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Papessa [141]
3 years ago
9

A 3-dimensional figure has a square base and 4 lateral faces that meet at a point. Explain the difference between the cross sect

ions when a slice is made perpendicular to the base through the vertex, and when a slice is made perpendicular to the base and not through the vertex.
Mathematics
2 answers:
blondinia [14]3 years ago
7 0

Answer:

Given is -

A 3-dimensional figure has a square base and 4 lateral faces that meet at a point. This shows that the figure is a square pyramid.

When a square pyramid is cross sectioned perpendicular to the base and through the vertex , the resulting shape will be a triangle.

When a slice is made perpendicular to the base and not through the vertex, the resulting shape will be a trapezoid.

In square pyramids and rectangular pyramids also, the cross sections formed by slicing perpendicular to the base through two opposite sides of the base but not through the vertex, will be trapezoids.

dybincka [34]3 years ago
5 0
<span>The figure is a square pyramid. A slice made perpendicular to the base and through the vertex creates a cross section with the shape of a triangle. A slice made perpendicular to the base and not through the vertex is a trapezoid.</span>
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A painter has a 24 foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet
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Answer:

The ladder can reach a height of 22.6 feet.  

Step-by-step explanation:

In order to find the height that the ladder can reach, you need to use the Pythagorean Theorem.  The Pythagorean Theorem assumes that the house to the ground will form a right triangle and the leaning ladder is the hypotenuse.  Using the formula:  a² + b² = c², we can plug in the values that we know and solve for the missing variable.  In this case we know the base of the triangle 'b' and the hypotenuse 'c':  a² + 8² = 24² or a² + 64 = 576.  To solve for a, we must first subtract 64 from both sides:  a² + 64 - 64 = 576 - 64 or a² = 512.  In order to find just the value of 'a', which represents the height, we need to take the square root of both sides:  √a² = √512 or a ≈ 22.6 feet.

4 0
3 years ago
Sara is going to home depot to buy some plants for her back yard. The price of 4 rose bushes is $12 and the price of 5 tulips is
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2 years ago
Write an equation in slope-intercept form of<br> the line that passes through (-6,4) and<br> (-1,2).
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3 years ago
This is a question from IXL. I need help! ASAP thanks
Nina [5.8K]

The image of triangle CDE after a rotation of 90º counterclockwise around the origin is graphed at the end of the answer.

<h3>What is a rotation?</h3>

When a polygon undergoes a rotation, this rotation is over an angle measure, that defines the coordinate rule for each vertex of the polygon.

For triangle CDE, the vertices are given as follows:

D(-7,-1), C(-7,-7), E(-4,-8).

The rule for a rotation of 90º counterclockwise around the origin, for each vertex (x,y) of the polygon, is given by:

(x,y) -> (-y,x).

Hence, applying the rule above, the vertices of the image of triangle CDE will be given as follows:

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The triangle, with these vertices labeled, is graphed at the end of the answer.

More can be learned about rotations at brainly.com/question/28794840

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1 year ago
Write a decimal subtraction problem that requires regrouping to solve. then solve the problem
Svetach [21]
For example, think about 8.4 - 2.9.

You have to regroup because you can't subract 4 - 9.
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Hope this helped you! If you need a better explaination or another example, I will be happy to help you! :)
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