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ella [17]
3 years ago
8

A circle with radius 9 has a sector with a central angle of 120°. What is the area of the sector. Provide step by step explanati

on please

Mathematics
1 answer:
inn [45]3 years ago
6 0
Okay, so you find the area of the full circle, 81pi and then 120 is 1/3 of the circle so you divide 81pi by 3 and get 27pi.
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How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
fenix001 [56]

Answer:

120

Step-by-step explanation:

Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Now we can use the permutation formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

_{6}P_{3}=\dfrac{6!}{6-3)!}

_{6}P_{3}=\dfrac{6!}{3!}

_{6}P_{3}=\dfrac{6*5*4*3*2*1}{3*2*1}

The 3*2*1 cancels out and leaves us with:

_{6}P_{3}=6*5*4

_{6}P_{3}=120

So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.

6 0
3 years ago
Read 2 more answers
What are the first five common multiples of 4 and 7
denis23 [38]
Easy, just write out the multiple of the numbers.

4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60

7: 7,14,21,28,35,42,49,56,63,70 

Etc.

But a few common multiples:

28,56,84,112,140

These are the first 5 common multiples of 4 and 7.

6 0
3 years ago
There are 10 marbles in the bag below. 7 of the marbles are red, 1 is purple and 2 are green. A marble is picked at random from
zepelin [54]

Answer:  a) 0.7

               b)  70%

Step-by-step explanation:

a) There are 10 marbles.The red marbles are 7

                so that  7/10

                 then change to decimal 7/10=0.7

b) if we get percentage *100

        so,    7÷10*100%

                 70%                            

7 0
2 years ago
6q+4-q+5<br><br> what is the answer pls tell me
JulsSmile [24]

Answer:

5q+9

Step-by-step explanation:

6q minus a is 5 q so then it would equal 5q+9

which is 4+5 equals 9

6 0
2 years ago
Read 2 more answers
Solve for W. What does W equal?
Nostrana [21]

Answer:

w=-11/6

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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