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OlgaM077 [116]
3 years ago
9

A target with a diameter of 14cm has 4 scoring zones by concentric circles. The diameter of the center circle is 2 cm. The width

of each ring is 2 cm. A dart hits the target at a random point. Find the probability that it will hit a point in the outer (yellow) ring

Mathematics
2 answers:
Soloha48 [4]3 years ago
8 0

Answer:

0.38468

Step-by-step explanation:

To know the probability we need to know the area of the yellow zone and the area of the rest. So, the yellow circle (that contains white, red and blue circle) has a radius of 1+2+2+2=7. Then the area is

Area yellow= \pi r^{2}= \pi *7^{2}=49\pi.

But, the yellow zone is yellow circle - blue circle.

Area blue = \pi r^{2}= \pi *(1+2+2)^{2}=\pi *5^{2}=25\pi.

Then, the yellow zone will be  49\pi-25\pi=24\pi.

Area target= 14*14 = 196.

So, the probability is the yellow zone divided by the target (total area):

P = \frac{24\pi}{196}= \frac{6\pi}{49}= 0.38468.

Leni [432]3 years ago
4 0

Answer:

48.98\%

Step-by-step explanation:

we know that

The probability that it will hit a point in the outer (yellow) ring is equal to divide the area of the yellow ring by the total area of the target

step 1

Find the area of the yellow ring

A=\pi [7^{2} -5^{2}]

A=24\pi\ cm^{2}

step 2

Find the total area of the target

A=\pi [7^{2}]

A=49\pi\ cm^{2}

step 3

Find the probability

24\pi/49\pi=0.4898

Convert to percentage

0.4898*100=48.98\%

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and

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Step-by-step explanation:

The best answers would be:

m - 7.50 = 12.50

and

m = 7.50 + 12.50

First of all, let's figure out what the question is asking us:

The question is asking us to find the amount of money on the gift card

It tells us to use "m" for "the amount of money on the gift card"

Now that we know the following, we can put together the equation

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Since he receives the gift card and then buys a book that costs $7.50, we are going to "have to subtract $7.50 from m". And we know that $12.50 is remaining, so we "make the equation equal to 12.50".

So, let's set up the equation:

m - 7.50 = 12.50

Now that we know the equation, we can solve for "m"

m - 7.50 = 12.50

Step 1: Add 7.50 to both sides.

m − 7.50 7.50 = 12.50 + 7.50

Step 2: Simplify

Answer: m = 20

Another way you can set up this equation is:

m = 7.50 + 12.50

Because we want to find "m", we set it equal to the equation. Since Salim bought a book for $7.50 and had $12.50 remaining, we want to find how much he had on the gift card that made him have $12.50 remaining when he bought the book. So, we have to add 7.50 and 12.50, to find how much is on the gift card.

So, the equation "m = 7.50 + 12.50", makes sense when solving for "m"

Hint: Once you have realized that the equation has Like Terms on the same side you must Combine the Like Terms by either adding them together or subtracting them.

Now that we know the equation, let's solve it

m = 7.50 + 12.50

Step 1: Combine like terms

m = (7.50 + 12.50)

m = 20

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