Two people are standing in a field. One person is flying a kite with a string that is
300 ft long. When the kite is directly above the second person, the cosine value of
the angle made by the string and the ground is :
How far apart are the two people?

Answer:

0.36582

Step-by-step explanation:

(a×b)

= (1.34×0.273)

= 0.36582

Equation of a line

The equation of a line in point-slope form is:

Profit fall in one year = 116.8$

What is profit?

In accounting, a profit is an income that is given to the owner throughout a successful market producing process. Profitability, which is the owner's primary interest in the income-formation process of market production, is measured by profit. There are several profit metrics that are frequently used.

Let cost price = C

And selling price before reducing = S

Profit for 1 day = S-C

Now, After reducing selling price to = S-0.32

Profit= S - 0.32 - C for 1 day

Profit fall by = (S-C)-(S - 0.32 - C)

                     = S - C - S + 0.32 + C

Profit fall by = 0.32 for 1 day

Profit fall by one year = 0.32×365

                                    = 116.8$

Learn more about profit link below.

https://brainly.com/question/1078746

#SPJ4

Answer:

"Unary Association" I believe

Answer: B

Step-by-step explanation:

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

To know more about shorthand, refer here:
https://brainly.com/question/31301365
#SPJ11

Answer:-12

Step-by-step explanation:

Add 10+14 to get 24 then divide it by a negative 2 to get -12

Answer:

x = ±2

Step-by-step explanation:

x^2 – 14 = –10

Add 14 to each side

x^2 – 14+14 = –10+14

x^2 = 4

Take the square root of each side

sqrt(x^2) = ±sqrt(4)

x = ±2

Check the picture below.

The maximum value of z, subject to the given constraints, is 239943.

To solve the given problem using the two-stage method, we'll break it down into two stages: Stage 1 and Stage 2.

Stage 1:

The first stage involves solving the following optimization problem:

Maximize: z = Maximize x₁ + x₂

Subject to:

x₁ ≤ 20

x₂ ≤ 20

Stage 2:

In the second stage, we'll introduce the additional constraints and objective function from the given equation:

Maximize: z = 2 × 3x₄ - 4x₂ + 4xy₁₂ + 598 × x₁ × x₂ + x₂ + 263

Subject to:

x₁ ≤ 20

x₂ ≤ 20

x₃ = x₁ × x₂

x₄ = x₂ × 263

x₅ = x₁ ×x₂ + x₂

Now, let's solve these stages one by one.

Stage 1:

Since there are no additional constraints in Stage 1, the maximum value of x₁ and x₂ will be 20 each.

Stage 2:

We can substitute the maximum values of x₁ and x₂ (both equal to 20) in the equations:

z = 2 × 3x₄ - 4x₂ + 4xy₁₂ + 598 × x₁ × x₂ + x₂ + 263

Replacing x₁ with 20 and x₂ with 20:

z = 2 × 3x₄ - 4 × 20 + 4 × 20 × y₁₂ + 598 × 20 × 20 + 20 + 263

Simplifying the equation:

z = 2 × 3x₄ - 80 + 80× y₁₂ + 598 × 400 + 20 + 263

z = 2 × 3x₄ + 80 × y₁₂ + 239743

Since we don't have any constraints related to x₄ and y₁₂, their values can be chosen arbitrarily.

Therefore, the maximum value of z will be achieved when we choose the largest possible values for 3x₄ and y₁₂:

z = 2 × 3 × (20) + 80 × 1 + 239743

z = 120 + 80 + 239743

z = 239943

Hence, the maximum value of z, subject to the given constraints, is 239943.

Learn more about equation here:

https://brainly.com/question/29514785

#SPJ11

Answer:

Square root of 77.44 = height and length of gray squares = 8.8 cm

Since there are 3 squares that make up the height of that object 8.8 cm * 3 =

26.4 cm (the height of  3 gray squares

Square root of 4.84 = 2.2 cm

So the total height = 26.4 + 2.2 = 28.6 cm

Step-by-step explanation:

Answer: The magical answer is 50

Step-by-step explanation: add

Answer:

\(\frac{3}{10}x\)

Step-by-step explanation:

Here we use the slope formula:

\(\frac{y2 - y1}{x2 - x1} = slope\)

y2 = 25

y1 = 10

x2 = 90

x1 = 40

Let's plug all of this into the equation:

Therefore, the slope is \(\frac{3}{10}x\)

Hope this helps!!

- Kay

Answer:

the answer should be A) 12

Step-by-step explanation:

54 ÷ 3^2 × 2

54 ÷ (3 × 3) × 2

54 ÷ 9 × 2

6 × 2

12

The probability that four or less adults exercise regularly out of 11 randomly selected adults is approximately 0.9824.

This problem can be solved using the binomial distribution, since we are interested in the probability of a certain number of successes (adults who exercise regularly) in a fixed number of trials (selecting 11 adults randomly).

Let X be the number of adults who exercise regularly out of 11. Then X has a binomial distribution with parameters n = 11 and p = 0.25, since the probability of success (an adult who exercises regularly) is 0.25.

We want to find the probability that four or less adults exercise regularly, which is equivalent to finding the probability of X ≤ 4. We can use the binomial cumulative distribution function to calculate this probability:

P(X ≤ 4) = Σ P(X = k), for k = 0, 1, 2, 3, 4

Using a calculator, spreadsheet software, or a binomial probability table, we can find the probabilities for each value of k, and then add them up to get the cumulative probability:

P(X = 0) = (11 choose 0) * (0.25)^0 * (0.75)^11 = 0.0563

P(X = 1) = (11 choose 1) * (0.25)^1 * (0.75)^10 = 0.2015

P(X = 2) = (11 choose 2) * (0.25)^2 * (0.75)^9 = 0.3159

P(X = 3) = (11 choose 3) * (0.25)^3 * (0.75)^8 = 0.2747

P(X = 4) = (11 choose 4) * (0.25)^4 * (0.75)^7 = 0.1340

P(X ≤ 4) = 0.0563 + 0.2015 + 0.3159 + 0.2747 + 0.1340 = 0.9824

Therefore, the probability that four or less adults exercise regularly out of 11 randomly selected adults is approximately 0.9824.

Learn more about " binomial distribution" : https://brainly.com/question/15246027

#SPJ11

Answer:

4 14/15

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

The adjacent angles form a complementary angle.

The property of such angles is their sum is equal to 90 degrees.

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

===========================================================

Explanation:

Angle 3 and the 100 degree angle are corresponding angles. They are both in the southeast quadrant of their four-corner angle configuration. Assuming the lines that look horizontal are parallel, this would mean angle 3 is 100 degrees. Recall that corresponding angles are congruent when we have parallel lines.

Once we know that angle 3 = 100, we will use this to find angle 4.

Angles 3 and 4 add to 180. They form a straight angle or straight line.

(angle3)+(angle4) = 180

(100) + (angle4) = 180

angle4 = 180-100

angle4 = 80 degrees

The expected value for the given Five possibilities is $6.

We have,

Payoffs of $2, $4, $6, $8, and $10.

Now,

We know that,

The expected value  \(=\Sigma (x*P(x))\)

i.e. The sum of product of possible outcome and each outcome.

Here, x = Each outcome

And

P(x) = Possible outcomes

So,

Probability of x (Px) \(=\frac{1}{5}\),

Now,

According to the above mentioned formula,

i.e.

The expected value  \(=\Sigma (x*P(x))\)

We get,

\(=\Sigma\ (\frac{1}{5} * 2) + (\frac{1}{5} * 4) + (\frac{1}{5} * 6) +(\frac{1}{5} * 8) +(\frac{1}{5} * 10)\)

On solving we get,

\(=\Sigma\ (0.4 + 0.8 + 1.2 + 1.6 + 2)\)

i.e.

The expected value = $6

So,

The expected value for given possibilities is $6.

Hence we can say that the expected value for the given Five possibilities is $6.

Learn more about expected value here

https://brainly.com/question/17324165

#SPJ4

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 1200}}{\left( \cfrac{30}{100} \right)1200}\implies 360~\hfill \underset{\textit{Jacob's apartment} }{\stackrel{1200~~ - ~~360 }{\text{\LARGE 840}}}\)

The equivalent logarithmic expression is given as follows:

\(\ln{(a^b)} = b\ln{a}\)

The logarithmic expression in this problem is given as follows:

\(\ln{(a^b)}\)

The ln term means that we have the natural logarithm of the number, that is, the logarithm of base e.

For the logarithm of base e, we apply the standard logarithm rules, in this case the power rule, meaning that the power of the term can multiply the logarithmic expression as follows:

\(\ln{(a^b)} = b\ln{a}\)

More can be learned about logarithms at https://brainly.com/question/28041634

#SPJ1

Answer:

the graph of x²

Step-by-step explanation:

The graph of x² has a vertex with coordinates (0,0)

The graph of an absolute value is always equal to or greater than zero and can never be negative.

We define the absolute value function f: R→R as:

f(x) = |x|

The absolute value function is also named the modulus function.

An alternative form to express the function is

|x| = -x if x ≤ 0 and x if x ≥ 0

The absolute value function is defined for all real numbers.

For x≥0, f(x) returns the same value, that is, x.

For x<0, f(x) returns the negative of the value of x.

So, we arrive at the conclusion that the domain and range of absolute value function are R and [0, ∞).

To know more about absolute value function, here

https://brainly.com/question/14364803

#SPJ4

In order to determine if there is inconsistency, the data collected from the three instructors would need to be compared and analyzed. Without further information or analysis, it is difficult to determine if there is inconsistency in the grading.

To answer your question, we first need to analyze the data provided for the grade distribution of the three instructors. Unfortunately, you haven't provided any data in your question. However, I can guide you through the process of assessing consistency using the given terms: conducted, assess, and consistency.

Step 1: The university conducted a study on the grade distribution of a multi-section basic statistics course taught by three instructors.

Step 2: To assess consistency in grading, we need to compare the grade distributions of the three instructors. You can use a variety of statistical methods to make this comparison, such as descriptive statistics (e.g., mean, median, and standard deviation), visual representations (e.g., boxplots or histograms), or inferential statistics (e.g., ANOVA or chi-square tests).

Step 3: After analyzing the data, you can determine whether there is any inconsistency in grading among the three instructors. If the grade distributions are similar, it suggests consistency in grading. However, if the distributions differ significantly, it may indicate grading inconsistency.

Remember, to provide a specific answer, we would need the actual data on grade distribution for the three instructors. Once you have that data, you can follow the steps mentioned above to assess the consistency of grading in the course.

to learn more about histograms click here:

brainly.com/question/16819077

#SPJ11

Answer:

1. UW // TX

2. VX // UY

3. UW ≅ TY ≅ YX

4. YW = \(\frac{1}{2}\) TV

5. TX = 2 UW

6. ∠TXV ≅∠WUY

Step-by-step explanation:

The line segment joining the midpoint of two sides of a triangle is parallel to the third side and equal to half its length

In Δ XVT

∵ U is the midpoint of VT

∵ W is the midpoint of VX

∵ XT is the 3rd side of the triangle

→ By using the rule above

∴ UW // TX ⇒ (1)

∴ UW = \(\frac{1}{2}\) TX

→ Multiply both sides by 2

∴ 2 UW = TX

∴ TX = 2 UW ⇒ (5)

∵ Y is the midpoint of TX

∴ TY = YX = \(\frac{1}{2}\) TX

∵ UW = \(\frac{1}{2}\) TX

∴ UW ≅ TY ≅ YX ⇒ (3)

∵ U is the midpoint of VT

∵ Y is the midpoint of XT

∵ VX is the 3rd side of the triangle

→ By using the rule above

∴ UY // VX

∴ VX // UY ⇒ (2)

∴ UY = \(\frac{1}{2}\) VX

∵ W is the midpoint of VX

∵ Y is the midpoint of XT

∵ TV is the 3rd side of the triangle

→ By using the rule above

∴ YW // TV

∴ YW = \(\frac{1}{2}\) TV ⇒ (4)

∵ 2 Δs UYW and XVT

∵ UY = \(\frac{1}{2}\) XV

∵ YW = \(\frac{1}{2}\) VT

∵ WU = \(\frac{1}{2}\) TX

∴ \(\frac{UY}{XV}\) = \(\frac{UW}{VT}\) = \(\frac{WU}{TX}\) = \(\frac{1}{2}\)

→ By using the SSS postulate of similarity

∴ ∠TXV ≅∠WUY ⇒ (6)

The final answer is 24,024

In the given statement is :

If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5

To find the how many divisions are possible

Let us understand the:

What do you mean by Permutation?

A Permutation is an act of arranging the objects or number in order.

Formula of Permutation :

The formula for Permutations is : n P r = n! / (n - r)!

n p r = n! /(n-r)!

14 P 4 = 14 ! / (14-4)!

= 14 × 13 × 12 × 11 x 10! / 10!

= 14 × 13 × 12 × 11

= 24,024
Hence, The answer is 254,024

Learn more about Permutation at:

https://brainly.com/question/14471352

#SPJ4