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2 years ago

How many triangles can be formed with angles 117°, 24°, 39°?

Mathematics

2 answers:

DENIUS [597]2 years ago

5 0

One triangle , since the measure of interior angles of triangle is 180°

8_murik_8 [283]2 years ago

5 0

interior sides of a triangle sum up to 180⁰

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A ribbon measures <br> 4.5 meters. Express this length in millimeters.

Veseljchak [2.6K]

Answer:

4500 meters.

Step-by-step explanation:

1 meter = 1000 millimeters so just do the number of meters (in this case 4.5) times 1000.

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3 years ago

Jazmine can run 4 5/6 miles in 2/3 of an hour. How many miles can she run in 1 hour?

Alona [7]

Answer: she can run $6\dfrac54$ mile sin 1 hour.

Step-by-step explanation:

Given : Distance run by Jasmine in $\dfrac23$ of an hour = $4\dfrac56\text{ miles}=\dfrac{24+5}{6}\text{ miles}$

$=\dfrac{29}{6}$ miles

Distance run by Jasmine in 1 hour = $\dfrac{29}{6}\times\dfrac{3}{2}=\dfrac{29}{4}$ miles.

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3 years ago

Given the sample 4, −2, −6, 19, 6, add one more sample value that will neither change the mean nor the variance. Round to two de

DedPeter [7]

Answer:

Cannot create sample

Step-by-step explanation:

We are given the following in the question:

4, -2, -6, 19, 6

Formula:

$\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{21}{5} = 4.2$

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8

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If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.

New sample:

4, -2, -6, 19, 6, 4.2

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Thus, the variance of new sample changes.

Thus, it is not possible to create a sample.

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3 years ago

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Luba_88 [7]

Answers: m = 8

Step-by-step explanation:

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