The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 25, 150, 900, ... Find the 9th term.​

Answer:

----------------------------------

According to the two-tangent theorem, two tangent segments drawn to one circle from the same external point are congruent.

That is:

We have EF = 10 units, it means EG is also 10 units.

The perimeter of triangle EHP is:

We can substitute:

Then the perimeter is:

Answer:

Step-by-step explanation:

Equation of the smaller circle:

Equation of the greater circle:

The scale factor is the ratio of radiuses:

So the rule is:

Correct choice is A

Answer:

[tex]\sf A. \quad (x, y) \rightarrow \left(\dfrac{7}{2}x, \dfrac{7}{2}y \right)[/tex]

Step-by-step explanation:

The distance from the center of the circle to any point on the circumference is the radius.

From inspection of the given graph:

To find the scale factor of the dilation from the small circle C to the large circle C', divide the radius of the large circle by the radius of the small circle.

Therefore, the dilation is an enlargement of scale factor ⁷/₂ about the origin.

So the rule that represents the transformation is:

[tex]\sf (x, y) \rightarrow \left(\dfrac{7}{2}x, \dfrac{7}{2}y \right)[/tex]

Check (see attached):

Point (0, 2) is on circle C.

[tex]\implies \sf (0, 2) \rightarrow \left(\dfrac{7}{2}(0), \dfrac{7}{2}(2) \right)=(0,7)[/tex]

Point (1, √3) is on Circle C:

[tex]\implies \sf (1, \sqrt{3}) \rightarrow \left(\dfrac{7}{2}(1), \dfrac{7}{2}(\sqrt{3}) \right)=\left(3.5,6.06)[/tex]

Answer:

Using substitution method

x= 2

y= 1

Because the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse (the longest side), the ratio values will never be greater than one, because (some number) / (a larger number) is always less than one.

Sine & cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as follows: for the specified angle, the sine is the ratio of the length of the side opposite that angle to the length of the triangle's longest side (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.

The sine and cosine functions for an angle θ are simply denoted as sin θ and cos θ. In general, the definitions of sine and cosine can be extended to any real value expressed in terms of the lengths of specific line segments in a unit circle.

Learn more about sine and cosine

https://brainly.com/question/13813821

#SPJ4

Answer:

c = √52

Step-by-step explanation:

→ Write Pythagoras' theorem

a² + b² = c²

→ Substitute in the numbers

4² + 6² = c²

→ Simplify

52 = c²

→ Square root both sides

√52 = c

The height of the cone is 24.6cm and the volume of the cone is 1/3 * pi * 4^2 * 24.6 = 268.08cm^3

We can start by using the formulas for the surface area of a sphere and the curved surface area of a cone. The surface area of a sphere is given by 4 * pi * r^2, where r is the radius of the sphere. The curved surface area of a cone is given by pi * r * l, where r is the radius of the base of the cone and l is the slant height of the cone.

Given that the surface area of the sphere is five times the area of the curved surface of the cone, we can write the following equation:

4 * pi * (5^2) = 5 * pi * r * l

We can then solve for the slant height l of the cone:

l = (4*5^2) / r

Given that the radius of the cone is 4 cm, we can substitute this into the equation and solve for l:

l = 100/4 = 25cm

The volume of the cone is 1/3 * pi * r^2 * h, where r is the radius of the base and h is the height of the cone.

As we know the slant height and radius of the cone, we can use the Pythagorean theorem to find the height of the cone:

h = sqrt(l^2 - r^2) = sqrt(25^2 - 4^2) = sqrt(625 - 16) = sqrt(609) = 24.6cm

Therefore, the height of the cone is 24.6cm and the volume of the cone is 1/3 * pi * 4^2 * 24.6 = 268.08cm^3

To know more about volume of the cone visit :

https://brainly.com/question/29767724?referrer=searchResults

#SPJ4

Answer:

B. (1,4)

Step-by-step explanation:

you see the x and y coordinate by looking at the numbers (x,y) = (1,4)

Answer:

53° and 37°

Step-by-step explanation:

x + (x - 16) = 90

2x - 16 = 90

2x = 106

x = 53

x = 53

x - 53 = ?

90 - 53 = 37

53 - 37 = 16

the answer to −41 + 2/3 × 3/5 ÷(−2/5 ) is -42

The domain of x=4 is (−∞,∞) and range is {y|y=4} .

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

(−∞,∞)

{x|x ∈ R}

y=4

is a straight line perpendicular to the y-axis, which means that the range is a set of one value  {y|y =4}

Set-Builder Notation:{y|y =4}.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

To learn more about Domain :

https://brainly.com/question/2264373

#SPJ4

Answer:

B. Yes, the constant of proportionality is 2.

Step-by-step explanation:

Given:

A linear relationship is shown in the table.

Time (hours) 2 4 6 8

Distance (miles) 4 8 12 16

Is the linear relationship also proportional? Explain.

A. No, the constant of proportionality is 2.

B. Yes, the constant of proportionality is 2.

C. No, there is no constant of proportionality.

D. Yes, there is no constant of proportionality.

Solve:

To know if a linear relationship is proportional, all we have to find out is if after we divide distance by time and if all equal the same. Ex: 4/4=1,3/3=1. As we can see all are equal to 1.

Let's see the table:

Time (hours)                    Distance (miles)

2                                                  4

4                                                  8

6                                                  12

8                                                  16

The formula for it is 'k=y/x'

where;

k: constant of proportionality  

y and x are two quantities that are directly proportional to each other.

Also means;

y = Distance

x = Time(Hours)

Time (hours)                    Distance (miles)

2                                                  4                                                4/2=2

4                                                  8                                                8/4=2

6                                                  12                                               12/6=2

8                                                  16                                                16/8=2

As you see all equal to 2. It a constant. Also means that;

Yes, the linear relationship is proportional and the constant of proportionality is 2.

Answer: B. Yes, the constant of proportionality is 2.

RevyBreeze

The directions of XYZ in graph are left and right, top and bottom and outward from the screen respectively.

The term graph is known as a pictorial representation or a diagram that represents data or values in an organized manner.

Here we have to find the directions of XYZ on the graph.

Here we have know that X-Y-Z matrix is a three-dimensional structure whereby the x-axis and y-axis denote the first two dimensions and the z-axis is the third dimension.

And then in a graphic image, then the x denotes width, y denotes height and the z represents depth.

The directions of the x axis is in the plane of the screen and is positive toward the right and negative toward the left. Where as the directions of the y axis is in the plane of the screen and is positive toward the top and negative toward the bottom.

Finally the directions of the z axis is perpendicular to the screen or keyboard, and is positive extending outward from the screen.

To know more about graph here,

https://brainly.com/question/17267403

#SPJ4

$98 is the final price of the sneaker be after the discount is taken off

percentage, a relative value indicating hundredth parts of any quantity.

Given that in macy's department store, every item has a 30% discount or markdown.

The original price of a pair of Adidas sneakers cost $140

We need to find the final price of the sneaker be after the discount is taken off

Let us find 30% of 140

Convert 30% to decimal value by dividing with 100

30/100×140

0.3×140=42

So 30% of 140 is 42.

After removing discount the amount will be 140-42=98

Hence, $98 is the final price of the sneaker be after the discount is taken off

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Answer:

After 2 years, there will be £ 2,121.80 in the account.

Step-by-step explanation:

Since £ 2000 was put into a bank account that pays 3% compound intrest per year, to determine how much will be in the account after 2 years the following calculation must be performed:

2000 x (1 + 0.03 / 1) ^ 1x2 = X

2000 x 1.03 ^ 2 = X

2,121.8 = X

Therefore, after 2 years, there will be £ 2,121.80 in the account.

EXPLANATION

2025 is a perfect square number hence we can determine its square root. 45 is the square root of 2025 as 45 multiplied by 45 gives the number 2025. Interestingly, – 45 × – 45 is also 2025. Hence It is represented as √2025 = 土45.

Answer:

I only see one raffle, but the expected value of one ticket is $2. (I think)

Step-by-step explanation:

Have a nice day!

The expected value E(x) of 1 ticket is $0.40.

To calculate the total amount by the formula;

Amount = Ticket x Value

Raffle 1

Given;

Tickets  = 800

Value = $2 per ticket

Grand ticket = $450 ...for 1

consolation =$100.. for 2

We need to find the expected value of each ticket;

First, we have to calculate the total amount of the 800 tickets

Amount = Ticket x Value

Amount = 800 x 2

Amount = 1600

Next, we have to calculate the total amount of the prizes

Amount = Ticket x Value

Amount = 450 x 200

Amount = 650

The expected value E(x) of 1 ticket is calculated:

E(x) = 650 / 1600

E(x) = $0.40

Thus, the expected value E(x) of 1 ticket is $0.40.

Learn more about Amount;

https://brainly.com/question/23418023

#SPJ2

Answer:

0.75

Step-by-step explanation:

plato

The value of x for the equation is,

⇒ x = 3/4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Expression is,

⇒ 1.5 (4)²ˣ = 12

Now, We can solve for x as;

⇒ 1.5 (4)²ˣ = 12

Divide by 1.5;

⇒ (4)²ˣ = 12/1.5

⇒ (4)²ˣ = 8

⇒ (2)⁴ˣ = 2³

By comparing we get;

⇒ 4x = 3

⇒ x = 3/4

Thus, The value of x for the equation is,

⇒ x = 3/4

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer: There are three 0s

240 x 25 = 6000 and there are three 0s in 6000

Answer:

when the verbi is taking place, answer 1

Step-by-step explanation:

this is something you will just have to memorize, but the next two answers are both relating to the person, or who and how many are talking, the last option is describing an adverb, or a word that describes a verb. remember that a verb is the action, it has nothing to do with who did it or how it was done, those are described elsewhere

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

Answer:

120°

Step-by-step explanation:

The total sum of the interior angles of a decagon is 1440°

Answer:

y= 3

Step-by-step explanation:

when y = 5 x= 36

because y = 1[tex]\sqrt{x}[/tex]

so y = 1+ 4

so y= 5

so when x= 4

y = 3

Answer:

It appears that you are trying to find a quadratic function in standard form that models the number of guests at the large resort as a function of the number of months since the beginning of the year.

To do this, you can use the given data points to solve for the constants a, b, and c in the standard form of the quadratic function f(x) = ax^2 + bx + c.

To find the values of a, b, and c, you will need to have at least three data points. You can then use these data points to solve a system of three equations with three variables.

For example, using the data points (0, 10), (2, 15), and (4, 18), you can set up the following system of equations:

f(0) = 10 = a(0)^2 + b(0) + c

f(2) = 15 = a(2)^2 + b(2) + c

f(4) = 18 = a(4)^2 + b(4) + c

Solving this system of equations will give you the values of a, b, and c that you can use to write the standard form of the quadratic function that models the data.

I hope this helps! Let me know if you have any questions or need further assistance.

Step-by-step explanation:

15 + 25 = 40

10% of 40 = 4

Therefore, Caleb gave $4 to the church!

Hope this helps :D

Answer:

the sum of the values should be -14

Step-by-step explanation:

-12+3-5=-14

The sample space of the experiment is 52.

The possibility that an event will occur among all potential events is known as probability. It ranges from 0 to 1. The probability is calculated by dividing the number of things by all of the items. Population includes the sample. When studying the entire population is challenging, it is studied.

52 cards in a deck

There are 12 face cards.

The experiment needs a sample space of 52 to find the face cards.

Given that a regular deck of cards is available.

The sample space required for the experiment to determine the probability of face cards must be found.

A face card may or may not be revealed when we pull a card from the deck. So, in order to rule out the possibility that a face card is present at the end of the deck, we must draw every card from a regular deck.

52 samples are therefore required for the experiment.

To know more about probability visit:-

brainly.com/question/11234923

#SPJ4

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance.

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance. For example, C to F note will result in this musical interval. The perfect fourth include one more semi-step compared to the major third  and two semi-steps less compared to the perfect fifth .

The reason for the name perfect goes back to the Medieval. The unison, fourth, fifth and octave were considered most consonant and therefore were given the name perfect. Perfect fourth is “perfect” in the sense that is almost sounds as the unison interval. The perfect fourth interval is abbreviated  (an alternate spelling is augmented third).

To learn more about interval:

https://brainly.com/question/29197921

#SPJ4

Answer:

7) 35/22

8) 45/22

9) 7/5

10) 41/45