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3 years ago

How many triangles can be constructed using the following three side lengths: 4.8 cm, 2.1 cm, and 2.6 cm?

Mathematics

1 answer:

Colt1911 [192]3 years ago

5 0

Answer: No triangle

Step-by-step explanation:

The given dimensions of triangle : 4.8 cm, 2.1 cm, and 2.6 cm

The famous triangle inequality says that in any triangle the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

But $2.1+2.6=4.7$

It means the sum of two sides (2.1 and 2.6) is less than the third side (4.8).

Therefore by triangle inequality, no triangle can be possible by the given measurement.

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Which two ordered pairs would represent points on a graph of 5x + 6y = 12?

skelet666 [1.2K]

B. (0,2) and D. (6,-3)

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4 years ago

Simplify, 3xsqrt-75a

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3 years ago

-5+4=3x-9 <br> My teacher told me it was negative three.. can someone help?

Alexxx [7]

Answer:

x = 8/3

Step-by-step explanation:

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4 0

3 years ago

A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to

melisa1 [442]

Answer:

Mean = 1.42

Variance = 0.58

Step-by-step explanation:

Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.

Also, joint probability function of X and Y are given.

To find:

mean and variance of X

Solution:

From the given joint probability function of X and Y,

$P(X=0)=\frac{1}{6}\\P(X=1)=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}\\P(X=2)=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}=\frac{1+4+2}{12}=\frac{7}{12}$

Mean of X:

$E(X)=\sum XP(X)\\=0\left ( \frac{1}{6} \right )+1\left ( \frac{3}{12} \right )+2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{14}{12}\\=\frac{17}{12}=1.42$

Variance of X:

$E(X^2)=\sum X^2P(X)\\=0^2\left ( \frac{1}{6} \right )+1^2\left ( \frac{3}{12} \right )+2^2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{28}{12}\\=\frac{31}{12}$

$var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58$

5 0

4 years ago

6= 1/2z<br> just saying 1/2 equals one half

Fynjy0 [20]

Answer:

z=12

Step-by-step explanation:

6*2=12

z=12

7 0

3 years ago