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balandron [24]
3 years ago
10

A 12 ft. rope is attached to the wall of a garage. A dog’s collar is attached to the end of the rope to allow him to safely stay

outside. What is the area of the space the dog will have access to outside?
Mathematics
1 answer:
Zolol [24]3 years ago
3 0

Since it's a wall, I'm guessing it will only have access to half the circle? Therefore:

<em>Circle area formula: </em>πr²

<em>Radius:</em> 12/2 = 6ft

<em>Our case:</em>

(π * 6²)/2 =

36π/2 =

18π = 56.55ft²

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X-9= 1/4x + (1/4x + 12) + (1/4x - 3) what’s that answer?
konstantin123 [22]

Answer:

x = 72

Step-by-step explanation:

Make the problem simpler by eliminating the fractional coefficients:

x-9= 1/4x + (1/4x + 12) + (1/4x - 3), when multiplied by 4, becomes:

4x - 36 = x + x + 48 + x - 12

Summing up all the x terms, we get:

4x - 2x - x = 48 - 12 + 36

Then x = 72

7 0
3 years ago
Suppose you are repeating a classic study of starfish and their impact on the ecosystems of tide pools. Using historic data coll
Travka [436]

Answer:

The probability of the number of starfish dropping below 3 is 0.0463.

Step-by-step explanation:

Let X represent the number of starfish in the tide pool.

X follows a Poisson distribution with mean 6.4.

The formula for Poisson distribution is as follows.

P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...

P(X = x) = 0 otherwise

We need to find the probability that the number of starfish in the tide pool drops below 3.

Therefore, the required probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)

P(X < 3) = e^{-6.4} + (e^{-6.4}*6.4) + (e^{-6.4}*6.4^{2}/2)

P(X < 3) = 0.00166 + 0.01063 + 0.03403

P (X < 3) = 0.0463

4 0
3 years ago
How would you solve this?
tangare [24]

Answer:

The area of the black square is equal to the sum of the areas of the gray squares.

6 0
3 years ago
Read 2 more answers
I got stuck here on this question... this is Algebra 2 btw
svetlana [45]

I don’t think this is algebra 2 but ok

37

I used the formula (32°F − 32) × 5/9 = 0°C (but ofc replaced the numbers with 99)

Yeah and i rounded 98.6 to 99. 99 Fahrenheit is 37.2222... so i rounded it down to 37. So i think the answer is 37.

3 0
3 years ago
Beth has a bag of apples.She gives 6 apples to Natasha.Now she has 7 left.How many apples were in the bag at first?
vlabodo [156]
15 from calculations
3 0
2 years ago
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