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3 years ago

Is there a triangle that one side of length 4 inches , one side of length 2 inches and one side of length 1 in? Explain

Mathematics

1 answer:

rewona [7]3 years ago

3 0

According to the Triangle inequality theorem, this does not work

For a triangle to be valid, the length of any two sides added together must by greater than the length than the third side.

In this example, we can see that the side with length 1 added to the side with length 2 is equal to 3inches.

3 inches is less that 4inches (the length of the 3rd side). So that triangle does not work.

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Answer

This triangle does not work, because the sum of the lengths of any two sides of a triangle is NOT greater than the length of the third side.

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What is the value of the expression (9+15) ÷ 3+2?

Lyrx [107]

The anwser is 4.4 because you add 9+15 then add 3+2 then divied them both and thats your anwser

6 0

3 years ago

Read 2 more answers

The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta

earnstyle [38]

Answer:

The probability that none of the meals will exceed the cost covered by your company is 0.2637.

Step-by-step explanation:

A hyper-geometric distribution is used to define the probability distribution of k success in n samples drawn from a population of size N which include K success. Every draw is either a success of failure.

The random variable X = number of meals that will exceed the cost covered by the company.

The random variable X follows a hyper-geometric distribution.

The information provided is:

N = 15

K = 3

n = 5

k = 0

The probability mass function of a hyper-geometric distribution is:

$P(X=k)=\frac{{K\choose k}{N-K\choose n-k}}{{N\choose n}}$

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

$P(X=0)=\frac{{3\choose 0}{15-3\choose 5-0}}{{15\choose 5}}=\frac{1\times 792}{3003}=0.2637$

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.

3 0

3 years ago

Help the answers are CPCTC Definition of congruence SAS and SSS

julsineya [31]

SOLUTION

From the question given the following statements to prove are correct, then the last part

$\Delta RSU\cong\Delta TSV$

The reason is Side-side-side triangle theorem

This theorem states that all three sides of a triangle are congruent (identical) to the corresponding sides of another triangle, then the triangles themselves are also congruent.

Hence the answer is Side-side-side triangle theorem

3 0

1 year ago

Half of a number decreased by 27

bija089 [108]

"Half of a number decreased by 27" can be displayed as:

1/2x - 27

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3 years ago

Suppose that F is an inverse square force field below, where c is a constant.

Andre45 [30]

Answer:

Forces in our Universe

Step-by-step explanation:

First of all we have,

$F(r) = \frac{cr}{|r|^{3} }$

and,

$r = xi+yj+zk$

We need to define a function that allows us to find said change based on r, so one of the functions that shows that change is,

$f(r) = - c /|r|$

That is,

$\nabla f = F$

For this case F is a conservative field and the line integral is independent of the path. Thus, defining $P_{1} = (x_{1}, y_{1}, z_{1})$ and $P_{2} = (x_{2}, y_{2}, z_{2})$ . So the amount of work on the movement of the object from P1 to P2 is,

$W=\int\limits_c {F} \, dr$

$W= f(P_{1}-P_{2})$

$W= \frac{c}{(x_{2}^2+ y_{2}^2+ z_{2}^2)^{1/2} } -\frac{c}{(x_{1}^2+ y_{1}^2+ z_{1}^2)^{1/2}}$

$W= c(\frac{1}{d1}-\frac{1}{d2} )$

2) The gravitational force field is given by,

$F(r) =-\frac{mMGr}{ |r|^3}$

The maximum distance from the earth to the sun is $1.52*10 ^ 8$ km and the minimum distance is $1.47*10 ^ 8$ km. The mass values of the bodies are given by m = $5.97*10 ^ {24}$ kg, M = $1.99 *19 ^ {30}$ kg and the constant G is $6.67 * 10 ^{ -11 }$ $\frac{Nm ^ 2}{kg^2}$