The shortest side of a triangle with angles 50°, 60°, and 70° has
a length of 9 ft. What is the length of the longest side?
Round to the nearest tenth.


*helppp*

An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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Answer:

Slope= y=1/2x+6

Step-by-step explanation:

Hope it helps.

Answer:what grade is this?

Step-by-step explanation:

In surveying, the aim is to gather accurate information about the surface details of a given area and perform calculations related to its area and volume. Once the cross-sectional areas of different parts are determined, the volume can be calculated using two commonly used methods: the trapezoidal rule and the prismoidal rule.

1. Trapezoidal rule: This method involves dividing the cross-sectional area into a series of trapezoids and calculating the area of each trapezoid using the formula: Area = (b1 + b2) * h / 2, where b1 and b2 are the lengths of the parallel sides of the trapezoid, and h is the height or distance between the parallel sides. The areas of all trapezoids are then summed up to find the total volume.

2. Prismoidal rule: This method is an extension of the trapezoidal rule and is used when the cross-sections are not uniform. It involves dividing the cross-section into a series of trapezoids and triangles, calculating the volume of each shape, and then summing them up to find the total volume. The formula for calculating the volume of a trapezoid or triangle is Volume = Area * length, where length is the distance between the cross-sections.

Both the trapezoidal and prismoidal rules are widely used in surveying and provide approximate calculations of volume for irregularly shaped areas. The choice between the two methods depends on the complexity of the cross-sections and the level of accuracy required for the volume calculations.

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Answer:

the slope is m=4/3

The vegetable patch has peppers and aubergines in a ratio of 5:3, with a total of 480 vegetables. Increasing the number of peppers by 10% changes the ratio to 11:5 for peppers to aubergines.

The ratio of peppers to aubergines in the vegetable patch is 5:3, and there are 480 vegetables in total. This means that there are 5/8 peppers and 3/8 aubergines. Increasing the number of peppers by

10% gives 5.5/8 peppers and 2.5/8 aubergines.

Simplifying this gives a new ratio of 11:5 for peppers to aubergines.

Therefore, the new ratio of peppers to aubergines in the vegetable patch is 11:5 in its simplest form.

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The average amount of rainfall that the first city receives is 348.5 mm per year. To get this, you must first find the total rainfall of the first city and then divide it by the number of years. The total rainfall is calculated by adding the rainfall of the second city and the extra rainfall that the first city receives.

Given, The second city receives an average of 224.8 millimeters annually. A city receives an average of 123.7 more millimeters of rain than the second city. In order to find how much rain does the first city receive on average each year, we need to follow the below steps:

Step 1: Find the total amount of rain that the first city receives per year. Add 123.7 mm of rain received by the first city to 224.8 mm received by the second city. Therefore, total rain received by the first city = 123.7 + 224.8 = 348.5 mm

Step 2: Divide the total amount of rain by the number of years (since the average is taken annually).Therefore, the amount of rain the first city receives on average each year is:348.5 mm / 1 year = 348.5 mm/ year.

So, the average amount of rainfall that the first city receives is 348.5 mm per year. To get this, you must first find the total rainfall of the first city and then divide it by the number of years. The total rainfall is calculated by adding the rainfall of the second city and the extra rainfall that the first city receives.

The second city receives an average of 224.8 millimeters annually. We can assume that this is the average rainfall that the cities in the area receive, making the problem easier to solve. The first city receives an average of 123.7 mm more rain than the second city, which means that the first city receives 224.8 + 123.7 = 348.5 mm of rain each year.

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Answer:

x=20

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

The constant of proportionality is the slope

m = (y2-y1)/(x2-x1)

   = (3-0)/(5-0)

   =3/5

Answer:

The answer is the 2nd choice

Step-by-step explanation:

Answer: Its number 2

Step-by-step explanation:

Answer:

y=-3x-8

Step-by-step explanation:

that's the answer

Answer:

y = - 3x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (0, - 8)

m = \(\frac{-8-1}{0+3}\) = \(\frac{-9}{3}\) = - 3

The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = - 3x - 8 ← equation of line

_______

\(0.55 \to0.1\)

\( = \frac{55}{100} \to \frac{10}{100} \)

\( = 55\% \to10\%\)

= -45%

The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.

The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (3-6 Conditional Proof)

8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)

This leads us to the conclusion that N implies (O and P).

Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (Conjunctive Simplification)

Therefore, we have derived the conclusion that N implies (O and P).

Complete Question:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. N ⊃ O

2. N ⊃ P / N ⊃ (O • P)

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To find the possible whole centimeter lengths for the third side, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So, we have:

- x + y > z

- x + z > y

- y + z > x

Substituting the given values, we get:

- 6 + 9 > z

- 6 + z > 9

- 9 + z > 6

Simplifying each inequality, we get:

- z < 15

- z > 3

- z > -3

The last inequality is true for any positive value of z, so we can ignore it. The other two inequalities give us a range of possible values for z:

- 4 ≤ z ≤ 14

Since we're looking for whole centimeter lengths, we can count the integers in this range:

- 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14

There are 11 different whole centimeter lengths possible for the third side.

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The Price of the guitar is $ 1418.03

In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. In order to calculate a percentage of a number, multiply it by 100 after dividing it by its whole.

To find the percentage multiply the ratio of the actual value by the total value with 100.          

Here given

Gerardo works in a music store and earns a 6.1% commission on each sale.

Gerardo sells a guitar and earns $86.50  

Here we need to find the Price of the guitar

Since we don't know the price of the guitar

Let's assume that the Price of the guitar is $ x

From the given data,

The commission earned on the guitar = 6.1% of x

=> \(\frac{6.1}{100} \times x\)  

=>  0.061x

Given that

The amount earned by Gerardo on guitar = $86.50  

=> 0.061x = $86.50  

=> x = (86.50)/0.061

=> x = 1418.03

Therefore,

The Price of the guitar is $ 1418.03

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Answer:

1418.03

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;

The standard equation of a line is y = mx+c

m is the slope

c is the intercept

Get the slope;

m = Δy/Δx = y2-y1/x2-x1

m = -10-(-3)/7-6

m = -10+3/1

m = -7

Get the intercept;

Substitute the point (6, -3) and m = -7 into the expression y = mx+c

-3 = -7(6)+c

-3 = -42 + c

c = -3 + 42

c = 39

Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c

y = -7x + 39

Hence the required equation is y = -7x + 39

Answer: $359.95

Step-by-step explanation:

Answer:

he rides his bike 15 miles each morning.

Step-by-step explanation:

90 minutes is an hour and 30

1 hour is 10miles so half of ten is 5 and 5+10 is 15

After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.

Transition diagram:

        LEFT      RIGHT

    |--------->--------|

LEFT |   0.8        0.2   |

    |                   |

RIGHT|   0.1        0.9   |

    |--------->--------|

The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.

Transition matrix:

     |  LEFT   |  RIGHT  |

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

LEFT  |   0.8   |   0.2   |

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

RIGHT |   0.1   |   0.9   |

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

The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.

If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.

Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).

To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]

Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.

To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]

After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.

No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.

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Answer:

0.625

Step-by-step explanation:

1/2(.5+.75)(1)

Answer:

0.25

Step-by-step explanation:

Khan Academy

The Riemann surface visualizes complex functions with multiple values using sheets and branch cuts for continuity and clarity.

(a) w = z^(1/4)The Riemann surface of w = z^(1/4) is constructed in the following manner:

(b) w = √ziTo construct the Riemann surface for w = √zi, the following steps are taken:

(c) w = (z - 1)^(2/5)The following steps are taken to construct the Riemann surface for w = (z - 1)^(2/5):

By designating sheets for each root and creating branch cuts along appropriate intervals, the Riemann surface ensures continuity and clarity in the representation of these functions.

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Answer:

5ft

Step-by-step explanation:

15÷3=5

For three fair six-sided dice, the possible sum of the faces rolled can be any digit from 3 to 18.the number of sums will be greater than 16 and the minimum number greater than 16 is 17.

For instance the minimum sum occurs when all three dices shows 1 (i.e. 1 + 1 + 1 = 3) and the maximum sum occurs when all three dces shows 6 (i.e. 6 + 6 + 6 = 18).

Thus, there are 16 possible sums when three six-sided dice are rolled.

Therefore, from the pigeonhole principle, the minimum number of times you must throw three fair six-sided dice to ensure that the same sum is rolled twice is 16 + 1 = 17 times.

The pigeonhole principle states that if n items are put into m containers, with n > m > 0, then at least one container must contain more than one item.

That is for our case, given that there are 16 possible sums when three six-sided dice is rolled, for there to be two same sums, the number of sums will be greater than 16 and the minimum number greater than 16 is 17.

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Answer:

7 dollars and 50 cents of quarters. That right there equals 30 coins

He has a dollar and thirty cents in dimes and that equals 13 coins

Together that is $8.80. with 43 coins.

Step-by-step explanation:

Answer:

Only the third one is incorrect. First 2 and last 1 are correct.

Answer:

The baristas secret formula beans cost per pound is $19.2.

Step-by-step explanation:

Given is that a barista mixes 12 lb of his secret-formula coffee beans with 15 lb of another bean that sells for $18 per lb.The cost of 1 pound of another bean as -$(15/18) = $(5/6)Assume that 1 pound of secret coffee costs ${x}. So, we can write -x + 5/6 = 20x = 20 - 5/6x = 19.2Therefore, the baristas secret formula beans cost per pound is $19.2.

Answer:

Find 5 rational numbers between 4/5 - and * 3/7

Answer:

13p

Step-by-step explanation:

because the P it have 1 hidden there

12p + 1p = 13p

Answer:

probably B=-8t+40

Step-by-step explanation:

The expression for the remaining charge in the battery will be B = 40 - 8t.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Lucy left her house in the morning, her cell phone battery was partially charged. Lucy's phone lost battery life at a rate of 8% each hour and 3 hours after leaving her house, the battery had 16% remaining battery life.

The initial battery charge in the phone will be calculated as,

Initial charge = ( 3 x 8%) + 16%

Initial charge = 24% + 16%

Initial charge = 40%

The expression for the remaining charge will be written as,

B = 40 - 8t

Therefore, the expression for the remaining charge in the battery will be B = 40 - 8t.

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Using ratios, the sentences are completes as follows:

The ratio between two amounts a and b is given by the division of a by b, as follows:

r = a/b.

Between two amounts b and a, the ratio is given by the division of b by a, as follows:

r = b/a.

This means that the ratio between two amounts is not commutative, meaning that the order of the amounts matters.

A ladybug with 2 eyes and 6 spots, hence the first sentence is given as follows:

There are 6 spots for every 2 eyes. (ratio is the number of eyes for 6 spots).

The number of spots per eye is the ratio of the number of spots and the number of eyes, as follows:

Spots per eye = 6 spots/2 eyes = 3 spots per 1 eye.

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