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Dominik [7]
3 years ago
10

Find the volume and tell me if cavalieri's principle applies to the 2 figures. Show work

Mathematics
1 answer:
Hunter-Best [27]3 years ago
7 0

Answer:

960vol cavalieri's principle applies

Step-by-step explanation:

8x6x20 for vol

"Cavalieri's Principle. If, in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal "(Kern and Bland 1948)

both same height both equal in all ways

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All the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.<br><br><br> True or False
Gekata [30.6K]
Factors of 48 are 1,2,3,4,6,8,12,16,24,48.

True.
6 0
4 years ago
Read 2 more answers
Which of the following systems of inequalities represents the graph?
mixer [17]

Answer:

Option D.

Step-by-step explanation:

Consider the below figure attached with this question.

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is

y-0=\frac{4-0}{0-(-2)}(x-(-2))

y=2(x+2)

y=2x+4

-2x+y=4

All area above the solid line is shaded. It means the sign of inequality is ≥.

-2x+y\geq 4

From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is

y-0=\frac{2-0}{0-(2)}(x-(2))

y=-1(x-2)

y=-x+2

x+y=2

All area below the dashed line is shaded. It means the sign of inequality is <.

x+y

System of inequality is

-2x+y\geq 4

x+y

Therefore, the correct option is D.

5 0
3 years ago
Decompose 5/15 and 8/12
AnnZ [28]

Answer:

:)

Step-by-step explanation:

5/15 divided by 5 is equal to 1/3 and

8/12 divided by 2 is 4/6 divided by 2 is 2/3

You have to divide the numerator with the same number that you divide the denominator with.  

6 0
2 years ago
Calcula el RIQ de las temperaturas en las Ciudades de Kansas, Misouri las temperaturas: 23,25,28,28,32,33,35 y en Paradise, Mich
sasho [114]

Respuesta:

Kansas, Misuri = 8

Paradise, Michigan = 3

Explicación paso a paso:

El rango intercuartílico (IQR) = Q3 - Q1

Q3 = 3/4 (n + 1) th término

n = número de muestras

Q1 = 1/4 (n + 1) th término

Kansas Misuri:

23,25,28,28,32,33,35

Datos pedidos: 23, 25, 28, 28, 32, 33, 35

n = 7

Q1 = 1/4 * 8 = 2do trimestre = 25

Q3 = 3/4 * 8 = 6. ° tem = 33

Q1 = 33 - 25 = 8

Paradise, Michigan:

16,24,26,26,26,27,28

Datos pedidos: 16,24,26,26,26,27,28

Q1 = 1/4 * 8 = 2do = 24

Q3 =. 3/4 * 8 = 6to = 27

Q3 - Q1 = 27 - 24 = 3

8 0
3 years ago
The area of square LMNO is 130 square inches. Find the length of Segment LM.
lakkis [162]

Answer:

11.401754251 or the square root of 130

Step-by-step explanation:

the length squared is the area so you have to do inverse operations and do the square root

4 0
3 years ago
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