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Murljashka [212]
3 years ago
5

This dart board is made up of three concentric circles. A dart will be randomly tossed at the board. What is the probability the

dart will land in the section labeled with a X?

Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

Answer:

Option B.  11\%

Step-by-step explanation:

we know that

The probability that the dart will land in the section labeled with a X is equal to divide the area of the smaller green circle by the total area

so

P=\frac{\pi (2)^{2}}{\pi (6)^{2}}\\ \\P=\frac{4}{36}\\ \\P=\frac{1}{9}\\ \\P=11\%

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What are the solutions of x^2-2x+5=0
sweet [91]

The solution of x^{2}-2 x+5=0 are 1 + 2i and 1 – 2i

<u>Solution:</u>

Given, equation is x^{2}-2 x+5=0

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}  --- (1)

<em><u>Let us determine the nature of roots:</u></em>

Here in x^{2}-2 x+5=0 a = 1 ; b = -2 ; c = 5

b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16

Since b^2 - 4ac < 0 , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}

On solving we get,

x=\frac{2 \pm \sqrt{4-20}}{2}

x=\frac{2 \pm \sqrt{-16}}{2}

x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}

we know that square root of -1 is "i" which is a complex number

\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0
3 years ago
I need help asap i need to answer it in 3 min plzzzzzz help
Natali [406]

Answer:

XZ = 9 * 4= 36

BC = 48 / 4 = 12

7 0
3 years ago
Read 2 more answers
Which quotient matches the description of solving with partial quotients for 240÷15
Illusion [34]

Answer:

C. 16

Step-by-step explanation:

240/15

Step one: 10x15= 150

              240-150= 90  

Partial quotient: 10

Step two: 6x15= 90

                 90-90= 0

Partial quotient: 6

Step 3: 10+6= 16

Answer check: 240/15= 16

3 0
3 years ago
NEED HELP ASAP!! PLEASE HELP!
Darya [45]
The second one is correct
7 0
3 years ago
Solve for x: 3x+7 = 22 *
Lorico [155]
3x+7=22
Subtract 7 to both sides
3x=15
Divide by 3
x=5
4 0
3 years ago
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