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o-na [289]
3 years ago
14

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>

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

Find the area of the circle

Area of circle:

A = πr²

A = π(4)²

A = 16π

A = 16(3.14)

A = 50.24

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

Divide the circle from the total

50.24/64

50.24/64 = 0.785

0.785 = 78.5/100 = 78.5%

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

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.

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

21.5%, or (B), is your answer

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

hope this helps

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Step-by-step explanation:

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7 0
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Given the vectors u= &lt;2, 1&gt; and v= &lt;5, 4&gt;, determine the components of a vector represented by 2u - 3v
kati45 [8]

Answer:

C.) <-11, -10>

Step-by-step explanation:

Let's define how to work with vectors.

For two vectors:

V = <a, b>

W = <c, d>

The product of a scalar k and a vector is given by:

k*V = k*<a, b> = <k*a, k*b>

And the sum (or difference) of two vectors is given by:

V ± W  = <a, b> ± <c, d> = <a ± c, b ± d>

Now that we know this, we can solve the problem.

Here we have the vectors:

u = <2, 1>

v = <5, 4>

then:

2u - 3*v = 2*<2, 1> - 3*<5, 4>

             = <2*2, 2*1> - <3*5, 3*4>

             = <4, 2> - <15, 12>

             = <4 - 15, 2 - 12>

             = < -11, -10>

Then the correct option is C.

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yes ,you are correct

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D. similar

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