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lorasvet [3.4K]
2 years ago
12

What can you tell about a triangle when given three side lengths?

Mathematics
1 answer:
Genrish500 [490]2 years ago
3 0
Check whether it is possible to have a triangle with the given side lengths for example 7,9,13 then add any two sides and see if it is greater than the other side. Example the sum of 7 and 9 is 16 and 16 is greater than 13
You might be interested in
About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil
Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

7 0
3 years ago
(08.03)
Alik [6]

Answer:

Option D, (x + 2)(x - 6)

Step-by-step explanation:

<u>Step 1:  Factor </u>

x^2 - 4x - 12

x^2 - 6x + 2x - 12

(x - 6)(x + 2)

(x + 2)(x - 6)

Answer:  Option D, (x + 2)(x - 6)

8 0
3 years ago
What is the perimeter of the rectangle? one side is 6in. and the A=30 sq in.
monitta
The perimeter of a rectangle can be found by dividing the area by one side.
30/6=5
Then, add the sides up and you get the perimeter.
5+5+6+6=22

The answer is 22 inches.
3 0
3 years ago
Read 2 more answers
8=72<br> 2=6<br> 5=30<br> 9=?<br><br> what is the value of ?
zaharov [31]

Answer:

108?

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the area of the figures.
levacccp [35]

Answer:

First one: 114

Second one: 64

Step-by-step explanation:

For the first one, you can break apart the shapes to a square and a rectangle

The square is 7 x 7 (12 - 5 = 7)

The rectangle is 13 x 5

The square is 49

The rectangle is 65

Add them together

The first one is 114

For the second one you can break it apart to a triangle and a rectangle

The rectangle is 4 x 12

The triangle is 0.5 * 8 * 4   [8 is 12 - 4 (base)]

The rectangle is 48

The triangle is 16

Add them together

48 + 16 = 64

The second one is 64

6 0
2 years ago
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