A cone is cut by a plane parallel to its base. The small cone on top is similar to the large cone, with a similarity ratio of 1 : 2. The ratio between the volume of the small cone to that of the frustum is _ : _.

Answer:

10 and 2

Step-by-step explanation:

10+2=12

10 is even

2*2=4  10-4+6

Hope this helps ! :)

Answer:

320 in ^3

Step-by-step explanation:

V=B*h/3      where B=10*8=80 and h=12

V=80*12/3=320 in ^3

Answer:

b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121

Step-by-step explanation:

[tex] \Sigma_{k=1}^{16} (k - 5)^2 \\

= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\

=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\

=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121[/tex]

Answer:

x = −1, x = 1, and x = - 3

Step-by-step explanation:

hello :

if : x=1      1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true

if : x=-1     (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true

if : x=3      (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true

Answer:

24

Step-by-step explanation:

Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.

Answer:

C =119.32

A =1133.54

Step-by-step explanation:

UR is the radius = 19

Let pi = 3.14

The circumference is

C = 2*pi*r

C = 2 * 3.14 * 19

C =119.32

The area is given by

A = pi r^2

A = 3.14 * (19)^2

A =1133.54

Answer:

It is the change in y for a unit change in x along the line.

Answer:

the answer is 7 fiyfooutdt7odtudoutdup tiff 7tduptftucoutctuco7tc

Answer:

the medium is 7

Step-by-step explanation:

Answer:

Factor:

9x2 – 64

=(3x+8)(3x−8)

3x – 8

Answer:

Step-by-step explanation:

Answer:

[tex] n = 1162 +2468 =3630[/tex]

And the probability that they cheated and we can use the classical definition of probability given by:

[tex] p =\frac{successes}{Total}[/tex]

And replacing we got:

[tex] p=\frac{1162}{3630}= 0.320[/tex]

So then the probability of people cheated is 0.320 or 32% approximately

Step-by-step explanation:

For this problem we know that in a survey of students, 1162 stated they cheated and 2468 stated they did not.

The total of people is given by:

[tex] n = 1162 +2468 =3630[/tex]

And the probability that they cheated and we can use the classical definition of probability given by:

[tex] p =\frac{successes}{Total}[/tex]

And replacing we got:

[tex] p=\frac{1162}{3630}= 0.320[/tex]

So then the probability of people cheated is 0.320 or 32% approximately

Answer:

i believe the perimeter is 36 im sorry if its not correct

Step-by-step explanation:

simple adding

Answer:

50g sugar, 100g butter and 400g flour

Step-by-step explanation:

You need to find the ingredient that is the limiting factor, in this case it is flour, because you relatively need the most of that.

If all 400g flour is used, you need 4 times less grams of butter, since the ratio between butter and flour is 2 : 8 and they differ by a factor of 4.

That gets you 400/4 = 100g butter, so in fact you're not using 200g of the remaining butter.

Likewise, you'll need 400 / 8 grams of sugar, which is only 50g.

So at least one of the ingredients you'll completely use, the other ones you need less according to the ratio.

Answer:

A. 525.42 inches^3

B. 175.91 mm

Step-by-step explanation:

a. Here we are asked to calculate the volume of the cone given the radius and the height of the cone.

Mathematically, the volume of the cone can be calculated using the formula below;

V = 1/3 * π * r^2 * h

where r is the radius which is 5.1 inches and h is the height of the megaphone = 19.3 inches

Plugging these values, we have;

V = 1/3 * 3.14 * 5.1^2 * 19.3 = 525.42 inches^3

b. Here we are tasked with calculating the height given the value of the volume and the radius.

mathematically, the formula to use is

V = 1/3 * π * r^2 * h

where V = 356,456.2136 cubic millimeter and r is 44mm

plugging these values we have

356,456.2136 = 1/3 * 3.14 * 44^2 * h

h =( 1,069,368.6408)/6,079.04

h = 175.91 mm

Answer: x=4 y=14 z=4

Step-by-step explanation:

On edge it is that

The required exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.

Using math and algebraic principles, simplification entails removing pointless variables, factors, or operations from an expression. Getting an expression that is simpler to use, manipulate, or solve is the aim. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.

Here,
To simplify the given expression, we need to use the rules of exponents:

= [(x²y³)⁻¹ / (x⁻²y²z)²]²

= [(1 / x²y³) / (x⁻⁴y⁴z²)]²

= [(1 / x²y³) * (x⁴ / y⁴z²]²

= x⁴ / y¹⁴z⁴

Therefore, the exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.

Learn more about simplification here:

https://brainly.com/question/12501526

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Remember, SOH CAH TOA for the trigonometric functions. In this problem, we are given an angle, a side opposite that angle, and a side adjacent to that angle. So, we should use the tangent function to find the missing side.

tan(20) = 4 / x

tan(20)x = 4

x = 4 / tan(20)

x = 10.99 units

Hope this helps! :)

Answer:10.99

Step-by-step explanation:

Answer:

Probability that if a manta ray is spotted at random, it would be clouseau = Total number of Clouseau spotted each year) ÷(Total number of manta rays seen each year)

Step-by-step explanation:

The information given is not enough to determine the probability.

We need to know, how many Clouseau are seen each year, then we can find the desired probability.

The Parameters:

Total number of manta rays seen each year = 450

Probability that if a manta ray is spotted at random, it would be clouseau,

P = Total number of Clouseau spotted each year, C) ÷(Total number of manta rays seen each year, T)

P = C/T

P = C/450

Answer:

73,139.67

Step-by-step explanation:

Answer:

30 mm

Step-by-step explanation:

There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.

         2 (3 mm) + 2 (12 mm)

         = 6 mm + 24 mm

         = 30 mm

Answer:

30

Step-by-step explanation:

Since the long side that is blank is the same length of 12 and the short side is the same length of 3.

12+12=24

3+3=6

24+6=30

Answer:

- 190

Step-by-step explanation:

Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.

Answer:

B) -190

Step-by-step explanation:

Trust

Answer:

a. 12

b. 8006

Step-by-step explanation:

We have company A, which is determined with the following equation:

A = 6500 + 125.5 * x

where x is the amount of ton of sugar

Same for company B:

B = 5597 + 200.7 * x

We want to know when A = B are equal, therefore:

6500 + 125.5 * x = 5597 + 200.7 * x

200.75 * x - 125.5 * x = 6500 - 5597

75.25 * x = 903

x = 903 / 75.25

x = 12

That is to say that when they are 12 tons of sugar they charge the same.

To know how much the value would be:

A = 6500 + 125.5 * 12 = 8006

B = 5597 + 200.75 * 12 = 8006

That is to say that the value when it is equal is 8006

Answer:

36

Step-by-step explanation:

12x3=36

Lxwxh

Axh

Answer:

18,6,108

Step-by-step explanation:

edge2020

Answer:

[In Picture]

Step-by-step explanation:

There are no given options.

However, I am able to recreate the best answer for the question given.

There would be arrow going to the left from -3. The arrow will include all numbers less than -3.

Since there is a less than sign, the circle at the beginning of the arrow is open.

Choose the option that closely matches the line shown.

The number line is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

The number line of n < - 3 is n less than -3.

The graph of the number line is given below.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

n < - 3

This is read as,

n is less than -3.

The graph of the number line is given below.

Thus,

The number line of n < - 3 is n less than -3.

The graph of the number line is given below.

Learn more about number line here:

https://brainly.com/question/13425491

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Answer:

$629.75

Step-by-step explanation:

2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)

Answer:

:

I think I know how to solve this. You are trying to find the interest earned.

Step-by-step explanation:

Answer:

t says or, so you can answer any however the answer to time would be 4 years or so

Step-by-step explanation:

10x5 = 50

50x50 = 2500

2500x.4= 1000

1000/250=4

4

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

B.  People who eat there are likely to return and suggest what is good on the menu to friends and relatives.

Answer:

9

Step-by-step explanation:

put in order least to greatest

-9 -9 -7 -6 -5 -4 -3  0

9-0=9

range cannot be negative because it is the space between numbers and distance cannot be negative

Answer: The range is 9.

Answer:

2/3

Step-by-step explanation: