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sukhopar [10]
3 years ago
7

Which of these geometric figures can intersect to form a cross section? Check all that apply. 1.a line and a prism 2.a line and

a rectangle 3.a point and a prism 4.a prism and a horizontal plane 5.a vertical plane and a pyramid        Check all that apply

Mathematics
2 answers:
stira [4]3 years ago
6 0

Answer:

4 and 5

Step-by-step explanation:

LiRa [457]3 years ago
5 0
<span>A cross section is formed by the <em>intersection</em> of a<em> three-dimensional object</em> and a <em>plane.</em>

So the right answers are 4 and 5.

Let's explain each case.

First. A prism and a horizontal plane

The representation of this statement is shown in Figure 1. A prism has the following characteristics:

1. These objects have identical ends.
2. They have flat faces.
3. They have </span><span>the same </span>cross section<span> all along its length </span><span>

So in the figure, you can see how the horizontal plane intersects the prism. <em>The cross section</em> of this object <em>is a</em> <em>triangle</em>. Thus, </span><span>it has the same cross section all along its length and this object is called <em>a triangular prism.</em></span><span>

Second. A vertical plane and a pyramid

As shown in Figure 2 you can see the representation of this statement. </span><span>If the pyramid is cut with a plane that passes through the top vertex and it is perpendicular to the base, then the intersection of this pyramid and the plane becomes a <em>triangular cross section</em>.</span>

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Arlecino [84]

Answer:

In the most popular abroad country: 29,255 students

In the second-most one: 20,872 students

Step-by-step explanation:

Let's write the situation in an equation to help us solve this. X represents the amount of students in the second most popular country. So we know that in total, there's 50,127 students so let's make an equation that equals this. ???????=50,127. As we know, the most popular country has 8383 more students than the second one so we can write it as x+8383 and for the second most popular country, we can write it as x. We know that both of the countries students combined equal 50,127 students so we have our equation. (x)+(x+8383)=50,127 students. After solving the equation, you get x=20, 872. As we know x=the amount of students in the second most popular country which means there's 20,872 students in the second one. Additionally, for the first most popular one, the equation for the amount of students in it is x+8383 so..... 20,872+8383=Total number of students in the most popular one which is 29,255 students.

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3 years ago
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