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Diano4ka-milaya [45]
3 years ago
8

He cross-sectional areas of a right pyramid and a right cylinder are congruent. The right pyramid has a height of 5 units, and t

he right cylinder has a height of 5 units. Which conclusion can be made from the given information?
The volume of the pyramid is half the volume of the cylinder.
The volume of the pyramid is twice the volume of the cylinder.
The volume of the pyramid is equal to the volume of the cylinder.
The volume of the pyramid is not equal to the volume of the cylinder.
Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

Answer:

The volume of the pyramid is not equal to the volume of the cylinder.

Step-by-step explanation:

A right cylinder has the circular cross-sectional area and if the cross-sectional areas of a right pyramid and a right cylinder are the same then the pyramid must be a right circular cone.

Now, the volume of a right cylinder is πr²h and that of a right circular cone is 1/3 πr²h.

Therefore, the radius of the base of the cone and that of the cylinder is the same and their heights are equal to be 5 units, then the volume of the pyramid is not equal to the volume of the cylinder. (Answer)

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Answer:

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Step-by-step explanation:

5 0
3 years ago
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Find the measure of angle E
Bad White [126]

Answer:

E = 76°

Step-by-step explanation:

Exterior angle B = 116°

So ABC = 180° - 116°

= 64°

In triangle ABC , AC = BC ( given )

So angle BAC = angle ABC = 64° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

BAC + ABC + ACB = 180°

=> ACB + 64° + 64° = 180°

=> ACB = 180° - 128°

= 52°

Also , angle ACB = angle ECD = 52° ( Vertical Opposite Angles are equal )

In triangle ECD ,

EC = ED ( given )

So, angle ECD = angle EDC = 52° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

ECD + EDC + CED = 180°

=> 52° + 52° + CED = 180°

=> CED = 180° - 104°

= 76°

5 0
3 years ago
How do you solve this?
GrogVix [38]
96+24^6+9
105+24^6
=163.78775
8 0
4 years ago
Is there enough information shown on the triangles to say that the
Harlamova29_29 [7]

Answer: (D) No. The corresponding pairs of sides must also be marked  congruent to determine that the triangles are congruent.

==================================================

Explanation:

The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.

Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.

The list of congruent theorems is

  • SSS
  • ASA
  • AAS (or SAA)
  • SAS
  • HL
  • LL

Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.

------------

So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.

7 0
3 years ago
A survey of all beings on the planet mimstoon found that 10 beings preferred lirt juice to all other juices If 25 beings are sur
kherson [118]

Answer:

The percentage of the surveyed that preferred Lirt juice is 40%

Step-by-step explanation:

In this question, we are asked to calculate the percentage of beings that preferred Lirt juice

Let’s look at the survey presented in the question. 10 beings preferred out of a total of 25

The percentage that preferred Lirt juice will thus be;

10/25 * 100%

= 10 * 4 = 40%

4 0
3 years ago
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