Here are two five-pointed stars. A student said, "Both figures A and B are polygons. They are both composed of line segments and are two-dimensional. Neither has curves." Do you agree with the statement? Explain your reasoning.

Answer:

The horizontal length is 80 cm, and the vertical height is 60 cm.

Step-by-step explanation:

The aspect ratio is the ratio of the horizontal length to the vertical height.

We have a rectangle with sides 4 and 3. We can find the length of the diagonal.

We can use the Pythagorean theorem to find the length of the diagonal.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

c^2 = 25

c = 5

The diagonal is 5 in the ratio.

The ratio of the horizontal length to the vertical height to the diagonal is

4:3:5

We multiply all the numbers in the ratio by the same unknown, x.

A ratio of 4:3:5 is the same as a ratio of 4x:3x:5x.

We are told that the diagonal is 100 cm, so we have

4x : 3x : 100,

but we already had a ratio of

4x : 3x : 5x, so

5x = 100, and we can find x.

5x = 100

Divide both sides by 5.

x = 20

Since x = 20, then the horizontal length 4x = 4(20) = 80,

and the vertical height 3x = 3(20) = 60

Answer: The horizontal length is 80 cm, and the vertical height is 60 cm.

Answer:

horizontal length=80, vertical length=60

Step-by-step explanation:

a^2 + b^2 = c^2

the tv is a 3:4:5 right triangle

the ratio is then changed from

3:4:5

to

60:80:100

because 100/5 = 20

so you multiply the original ratio by 20

(because the length of 100 that we are given is the hypotenuse of the triangle(diagonal of the tv))

Therefore,

the horizontal length is 80

the vertical lengt is 60

Answer: Option 2

Step-by-step explanation:

Let f(y)=x.

\(x=2y+3\\\\x-3=2y\\\\y=\frac{1}{2}x-\frac{3}{2}\\\\f^{-1}(x)=\frac{1}{2}x-\frac{3}{2}\)

The inverse of the function is,

⇒ f ⁻¹(x) = 1/2 (x - 3)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = 2x + 3

Now,

We can find the inverse of function as;

⇒ f (x) = 2x + 3

Put y = f (x);

⇒ y = 2x + 3

Solve for x;

⇒ y - 3 = 2x

⇒ x = 1/2 (y - 3)

⇒ f ⁻¹(x) = 1/2 (x - 3)

Thus, The inverse of the function is,

⇒ f ⁻¹(x) = 1/2 (x - 3)

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ5

The probability that a visit to a PCP's office results in both lab work and a referral to a specialist is 0.12.

P(not L and not R) = 0.35 (neither lab work nor referral)

P(R) = 0.30 (referral)

P(L) = 0.40 (lab work)

We want to find P(L and R), the probability that a visit to a PCP's office results in both lab work and a referral to a specialist.

P(L and R) = P(L | R) * P(R)

Since P(L and R) are not mentioned explicitly, we can assume that the events of lab work and referral are independent. This means that the occurrence of one event does not affect the probability of the other event.

Under the assumption of independence, we can write:

P(L and R) = P(L) * P(R)

Plugging in the given values, we have:

P(L and R) = 0.40 * 0.30

P(L and R) = 0.12

Learn more about probability here:

https://brainly.com/question/32004014

#SPJ11

The answer to the following question is 1,0.1443, -0.2533 and 49.99.

To calculate we procced in following manner:

a. First, we need to standardize the value of 492 using the formula z = (X - μ) / σ. Substituting the given values, we get z = (492 - 50) / 4 = 110.5. Using a standard normal table or calculator, the probability of a z-score less than 110.5 is essentially 1, so P(X < 492) ≈ 1.

b. Following the same process, we standardize the values of 49 and 50.5 to get z-scores of (49 - 50) / 4 = -0.25 and (50.5 - 50) / 4 = 0.125. Using a standard normal table or calculator, the probability of a z-score between -0.25 and 0.125 is approximately 0.1443, so P(49 < X < 50.5) ≈ 0.1443.

c. To find the value of X such that there is a 40% chance that X is above that value, we need to find the z-score such that the area to the right of it is 0.4. Using a standard normal table or calculator, we find that the z-score is approximately -0.2533.

Standardizing this value using the formula z = (X - μ) / σ and solving for X, we get X = σz + μ = 4(-0.2533) + 50 = 49.9868. Therefore, there is a 40% chance that X is above 49.99 (rounded to two decimal places).

For more similar questions on calculator:

https://brainly.com/question/4470511

#SPJ11

The volume of liquid left in container a at the end is 0 ml.

Let's assume that both containers initially contained x ml of liquid. After pouring 120 ml from a to b, container a will have x-120 ml left, and container b will have x+120 ml.

We know that container b now contains 5 times as much liquid as container a, so:

x+120 = 5(x-120)

Expanding the brackets and solving for x:

x+120 = 5x - 600

480 = 4x

x = 120

As a result, there was initially 120 milliliters of liquid in each container. Containers a and b will each contain 240 milliliters, or five times as much liquid as container a, after 120 milliliters have been transferred from one to the other.

As a result, there is 0 ml of liquid remaining in container a at the end.

know more about volume visit :

https://brainly.com/question/24086520

#SPJ1

Answer:

y=-3x-4

for the line that passes through the points

Answer:

1527

Step-by-step explanation:

just do 19,087.50 divided by 12.50

Answer:

375

Step-by-step explanation:

We can see that this function is of the same order of magnitude as 1/n. Therefore, we can say that (n-1)/(6n) = Θ(1/n), and 1/n is a good reference function for this function.

To find good reference functions for each of the given functions using the big-Theta notation, we need to find a lower and an upper bound that is both of the same order of magnitude as the function.

i. 3n² + 5n(2n+7)

Expanding the expression inside the parentheses and simplifying, we get:

3n² + 10n² + 35n

= 13n² + 35n

We can see that this function is of the same order of magnitude as n^2. Therefore, we can say that 13n² + 35n = Θ(n²), and n² is a good reference function for this function.

ii. n(n+1)/2

Expanding and simplifying, we get:

n(n+1)/2 = (n² + n)/2

We can see that this function is of the same order of magnitude as n². Therefore, we can say that (n² + n)/2 = Θ(n²), and n² is a good reference function for this function.

iii. 3n + \(3n^6\) + 5logn(2n)

We can see that the term \(3n^6\) dominates the other terms for large values of n. Therefore, we can say that 3n + \(3n^6\) + 5logn(2n) = Θ(\(n^6\)), and \(n^6\) is a good reference function for this function.

iv. n(n-1)/(6n² + log2(n))

For large values of n, the logarithmic term becomes negligible compared to the quadratic term in the denominator. Therefore, we can approximate the function as:

n(n-1)/(6n² + log2(n)) ≈ n(n-1)/(6n²)

= (n-1)/(6n)

Learn more about magnitude here:

https://brainly.com/question/2596740

#SPJ11

Answer:

8

Step-by-step explanation:

To find the largest number of groups she can have, find the largest number that can divide 104 and 88 evenly.

This number is 8, since 8 divides 104 to 13 and it divides 88 to 11.

This means each group will have 13 nickels and 11 dimes.

So, the answer is 8 groups.

Answer:

eight

Step-by-step explanation:

Answer:

The given symbol for the nth triangular number = Tₙ

The given symbol for the nth square number = Qₙ

The given symbol for the nth pentagonal number = Pₙ

The mathematical formula for the nth triangular number, Tₙ = n·(n + 1)/2

The nth square number is given by Qₙ = n²

The nth pentagonal number is given by Pₙ = n·(3·n - 1)/2

(a) T₃.ₙ₋₁ = (3·n - 1)·(3·n - 1 + 1)/2 = (3·n - 1)·(3·n)/2  = 3·(3·n - 1)·(n)/2 = 3·Pₙ

Therefore;

T₍₃.ₙ ₋ ₁₎ = 3·Pₙ

(b) Pₙ - Qₙ = n·(3·n - 1)/2 - n²

Expanding the above equation gives;

n·(3·n - 1)/2 - n² = (3·n² - n - 2·n²)/2 = (n² - n)/2 = n·(n - 1)/2

T₍ₙ ₋ ₁₎ = ((n - 1)· ((n - 1) + 1))/2 =  ((n - 1)· n)/2 = n·(n - 1)/2

∴ Pₙ - Qₙ = n·(3·n - 1)/2 - n² = n·(n - 1)/2 = T₍ₙ ₋ ₁₎

∴ Pₙ - Qₙ = T₍ₙ ₋ ₁₎

Therefore, we get;

P₃.ₙ - Q₃.ₙ = T₍₃.ₙ ₋ ₁₎

Where, T₍₃.ₙ ₋ ₁₎ = 3·Pₙ from (a) above, gives;

P₃.ₙ - Q₃.ₙ = 3·Pₙ

∴ P₃.ₙ - 3·Pₙ = Q₃.ₙ

Plugging in the values, gives;

P₃.ₙ = (3·n)·(3·(3·n) - 1)/2 = (3·n)·((9·n) - 1)/2

3·Pₙ = 3·n·(3·n - 1)/2

P₃.ₙ - 3·Pₙ = (3·n)·((9·n) - 1)/2 - 3·n·(3·n - 1)/2 = (3·n)·(((9·n) - 1) - (3·n - 1))/2

(3·n)·(((9·n) - 1) - (3·n - 1))/2 = (3·n)·(9·n - 1 - 3·n + 1)/2 = (3·n)·(6·n )/2 = 9·n²

Q₃.ₙ = (3·n)² = 9·n²

∴ P₃.ₙ - 3·Pₙ = P₃.ₙ - 3·Pₙ

Step-by-step explanation:

Explanation:

We know that there is six faces on each dice. Meaning it says rolling two dice. So 6 times 6 equal 36. 36 possible outcomes.

Steps:

1: 6*6= 36

2: 3/36 outcomes

Answer: 3/36, or 1/12

Please mark brainliest

Hope this helps.

The graph of the function is solved and the solution is x = 2

Given data ,

To find the positive solution to f(x) = g(x), we need to set the two functions equal to each other and solve for x.

f(x) = g(x) can be written as:

5x² - 10x + 4 = -5x + 14

Rearranging the equation:

5x² - 10x + 5x + 4 - 14 = 0

5x² - 5x - 10 = 0

Now, we can solve this quadratic equation for x. We can either factor the equation or use the quadratic formula.

Using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 5, b = -5, and c = -10.

x = (-(-5) ± √((-5)² - 4(5)(-10))) / (2(5))

x = (5 ± √(25 + 200)) / 10

x = (5 ± √225) / 10

x = (5 ± 15) / 10

We have two possible solutions:

x = (5 + 15) / 10 = 20 / 10 = 2

x = (5 - 15) / 10 = -10 / 10 = -1

Now, we need to determine which of these solutions is positive so , x = 2

Hence , the positive solution to f(x) = g(x) is x = 2

To learn more about quadratic equations click :

https://brainly.com/question/25652857

#SPJ1

Answer:

y = 4.40x + 29.90

Hope this helps! Do let me know if you need any explanation :)

If you deposit $14,000 into an account paying 2.1% interest compounded monthly, you will earn approximately $2,450 in interest after 8 years.

To calculate the interest earned, we can use the formula for compound interest: A = \(P(1 + r/n)^(nt)\), where A is the final amount, P is the principal amount (initial deposit), r is the annual interest rate (expressed as a decimal), n is the number of times interest is compounded per year, and t is the number of years.

In this case, the principal amount is $14,000, the annual interest rate is 2.1% (or 0.021 as a decimal), and the interest is compounded monthly, so n = 12. The time period is 8 years.

Plugging these values into the formula, we get:

A = \(14000(1 + 0.021/12)^(^1^2^*^8^)\)

Calculating this expression, we find that the final amount after 8 years will be approximately $16,449.55. To determine the interest earned, we subtract the initial deposit from the final amount:

Interest earned = $16,449.55 - $14,000 = $2,449.55.

Rounding this to the nearest dollar, the interest earned after 8 years will be approximately $2,450.

Learn more about subtract here:

https://brainly.com/question/13619104

#SPJ11

Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

The statement highlights the importance of merchandise in retail as a means to generate income and maintain customer loyalty.

Merchandise plays a vital role in the success of any retail business. It serves as a key source of revenue, allowing businesses to generate income and sustain their operations. By offering a diverse range of products that align with current trends and cater to the needs of their clientele, businesses can attract customers and encourage repeat purchases.

One of the crucial aspects of managing merchandise is understanding the buyers' responsibility. Buyers are responsible for selecting the right products to stock in the store, ensuring they meet customer demands and preferences. By carefully curating a collection that appeals to the target market, businesses can enhance their chances of selling out of merchandise and maintaining a loyal customer base.

In addition to selecting merchandise, effective management also involves various other aspects. These include sourcing reliable vendors, negotiating favorable terms and pricing, implementing effective marketing strategies to create awareness and drive sales, and establishing efficient selling processes. These steps are necessary for a business owner, like Gina Colon, who aspires to own her own clothing line. By acquiring knowledge and insight into these areas, she can lay a solid foundation for her entrepreneurial venture.

In conclusion, merchandise holds significant importance in the retail industry. It serves as a primary source of revenue and plays a crucial role in attracting customers and fostering loyalty. By understanding the buyers' responsibility and employing effective strategies in vendor selection, negotiation, marketing, and selling, entrepreneurs can enhance their chances of success in the competitive retail market.

Learn more about merchandise

brainly.com/question/31977819

#SPJ11

1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.

2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.

3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.

4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.

5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.

6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.

7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.

1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.

This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.

To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.

However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.

This led to the development of the modern pickup truck, which is now a staple of the American automobile market.

2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.

Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.

3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.

However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.

4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.

In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.

However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.

5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.

6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.

However, they may be necessary for individual companies to remain competitive in the short term.

Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.

7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.

While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.

In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.

For similar question on regulations.

https://brainly.com/question/29618671

#SPJ11

The transformation t is defined as t(x) = ax, where a is a constant.

To find the image of u under the transformation t, we need to substitute u for x in the expression t(x).

The transformation t:[3 ≥ [2 is defined as t(x)=ax, where a is a constant.

This means that for any given value of x in the domain [3,

the transformation t maps it to a corresponding value of ax in the codomain [2.

To find the image of u under the transformation t

                                     t(u) = au.

This means that the image of u under the transformation t is the value of au in the codomain [2.

For example, if u = 4 and a = 2, then t(u) = 2(4) = 8, which is the image of u under the transformation t.

Learn more about transformation here:

https://brainly.com/question/11709244

#SPJ11

In the scene of the action movie, the film crew sets up a thrilling sequence where a helicopter needs to pick up a stunt actor who is located on the side of a canyon. The stunt actor finds himself positioned 20 feet below the ledge of the canyon, adding an extra layer of danger and excitement to the scene.

The helicopter, operated by a skilled pilot, hovers confidently above the canyon ledge, situated at a height of 30 feet. Its powerful rotors create a gust of wind that whips through the surrounding area, adding to the intensity of the moment. The crew meticulously sets up the shot, ensuring the safety of the stunt actor and the entire team involved.

To accomplish the daring rescue, the pilot skillfully maneuvers the helicopter towards the ledge. The precision required is immense, as the gap between the stunt actor and the hovering helicopter is just 50 feet. The pilot must maintain steady control, accounting for the wind and the potential risks associated with such a high-stakes operation.

As the helicopter descends towards the stunt actor, a sense of anticipation builds. The actor clings tightly to the rocky surface, waiting for the moment when the helicopter's rescue harness will reach him. The film crew captures the tension in the scene, ensuring every angle is covered to create an exhilarating cinematic experience.

With the helicopter now mere feet away from the actor, the stuntman grabs hold of the harness suspended from the aircraft. The helicopter's winch mechanism activates, reeling in the harness and lifting the stunt actor safely towards the hovering aircraft. As the helicopter ascends, the stunt actor is brought closer to the open cabin door, finally making it inside to the cheers and relief of the crew.

The filming of this thrilling scene showcases the meticulous planning, precision piloting, and the bravery of the stunt actor, all contributing to the creation of an exciting action sequence that will captivate audiences around the world.

To know more about sequence visit:

https://brainly.com/question/30262438

#SPJ11

Answer:

Your answer is x = -24

Hope that this is helpful. Vote and like it

If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.

A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.

Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.

IT professionals must consider a wide range of risks, including the following:

To know more about the Single-loss expectancy (SLE), here

https://brainly.com/question/14587600

#SPJ4

Answer:

950 feet

Step-by-step explanation:

350+600=950

The distance of the balloon from its  launching point is 695 feet.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.

Given that,

The height of the balloon = 350 feet.

And goes to east for 600 feet.

to find the distance of balloon from its launch point,

Use Pythagoreans theorem,

Distance = √(350)²+(600)² = √694.62 = 695

The required distance is 695 feet.

To know more about Triangle on :

https://brainly.com/question/2773823

#SPJ5

Part I: Zachary's down payment will be $31.25.

Part II: Zachary will have $93.75 left to pay after making his down payment.

Part III: Zachary will have to make 6 monthly payments.

Part IV: Zachary should make his first monthly payment in June.

Part 1: The down payment will be 25% of the total cost of the Mother's Day present, which is $125.

Down payment = 25% of $125

Down payment = 0.25 x $125

Down payment = $31.25

Therefore, Zachary's down payment will be $31.25.

Part II: After making the down payment, Zachary will have to pay the remaining amount.

Remaining amount = Total cost - Down payment

Remaining amount = $125 - $31.25

Remaining amount = $93.75

Zachary will have $93.75 left to pay after making his down payment.

Part III: Not including the down payment, Zachary will have to make monthly payments.

To calculate the number of monthly payments, we need to divide the remaining amount by the monthly payment amount.

Number of monthly payments = Remaining amount / Monthly payment amount

Number of monthly payments = $93.75 / $18

Number of monthly payments = 5.208333...

Since we cannot have a fraction of a payment, we round up to the nearest whole number.

Zachary will have to make 6 monthly payments.

Part IV: Zachary should make his first monthly payment at the beginning of the next month after the down payment.

Assuming the down payment is made in May, and the holiday falls on the second Sunday of May, Zachary should make his first monthly payment at the beginning of June.

Therefore, Zachary should make his first monthly payment in June.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ1

the probability that a randomly selected student is either a woman or earning an A is 0.625 or 62.5%.

To find the probability that a randomly selected student is either a woman or earning an A, we need to calculate the total number of students who fall into either category and divide it by the total number of students in the class.

Given that there are 40 students in the class, we know that 22 are women and 10 are earning an A. However, 7 of the women are also earning an A, so we need to subtract this overlap to avoid double-counting.

Therefore, the number of students who are either women or earning an A is 22 + 10 - 7 = 25.

The probability can now be calculated by dividing this number by the total number of students in the class: 25/40 = 0.625.

So, the probability that a randomly selected student is either a woman or earning an A is 0.625 or 62.5%.

to learn more about probability

https://brainly.com/question/31828911

#SPJ11

Answer:

100π or ≈ 314.1592

Step-by-step explanation:

Area of a circle formula: A = πr²

A = π(10)²

A = π(100)

A = 100π ≈ 314.1592

Answer:

100pi

Step-by-step explanation:

pi*radius^2=area

pi*10^2=100pi

Answer:

use air math personal tutors to help you and help you show your work!

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 liter = 0.22 UK gallons, so we multiply liters by 0.22 for UK gallons.

1 liter = 0.26 US gallons, so we multiply liters by 0.26 for US gallons.

Name all angles when there are two parallel lines cut by a transversal?

Alternate interior angles

Corresponding angles

Vertically opposite

From figure 1,

Since the angles marked with colour fulfil the vertically opposite angles properties ,so

(2x+35)° = (8x-49)°

⇒(2x-8x)=(-49-35)°

⇒-6x=-84

⇒x = 14°

Hence , x = 14°

From figure 2,

Since the angles marked are corresponding angles,therefore on equating both angles we get

(10x-18)°=(15x-48)°

⇒(10x-15x)=(-48+18)°

⇒-5x = -30°

⇒ x = 6°

From figure 3,

Since the given two angles are alternate interior angles ,so

(7x+5)°=(12x-75)°

⇒(7x-12x)=(-75-5)°

⇒-5x=-80°

⇒x = 16°

From figure 4 ,

Since the two angles lies in a straight line ,so sum is 180°

(27x-21)°+(10x-16)°=180°

⇒37x -37° = 0

⇒ x = 1°

Learn more about angles by:

https://brainly.com/question/24541599

#SPJ1

Answer:

134

Step-by-step explanation:

You must add the angles together:

67+67=134

Answer:

134

Step-by-step explanation: