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3 years ago

Abel throws a dart that hits the square shown. What is the probability that the dart does NOT hit a point in the circle?

Mathematics

1 answer:

iragen [17]3 years ago

7 0

A square side is twice of the radius

sq side: 4 x 2

sq side: 8

find the area of the square.

A = b x h

A = (8) x (8)

A = 64

<em>Area of square is 64</em>

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Find the area of the circle

Area of circle:

A = πr²

A = π(4)²

A = 16π

A = 16(3.14)

A = 50.24

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Divide the circle from the total

50.24/64

50.24/64 = 0.785

0.785 = 78.5/100 = 78.5%

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Subtract the circle's percentage from 100% (the total)

100 - 78.5 = 21.5

21.5% is your chance of not hitting a point in the circle.

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21.5%, or (B), is your answer

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hope this helps

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824 bacteria will be on the dish after 6 hours

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4 years ago

NEED THIS ANSWER BY THE END OF THE DAY PLEASE HELP !!

Alborosie

Answer:

small number is 14

Larger number is 31

Step-by-step explanation:

Let x = one number

Let y = the second number

x + y = 45

x = y - 17

Put y - 17 into the top equation for x

y - 17 + y = 45

2y - 17 = 45 Add 17 to both sides

2y = 45 + 17

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y = 62/2

y = 31

3 0

3 years ago

Write an<br> explicit formula for an, the nth term of the sequence 39, 43, 47, ....

Inga [223]

9514 1404 393

Answer:

an = 39 +4(n -1)

Step-by-step explanation:

The formula for the general term of an arithmetic sequence is ...

an = a1 +d(n -1)

Here, the sequence has first term a1 = 39 and common difference d = 43-39 = 4. So, the general term is ...

an = 39 +4(n -1)

3 0

3 years ago

3x+30+x=10+2x+5x+2 <br> i need help fast

kupik [55]

Answer:

x=6

Step-by-step explanation:

Group Like Terms:

3x+x+30=10+2x+5x+2

Add similar elements 3x+x=4x:

4x+30=10+2x+5x+2

Add similar elements 2x+5x=7x:

4x+30=10+7x+2

Group like terms:

4x+30=7x+10+2

Add the numbers 10+2=12:

4x+30=7x+12

Subtract 30 from both sides:

4x+30-30=7x+12-30

Simplify:

4x=7x-18

Subtract 7x from both sides:

4x-7x=7x-18-7x

Simplify:

-3x=-18

Divide both sides by -3:

$\frac{-3x}{-3} =\frac{-18}{-3}$

Simplify:

x=6

Hence, the correct answer is 6

4 0

2 years ago

There are 10 rolls of film in a box and 3 are defective. Two rolls are to be selected without replacement. What is the probabili

jarptica [38.1K]

Answer: $\dfrac{1}{15}$

Step-by-step explanation:

Given : Total rolls of film in the box = 10

Defective rolls =3

Probability of selecting first defective roll = $\dfrac{\text{Number of bad rolls}}{\text{Total rolls}}$

$=\dfrac{3}{10}$

Now , total rolls left = 9

Total defective rolls left = 2

Probability of selecting second defective roll = $\dfrac{\text{Number of bad rolls}}{\text{Total rolls}}$

$=\dfrac{2}{9}$

Now , the probability of selecting a defective roll followed by another defective roll = $\dfrac{3}{10}\times\dfrac{2}{9}=\dfrac{1}{15}$

Hence, the probability of selecting a defective roll followed by another defective roll is $\dfrac{1}{15}$ .

5 0

3 years ago