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3 years ago

Can you make a obtuse triangle into a rectangle

1 answer:

7 0

Well,

If you can do anything to an obtuse triangle, you could add a side and make all the angles right angles.

If all you can do is alter the angles, you will not be able to do that because you will still have a triangle with three sides.

If all you can do is alter the number of sides, you will still not be able to do that because you will have some type of quadrilateral, not a rectangle.

In essence, you must be able to both change the angles and the number of sides in order to make any triangle a rectangle.

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There are 15 red, 10 green and 9 white balls in the dark room. Jack wants to take a minimal number of balls such that at least 8

agasfer [191]

<h3>Answer: 24</h3>

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Explanation:

If Jack were to get really lucky and draw either

* 8 red balls in a row

* 8 green balls in a row, or,

* 8 white balls in a row

then the answer would be 8. However, this event of drawing the same color ball 8 times in a row is fairly unlikely. What is more likely is that there will be multiple colors involved (because we have roughly the same number for each color mors or less). So consider the scenario in the next section below.

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If Jack were to draw a red ball first, then a green ball second, and then a white ball third, then so far has selected 3 balls from the drawer. None of the colors match up. This is leading to the worst case scenario in terms of the number of balls to select. In other words, Jack is really unlucky to not get any colors match up so far. When aiming for a guarantee like this, it is wise to think of the worst case scenario.

If we repeat the pattern (red, green, white) then so far we have 2 balls of each color. In total we have selected 6 overall. Note how 3*2 = 6.

Repeat this a third time, then we'll select 9 balls total (3*3 = 9)

The fourth iteration of this pattern has 3*4 = 12 balls overall picked out, and so on.

If we continue the pattern, then we'll see that we will need to select 3*8 = 24 balls to guarantee that we have at least 8 of the same color (eg: 8 red balls). Chances are that we'll have 8 of the same color before we hit the 24 ball mark, but we wont have a 100% guarantee of such. Reaching 24 balls is the only way to guarantee the claim is true.

So to summarize: I pictured the worst case scenario (red,green,white) and extended out the pattern so that it led to 24 as the final answer.

4 0

3 years ago

Read 2 more answers

PLZ HELP ME! NEED THE ANSWER AS SOON AS POSSIBLE! WILL REWARD THE BRAINLIEST: The table below shows the distance y, in miles, tr

Levart [38]

You are given a set of data regarding the truck with the <span>distance y, in miles, traveled by a truck in x hours:
Time (x) (hours) 1 2 3 4
Distance (y) (miles) 50 100 150 200

I used excel to plot this data and get an equation and the value of r to anwer the following questions.

Part A: The most likely value of the correlation coefficient of the data in the graph is 1, meaning that the distance travelled by the truck and the time it takes to travel is directly related or directly proportional.

Part B: From the graph, i got an equation y = 50x with a slope of 50.

Part C: The table presented above is a correlation because both variables are directly related and forms a straight line rising to the right.</span>

8 0

3 years ago

In a math class with 28 students, a test was given the same day that an assignment

Kipish [7]

Answer:

Probability that a student who passed the test did not complete the homework = 0.07

Step-by-step explanation:

Given:

Total number of students = 28

Number of students who passed the test = 18

Number of students who completed the assignment = 23

Number of students who passed the test and also completed the assignment = 16

To find: probability that a student who passed the test did not complete the homework

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favorable outcomes/total number of outcomes

Let A denotes the event that students passed the test and B denotes the event that students completed the assignment

P(A only) = $P(A)-P(A\cap B)$

Here,

$P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}$

So,

$P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07$

Therefore,

probability that a student who passed the test did not complete the homework = 0.07

7 0

3 years ago

I need some help lol

andrew-mc [135]

A veriable = 1, use it as with pemdas

5 0

3 years ago

Congruent or not congruent?

sergeinik [125]

Answer:

Congruent

Step-by-step explanation:

Hope that helps!

8 0

3 years ago

Read 2 more answers