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Nutka1998 [239]
3 years ago
15

A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What Statement

must be true about the two solids?

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0
Check the picture.

The bases of the 2 prisms are on 2 parallel planes, a and b.

Let c be a third plane, between a and b, parallel to both.

Then, 

 the cross-sections A and B , of the 2 prisms, formed by plane c, have Equal Areas,

this is by Cavalier's Principle.

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Thirty Mercedes and Audi participated in a 30 mile race. The average driving speed of the Mercedes and Audi were recorded. A ran
vladimir1956 [14]

Answer:

Median for sample 1 = 142

Median for sample 2 = 134

Step-by-step explanation:

For Sample 1:

For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.

120, 130, 132, 136, 139, 142, 142, 144, 156, 165, 167

The formula for calculating the term which will be median is:

Median= ((n+1)/2)

Here in sample 1, n=11

So, putting n=11 in the formula

= ((11+1)/2)

= (12/2)

=6th term

The sixth term is 142, so

Median of sample 1=142

For Sample 2:

For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.

112, 112, 113, 114, 125, 134, 141, 145, 146, 163, 165

The formula for calculating the term which will be median is:

Median= ((n+1)/2)

Here in sample 2, n=11

So, putting n=11 in the formula

=((11+1)/2)

=(12/2)

=6th term

The sixth term is 134, so

Median of sample 2=134

7 0
3 years ago
A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th
masya89 [10]

The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

Learn more about volumes of solids at

brainly.com/question/14565712

#SPJ4

3 0
1 year ago
What is the area of this circle? (Express your answer using π.)<br> (Note: The diameter is 6 m.)
Irina-Kira [14]


TT = 3.14


The answer is 37.68 if TT is 3.14

8 0
3 years ago
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A submarine dives below the surface, heading downward in two moves. If each move downward was 355 feet, where is the submarine a
madam [21]

Answer: The submarine would be 710 feet below the surface after it is finished diving.

Step-by-step explanation:

Given: Each move downward was of 355 feet

If the submarine dives below the surface, heading downward in two moves.

Then, the total distance moved by submarine = 2 (355) feet

= 710 feet

Therefore, the submarine would be 710 feet below the surface after it is finished diving.

4 0
3 years ago
A battery is charged The percentage of the battery that is charged as a fiction of time (in minutes) is graphed. At what rate is
Marat540 [252]

Answer:

the battery rate is 6.5

Step-by-step explanation:

6 0
3 years ago
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