Erik states that the two cones below have the same volume because of Cavalieri’s principle. 2 cones are shown. The first cone has a radius of r, a slant length of c, and a height of b. The second cone has a radius of r, a height of a, and a slant length of b. Is Erik’s statement correct? Why or why not? Yes, the solids are both cones and appear to have the same volumes. Yes, the area of the bases and the heights of the cones are the same, so the volumes are equal. No, the heights of the cones are not the same, so Cavalieri’s principle does not apply.

Answer:

7 buses. 52÷ 8 = 6.5 so rounding up to 7

Answer:3.2

Step-by-step explanation:

3.2 because x =16/5=3 1/5=3.2

The values less than 4 or greater than 14 cannot be the length of the third side

From the question, we have the following parameters that can be used in our computation:

Side lengths of 9 and 5.

Represent the third length of the triangle with x

So, we have the following representation (using the triangle inequality theorem)

a + b ≥ c.

Substitute the known values in the above equation, so, we have the following representation

9 + 5 ≥ x

9 + x ≥ 5

5 + x ≥ 9

Evaluate the sum

14 ≥ x

x ≥ -4

x ≥ 4

So, we have

14 ≥ x

x ≥ 4

Combine

4 ≤ x ≤ 14

This means that values less than 4 or greater than 14 cannot be the length of the third side

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The measure that  cannot be the length of the third side is 14. Option

An important rule to remember about triangles is called the third side rule:

Third side rule of triangles states that;

The length of the third side of a triangle is less than the sum of the lengths of the other two sides and greater than the (positive) difference of the lengths of the other two sides.

For this triangle, the length of the third side must be greater than

9- 5= 4

Also, the length of the third side must be less than

9 + 5 = 14

Hence,  all the answers are possible except for answer D, which is equal to 14 but not less than 14.

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The Complete question is added as:

A triangle has side lengths of 9 and 5. Which of the following cannot be the length of the third side? *

a. 4

b. 5

c. 11

d. 14

Answer:

It’s false

Step-by-step explanation:

It doesn’t need to be the same

Step-by-step explanation:

Scale factor =5/2

length=5/2×18= 45

width=5/2×12= 30

perimeter = 2(L+W)

=(45×2+30×2)

90 +60

=150 inches

Answer:

<B is 53.13degrees

Step-by-step explanation:

Find the diagram attached

Given

Opposite side= 4 (side facing <B)

Adjacent side = 3

Required

<B

According to SOH CAH TOAS identity

tan theta = opp/adj

tan<B = 4/3

<B = arctan(4/3)

<B = arctan(1.3333)

<B = 53.13 degrees

Hence the angle <B is 53.13degrees based on the diagram

Answer:

Sample proportion ; phat

x / n

Step-by-step explanation:

The sample proportion may be explained as a proportional representation of part of the population or larger sample which have a certain character or exhibit a particular trait.

The sample proportion is expressed Mathematically as ;

phat = x / n

x = number of subjects with a specified characteristic ;

n = total sample size

For instance ;

The proportion of black balls in a sample of 100 balls is 15 ; the sample proportion of bla k balls will be :

phat = x / n = 15 / 100 = 0.15

Answer:

The answer is D .

Step-by-step explanation:

Hope it was helpful .

Answer:7n+28

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

d=2r

2r=25+25=50

d=50

Radius =25

Answer:

25 yds

Step-by-step explanation:

2*radius=diameter

radius=d/2

r=50/2

r=25yds

Answer: 5x

Step-by-step explanation:

5x + 3x = 8x

Answer: Question

find the missing term in the equation below (?+5)+(3x-2)=8x+3

(5x+5)+(3x-2)=8x+3

5x+5+3x-2

5x+3x+5-2

8x+3

therefore, answer proved

PLZ ACCEPT MY EFFORT

5 STAR +THANKS  :(

Answer:B

Step-by-step explanation:

Its b,i swear on my doggie

Answer:

18x^2 - 30x

Step-by-step explanation:

Distribution:

You just have to distribute 6x by each term in the parenthesis.

Equation: 6x(3x-5)

(You can also think of it as: 6x * 3x + 6x * -5)

18x^2 - 30x

This is as simplified as can it can be.

(You can’t add terms that have different variables, seeing as the first term has x^2 and the second one only has x).

Answer:

x lies between 0 and 1 on the number line

Step-by-step explanation:

As we move to the left from 0.99, the first integer we reach is 0; as we move to the right from 0.99, the first integer we reach is 1.

Thus, 0 < x > 1:  x lies between 0 and 1 on the number line.

Answer:

(5, -2)

Step-by-step explanation:

It is in the middle of the parabola for the points (3, -2) and (7, -2).

Answer:

|8|a + |35|     or      = |-8|a+|-35_|

Step-by-step explanation:

8(a+5)=8•a+8•5

         =8a+35

         = |8|a + |35|     or      = |-8|a+|-35_|

Answer:

[tex]A=1250m^2[/tex]

Step-by-step explanation:

From the question we are told that

Dimension of drawing

20 centimetres by 10 centimetres

Scale of drawing

1 cm:250 cm

Generally the the Main dimension of the pool is mathematically given as

[tex]L=length\ of\ scaled\ pool*250 cm\\B=length\ of\ scaled\ pool*250 cm\\L=20*250=5000 cm=50m\\B=10*250=2500 cm=25m[/tex]

Therefore Area Aof main pool is mathematically given as

[tex]A=50m*25m=1250 m^2[/tex]

[tex]A=1250m^2[/tex]

ANSWER:

Caso estadístico: Altura de las mujeres de la poblacion indigena Sikuani.

Step-by-step explanation:

Población: Mujeres de la comunidad sikuani

Muestra: se toma una muestra de 20 datos para calcular la altura ,este dato se toma de la población total  de 165 mujeres.

M: ( 1.30, 1.20, 1.50, 1.52, 1.60, 1.37, 1.28, 1.55,1.46, 1.26, 1.57, 1.58, 1.54, 1.38, 1.56, 1.23, 1.59, 1.62, 1.48, 1.40)

Variable: Altura

Recorrido de la  variable: El recorrido de la variable es la diferencia entre el valor máximo de la muestra y el valor mínimo.

Altura máxima: 1.62 m.

Altura mínima : 1.20

Como ya tenemos el valor máximo y el valor mínimo ,podemos hallar el recorrido de la variable.

                               R=( 1.62m -1.20m)

                                        R= 0.42

Question:

If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.

Coin wrapper volume = 27,480 mm^3

Coin diameter = 21.18 mm

Answer:

The thickness of a coin is: 1.95mm

Step-by-step explanation:

Given

[tex]V = 27480mm^3[/tex] -- volume

[tex]d = 21.88mm[/tex] --- the diameter

Required

The thickness of each coin

This implies that, we calculate the height of each coin.

First, calculate the radius (r) of the coin

[tex]r = \frac{1}{2}d[/tex]

[tex]r = \frac{1}{2} * 21.18mm[/tex]

[tex]r = 10.59mm[/tex]

The volume of the coin is calculated as:

[tex]V =\pi r^2H[/tex]

Where H represents the total heights of the 40 coins

[tex]27480 = 3.14 * 10.58^2 * H[/tex]

Solve for H

[tex]H = \frac{27480 }{ 3.14 * 10.58^2}[/tex]

[tex]H = \frac{27480 }{ 351.480296}[/tex]

[tex]H = 78.1836145944[/tex]

The height of a coin is calculated by dividing H by 40

[tex]h = \frac{78.1836145944}{40}[/tex]

[tex]h = 1.95459036486[/tex]

[tex]h \approx 1.95mm[/tex]

Hence, the thickness of a coin is: 1.95mm

Answer:

Matallica

Step-by-step explanation:

It's my personal favorite but also Nervana....

Answer: Nirvana

Step-by-step explanation: hoped this helped :)

Answer:

3458

Step-by-step explanation:

Answer:

1. yes

2.no

3.yes

4. no

hope this helps I'm not sure about number 2 tho

Answer: y= 100x +1500

Step-by-step explanation:

The 1500 value never changes, so it doesn’t need a variable

The 100 value will change based on how many he sells, so it needs a variable

Answer:

its the first one.

Step-by-step explanation:

the 1500 stays the same so it would be 100×how ever many tractors so 100z+1500

Answer:

6x*2-3x*2y

4p-18

Step-by-step explanation:

Answer:12

Step-by-step explanation:

Because i Have nolege.

Answer:

The answer is 6m

Step-by-step explanation:

This is because the formulae used to find the area of a triangle is ½ multiplied by the base multiplied by the height.

Hope it helps:)