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TEA [102]
3 years ago
11

Select the correct answer from the drop-down menu

Mathematics
1 answer:
oee [108]3 years ago
7 0

Answer:

r = 55.2 cm

Step-by-step explanation:

the arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × \frac{\frac{23}{20}\pi  }{2\pi } ( r is the radius )

given arc = 63.48π , then

2πr × \frac{\frac{23}{20}\pi  }{2\pi } = 63.48π ( cancel 2π on numerator/ denominator )

r × \frac{23}{20} π = 63.48π ( divide both sides by π )

\frac{23r}{20} = 63.48 ( multiply both sides by 20 to clear the fraction )

23r = 1269.6 ( divide both sides by 23 )

r = 55.2 cm

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Answer:

T(t) = 5(3)(t)

Step-by-step explanation:

There are 5 cells initially.

And it triple every hour.

So

T0 =5

T(t) = T0(3t)

Each cell has it's multipling factor because it's Will be multipling by 3 every hour

T(t) = 5(3)(t)

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From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees ar
murzikaleks [220]

Answer:

(a) 896

(b) 1000

(c) 910

Step-by-step explanation:

Number of women = 8

Number of men = 6

A committee consisting of 3 men and 3 women is to be formed.

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Number of men who don't want to serve together = 2

Remaining men = 4

Total ways = Both men who don't want to serve together are not selected + only one of them is selected.

^{8}C_{3}\cdot ^{4}C_{3}+^{8}C_{3}\cdot ^{4}C_{2}\cdot ^{2}C_{1}

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(b) 2 of the women refuse to serve together.

Number of women who don't want to serve together = 2

Remaining men = 6

Total ways = Both women who don't want to serve together are not selected + only one of them is selected.

^{6}C_{3}\cdot ^{6}C_{3}+^{6}C_{3}\cdot ^{6}C_{2}\cdot ^{2}C_{1}

1000

(c)1 man and 1 woman refuse to serve together.

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^{8}C_{3}\cdot ^{6}C_{3}-^{5}C_{2}\cdot ^{7}C_{2}

910

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3 years ago
What is the height of the trapezoid if the Area = 77 ft²? The h we don't know but the base is 14 and the line on top is 8. pleas
velikii [3]

Answer:

h = 7.333....

Step-by-step explanation:

Formula is A = 1/2h(b1+b2)

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77 = 1/2h(22)h

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5 0
3 years ago
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