Answer:
23
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
= (10!) ÷(8!) (10-8)!
(10 × 9)÷2 = 45
Given that the length of the arc of the circle is, 9.5 ft, thus, the radius of the circle would be: 4.5 ft.
<h3>What is the Length of an Arc?</h3>
Length of arc of a circle = ∅/360 × 2πr
Radius = r.
Given:
∅ = 120°
Length of arc = 9.5 ft
Radius (r) = ?
Thus:
9.5 = 120/360 × 2× 3.14 × r
9.5 = 2.09r
r = 9.5/2.09
r = 4.5 ft
Learn more about length of arc on:
brainly.com/question/2005046
Answer:
B . -3/5
Step-by-step explanation:
If ∛(-27/125) then
∛(-27/125)
= ∛(-3/5)^3
= -3/5
Joanna can assemble her bracelet in 30 ways.
<h3>How to find the number of ways in which the bracelet can be assembled?</h3>
It is given that Joanna has 6 beads and of those 6 beads, 2 are of the same color.
The rest 4 are of different colors.
Six beads can be arranged in a circle in 6!/6 ways.
This means that the six beads can be arranged in 5! ways.
Since this is a bracelet, it can be flipped around. Therefore, it can be arranged in 5!/2 ways.
5!/2 = 5*4*3*2*1/2
= 60
Now, we know that two beads are of the same color. Therefore, we must divide this by two again.
Therefore, we get:
60/2 = 30
The six beads can be arranged in 30 ways to make the bracelet.
Therefore, we have found that Joanna can assemble her bracelet in 30 ways.
Learn more about permutations here: brainly.com/question/1216161
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