State whether the given scale factor would "enlarge", "reduce" or preserve" the size of a figure.

Mathematics

1 answer:

My name is Ann [436]3 years ago

4 0

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What is the irrational number in This set: 12.89, square root of 12 and 12/144 ?

kifflom [539]

Good night,

Irrational numbers are those that can't be expressed as a fraction:

12.89 can be expressed as: $\frac{1289}{100}$

$\frac{12}{144}= \frac{1}{12}$

The above numbers can be expressed as a fraction, then the logical answer is: $\sqrt{12}$

But we will check the answer:

$\sqrt{12}= \sqrt{2^{2}*3 } =2* \sqrt{3} =3.4641016...$

As you can see we can't express that number as a fraction, so that is te correct answer.

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3 years ago

Simplyfy 3^0+4x2-5Captionless Image

larisa [96]

Answer: 4x² -4

Step-by-step explanation:

First, evaluate the exponent you'll get, $3^{0}$ + 4x² -5 then evaluate to get, 1+ 4x² -5. Next, subtract the numbers, 1 + 4x² -5 then to get, -4 +4x². Lastly, rearrange the terms, -4 +4x² turns into, 4x² -4!

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3 years ago

An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of the rectangul

valentina_108 [34]

Answer:

Part a) Rectangle

Part b) Triangle

Step-by-step explanation:

The picture of the question in the attached figure N 1

Part A) A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section?

we know that

When a geometric plane slices any right pyramid so that the cut is parallel to the plane of the base, the cross section will have the same shape (but not the same size) as the base, So, in the case of a right rectangular pyramid, the cross section is a rectangle

Part b) If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section?

we know that

Cross sections perpendicular to the base and through the vertex will be triangles

see the attached figure N 2 to better understand the problem