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Yuri [45]
3 years ago
8

A rectangular mat has a length of 12 in. and a width of 4 in. Drawn on the mat are three circles. Each circle has a radius of 2

in. Some friends play a game throwing darts onto the mat to see who can land a dart in one of the circles.
Assuming that a dart always lands on the mat, what is the probability that a dart thrown at random will land inside one of the circles?

Use 3.14 to estimate Pi.

Enter your answer, as a decimal rounded to the nearest hundredth, in the box.



P(landing in a circle) =

Mathematics
1 answer:
pickupchik [31]3 years ago
7 0

|\Omega|=4\cdot12=48\\ |A|=3\cdot3.14\cdot2^2=37.68\\\\ P(A)=\dfrac{37.68}{48}\approx0.79

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Answer:

18/40

Step-by-step explanation:

1. Find a common denominator

8, 16, 24, 32, 40

5, 10, 15, 20, 25, 30, 35, 40

2/8 times 5= 10/40

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10/40 plus 8/40= 18/40

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What is the slope of the equation y – 3 = –4(x – 5)?
Gemiola [76]
Find the x and y intercepts or any other 2 points. (I advise you finding the y intercept though.)

then calculate for slope using:
y(2) - y(1)
________
x(2) - x(1)

The (2) and (1) are not exponents they are small numbers at the bottom of the numbers.

The slope is: 4
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wolverine [178]
You say you’re going to the police
5 0
3 years ago
Read 2 more answers
6x – 3y = 8
Nat2105 [25]

Answer:

Step-by-step explanation:

<em>The linear equation where:</em>

\large \boldsymbol {}  \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}

Solution :

\displaystyle \sf \#13. \\\\   6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3}  \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept  =-2\frac{1}{3} \\\\-------------      

 \sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5}  \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept  =-0,4 \\\\---------------  

    \dispalystye \sf \#15. \\\\ -6y+4x=8  \  |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3}  \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3}  \\\\ y-intersept  = -\dfrac{4}{3 }\\\\ -----------------

\sf \#16   .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3}  \\\\slope =1 \\\\y-intersept =3

4 0
2 years ago
HELP WILL GIVE BRAINLIEST IF CORRECT
mart [117]

Answer:

B. No, the remainder is -50.

General Formulas and Concepts:

<u>Algebra I</u>

  • Roots are when the polynomial are equal to 0

<u>Algebra II</u>

  • Synthetic Division

Step-by-step explanation:

<u>Step 1: Define</u>

Function f(x) = x³ - 10x² + 27x - 12

Divisor/Root (x + 1)

<u>Step 2: Synthetic Division</u>

<em>See Attachment.</em>

To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.

<em>Please excuse the bad handwriting. Hope this helped!</em>

6 0
3 years ago
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