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N76 [4]
2 years ago
7

Identify the cross section that results from slicing the three-dimensional figure.

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
4 0
<h3>Answer: C) Square </h3>

Explanation:

You have the correct answer. The blue plane is basically a knife that cuts the pyramid into two pieces. The top portion is a smaller similar pyramid (same shape, smaller size). The bottom portion is a pyramidal frustum.

Where the cut happens in the blue plane, a square forms. This square is the base of the upper pyramid and the roof of the frustum.

We can think of the blue stuff like water. Then allow that water to freeze to form a block of ice. Then carefully slide the block of ice upward and there should be a square hole in the center. So this is another way to see how we have a square cross section. The square cross section is due to the pyramid's base being a square. This means that if we had say a hexagonal base, then the cross section would be hexagonal.

All of this only applies if the cutting plane is parallel to the base of the pyramid.

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Step-by-step explanation:

This is extract from a brain teaser exercise in which sequence is formed to identify the numbers. In this brain teaser we have made combinations of different numbers which lead to the correct answer. The two correct forms of number are given which are used as a base for determining the correct answer.

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Ice cream consumption was measured over 30 four-week periods from March 18, 1951 to July 11, 1953. The purpose of the study was
natka813 [3]

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7 0
2 years ago
A pyramid has a surface area of 539 ft.² what is the surface area of a similar pyramid that is smaller by a scale Factor of 1/7
Nataly [62]

Answer:

77 ft²

Step-by-step explanation:

Given that:

Surface Area of larger pyramid = 539 ft²

Scale factor of the smaller pyramid = 1/7

Tbe surface area of the smaller pyramid will be :

Scale factor * surface area

1/7 * 539ft²

= 539 ft² / 7

= 77 ft²

5 0
3 years ago
Given: ABCD is a trapezoid, m∠1=m∠2, m∠3=m∠4, AB = CD, AC ∩ BD = O <br> Prove: m∠AOD = m∠BCD
LiRa [457]
Since AB = CD the trapezoid is isosceles, which means that ∡A = ∡D

Therefore also ∡2 = ∡3 (they are half of the congruent angles)

For the properties of parallel lines (BD and AD) crossed by a transversal (BD) we have ∡3 = ∡CBD.

Now consider triangles AOD and BCD:
∡OAD (2) = ∡ADO (3) = ∡CBD (3) = ∡CDB (4)

T<span>he sum of the angles of a triangle must be 180°, t</span>herefore:
∡AOD = 180 - ∡2 - ∡3
∡BCD = 180 - ∡3 - ∡4

∡AOD = ∡BCD because their measure is the difference of congruent angles.

6 0
3 years ago
It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impa
horsena [70]
We
let r be the rate in parts per minute at which the lawn sprinkler would fill the pool if use alone then

If the handheld hose and the lawn sprinkler are used together, we have this equation:
5/r + 5/8 = 1

Simplifying this expression,
5(8) + 5r = 1
5 0
3 years ago
Read 2 more answers
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