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dimulka [17.4K]
3 years ago
10

A circle with area 81 pi has a sector with a central angle of 120 degrees. What is the area of the sector?

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
6 0

Answer:

27pi

Step-by-step explanation:

120/360 × 81pi

27pi cm²

Savatey [412]3 years ago
4 0

Answer: 27 pi

Step-by-step explanation:

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John and Annie have two distinguishable ponds. Initially, each of the ponds contains four ducks and five geese. John first picks
Sladkaya [172]

Answer: 4/9

Step-by-step explanation:

The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)

Pt = Po+Pi

Since the total number of birds in the right pond is 10 after the addition of one by john

Po= 4/10

Pi= the of john adding a duck × the probability of annie picking the added bird

Pi= 4/9 × 1/10

Pi = 4/90

Pt= 4/10 + 4/90

Pt = (36+4)/90

Pt=40/90

Pt= 4/9

(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)

Thanks.

4 0
3 years ago
You bought the new PS5 and 4 games for $660. the PS5 cost $499 and each game cost the same amount. Write an equation that can be
nirvana33 [79]
4x+499=660
X=40.25
X equeals the amount for each game.
4 0
2 years ago
Solve and show work <br> What is 10% of 40
Daniel [21]
10% of 40 is 4.

1% of 40 = 40/100 = 0.4.

10% of 40 = 10.

Write 10% as a decimal number = 10% = 10/100 = 0.1

Multiply 0.1 by 40 = 0.1 × .40 = 4
8 0
3 years ago
Read 2 more answers
A survey asked 247 students what their favorite subject was. Of those students, there were 115 boys. One hundred two students an
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Answer:

Step-by-step explanation:

you have to add a table

6 0
3 years ago
Quality control finds on average that 0.026% of the items from a certain factory are detective. One month, 4000 items are checke
telo118 [61]

Given that 4000 items are checked in one month, let the number of detective items be represented as y.

Quality control finds on average that 0.026% of the items in the factory are detective. This implies that

\text{Number of }\det ective\text{ items = }\frac{\text{0.026}}{100}\times\text{Total number of items checked}

When 4000 items are checked, we have the number of detective items to be evaluated as

\begin{gathered} \text{Number of }\det ective\text{ items = }\frac{\text{0.026}}{100}\times\text{Total number of items checked} \\ y=\frac{0.026}{100}\times4000 \\ \Rightarrow y=1.04 \end{gathered}

Hence, the number of detective items is 1.04.

7 0
1 year ago
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