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DaniilM [7]
2 years ago
13

Classify the following triangle. Check all that apply.

Mathematics
1 answer:
tangare [24]2 years ago
7 0

Answer:

A.iscoseles

b.obtuse

c.acute

Step-by-step explanation:

iscoseles 2 sides equal ome side not

obtuse an angle greater tha 90degree

acute angle less rhan 90degree

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Two pentagons are similar. the area of one of the Pentagon is 9 times that the other. determine the ratio of the length of the c
kolbaska11 [484]
<h2><u><em>Answer:</em></u></h2><h2><u><em></em></u></h2><h2><u><em>The ratios of the lengths of the corresponding  sides of the two pentagons is 3:1</em></u></h2><h2><u><em></em></u></h2><h2><u><em>The ratios of the perimeters of the two pentagons is 3:1</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Step-by-step explanation:</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Let the first pentagon be X and the second pentagon be Y.</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Ratio of area of the two pentagons is </em></u></h2><h2><u><em>9</em></u></h2><h2><u><em>Ratio of sides of the pentagon is equal to</em></u></h2><h2><u><em></em></u></h2><h2><u><em>3</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Ratio of perimeters is equal to ration of sides</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Hence,</em></u></h2><h2><u><em>The ratio of the perimeter is 3 as well</em></u></h2>

<u><em></em></u>

<em></em>

7 0
2 years ago
Find the length of side a.<br> 15<br> 9<br> O A. 6<br> B. V 306<br> C. 12<br> D. 144
Leni [432]

Answer:

12

Step-by-step explanation:

A² + B² = C²

9² + B² = 15²

81 + B² = 225

B² = 144

B = 12

8 0
2 years ago
Read 2 more answers
In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
aalyn [17]

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2

8 0
3 years ago
According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries
blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

5.1% of burglaries are cleared with arrests.

This means that p = 0.051

A new detective is assigned to six different burglaries.

This means that n = 6

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1)

Then

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695

26.95% probability that at least one of them is cleared with an arrest

8 0
2 years ago
Assume that two fair dice are rolled. First compute P(F) and then P(FIE). Explain why one would expect the
saveliy_v [14]

The probability that a three shows on at least one of the dice is 11/36.

<h3>How to calculate the probability?</h3>

It should be noted that of probability means the likelihood of the occurence of an event.

The probability that a three shows on at least one of the dice will be:

= 11/36

This can be seen from the table that is attached.

The probability that the total is less than 8 will be:

= 21/36

= 7/12

Here, there are 21 places where the total is less than 8.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

5 0
2 years ago
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