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Hunter-Best [27]
3 years ago
12

the perimeter of a scalene triangle is 14.5 cm. the longest side is twice that of the shortest side. which equation can be used

to find side lengths of the longest side measures 6.2 cm?
Mathematics
2 answers:
madreJ [45]3 years ago
5 0
Let a = longest side      <em> (Establishing labels)</em>
let b = shortest side
let c = third side

P = 14.5                <em>     (Given)</em>
a = 6.2
b = 1/2(a)

P = a + b + c
P = 6.2 + 3.1 + c        <em>(Fill in given info in equation)</em>

P = 9.3 + c                <em>(Simplify)</em>

14.5 = 9.3 + c           <em>(Simplify)</em>

c = 14.5 - 9.3           <em>(Solve)</em>
c = 5.2

Hope this made sense!
Elan Coil [88]3 years ago
5 0

Answer:

the answer is b. 9.3+b=14.5

Step-by-step explanation:

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Answer:

3.14     (or pi )  feet  

Step-by-step explanation:

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9. What's the least common multiple (LCM) of 2, 6, and 8?
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Answer:

24

Step-by-step explanation:

The LCM or least common multiple of these numbers is 24

To get 24, you list all the multiple of these numbers until they all share at least one

So

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, <u>24</u>

6, 12, 18, <u>24</u>

8, 16, <u>24</u>

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Hope this helps

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Read 2 more answers
The Census Bureau's Current Population Survey shows that 28% of individuals, ages 25 and older, have completed four years of col
gizmo_the_mogwai [7]

Answer:

19.35% probability that five will have completed four years of college

Step-by-step explanation:

For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So the binomial probability distribution is used 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.

28% of individuals

This means that p = 0.25

For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?

This is P(X = 5) when n = 15. So

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

P(X = 5) = C_{15,5}.(0.28)^{5}.(0.72)^{10} = 0.1935

19.35% probability that five will have completed four years of college

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