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3 years ago

Which set of three numbers could be the side lengths of a triangle?

2 answers:

6 0

For any triangle, the third side must be greater than difference of two sides and less than the sum.

Let the third side be x.

for 2, 4 x > 2, x < 6.
8 does not fit in, so 2,4, 8 can't form triangle

for 3, 5 x > 2, x < 8.
7 does fit in, so 3,5, 7 can form a <span>triangle.
</span>
Testing the others in the same, doesn't form the sides of a triangle.

So only set B 3,5,7 could be the side lengths of a triangle.

dusya [7]3 years ago

5 0

B is the answer. The sum of two triangle legs should be more than the legth of the third.

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In complete sentences, explain whether or not it makes sense to say the population density of a town is 145 people per block

tatiyna

I'm unsure as to whether or not you have the complete question posted, but I will work with what you gave.

It is possible to say that the population density of a town is 145 people per block. It can depend on how many people live in each house, if there are any vacant houses, how many houses are on each block, and if there are any apartments on the blocks. Without certain details concerning them, one can only assume, but from the details that I have it is certainly possible to have 145 people living on each block.

7 0

4 years ago

Read 2 more answers

An insurance company study shows that 9% of U. S. adults have diabetes. Suppose 8 US adults are selected at random. LetX be the

Bogdan [553]

Using the binomial distribution, it is found that:

The mean of X is of 0.72.

The standard deviation of X is of 0.81.

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability </u>of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

For this problem, the parameters are given as follows:

n = 8, p = 0.09.

Hence the mean and the standard deviation are, respectively:

E(X) = np = 8 x 0.09 = 0.72.

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{8 \times 0.09 \times 0.91} = 0.81$

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

3 0

2 years ago

Round 25,000 to the nearest ten thousand

Ede4ka [16]

Answer: 30,000

Step-by-step explanation:

Round 5 up to 10 25000 to 30000

6 0

3 years ago

Read 2 more answers

What us the midpoint of A(-8,2) and B(4,-2)

marusya05 [52]

Answer:

(-2 , 2)

Step-by-step explanation:

A(-8 , 2) = (x1 , y1)

B(4 , -2) = (x2 , y2)

midpoint = (x1 + x2/2 , y1 + y2/2)

=(-8 + 4/2 , 2-(-2)/2)

=(-4/2 , 2+2/2)

(-2 , 2)

(3 , 7) = (x1 , y1)

(9 , 2) = (x2 , y2)

distance of PQ = $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

= $\sqrt{(9 - 3)^2 + (2 - 7)^2}$

= $\sqrt{(6)^2 + (-5)^2}$

= $\sqrt{36 + 25}$

= $\sqrt{61}$

=7.8 unit

4 0

3 years ago

Sin78 ×cos42+cos78×sin42 evaluate without the use of a calculator

Novay_Z [31]

Sin a * cos b + cos a * sin b=sin (a+b)

sin 78 * cos 42 + cos 78* sin 42=sin (78+42)=sin 120=sin(180-120)=
sin 60=√3 / 2

Answer: sin 78 * cos 42 + cos 78* sin 42=<span>√3 / 2</span>

4 0

3 years ago