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Elanso [62]
3 years ago
11

Garrett throws a dart at a circular dartboard. The dartboard has a radius of 18 inches, and the bull’s eye in the center of the

dartboard has a radius of 4 inches. What is the probability that a dart thrown at random within the dartboard will bit the bull’s eye. Round your answer to the nearest tenth, if necessary.
A. 20.3%
B. 4.9%
C. 22.2%
D. 4.5%
Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
4 0

Answer: I think it's 4.9%

Step-by-step explanation:

I got this from another website so bare with me if this is wrong.

"Find the area of the board (this will be your sample space)

and area covered by the bull's eye (this will be numerator for calculating probability)

area of circle = πr^2

for the board, radius = 18

for the bull's eye, radius = 4

4^2π/18^2π

Pi gets canceled out

Multiply what you have left by 100

4^2/18^2 * 100 = 4.938% or 4.94% which can be rounded to the nearest tenth, which is 4.9%

dolphi86 [110]3 years ago
3 0

Answer:

D. 4.5%               Hope this helps

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PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest
Ratling [72]

Answer:

<em>he rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

Step-by-step explanation:

A quadratic equation is given by:

ax^2+bx+c =0

Here, a, b and c are termed as coefficients and x being the variable.

<em>Axis of symmetry can be obtained using the formula</em>

x = \frac{-b}{2a}

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

f(x) = x^2 + 6x - 1

⇒ a = 1, b = 6 and c = -1

g(x) = -x^2 + 2

⇒ a = -1, b = 0 and c = 2

h(x) = 2^2 - 4x + 3

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in f(x) = x^2 + 6x - 1 will be:

x = \frac{-b}{2a}

x = -6/2(1) = -3

and axis of symmetry in g(x) = -x^2 + 2 will be:

x = \frac{-b}{2a}

x = -(0)/2(-1) = 0

and axis of symmetry in h(x) = 2^2 - 4x + 3 will be:

x = \frac{-b}{2a}

x = -(-4)/2(2) = 1

<em>So, the rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

<em>Keywords: axis of symmetry, functions</em>

<em>Learn more about axis of symmetry from brainly.com/question/11800108</em>

<em>#learnwithBrainly</em>

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