All categories

3 years ago

Which set could represent the side lengths of a triangle?

Mathematics

2 answers:

Doss [256]3 years ago

6 0

So, the sum of two sides have to be greater than the third side for it to create a triangle.

Option A:

4 + 6 = 10

The first 2 sides aren't greater than the third side so, this is incorrect.

Option B:

4 + 5 = 9

The first 2 sides aren't greater than the third side so, this incorrect.

Option C:

5 + 6 = 11

The first 2 sides aren't greater than the third side so, this incorrect.

Option D:

5 + 5 = 10

The first 2 sides are greater than the third side so, this correct.

Therefore, the answer is Option D.

Best of Luck!

iogann1982 [59]3 years ago

5 0

The last one is correct

You might be interested in

Five million bacteria live in an organism. The doubling period is 1.5 hours. How many will there be after:

finlep [7]

We write the generic exponential equation:
y = A (b) ^ t
Where,
A: initial population
B: growth rate
t: time in hours.
Substituting values we have:
y = 5 (2) ^ ((1 / 1.5) * t)
For t = 9 hours we have:
y = 5 (2) ^ ((1 / 1.5) * 9)
y = 320 million
For t = 24 hours (one day) we have:
y = 5 (2) ^ ((1 / 1.5) * 24)
y = 327680 million
For t = 2 hours we have:
y = 5 (2) ^ ((1 / 1.5) * 2)
y = 12.5992105 million
Answer:
a) t hours?
y = 5 (2) ^ ((1 / 1.5) * t)
b) 9 hours?
y = 320 million
c) 1 day?
y = 327680 million
d) 2 hours?
y = 12.5992105 million

8 0

3 years ago

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let AAA be the event that the six-sided d

sammy [17]

The question is incomplete. Here is the complete question.

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.

What is P(A), the probabillity that the six-sided die is an even number?

What is P(B), the probability of the four-sided die is an odd number?

What is P(A and B), the probability that the six-sided die is an even number and the four-sided die is an odd number?

Are events A and B independent?

a) Yes, events A and B are independent events.

b) No, events A and B are not independent events.

Answer: P(A) = 1/2

P(B) = 1/2

P(A and B) = 1/4

a) Yes, events A and B are independent events.

Step-by-step explanation: The event A is related to a six-sided die, so total possibilities is 6.

For a six-sided die to show a even number, there are 3 possibilities: (2,4,6)

so, P(A) = 3/6 = 1/2

The event B is for a 4-sided die, i.e. total possibilities is 4.

To show an odd number, there are 2 possibilities: (1,3).

Then, P(B) = 2/4 = 1/2

Now, the probability of occuring A and B is:

P(A and B) = P(A).P(B)

P(A and B) = 1/2*1/2

P(A and B) = 1/4

The events are independent events because the probability of A happening does not influence the occuring of event B.

5 0

3 years ago

A softball coach has ordered softballs for two different leagues. The Junior League uses

dedylja [7]

The number of 11-inch softball is 70 and the number of 12-inch softball is 50.

Step-by-step explanation:

Given that,

The cost of 11-inch softball = $2.50
The cost of 12-inch softball = $3.50

Let us assume,

The number of 11-inch softball be 'x'.
The number of 12-inch softball be 'y'.

Forming the equation to solve x and y values :

The total number of softball ordered = 120
The total cost for 120 softballs = $350

x + y = 120 -------(1)

2.5x + 3.5y = 350 --------(2)

Multiply eq(1) by 2.5 and subtract eq(2) from eq(1),

2.5x +2.5y = 300

-(2.5x +3.5y = 350)

-1y = -50

Therefore the value of y = 50.

The number of 12-inch softball is 50.

Substitute y=50 in eq(1),

x+50 = 120

x = 120-50

x = 70

The number of 11-inch softball is 70.

5 0

3 years ago

Click to correct any capitalization errors.

Naddika [18.5K]

Answer:

Step-by-step explanation:

Quidnet Beach in Massachusetts offers fantastic views of Sankaty Head Light, a lighthouse that overlooks the Atlantic Ocean.

5 0

3 years ago

A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 14 pa

UkoKoshka [18]

Answer:

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.

Each minute has 60 seconds, so $\mu = \frac{14}{60} = 0.2333$