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shtirl [24]
3 years ago
10

In a survey four out of seven people named blue as their favorite color. One out of three

Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Answer:

The answer is on the picture.

Step-by-step explanation:

The answer is on the picture.

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The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid
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Answer:

6 x^2*\sqrt{3}

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: \frac{base*height}{2} = \frac{2x*height}{2}

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures x\sqrt{3}, so replacing this value in the formula above for the area of one of the triangles:

\frac{2x*height}{2}= \frac{2x*x\sqrt{3} }{2}=x^2\sqrt{3}

Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):

Area of hexagon = 6x^2\sqrt{3}

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From this year to ten years later, the number of people employed as a physician assistants in the country is expected to increas
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Step-by-step explanation:

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There are 2.20462 pounds in a kilogram
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Please help!!! keep in mind this is a REVIEW question. Which of the following is NOT a congruence transformation? A. a dilation
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Answer:

Hey there!

A congruence transformation maintains the size of the shape.

Thus, a dilation with scale factor 2 is not a congruence transformation.

Let me know if this helps :)

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