 5, Therefore, x=4
Answer:
35
Step-by-step explanation:
Answer:
Step-by-step explanation:
Total number of pairs of socks in a drawer = 10
Number of black pairs of socks = 5
Number of blue pairs of socks = 5
A. If you picked 2 socks [black] and [blue] 3rd pick guarantees you will have one pair of either blue or black
Number of socks you pull out to guarantee that you have a pair of one color = 3 socks
B. If you want to pick 2 good pairs and your 6 picks are worst case, so 7th pick of the socks will give you good pair of two colors.
Number of socks you pull out to have two good pairs = 7 socks
C. If you want to have a pair of black socks your worst case will be you pick all 10 blue socks so another 2 socks must be black.
Number of socks you pull out to have two black socks = 12 socks
It follows from the definition of the binomial coefficient:
So we have
That is, 
gets absorbed into the numerator's factorial, and we introduct 
into the denominator. Now, 
, so we get
as required.
