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4 years ago

How many triangles can be constructed with sides measuring 1 m, 2 m, and 2 m?

2 answers:

8 0

Answer: B
Explanation: ONE triangle can be formed.
According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.
Here, the sides are 1 m, 2 m, and 2m. 1m + 2m = 3m > 2m (theorem followed) 2m + 2m = 4m > 1m (theorem followed)
Since, the triangle inequality theorem is followed, Hence, ONE triangle can be formed.

kkurt [141]4 years ago

8 0

The answer to your miraculous question is A

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The letters from the word “integer” are placed on cards and put in a hat. If someone picks 1 card out of the hat, how many diffe

vesna_86 [32]

The possible different outcomes are: c. 6 outcomes.
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3 years ago

In a recent poll, 230 people were asked if they liked dogs, and 90% said they did. Find the margin of error of this poll, at the

pychu [463]

The margin of error of this poll is

Given that 230 people were asked if they liked dogs, and 90% said they did.

In a random sample, a margin of error is a statistical measure that takes into account the discrepancy between actual and expected results.

Sample size (N)=230

Sample proportion $(\hat{p})$ = 90% = 0.90 and

confidence interval = 99%

The critical value at 99% confidence interval with α=0.01 is

$\begin{aligned}Z_{c}&=Z_{1-\frac{\alpha}{2}}\\ &=Z_{1-\frac{0.01}{2}}\\ &=Z_{0.995}\\ &=2.576\end$

This value is taken from the Standard normal distribution table.

Now, we will calculate the margin of error (E) by using the formula

$E=Z_{c}\sqrt{\frac{\hat{p}(1-\hat{p})}{N}}$

Substituting the values in the formula, we get

$\begin{aligned}E &=2.576\times \sqrt{\frac{0.90(1-0.90)}{230}}\\ &=2.576\times \sqrt{\frac{0.09}{230}}\\ &=2.576\times\sqrt{0.00039}\\ &=2.576\times 0.0197\\ &=0.0507\end$

Hence, the margin of error when 230 people were asked if they liked dogs, and 90% said they did is 0.0507.

Learn more about margin of error from here brainly.com/question/25779324

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4 0

2 years ago

Can someone help me out with these equations?<br> 1. (5+ √3)^2<br> 2. (√6-5√3)^2<br> 3. (6+3√2)^2

Aloiza [94]

9514 1404 393

Answer:

28 +10√3
81 -30√2
54 +36√2

Step-by-step explanation:

It is useful to remember the form for the square of a binomial.

(a +b)² = a² +2ab +b²

(a -b)² = a² -2ab +b²

1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3

= 28 +10√3

2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75

= 81 -30√2

3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18

= 54 +36√2

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3 years ago

A pet store has 24 Tiger fish and 3 aquariums. Each aquarium has the same number of fish. How many tiger fish are in each aquari

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There are 8 fishes in each tank
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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago