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3 years ago

Write three lengths that cannot be the lengths of the three sides of a triangle. Explain your answer

1 answer:

3 0

As you can see in the picture below, it's not possible to create a triangle that has side lengths of 4, 8, and 3

triangle inequality theorem, impossible triangle
It turns out that there are some rules about the side lengths of triangles. You can't just make up 3 random numbers and have a triangle! You could end up with 3 lines like those pictured above that cannot be connected to form a triangle.

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3 years ago

Prove that 2^n>n+4 for n>or =3

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How many decimeters are in 3.5 dekameters? Use the metric table to help answer the question.

Ivahew [28]

350 decimeters are there in 3.5 decameter

<em><u>Solution:</u></em>

We have to find the decimeters in 3.5 decameters

<em><u>Use the metric table:</u></em>

1 kilometre (km) = 10 Hectometres (hm) = 1000 m

1 Hectometre (hm) = 10 Decametres (dcm) = 100 m

1 Decametre (dcm) = 10 Metres (m)

1 Metre (m) = 10 Decimetres (dm) = 100 cm = 1000 mm

1 Decimetre (dm) = 10 Centimetres (cm)

1 decimeter = 0.1 meter

1 Centimetre (cm) = 10 Millimetres (mm)

1 centimeter = 0.01 meter

1 millimeter = 0.001 meter

From above metric table, we find that

100 decimeter = 1 decameter

Then, convert 3.5 decameter to decimeter

100 x 3.5 decimeter = 3.5 x 1 decameter

350 decimeter = 3.5 decameter

Thus 350 decimeters are there in 3.5 decameter

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3 years ago

A scientist who studies sleep has developed a new technique to help people sleep each night. He

Andru [333]

Considering the situation described, the scientist's null and alternative hypothesis are described by:

Null hypothesis $H_0: \mu = 0$ ; Alternative hypothesis $H_1: \mu \neq 0$ .

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by $\mu$ is of 0, hence:

$H_0: \mu = 0$

At the alternative hypothesis, it is tested if there is a difference, hence:

$H_1: \mu \neq 0$

More can be learned about an hypothesis test at brainly.com/question/26454209

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2 years ago