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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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Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold.
lutik1710 [3]

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

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algol13

Answer:

Step-by-step explanation:

(0,0)A baker doesn't use any cups of flour so he can't make any cookies

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