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SVEN [57.7K]
3 years ago
14

If a dart was thrown randomly at the dart board shown below, what is the probability that it would land between the outer circle

and the middle circle? The radius of the bulls eye is 2 cm, the radius of the middle circle is 8 cm, and the radius of the outer circle is 14 cm
A.68%

B.67%

C.14%

D.75%
Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0

Answer:  B) 67%

<u>Step-by-step explanation:</u>

Find the Area of the Bullseye and Middle ring

A = π r²

A (inside) = π(8)² = 64π

Find the Area of the entire Target

A (target) = π (14)² = 196π

Find the Area of the Outer ring

A (outer ring) = A (target) - A(inside)

                      =   196 π    -    64π

                      =    132 π

The last step is to find the probability of landing on the outer ring:

P=\dfrac{success (area\ of\ outer\ ring)}{total\ possible\ outcomes(area\ of\ target)}=\dfrac{132\pi}{196\pi}=0.673=\large\boxed{67\%}

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Answer:

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Step-by-step explanation:

Rather than picking, let's try to construct one from the description.

reflected over the x axis means -\sqrt{x}

the vertex is usually at (0,0), now how do we move a graph?  or in other words  translating it.

To move left and right you use \sqrt{x-h} where if you subtract h you move right and if you add h you move left.  we go from (0,0) to (-4,2).  so 0 to -4 is 4 left, so that means we add 4.

To move up and down we use \sqrt{x}+v Here if v is positive you move up and if v is negative you move down.  going from (0,0) to (-4,2) it moves up 2

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3 years ago
The cost of belonging to a gym can be modeled by C(m)= 50m + 79.50, where C(m) is the total cost for m months of membership. Sta
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Answer:

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

Step-by-step explanation:

C(m)= 50m + 79.50,

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4 years ago
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Fudgin [204]

Answer:

The answer is 76.

Step-by-step explanation:

≅ means to be equal to.

☆Angle DGE ≅ EGF.

Therefore, 3x + 8 = 5x - 12

☆Let's solve that equation.

3x  + 8 = 5x - 12 \\  \frac{ - 5x \:  \:  \:  \:  \:  \:  \:   =  - 5x  \:  \:   \:  \:   \: \:  \:  \: }{ - 2x + 8 =  - 12}  \\  \frac{  \:  \:  \:  \:  \:  \:  \:  \: - 8  =  - 8}{  \frac{ - 2x}{ - 2}  =  \frac{ - 20}{ - 2} }   \\ x = 10

We found the value of x which is 10.

☆Let's Now plug in.

DGE \\ 3x + 8 \\ 3(10) + 8 \\ 30 + 8 \\ 38

and the other:

EGF \\ 5x - 12 \\ 5(10) - 12 \\ 50 - 12 \\ 38

☆They asked for what the angle of DGF measured. So we would have to add both sides

38 + 38 = 76

☆The answer is 76

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