Radius = 11 cm.; Height = 10 cm.

In this movie, the ratio of children to adults suggests that there are 27 children in attendance.

We have to give that,

There are 9 children for every 4 adults.

This means that if there were 13 people, 9 of them would be children and 4 would be adults.

Children would therefore be:

= 9 / 13

If there were 39 people, the number of children would be:

= 9/13 x 39

= 27 children

In conclusion, there are 27 children.

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The complete question is,

In the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults in the movie.

How many children are in the movie?

(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) =  5/8.

The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.

The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;

P(E) = Number of Favourable Outcomes/Number of total outcomes

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = P(A) + P(B) - P(A).P(B)

0.8 = 0.2 + P(B) - 0.2.P(B)

0.5 = P(B)  - 0.2.P(B)

0.5 = 0.8.P(B)

P(B) = 0.5/0.8

P(B) = 5/8

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The solution of inequality -8+4x<-4 is given by x<1 anbd the graph is given by,

Given the inequality is, -8+4x < -4

Solving the inequality we get,

-8+4x < -4

4x < -4+8, adding 8 to both sides

4x < 4

x < 1, dividing both sides by 4

Hence the solution is x<1.

The graph of solution set in number line is,

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Answer:

Step-by-step explanation:

Answer:

Arithmetic.

d = -10.

Step-by-step explanation:

There is a common difference of -10 so it is arithmetic.

The Formula for finding the surface area of hexagonal prism is written as \(6sh + 3\sqrt{3} s^{2}\) .

What is a Hexagonal Prism ?

A hexagonal prism is a type of prism which contains a hexagonal base and top .

(i) The hexagonal prism contains two hexagons where one is base and other on top and it has 6 rectangles that connects the hexagonal faces .

(ii) The hexagonal prism has 12 vertices , 8 faces and 18 edges .

Let the side of the hexagonal base of the hexagonal prism be = s ;

let height of hexagonal prism be denoted by "h" ;

So , Surface Area of hexagonal prism  =  \(6sh + 3\sqrt{3} s^{2}\) .

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The two non negative real numbers with a sum of 64 that have the largest possible​ product are; 32 and 32.

Let the two numbers be x and y.

Thus, if their sum is 64, then we have;

x + y = 64

y = 64 - x

Their product will be;

P = xy

Putting (64 - x) for y in the product equation we have;

P = (64 - x)x

P = 64x - x²

Since the product is maximum, let us find the derivative;

P'(x) = 64 - 2x

At P'(x) = 0, we have;

64 - 2x = 0

2x = 64

x = 64/2

x = 32

Thus; y = 64 - 32

y = 32

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The value of x corresponds to option B: 10.5 as the figure provided has two congruent figures inside it.

From the given image, we can consider that that the two triangles- one for which side x is given, and another for which measurements of both sides are given- are congruent. This is because they both have one common side and one angle equal to another at a vertex (refer image).

Thus, we have:

(x / 19.3) = (3.9 / 7.2)

Then, attempting to find the value of x we have:

x = (3.9 / 7.2) × (19.3)

= 10.5

Therefore, option B gives the measure of the side x of the given triangle, where x = 10.5.

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1. Building Supply Company:

Let's define the variables:

Let B represent the number of pallets of bricks.

Let R represent the number of pallets of roofing material.

According to the problem, we have the following restrictions:

At least 30 pallets of brick: B ≥ 30

Each brick pallet weighs 900 pounds: 900B ≤ 34,000 (load capacity of the truck)

At least 20 pallets of roofing material: R ≥ 20

Each roofing material pallet weighs 650 pounds: 650R ≤ 34,000

The first inequality ensures that the company has at least 30 pallets of bricks.

The second inequality guarantees that the total weight of bricks (900B) does not exceed the load capacity of the truck, which is 34,000 pounds.

The third inequality ensures that the company has at least 20 pallets of roofing material.

The fourth inequality guarantees that the total weight of roofing material (650R) does not exceed the load capacity of the truck.

2. Effective Interest Rate Calculation:

To calculate the effective interest rate compounded monthly, we use the formula:

Effective Interest Rate = (1 + (Annual Interest Rate / Number of Compounding Periods)) ^ Number of Compounding Periods - 1

In this case, the annual interest rate is 8.1% (0.081) and it is compounded monthly. Therefore, we have:

Effective Interest Rate = (1 + (0.081 / 12))^12 - 1 = 8.44%

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Therefore, the ground speed of the plane is approximately 161.31 mi/h.

To find the true course and ground speed of the plane, we can use vector addition.

Let's first represent the velocity of the plane and the velocity of the wind as vectors. The velocity of the plane is the airspeed, which has a magnitude of 180 mi/h, and it is directed N45°W. The velocity of the wind is 35 mi/h, directed S30°E.

To determine the true course, we need to add the vectors representing the velocity of the plane and the velocity of the wind.

Convert the given directions to vector form:

Velocity of the plane: 180 mi/h at N45°W

Velocity of the wind: 35 mi/h at S30°E

Since N45°W is equivalent to S45°E, we can rewrite the velocity of the plane as:

Velocity of the plane: 180 mi/h at S45°E

Convert the velocities to Cartesian coordinates:

Velocity of the plane: 180(cos 45°i - sin 45°j) = 180(0.7071i - 0.7071j)

Velocity of the wind: 35(cos 30°i + sin 30°j) = 35(0.8660i + 0.5000j)

Add the two vectors:

Resultant velocity = Velocity of the plane + Velocity of the wind

= 180(0.7071i - 0.7071j) + 35(0.8660i + 0.5000j)

= (180 * 0.7071 + 35 * 0.8660)i + (-180 * 0.7071 + 35 * 0.5000)j

= 143.12i - 75.46j

The true course is the direction of the resultant vector. To find the angle, we can use the inverse tangent function:

True course = arctan((-75.46) / 143.12)

≈ -27.68°

The true course of the plane is approximately N27.68°W.

To find the ground speed, we need to find the magnitude of the resultant velocity:

Ground speed = √\(((143.12)^2 + (-75.46)^2)\)

≈ 161.31 mi/h

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The best prediction of the bird population in the year 2014 is 3132.

The given data is-

Difference of the years;

2014 - 2009 = 5 years

Decline = 3,500 * (0.978)^5

Decline = 3,500 * 0.89473

Decline  = 3131.57

Thus, the population of the birds in 2014 will be 3,131.57 ≈ 3,132.

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The exact values of sin(2x), cos(2x), and tan(2x) without solving for x are: a) sin(2x) = 2sin(x)cos(x). b) cos(2x) = cos^2(x) - sin^2(x). c) tan(2x) = 2tan(x) / (1 - tan^2(x))

(a) To find the exact value of sin(2x), we can use the double angle formula for sine:

sin(2x) = 2sin(x)cos(x)

Therefore, the exact value of sin(2x) is 2sin(x)cos(x).

(b) To find the exact value of cos(2x), we can use the double angle formula for cosine:

cos(2x) = cos^2(x) - sin^2(x)

Therefore, the exact value of cos(2x) is cos^2(x) - sin^2(x).

(c) To find the exact value of tan(2x), we can use the double angle formula for tangent:

tan(2x) = 2tan(x) / (1 - tan^2(x))

Therefore, the exact value of tan(2x) is 2tan(x) / (1 - tan^2(x)).

The exact values of sin(2x), cos(2x), and tan(2x) without solving for x are:

a) sin(2x) = 2sin(x)cos(x)

b) cos(2x) = cos^2(x) - sin^2(x)

c) tan(2x) = 2tan(x) / (1 - tan^2(x))

These formulas allow us to express the values of sin(2x), cos(2x), and tan(2x) in terms of the values of sin(x) and cos(x) without explicitly solving for x.

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The dimensions of the box are 22 inches by 22 inches by 10 inches.

The candles are arranged in a 3x3x1 formation, which means they occupy a space of 3 candles in length, 3 candles in width, and 1 candle in height. The height of each candle is 6 inches, so the total height of the candles is 6 inches. The diameter of each candle is 6 inches, so the width and length of the candle formation are each 6*3 = 18 inches.

To calculate the dimensions of the box, we need to add the padding around the candles. There is 1 inch of padding on all sides of the box, which adds 2 inches to the width, length, and height of the box. There is also 1 inch of padding between each candle in all directions, which adds 2 inches to the width, length, and height of the box. Therefore:

Width of box = (3 candles * 6 inches/candle) + (2 inches padding * 2) = 18 inches + 4 inches = 22 inches

Length of box = (3 candles * 6 inches/candle) + (2 inches padding * 2) = 18 inches + 4 inches = 22 inches

Height of box = 6 inches + (2 inches padding * 2) = 10 inches

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Answer:

All worked out by Kepler some years ago. A circular orbit is a special (and very unlikely) case of an eliptical orbit.

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

Answer:

first of all i need to know the fractions and answer choices to answer this question.

Answer:

Step-by-step explanation:

There are a couple of things to know before we set up the table for this problem. First, we need to remember that if the boat is traveling against the current, that the current is going to slow the boat down; likewise, going with the current will speed the boat up. Second, we need to realize that if the boat's distance against the current is the same as the distance with the current, then the distances in the equations will be set equal to one another.

Set up the table with U (against the current) and D (with the current) on the outside and fill in what we are given:

                      d           =           r            x            t

U    

D

This is the table. Now we will fill it in:

                     d           =           r              x            t

U                                         r - 3             x            3

D                                         r + 3             x           1.8

The formula for the distance equation is at the top of the table as d = rt. We already decided that the distances that the boat traveled upstream and downstream were the same so we will set those d values equal to each other, but we first need to get the d value for each row. If distance = rate times time, then for the first row:

d = (r - 3)3 and

d = 3r - 9. For the second row:

d = (r + 3)1.8 and

d = 1.8r + 5.4. Setting them equal to each other:

3r - 9 = 1.8r + 5.4 and

1.2r = 14.4 so

r = 12 mph

Answer:

d

Step-by-step explanation:

edge2020

???

The system of inequalities represents the given scenario are w ≤ l – 10 and 2l + 2w > 62Therefore, option D is the correct answer.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Given that, the perimeter of a rectangular pool is more than 62 meters.

Let the length of a rectangular pool be l.

The width is at least 10 meters less than the length.

w≤ l-10

So, 2(l+w)>62

2l+2w≥62

Therefore, option D is the correct answer.

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Answer:

45

Step-by-step explanation:

45 is the answer for the question

Answer:

45

Step-by-step explanation:

We take 60 fishes as 100% for last year. This year, the fish decreased by 25%, so the percentage of fish left this year is 75% of the fishes last year.

Therefore, to find 75% of the fishes, we take

60 divided by 100 (100%) and multiply it by 75( 75%) to get 45.

hope u find this helpful!

Answer:

96 ways

Step-by-step explanation:

Given

\(Day = 86400\ seconds\)

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

\(86400/2 = 43200\)

\(43200/2=21600\)

\(21600/2=10800\)

\(10800/2=5400\)

\(5400/2= 2700\)

\(2700/2 = 1350\)

\(1350/2=675\)

\(675/3=225\)

\(225/3=75\)

\(75/3=25\)

\(25/5=5\)

\(5/5 = 1\)

This implies that:

\(86400 = 2^7 * 3^3 * 5^2\)

The number of factors d is the solved by:

\(d = (a+1)*(b+1) *(c+1)\)

Where

\(n = 2^a * 3^b * 5^c\)

By comparison:

\(a = 7\)

\(b = 3\)

\(c=2\)

So:

\(d = (7+1)*(3+1) *(2+1)\)

\(d = 8*4 *3\)

\(d = 96\)

Hence, there are 96 total ways

Answer: If you measure the circumference and the diameter of a circle and divide the circumference by the diameter, you get the number Pi, which is about 3.14.  

Pi is often shown by the Greek letter π  .

The ancient Greeks used the symbol π   to indicate the ratio between the circumference and diameter of a circle. If your calculator does not have the symbol π   , you can use the rounded off number 3.14 for π .

A = 5m × 5m × 3.14 78.5m2  (Note: the symbol  means about the same as).

In the diagram above, the area of the small yellow square is a quarter of the area of the big square.  

If the area of the shaded square is A = 5m × 5m = 25m2  

then the area of the big square is A = 4 × 25m2 =100m2  

You can see that the area of the circle is less than that of the square since the circle fits inside it.  You can also find the area of the circle by multiplying the area of the small square by Pi:    

 A = 3.14 × 25m2 =78.5m2

Answer: B

Step-by-step explanation:

Jameson collects eggs from his chickens every day. The graph shows the approximate number of eggs Jameson collects over a couple of days.

What does

4.5

4.54, point, 5 mean in this situation?

Choose 1 answer:

Choose 1 answer:

(Choice A, Incorrect)   Jameson has

4

44 or

5

55 chickens.

INCORRECT

Jameson has

4

44 or

5

55 chickens.

(Choice B, Checked, Correct)   Jameson collects about

4

44 or

5

55 eggs per day.

CORRECT (SELECTED)

Jameson collects about

4

44 or

5

55 eggs per day.

(Choice C, Incorrect)   It takes

4.5

4.54, point, 5 days for Jameson to collect an egg.

INCORRECT

It takes

4.5

4.54, point, 5 days for Jameson to collect an egg.

If the mean of a set of data is 4.11 and its standard deviation is 3.03. the z score for a value of 10.86 is: 2.23.

Using this formula to find the z-score

z-score  =  Value - Mean / Standard deviation

Where:

Value = 10.86

Mean = 4.11

Standard deviation = 3.03

Let plug in the formula

z-score  =  10. 86 - 4.11 / 3.03

z-score  =  6.75 /3.03

z-score = 2.227

z- score = 2.23

Therefore the z-score is 2.23.

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Answer:

4kg : 45 x 4 + 20 = 200 minutes

5.5kg: 40 x 5.5 = 220 minutes

8kg: 35 x 8 = 280 minutes

The cooking time is directly proportional to weight in Turkey C

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The false statements about points are:

A. They have no length or height.

D. They have no size and no dimensions.

A point is a fundamental concept in geometry. It is considered to be a location in space without any size or dimensions. A point has no length, height, or size. Therefore, statement A is false because points do not possess any physical attributes such as length or height.

Additionally, since a point is dimensionless, it does not have any size or dimensions. It is simply a position in space represented by its coordinates. Therefore, statement D is also false because points do not have any size or dimensions associated with them.

On the other hand, statement B is true. The sizes of points can vary in terms of their position or coordinates in a given coordinate system. However, this does not imply that points themselves have physical size or dimensions.

Lastly, statement C is also true. The size of points does depend on their dimensions in the sense that the coordinates used to represent a point contribute to its location and size within the given coordinate system.

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Step-by-step explanation:

you multiply both the top and bottom by the root if it was alone.

let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.

the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is

(sqrt(2) -1)

make sure to ask if you need any further guidance :)

Answer:

irrational

Step-by-step explanation:

because an irrational number goes on forever so no matter what number is added to it it will always be irrational.

Answer:

Rational

Step-by-step explanation:

Answer:

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