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max2010maxim [7]
3 years ago
7

The vertices of a triangle are A(4, 1), B(9, 1), C(2, 5). What is the area of this triangle.

Mathematics
2 answers:
Tpy6a [65]3 years ago
8 0

Answer:

It's actually 10 units squared.

Step-by-step explanation:

Follow the instructions of the other guy, they did it right, just forgot to divide by 2 at the end.

kiruha [24]3 years ago
6 0

Hey there!

\large\boxed{10u^2}

Formula for the area of a triangle is (1/2)bh.

Base of this triangle is 5, height is 4.

Image attached.

Plug values into the formula:

A = (1/2)(5)(4)

Simplify.

A = (1/2)(20)

A = 10

Area of the triangle is 10 units².

Hope this helps!

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Mamont248 [21]

Answer:

4 14/15

Step-by-step explanation:

8 3/5 - 11/3

8 9/15 - 55/15

8 9/15 - 3 10/15

7 24/15 - 3 10/15

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6 0
3 years ago
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

5 0
3 years ago
The shadow of a tower is equal to its height at 10.45 a.m. The sun’s altitude is​
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Incomplete question.  

3 0
3 years ago
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Korolek [52]

Answer:

1 \frac{11}{12}

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23/12 as a mixed number is 1 11/12.

The answer is 1 11/12. Hope it helps!

5 0
3 years ago
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What is the perimeter of rhombus STAR
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Answer:

160 cm

Step-by-step explanation:

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