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leonid [27]
2 years ago
13

The perimeter of a square garden is 12 km. Find its area.​

Mathematics
2 answers:
tatyana61 [14]2 years ago
8 0

Answer:

The area of the garden is 9 km²

Step-by-step explanation:

If the garden is a square, that means that it's side length is one fourth of the total perimeter, giving us a length and width of 3km

That means that it's area is 3km × 3km, or 9km²

Lemur [1.5K]2 years ago
8 0
144 km because all sides of a square are equal and length times breadth is the area
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sdas [7]

Answer: L ≈ 2.0 m

Step-by-step explanation:

Lsin40 = h

Lsin55 = h + 0.35

Lsin55 = Lsin40 + 0.35

Lsin55 - Lsin40 = 0.35

L(sin55 - sin40) = 0.35

L = 0.35 / (sin55 - sin40)

L = 1.98452 ≈ 2.0 m

3 0
2 years ago
A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plu
Alisiya [41]

Answer: They will charge same amount for 360 minutes of calls.

Step-by-step explanation:

A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plus an additional $0.07 for each minute of calls

For what amount of calling do the two plans cost the same?

Let the each minute of calls be 'x'.

So, for plan A would be

plan A cost $9 Plus And additional 0.12 $ for each minute of calls is expressed as

y_1=9+0.12x

Plan B cost $27 plus an additional $0.07 for each minute of calls is expressed as

y_2=27+0.07x

According to question, it becomes,

y_1=y_2\\\\9+0.12x=27+0.07x\\\\0.12x-0.07x=27-9\\\\0.05x=18\\\\x=\dfrac{18}{0.05}\\\\x=360

Hence, they will charge same amount for 360 minutes of calls.

5 0
3 years ago
What is a king to a god
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Answer:

no-one God is the highest

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Three sevenths divided by five
Korvikt [17]
The answer is 0.08571428571
7 0
3 years ago
A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly
earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • A survey showed that 77% of us need correction, hence p = 0.77.
  • 13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

P(X \geq 12) = P(X = 12) + P(X = 13)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299

P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334

Then:

P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0
2 years ago
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