Answer:
interest money is the amount of money a lender or a financial institution receives for lending out money
below is information related to retained earnings for five independent situations. calculate the answer to each. 1. a company reports an increase in retained earnings of $1,560 and net income of $5,260. what is the amount of dividends? 2. a company reports beginning retained earnings of $2,110, net income of $1,610, and $320 dividends. what is the amount of ending retained earnings? 3. a company reports an increase in retained earnings of $1,420 and dividends of $1,970. what is the amount of net income? 4. a company reports ending retained earnings of $2,400, net income of $580, and dividends of $430. what is the amount of beginning retained earnings? 5. a company reports an increase in retained earnings of $660 and net income of $1,270. what is the amount of dividends?
A dividend is the distribution of a company's earnings to its shareholders and is determined by the company's board of directors. Dividends are often distributed quarterly and may be paid out as cash or in the form of reinvestment in additional stock.
1. For a company that reports an increase in retained earnings of $1,560 and net income of $5,260, the amount of dividends is $3,700 .
2. For a company that reports beginning retained earnings of $2,110, net income of $1,610, and $320 dividends, the amount of ending retained earnings is $3,400.
3. For a company that reports an increase in retained earnings of $1,420 and dividends of $1,970, the amount of net income is $3,390.
4. For a company that reports ending retained earnings of $2,400, net income of $580, and dividends of $430, the amount of beginning retained earnings is $2,250.
5. For a company that reports an increase in retained earnings of $660 and net income of $1,270, the amount of dividends is $610 .
Dividends are a portion of a company's profits paid to its shareholders, while retained earnings are the profits kept by the company after dividends have been paid to shareholders.In each scenario, we can use the formula: Beginning retained earnings + net income - dividends = ending retained earningsWe can rearrange this formula to solve for any variable we need.
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A central angle of a polygon is formed by line segments drawn from the center to two __ vertices.
The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon.
The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon. If you were to draw a line from any two adjacent vertices to the center, they would make the central angle. Because the polygon is regular, all central angles are equal. It does not matter which side you choose.
All central angles would add up to 360° (a full circle), so the measure of the central angle is 360 divided by the number of sides. Or, as a formula:
\(central \ angle = \frac{360}{n}\) degrees
where n is the number of sides
The measure of the central angle thus depends only on the number of sides. The angle depends only on the number of sides, not the size of the polygon. If you change the number of sides, you will see that as the number of sides gets larger, the cenral angle gets smaller.
Therefore, The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon.
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The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon.
The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon. If you were to draw a line from any two adjacent vertices to the center, they would make the central angle. Because the polygon is regular, all central angles are equal. It does not matter which side you choose.
All central angles would add up to 360° (a full circle), so the measure of the central angle is 360 divided by the number of sides. Or, as a formula:
midpoint = \(\frac{360}{9}\)degrees
where n is the number of sides
The measure of the central angle thus depends only on the number of sides. The angle depends only on the number of sides, not the size of the polygon. If you change the number of sides, you will see that as the number of sides gets larger, the cenral angle gets smaller.
Therefore, The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon.
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There are approximately 9.3 x 106 dairy cows in the United States, with each cow producing approximately 2.5 x 10 gallons
of milk each year. How much milk do United States dairy cows produce each year? Write the answer in scientific notation
2.4645×10⁴ gallons of milk do United States dairy cows produce each year.
Why we need scientific notation ?We need scientific notation reason is large number can be written in compact form.
According to the given question There are approximately 9.3 x 106 dairy cows in the United States.
Which is 985.8 cows in the united states.
Also given each cow produces 2.5×10 = 25 gallons of milk per year.
∴ United state cows will produce (985.8×25) gallons of milk each year which is = 24645 gallons of milk per year.
Now 24645 can be represented as 2.4645×10⁴ gallons of milk.
We have raised it to the 4th power of 10 because we have moved the decimal 4 digits before to balance the number and we know that in scientific notation base should be greater than 1 and less than 4 so moving the decimal to some other place is not valid.
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when the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients.T/F
Use the following terms in your answer,
Student question: when the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients. T/F.
What are the criteria for the limit of the function? The answer is: Always be factually accurate, professional, and friendly. Be concise and do not provide extraneous amounts of detail.
When the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients. True. When the degree of the numerator is equal to the degree of the denominator, the limit is equal to the ratio of the coefficients.
This is a basic rule for computing limits of rational functions. To compute the limit of a function when x is approaching a value, substitute x into the function and evaluate it. This is a straightforward approach. It is essential to check whether the limit exists or not. If the limit does not exist, then the function is said to be divergent. If the limit exists, then the function is said to be convergent.
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What is the slope intercept form for y- 32=-77/3(x-7)
Answer:
y = 77/3x + 635/3
Jennifer is taking a quiz and has answered 13 questions so far. if there are 25 questions on Jennifer's test, how many questions does she have left to answer?
Answer:
12 questions left.
Step-by-step explanation:
Question 2 1 pts In a density curve, proportion of data is represented by area above the curve area under the curve: the shape of the curve: intervals of values on the vertical axis_ intervals of values on the horizontal axis. the length of the curve: Question 3 1 pts Which ONE of the following is a correct classification of shapes of density curves? All v Symmetric Uniform Normal All - Nonsymmetric Bell = Normal AIl = Nonsymmetric Symmetric - Normal AII + Bell 7 Symmetric Normal All v Symmetric Bell v Normal All + Uniform Bell 7 Normal
In a density curve, the proportion of data is represented by the area under the curve. So option B is correct.
What is Density curve?The probability that an observation chosen at random falls within a given interval is represented by the area under a density curve, which is a smooth representation of a probability distribution. As a result, the area under the curve between the respective points is proportional to the percentage of data that falls inside a given range.
The area under the curve that directly represents the proportion of data. The intervals of values on the vertical and horizontal axes are used to plot the curve and are important for interpreting the graph, but they do not directly represent the proportion of data. The length of the curve is not relevant for determining the proportion of data, as it can vary depending on the scaling of the graph.
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Need help with similarity here
Answer:
see explanation
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are in proportion.
(a)
\(\frac{PQ}{AB}\) = \(\frac{RS}{CD}\) ( substitute values )
\(\frac{PQ}{6}\) = \(\frac{12}{8}\) ( cross- multiply )
8 × PQ = 72 ( divide both sides by 8 )
PQ = 9 cm
(b)
\(\frac{AD}{PS}\) = \(\frac{CD}{RS}\) ( substitute values )
\(\frac{AD}{10.5}\) = \(\frac{8}{12}\) ( cross- multiply )
12 × AD = 84 ( divide both sides by 12 )
AD = 7 cm
(c)
given 2 similar figures with ratio of sides = a : b , then
ratio of areas = a² : b²
here ratio of sides CD : RS = 8 : 12 = 2 : 3
then ratio of areas = 2² : 3² = 4 : 9
let the area of PQRS be x , then using proportion
\(\frac{4}{48}\) = \(\frac{9}{x}\) ( cross- multiply )
4x = 432 ( divide both sides by 4 )
x = 108
then area of PQRS = 108 cm²
6.8 divided by 34 HELP PLSSSSSS i also need it in step by step because i have to show my work ;) RIGHT ANSWER GETS MARKED BRAINLIST
Answer:
\(\mathrm {\dfrac{1}{5} \; or\; 0.2 \; in \; decimal}\)
Step-by-step explanation:
We are asked to find \(\dfrac{6.4}{34}\)
Multiply numerator and denominator by 10 to convert them to whole numbers
\(\dfrac{6.8}{34} = \dfrac{6.8 \times 10}{34 \times 10} = \dfrac{68}{34 \times 10}\\\\= \dfrac{68}{34} \times \dfrac{1}{10}\\\\= 2 \times \dfrac{1}{10}\\\\= \dfrac{2}{10}\\\\= \dfrac{1}{5}\\\\= 0.2\)
PLEASE HELP!!! Between which two consecutive integers is the value of x?
c). (x/3)^3=124
d). (x/2 -1)^3=25
Please write your answer like
__
THHANK YOU
Answer:
c). 14 < x < 15
d). 7 < x < 8
Step-by-step explanation:
c). (x/3)^3 = 124
Take the cube root of both sides
x/3 = 4.986630952238646
multiply both sides by 3
x = 14.959892856715938
14 < x < 15
-----------------------------
d). (x/2 - 1)^3 = 25
Take the cube root of both sides
x/2 - 1 = 2.924017738212866
Add 1 to both sides
x/2 = 3.924017738212866
multiply both sides by 2
x = 7.848035476425732
7 < x < 8
In the graph to the right, are lines and perpendicular? Explain.
Answer:
The answer is A: No, the lines L1 and L2 are not perpendicular because the product of their slopes does not equal -1.
This circle has a circumference of 40 centimeters.
Calculate its diameter
Answer:
d≈12.73cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for d
d = c/\(\pi\) = 40/\(\pi\) ≈12.7324cm
This is due tomorrow and I need step for step for the question 1 and 3
Answer:
1- 96 cm (squared)
2- 44 ft (squared)
Step-by-step explanation:
Because solving these two solids as wholes would be too dificult, break them into pieces
1: (7*2*3) and (6*3*3)
7*2*3=42
6*3*3=54
Then add: 54+42= 96
*Repeat on other question*
Hope this helps! :)
If a coin is flipped 5 times and heads comes up 2 times, what is the relative frequency of heads coming up?
Answer:
0.40 is your answer
Step-by-step explanation:
0 .40 is your answer
On Sunday Paul earns 20 cents for every newspaper he delivers if Paul receives $6.40 then how many newspapers did he deliver on Sunday
Answer:
32 newspapers
Step-by-step explanation:
6.4 / 0.2 = 32
Answer:
32 papers
Step-by-step explanation:
Take the total amount and divide by .20
6.40 / .20
Multiply the top and bottom by 10
64/2
32
please somebody help me with this
Answer:
Step-by-step explanation:
Where it says x in the first column insert that number into the eqaution up top.
So the first would be y=4(-2)+1=
Each bow required 34 3 4 foot of ribbon. She used the following steps to find the number of bows she could make with the ribbon. Step 1: 1012÷34 10 1 2 ÷ 3 4 Step 2: 212÷34 21 2 ÷ 3 4 Step 3: ? Step 4: 846 84 6 Step 5: 14 14 Which expression best represents the expression Marie should have used in Step 3?
An expression which best represents the expression Marie should have used in Step 3 include the following: C. 21/2 × 4/3.
How to determine the missing step?Since Marie had 10 1/2 of ribbon to make bows and each bow required 3/4 of ribbon, the number of bows she could make with the ribbon can be determined by dividing the total number of ribbons by the length required by each bow.
This ultimately implies that, all of the steps that best represents the expression Marie should have used are as follows;
Step 1: 10 1/2 ÷ 3/4
By converting the mixed fraction into an improper fraction, we have the following:
Step 2: 21/2 ÷ 3/4
Rewriting the expression as a function of multiplication, we have the following:
Step 3: 21/2 × 4/3
Step 4: 84/6
Step 5: 14 bows.
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ABC Game store sells new games, n, for $19 and used games, u, for $9. The store earned $7500 in revenue last month. The store sold 4 times as many used games as new games. Write a system of equations that represents this scenario.
Answer:
19n+9u=7500 and 4u-n
Step-by-step explanation:
is y = -3(2)^x a exponential growth or decay
Will Give Brainlest!!!!!!!!
Answer:
i thithink itsits growth
Step-by-step explanation:
Use Annual Cost Analysis to determine whether Alternative A or B should be chosen. The analysis period is 5 years. Assume an interest rate of 6% per year, compounded annually
Alternative A
Alternative B
Initial Cost 2800
6830
Annual Benefit 500
1120
Salvage Value 360
895
Useful Life (yrs) 5
5
Based on the Annual Cost Analysis, Alternative A should be chosen as it has a lower present worth than Alternative B over a 5-year analysis period with a 6% interest rate.
To determine whether Alternative A or B should be chosen using Annual Cost Analysis, we need to compare the annual costs of both alternatives over the analysis period of 5 years. The alternative with the lower annual cost should be chosen.
Let's calculate the annual cost for each alternative:
For Alternative A:
Annual Cost = Initial Cost - Salvage Value + Annual Benefit
Annual Cost = 2800 - 360 + 500
Annual Cost = 2940
For Alternative B:
Annual Cost = Initial Cost - Salvage Value + Annual Benefit
Annual Cost = 6830 - 895 + 1120
Annual Cost = 7055
Now, let's consider the interest rate of 6% per year, compounded annually, to calculate the Present Worth (PW) of each alternative. The PW is the sum of the present values of all cash flows over the analysis period.
For Alternative A:
PW(A) = Annual Cost × (1 - \((1 + interest rate)^{(-useful life)\)) / interest rate
PW(A) = 2940 × (1 - \((1 + 0.06)^{(-5)\)) / 0.06
PW(A) = 2940 × (1 - 0.747258) / 0.06
PW(A) = 1052.23
For Alternative B:
PW(B) = Annual Cost × (1 - \((1 + interest rate)^{(-useful life)\)) / interest rate
PW(B) = 7055 × (1 - \((1 + 0.06)^{(-5)\)) / 0.06
PW(B) = 7055 × (1 - 0.747258) / 0.06
PW(B) = 2526.38
Comparing the present worth of both alternatives, we can see that PW(A) = 1052.23 and PW(B) = 2526.38. Since PW(A) is lower than PW(B), Alternative A should be chosen based on the Annual Cost Analysis.
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Simplify
3(2x-3)
please answer!!
Answer:
6x - 9
Step-by-step explanation:
We can use the distributive property to solve.
3(2x - 3)
(3 * 2x) + (3 * -3)
6x - 9
Best of Luck!
3(2x-3)
Multiplying each term in the parentheses by 3
3×2x-3x-3
calculate the product
6x-3×3
multiply the number
6x-9
At the grocery store, 6 pints of ice cream cost $14.40. How much would 40 pints of ice cream cost?
Answer:
$96
Step-by-step explanation:
14.40 / 6 = $2.40
$2.40 x 40 =
$96
Hope that helps!
The solution is $ 96
The cost of 40 pints of ice cream is given by the equation A = $ 96
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of 40 pints of ice cream be A
Now , the equation will be
The cost of 6 pints of ice cream = $ 14.40
So , the cost of 1 pint of ice cream = cost of 6 pints of ice cream / 6
Substituting the values in the equation , we get
The cost of 1 pint of ice cream = 14.40 / 6
The cost of 1 pint of ice cream = $ 2.40
Now ,
The cost of 40 pints of ice cream A = 40 x cost of 1 pint of ice cream
Substituting the values in the equation , we get
The cost of 40 pints of ice cream A = 40 x 2.40
The cost of 40 pints of ice cream A = $ 96
Therefore , the value of A is $ 96
Hence , the cost is $ 96
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Write a paragraph that explains how the Sumerians were different from other people of their time.
Your paragraph must include a topic sentence, at least two support sentences, and a conclusion
sentence that restates but does not repeat the topic sentence.
The Sumerians were different from other people of their time as they wee more advanced.
Who were the Sumerians?The Sumerians were a southern Mesopotamian people whose civilisation flourished between approximately 4100 and 1750 BCE. Sumer was an ancient civilization that flourished in the Fertile Crescent region of Mesopotamia, between the Tigris and Euphrates rivers. Sumerians are regarded as the creators of civilisation as we know it today, according to their advancements in language, governance, building, and other fields.
They were able to take technologies produced elsewhere and use them on a far larger scale. This allowed them to mass-produce commodities such as textiles and pottery, which they could subsequently trade with others.
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Which information would most likely cause a company's stock price to go down?
Answer:
Information about a Higher-Up Scandal
Step-by-step explanation:
There were no extra diagrams or problems, but using logic, a scandal involving a higher-up would cause a company's stock price to go down the most.
the unit value of a cubic centimeter is the same as which metric measurement?
Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).
This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.
This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.
The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.
The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.
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PLEASE HELL AND CHECK OUT
Answer:
so every 6 cups there you can make 96 cookies
Step-by-step explanation:
given that kw for water is 2.4×10−14 at 37 ∘c, calculate the ph of a neutral aqueous solution at 37 ∘c, which is the normal human body temperature.
6.81 is the Ph of a neutral aqueous solution.
To calculate the pH of a neutral aqueous solution at 37°C with a KW of 2.4×10⁻¹⁴, follow these steps:
1. Identify that in a neutral aqueous solution, the concentrations of hydrogen ions (H⁺) and hydroxide ions (OH⁻) are equal. Therefore, [H⁺] = [OH⁻].
2. Use the KW expression, which is the product of [H⁺] and [OH⁻] concentrations. In this case, KW = 2.4×10⁻¹⁴.
3. Since [H⁺] = [OH⁻], you can rewrite the KW expression as KW = [H⁺]². Now, solve for [H⁺] by taking the square root of KW: [H⁺] = sqrt(KW) = sqrt(2.4×10⁻¹⁴).
4. Calculate the square root: [H⁺] ≈ 1.55×10⁻⁷ M.
5. Use the pH formula: pH = -log[H⁺]. Plug in the [H⁺] value: pH = -log(1.55×10⁻⁷).
6. Calculate the pH: pH ≈ 6.81.
The pH of a neutral aqueous solution at 37°C with a KW of 2.4×10⁻¹⁴ is approximately 6.81.
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Given a triangle with coordinates at A(2, 3), B(8, 3), and
C(5, 6) classify the triangle as obtuse/acute/right and
scalene/isosceles/equilateral.
Use the sketch to show your thinking.
(Select all that apply.
Right
Acute
Obtuse
Isoceles
Equilateral
The triangle is Isosceles and Acute.
From the given data, the coordinates of the three points of the triangle are, A(2, 3), B(8, 3), and C(5, 6).
applying the distance formula, D = √((x2-x1)²+(y2-y1)²) the distance AC and BC are obtained as 3√2 and the distance AB as 2√3.
From this, it can be concluded that AC=BC≠AB.
thus since two of the sides, AC and BC are equal and the third side AB is not equal to AC and BC hence the given triangle is an isosceles triangle.
To check whether the given triangle is right, acute.
A right triangle is a triangle with one of its angles equal to 90 degrees.
An acute triangle is a triangle with all three of its angles less than 90 degrees.
An obtuse triangle is a triangle with at least one of its angles greater than 90 degrees.
To check whether the given triangle is right, acute, or obtuse we use the law of cosines.
To find the angle of a triangle given 3 of its sides, let the angle between the sides AB and AC be A then,
cos(A) = (AC² + AB² − BC²)÷(2×AB×AC).
cos(A) = (3√2² + 2√3² - 3√2²)÷(2×2√3×3√2) =2÷√6
\(cos^{-1}\)(2÷√6) = 39.182.
Let the angle between the sides AB and BC be B then,
cos(B) = (BC² + AB² − AC²)÷(2×AB×BC).
cos(B) = (3√2² + 2√3² - 3√2²)÷(2×2√3×3√2) =2÷√6
\(cos^{-1}\)(2÷√6) = 39.182.
Let the angle between the sides AC and BC be then,
cos(C) = (AC² + BC² − AB²)÷(2×AC×BC).
cos(C) = (3√2² + 3√2² - 2√3²)÷(2×3√2×3√2) =2÷3
\(cos^{-1}\)(2÷3) = 53.544.
Since all the angles A, B, and C is less than 90 degrees the triangle is acute.
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A rope 24m long is divided into three pieces in a ratio 1:2:5. The length of the shortest piece in
metre is
Answer:
3 m
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 5 = 8 parts
Divide the length by 8 to find the value of one part of the rope
24 m ÷ 8 = 3 m ← value of 1 part of the ratio
Thus the shortest piece is 3 m
The required length of the shortest piece is 3 meters.
Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
let the required proportion is equal to x,
then,
x + 2x + 5x = 24
8x = 24
x = 3
Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter
Thus, the required length of the shortest piece is 3 meters.
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Two airplanes leave an airport at the same time. The first flies 110 km/h in a direction of 280°. The second flies 250 km/h in a direction of 200° After 4hr. how far apart are the planes?
The distance between the two planes after 4 hours is approximately 150 km.
to find out how far apart the planes are after 4 hours, we can use the concept of vectors.
Let's start by finding the positions of the two planes after 4 hours.
The first plane flies at a speed of 110 km/h in a direction of 280°. To find its position after 4 hours, we can use the formula: distance = speed × time. So, the distance traveled by the first plane is 110 km/h × 4 hours = 440 km.
To determine the position of the first plane, we need to convert the direction (280°) into components. The x-component is given by: cos(280°) × distance = cos(280°) × 440 km. The y-component is given by: sin(280°) × distance = sin(280°) × 440 km.
Similarly, for the second plane, which flies at a speed of 250 km/h in a direction of 200°, the distance traveled after 4 hours is 250 km/h × 4 hours = 1000 km. To determine its position, we need to convert the direction (200°) into components. The x-component is given by: cos(200°) × distance = cos(200°) × 1000 km. The y-component is given by: sin(200°) × distance = sin(200°) × 1000 km.
Now, let's calculate the x and y components for both planes:
For the first plane:
x-component = cos(280°) × 440 km
y-component = sin(280°) × 440 km
For the second plane:
x-component = cos(200°) × 1000 km
y-component = sin(200°) × 1000 km
the distance between the two planes, we can use the distance formula, which is given by: distance = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the positions of the first and second planes respectively.
Now, substitute the values we calculated into the distance formula:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
distance = √((cos(200°) × 1000 km - cos(280°) × 440 km)^2 + (sin(200°) × 1000 km - sin(280°) × 440 km)^2)
After evaluating the above expression, the distance between the two planes after 4 hours is approximately 150 km.
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