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Anvisha [2.4K]
2 years ago
9

If a rotation takes triangle CAT to C’A’T, what is CT?

Mathematics
1 answer:
anzhelika [568]2 years ago
4 0

The length of the side CT in the image is √17, and the transformation is a rotation transformation, therefore length of C'T' os √17

<h3>How can the length of C'T' be found?</h3>

From the given diagram of the triangle, we have;

Pre-image = ∆CAT

AC = √3

AT = √10

CT = √17

Type of transformation = Rotation transformation

Image = ∆C'A'T'

A rotation transformation is a form of rigid transformation, in which the lengths of the sides of the pre-image are preserved therefore;

Length of the sides of ∆CAT = Length of the sides of ∆C'A'T

AC = A'C' = √3

AT = A'T' = √10

CT = C'T' = √17

Therefore;

  • C'T' = √17

Learn more about rigid transformations here:

brainly.com/question/2222755

#SPJ1

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Answer:

The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.

Step-by-step explanation:

Let <em>X</em> represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.

It is provided that <em>X</em> follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.

Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.

That is,

P (<em>X</em>) = 0.0122

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Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:

E (<em>X</em>) = n × P (<em>X</em>)

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        = 915000

Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.

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