A game at the state fair has a circular target with a radius of 10.7 cm on a square board measuring 30 cm on a side. Players win prizes if they throw a dart and hit the circular area only.


What is the probability of a player winning with one dart?

Answer:

[tex] \boxed{ \bold {\huge{ \text{30 \: cm}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \underline{ \: \: Given}}}[/tex]

Area of a rectangle ( A ) = 36 cm²

Width of a rectangle ( w ) = 3 cm

[tex] \star{ \sf{ \underline{ \: \: To \: Find}}}[/tex] :

Perimeter of a rectangle ( P ) = ?

First, finding the length of a rectangle ( l ) :

[tex] \boxed{\text{area \: of \: a \: rectangle = length ∗ width}}[/tex]

[tex] \dashrightarrow{ \sf{36 = length \times 3}}[/tex]

[tex] \dashrightarrow{ \sf{36 = 3 \: length}}[/tex]

[tex] \dashrightarrow{ \sf{3 \: length = 36}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{3 \: length}{3} = \frac{36}{3} }}[/tex]

[tex] \dashrightarrow{ \sf{length = 12 \: cm}}[/tex]

Length of a rectangle = 12 cm

Now, finding the perimeter of a rectangle having length of 12 cm and width of 3 cm

[tex] \boxed{ \text{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]

[tex] { \sf{perimeter \: of \: a \: rectangle = 2(12 + 3)}}[/tex]

[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 2 \times 15}}[/tex]

[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 30 \: cm}}[/tex]

Perimeter of a rectangle = 30 cm

Hope I helped!

Best regards! :D

Answer:

In deductive reasoning, if the given facts are true and you apply the correct logic, then the conclusion must be true.

Step-by-step explanation:

Answer:

All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.

Step-by-step explanation:

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

Answer:

X= -50

Step-by-step explanation:

Subtract 7 from both sides then multiply by 5.

X/5 =-10

5 x -10 = -50

So x= -50

Answer:

(10/100)*94.9 = 9.49

Step-by-step explanation:

Divide by 100 and multiply by 100-5.1 = 9.49

Answer:

4

Step-by-step explanation:

after paying for 4 movies he's spent more than how much he would pay at the other one for downloading 4 movies

Answer: 7

Step-by-step explanation: For the first figure, 7 + 3 = 10, so the perimeter would be 10 + 10 + 7 + 7, which equals Perimeter = 34. For the other figure, 7 - 4 = 3, so 3 + 14 + 14 + 3 = 34, also. Hope this helps!

Answer:

Step-by-step explanation:

Erika: y = 35x + 100

Ly: y = 60x + 25

60x + 25 = 35x + 100

25x + 25 = 100

25x = 75

x= 3 weeks

Erika: y = $35(3) + 100= 105 + 100 = $205

Ly: 60(3) + 25 = 180 + 25 = $205

Answer:57/100

Step-by-step explanation:

First, convert 3/10 into hundreths to get a denominator equal to the other:

3/10 km = 30/100km

Add the numerators: 27+30=57

Place numerator over common denominator: 57/100

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5 x 5 = 25

Answer:

no

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Answer:

The mean absolute deviation is 1

Step-by-step equation =

Take all of the numbers and add them together.

4+1+2+1+0+1= 9

Then divide by how many numbers there are. In this word problem its 6.

Divide 9 by 6.

9 ÷ 6 = 1.5

So 1.5 would be our mean.

To find the mean absolute deviation subtract our mean and our original numbers.

1.5 - 4 = 2.5

1.5 - 1 = 0.5

1.5 - 2 = -0.5

1.5 - 1 = 0.5

1.5 - 0 = 1.5

1.5 - 1 = 0.5

Add all of those numbers together.

2.5 + 0.5 + 0.5 + 0.5 + 1.5 + 0.5 = 6

Even though one of the numbers was a negative answer we add it as a positive because the mean absolute deviation can never be negative

Divide by the amount of numbers you added.

6 ÷ 6 = 1

So the mean absolute deviation is 1

I also took the test that had 10 questions and got a 100

I'm pretty late to answer but hope this helps for others in the future

I learned this like a week or less ago so my explanation might not make the most sense.

Answer:

work is attached and shown

Answer: A

Step-by-step explanation:

Your investing for your future so it will investment asset

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{k = - 9}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \text{ - 126 = 14k}}[/tex]

[tex] \text{step \: 1 \: : Intercambia los lados de la ecuación}[/tex]

[tex] \hookrightarrow{ \sf{14k = - 126}}[/tex]

[tex] \text{step \: 2 : Divide ambos lados por 14}[/tex]

[tex] \hookrightarrow{ \sf{ \frac{14k}{14} = \frac{ - 126}{14}}} [/tex]

[tex] \text{step \: 3 \: : Calcular}[/tex]

[tex] \hookrightarrow{ \sf{k = - 9}}[/tex]

[tex] \text{el valor de k es - 9}[/tex]

------------------------------------------------------------

Translation in English:

Step 1 : Swap the sides of the equation

Step 2 : Divide both sides by 14

Step 3 : Calculate

[tex] \sf{Hope \: i \: helped ! }[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \sf{TheAnimeGirl}[/tex]

Answer:

8- option 4

9- option 2

10-option 1

Answer:

6.784 × 10¹⁰

Step-by-step explanation:

→ First count the number of 0's

0000000 = 7 zero's

→ Count how many decimal places until a single digit

6.784 = 3 decimal places

→ Add the number of zero's with the decimal place's

7 + 3 = 10

6.784 × 10¹⁰

Answer:

6.784 times 10^10

Step-by-step explanation:

Hopes this helps :)

Can I pls get a brainliest

Answer:

2

Step-by-step explanation:

a negative x negative is always a positive

a negative x positive is negative

a positive x positive is negative

Answer:

x=-12

Step-by-step explanation:

4 = -8 - x

First, step +8 to get it to the other side of the question, then it will be 12 = -x

to get x move the negative to the other side x = -12

Can i have brainly please

Answer:

6(2x+1) – 3 = 4x – 5

Firstly multiply

12x + 6 -3 = 4x-5

12x - 4x = -5-3

8x = -8

x =-1

The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =

Now the given equation is,

6(2x+1) – 3 = 4x – 5

So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,

12x + 6 – 3 = 4x – 5

or, 12x + 3 = 4x – 5

Taking alike terms together we get,

12x - 4x = – 5 - 3

Solving we get,

8x = -8

Dividing both side by 8 we get,

x = -1

which is the required solution of the given equation.

Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

To learn more about equations :

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Answer:

3+2x

Step-by-step explanation:

Distribute the equation out.

1/4(12+8x)

(1/4*12)+(1/4*8x)

Multiple those out to get a new equation

3+2x

You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x

Answer: The answer is b

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

I hope this helps!

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

We have to write an integer for: a deposit of $45 *

A deposit is positive, therefore the integer will be positive.

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

Learn more about numbers here;

https://brainly.com/question/3151755

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Answer:

0

Step-by-step explanation:

im pretty sure the answer is 0. bc -17-(-17)=0 and the square root of 0 is 0.

Answer:

ten billionths place

Step-by-step explanation:

Answer:

um 2207 times 15 is 33105

Answer: 21c + 100d

Hope this helps!

Answer:

21c^2-60c-35cd+100d

Step-by-step explanation:

use foil method

(3c-5d)(7c-20)

21c^2-60c-35dc+100d simplify

21c^2-60c-35cd+100d nothing to simplify here