17 The area of the trapezoid below is 420 cm'. Find the height. Round to the nearest tenth if the answer is in decimal form. cm cm cm
Answers
We can draw the trapezoid as follows
Recall that the area of a trapezoid of the shape
Is given by the formula
\(\frac{(B+b)\cdot h}{2}\)In our case, we have b=1/5, B = 2/7 and the area is 17/420. So we have the following equation
\(\frac{17}{420}=\frac{(\frac{2}{7}+\frac{1}{5})\cdot h}{2}\)so we need to solve this equation for h.
We start by solving this operation
\(\frac{2}{7}+\frac{1}{5}\)Recall that given two fractions a/b and c/d we have
\(\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+c\cdot b}{b\cdot d}\)Taking a=2, b=7, c=1 and d=5, we get
\(\frac{2}{7}+\frac{1}{5}=\frac{2\cdot5+1\cdot7}{7\cdot5}=\frac{17}{35}\)So we have the equation
\(\frac{17}{420}=\frac{\frac{17}{35}\cdot h}{2}\)Now, recall that givens numbers a,b,c where b and c are not zero, we have that
\(\frac{\frac{a}{b}}{c}=\frac{a}{b\cdot c}\)In our case, lets take a=17, b=35 and c=2. So we have
\(\frac{\frac{17}{35}}{2}=\frac{17}{35\cdot2}=\frac{17}{70}\)So we have the equation
\(\frac{17}{420}=\frac{17}{70}\cdot h\)We can divide both sides by 17, so we get
\(\frac{1}{420}=\frac{h}{70}\)So if we multiply both sides by 70, we get
\(h=\frac{70}{420}=\frac{7}{42}=\frac{1}{6}\)So the height of the trapezoid is h=1/6 cm.
Related Questions
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40? (1 point)
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be? (1 point)
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work. (1 point)
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40? (1 point)
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be? (2 points)
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work. (2 points)
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense. (2 points)
Answers
The solution is given below.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
now, we get,
1. Divide both sides by 2
2(x+14) = 40
x+14 = 20
2. Isolate the x term by subtracting 14 from both sides
3. x = 6. The width of the triangle is 6 cm.
4. Isolate the x term by subtracting 28 from both sides
2x + 28 = 40
2x = 12
5. Divide both sides by 2
6. x = 6
7. The two equations have the same solution, because by the distributive rule, 2(x+14) = 2x+28.
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Mrs. Jasmine bought 6 kilograms of rice.After filling 10 containers with the same amount of rice in each, she had 860 grams remaining. How much rice, in grams, is in each of the 10 containers?
Answers
Answer:514 grams of rice is in each of the 10 containers
Step-by-step explanation:
Amount of rice bought =6 kilograms of rice.
6 kilograms =6000grams
Amount of rice reaming after filling 10 containers =860g
Amount used to fill up the containers ==6000grams-860grams =5140 grams
To get the amount filled inside the 10 containers since same amount is in each, we divide by 10
5140 grams/10=514 grams
50 points!!!
7. Write and solve an inequality for the value of x.
Answers
The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.
What is Triangle inequality theorem?
The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.
We are given three sides of a triangle as 8, 6 and x+20
Using Triangle inequality theorem,
⇒8+6 > x+20
⇒14 > x+20
⇒-6 > x
Also,
⇒x+20+6 > 8
⇒x+26 > 8
⇒x > -18
Also,
⇒x+20+8 > 6
⇒x+28 > 6
⇒x > -22
From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.
This means that x must lie between -18 and -6.
Hence, the value of x must be between -18 and -6.
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What is expanded form 97.6
Answers
Answer:
90 + 7 + .6
Step-by-step explanation:
The expanded form is:
90 + 7 + .6
Hopefully this helps you
pls mark brainlest
Please help!! 50 POINTS!! Explain how you got each answer:
1. What is the growth rate for a country that has a total population of 11,000,000 with 320,000 births and 650,000 deaths?
2. What is the growth rate for a country that has 60,000 births and 50,000 deaths per year along with 20,000 people who immigrate in and 10,000 people who emigrate out? The total population is 20,000,000.
3. Belgium has a growth rate of 0.1% In how many years will it double its population?
4. Libya is doubling its population every 19 years. What is the growth rate?
Answers
Answer:
To find the growth rate for a country with a population of 11,000,000, 320,000 births, and 650,000 deaths, you need to first calculate the natural increase in the population by subtracting the number of deaths from the number of births: 320,000 - 650,000 = -330,000. This means that there are 330,000 more deaths than births in this country.
To calculate the growth rate, you need to divide the natural increase by the total population and multiply by 100 to express the result as a percentage. In this case, the growth rate would be: (-330,000 / 11,000,000) * 100 = -3.0%. This means that the population is decreasing at a rate of 3.0% per year.
To find the growth rate for a country with 60,000 births, 50,000 deaths, 20,000 immigrants, and 10,000 emigrants, you need to first calculate the natural increase in the population by subtracting the number of deaths from the number of births: 60,000 - 50,000 = 10,000. Then, you need to add the number of immigrants to this number to get the total increase in the population: 10,000 + 20,000 = 30,000. Finally, you need to subtract the number of emigrants from this number to get the net increase in the population: 30,000 - 10,000 = 20,000.
To calculate the growth rate, you need to divide the net increase in the population by the total population and multiply by 100 to express the result as a percentage. In this case, the growth rate would be: (20,000 / 20,000,000) * 100 = 0.1%. This means that the population is increasing at a rate of 0.1% per year.
Belgium has a growth rate of 0.1%, which means that its population is increasing by 0.1% per year. To find out how many years it will take for the population to double, you need to divide the growth rate into the number 100. Since 100 / 0.1 = 1000, it will take 1000 years for Belgium's population to double if it continues to grow at a rate of 0.1% per year.
Libya is doubling its population every 19 years, which means that its population is increasing by 100% every 19 years. To find the growth rate, you need to divide the population increase (100%) by the number of years it takes for the population to double (19 years) and multiply by 100 to express the result as a percentage. In this case, the growth rate would be: (100 / 19) * 100 = 5.26%. This means that Libya's population is increasing at a rate of 5.26% per year.
Step-by-step explanation:
Tell whether the set of ordered pairs satisfies an exponential function. Explain your answer: (1 , 6) ; (2 , 18) ; (3 , 54) ; (4 , 162)
Question 8 options:
1. Not an exponential function. As the x-values are increased by a constant amount, the y-values are not multiplied by a constant amount.
2. Not an exponential function. As the x-values are increased by a constant amount, the y-values increase by the same amount.
3. Exponential function. As the x-values are increased by a constant amount, the y-values increase by the same amount.
4. Exponential function. As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.
Answers
The correct option regarding whether the set of pairs represent an exponential function is given by:
4. Exponential function. As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.
What is an exponential function?An exponential function is modeled by:
\(y = ab^x\)
In which:
a is the initial value.b is the rate of change.From this we have that when the input x is increased by a constant amount, the y values are multiplied by a constant amount.
For the set of ordered pairs given in this problem, this is what happens, as when x is changed by 1, y is multiplied by 3, hence the correct option is given by:
4. Exponential function. As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.
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how many solutions would there be for the following systems of equations
y=3x-5
6x-2y=10
Answers
Answer:
So the solution would be (1,-2). Remember you can always validate that the solution is correct by plugging it into both equations. But this is the same as the first equation, y=3x-5. Since they are the SAME line they will have infinite solutions.
Step-by-step explanation:
• Choose a topic from the list below: Argue why Josef Pieper conception of leisure is the best one in modernity, or instead why it might be a limited conception in comparison to another theory of leisure. • Argue why a life is better with leisure today, and why for the classical Greeks, an absence of leisure meant an absence of a happy life. • Argue why John Dewey and modern liberal thinkers did not agree with Aristotle's ideas on education or on leisure generally. • Argue how modern psychological conceptions of happiness and the classical idea of happiness in Aristotle differ. What was the "Greek Leisure Ideal" and how would it manifest today according to Sebastian De Grazia? What happened to it? • Argue why the liberal arts are so important in education and leisure, and explain its Greek origin and how that is received today. • You must choose from this list, but it can be modified slightly if you have an idea you wish to pursue. The main requirement is that you must contrast at least one ancient thinker and one modern one. • The paper must be well researched and contain a minimum of 6 sound academic sources. • Textbook or course readings may be used, but do not count in this total. DETAILS SCALCET8 1.3.039. 0/1 Submissions Used Find f o g o h. f(x) = 3x - 8, g(x) = sin(x), h(x) =x^2
Answers
To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.
The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.
The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.
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ARCHITECTURE Use the best description to classify each triangle: acute, equiangular, obtuse, or right.
1.
2.
3.
de
30
20
90
60
125
30°
2)
1)
3)
Answers
Answer:
1) Right Triangle2) Obtuse3) EquiangularStep-by-step explanation:
A right angle triangle is a triangle with an angle that measures 90°
An obtuse angle triangle is a triangle with an angle that measures more than 90°
An equiangular triangle is a triangle with all three angles measuring the same. Thus called 'equi' as in equal and angular meaning angle.
EXTRA INFO:
An acute angle is an angle that measures less than 90°
The diameter of a cylindrical construction pipe is 4ft If the pipe is 17ft long, what is its volume? Use the value 3.14 for /pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answers
Answer:
214 ft^3
Step-by-step explanation:
Here, we are asked to calculate the volume of the cylindrical construction pipe.
Mathematically, the volume V
V = pi * r^2 * h
r is radius = diameter/2 = 4/2 = 2 ft
h = 17ft
pi = 3.14
Putting these values, we have;
V = 3.14 * 2^2 * 17 = 213.52 which is 214 ft^3 to the nearest whole number
Answer: shes right
Step-by-step explanation:
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.7 years, and standard deviation of 2 years.
The 3% of items with the shortest lifespan will last less than how many years?
Give your answer to one decimal place.
Answers
Therefore, the 3% of items with the shortest lifespan will last less than approximately 3.9 years.
To find the lifespan at which the 3% of items with the shortest lifespan will last less than, we need to determine the corresponding z-score and then use it to calculate the lifespan value.
The z-score represents the number of standard deviations a data point is from the mean in a normal distribution. We can use the cumulative distribution function (CDF) of the standard normal distribution to find the z-score.
The z-score can be calculated using the formula:
z = (x - μ) / σ
Where:
x = the lifespan value we want to find
μ = the mean lifespan (7.7 years)
σ = the standard deviation (2 years)
To find the z-score that corresponds to the 3rd percentile (since we want the 3% of items with the shortest lifespan), we can use the inverse of the CDF, also known as the percent-point function (PPF). In this case, we want the PPF to give us the value for 0.03 (3%).
Let's calculate the z-score first:
z = PPF(0.03)
Using a programming language or a statistical calculator, we can find that the z-score for a 3% percentile is approximately (-1.881).
Now, we can substitute the values into the z-score formula and solve for x:
(-1.881) = (x - 7.7) / 2
Simplifying the equation:
(-1.881) × 2 = x - 7.7
(-3.762) = x - 7.7
x = 7.7 - 3.762
x ≈ 3.938
Therefore, the 3% of items with the shortest lifespan will last less than approximately 3.9 years.
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Giving Brainlist Please Help!!!! Find the perimeter of the rhombus. Use the Pythagorean Theorem.
Answers
Answer:
Choice D, 20 inches.
Step-by-step explanation:
The Pythaogorean theorem tells us that the hypotenuse of a triangle, c, can be found by taking: c = \(\sqrt{a^{2} +b^{2}}\). In this case, a = 3 and b = 4. So:
c = \(\sqrt{a^{2} + b^{2} }\)
c = \(\sqrt{3^{2} + 4^{2} }\)
c = \(\sqrt{9 + 16}\)
c = \(\sqrt{25}\)
c = 5
The sides of a rhombus are all equal. Given that one side is equal to 5, we can simply multiply 5 by 4 to get 20. The perimeter is 20 inches.
Answer:
D. 20 in
Step-by-step explanation:
Finding the side of the rhombus :
side of the rhombus = √3² + 4²side of the rhombus = √9 + 16side of the rhombus = √25side of the rhombus = 5 inPerimeter :
4 x side length4 x 5 in20 inDuring a walk, walkers discover a car that has fallen to the bottom of a 20m high vertical cliff. It is 10m from the foot of the cliff. The police investigation reveals that the braking marks (perpendicular to the edge) start at 7.5m from the upper (horizontal) edge of the cliff and that the acceleration (braking!) was -5m/s. The chief sergeant concludes an accident. Calculate the speed of the car before the start of braking and the duration of the driver's anxiety (braking & fall).After the calculation, I got t1 from cliff = 2 sec, I got the Vf from the baking = 5m/s, I need to find V0 before baking (using this formula = d=v0t+1/2at^2),
Answers
Given, Height of the cliff = 20 m Distance of the car from the foot of the cliff = 10 m.
The time taken by the car to fall from the cliff can be found using the formula:
\(`h = (1/2) g t^2`\)
Where h is the height of the cliff, g is the acceleration due to gravity and t is the time taken by the car to fall from the cliff.
Substituting the given values,`20 = (1/2) × 9.8 × t^2`
Solving for t, `t = sqrt(20/4.9)` = 2.02 s
Let the initial velocity of the car be V0 and the time taken for the car to come to rest after applying brakes be t1.
Distance covered by the car before coming to rest can be found using the formula: `\(s = V0t1 + (1/2) (-5) t1^2\)`
Where s is the distance covered by the car before coming to rest.
Simplifying the above equation,\(`2.5 = V0 t1 - (5/2) t1^2`\)
Substituting the given values,`5 = V0 - 5 t1`
Solving the above two equations,\(`V0 = 32.5/2 t1`\)
Simplifying the above equation,`V0 = 16.25 t1`
Substituting the value o\(f t1,`V0 = 16.25 × 2` = 32.5 m/s\)
Therefore, the speed of the car before the start of braking is 32.5 m/s.
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Please help problem 8) theorem 8,
Find the measure of the arc of angle indicated
Answers
Step-by-step explanation:
That is an inscribed angle tha intercepts (360 - 264) = 96 DEGREES OF ARC
The angle will be 1/2 of this = 48 degrees
I drive 378 miles in 3.5 hours. How many miles per hour am I driving
Answers
Answer: 108 mph
Step-by-step explanation: 378 divided by 3.5= 108mph
Answer: 108mph
Step-by-step explanation: 378 divided by 3.5= 108mph
Help-PLEASEEEEE I LIKE HAVING MY PHONE PPL
Answers
R.I.P YOUR PHONE!! I'm "learning" this in my online school- Haven't been paying attention at all to anything - SoRrY cHiLdD!
Round 69581.491337 to the nearest thousand
Answers
Answer:
hope this helps:)
Step-by-step explanation:
the thousands place is right before the first comma therefore it is in bold here:
69581.491337
since 5 is \(\geq\) 5 you round 9 up to a 10
once you round, the numbers below it all turn into zeros.
giving the number to be 70,000
hope this helps:)
Answer: Heyaa!~
Your Answer Is... 70,000
Step-by-step explanation:
Hopefully this helps you!~
when you round the numbers below it all turn into zeros.A square pyramid and its net are shown below. What is the surface area of the pyramid?
17 cm
16 cm
Type the answer in the box.
square centimeters
17 cm
16 cm
...15 sm
15 cm.
Answers
Check the picture below.
so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.
\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)
use calculus to find the area a of the triangle with the given vertices. (0, 0), (6, 2), (2, 5)
Answers
By using calculus the area a of the triangle with the given vertices (0, 0), (6, 2), (2, 5) is 8√3.
To calculate the area of a triangle with the given vertices,
we can use Heron's Formula.
This formula states that the area of a triangle is equal to the square root of s(s-a)(s-b)(s-c),
where s is the semi-perimeter and a, b, and c are the sides of the triangle.
We can use the coordinates provided to calculate the lengths of the sides of the triangle and plug them into Heron's Formula to calculate the area.
The length of side a is equal to the distance between the points (0,0) and (6,2), which is equal to 6.
The length of side b is equal to the distance between the points (6,2) and (2,5), which is equal to 5.
The length of side c is equal to the distance between the points (2,5) and (0,0), which is equal to 5.
Now that we have the lengths of the sides,
we can plug them into Heron's Formula.
The semi-perimeter (s) of the triangle is equal to (6+5+5)/2, which is equal to 8.
Thus, the area of the triangle is equal to the square root of 8(8-6)(8-5)(8-5), which is equal to 8√3.
Therefore, the area of the triangle is 8√3.
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Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is z, and Y Z is x.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer.
2.7 units
3.2 units
4.5 units
5.3 units
Answers
Answer:
3.2 units
Step-by-step explanation:
Use the law of sines
z/sin 76 = 2.6/sin 51
z = 2.6 sin 76/sin 51 = 3.2
Which expression is a factor of x² + 3x - 40?
A. (x-4)
B. (x - 5)
C. (x-8)
D. (x-10)
Answers
The result is not equal to zero, (x - 10) is not a factor of x² + 3x - 40.
None of the given expressions (A, B, C, D) are factors of x² + 3x - 40.
To determine which expression is a factor of the given quadratic expression, we need to check if substituting the value from each expression into the quadratic expression results in zero. Let's evaluate each option:
A. (x - 4)
Substituting x - 4 into x² + 3x - 40:
(x - 4)² + 3(x - 4) - 40 = x² - 8x + 16 + 3x - 12 - 40 = x² - 5x - 36
Since the result is not equal to zero, (x - 4) is not a factor of x² + 3x - 40.
B. (x - 5)
Substituting x - 5 into x² + 3x - 40:
(x - 5)² + 3(x - 5) - 40 = x² - 10x + 25 + 3x - 15 - 40 = x² - 7x - 30
Since the result is not equal to zero, (x - 5) is not a factor of x² + 3x - 40.
C. (x - 8)
Substituting x - 8 into x² + 3x - 40:
(x - 8)² + 3(x - 8) - 40 = x² - 16x + 64 + 3x - 24 - 40 = x² - 13x
Since the result is not equal to zero, (x - 8) is not a factor of x² + 3x - 40.
D. (x - 10)
Substituting x - 10 into x² + 3x - 40:
(x - 10)² + 3(x - 10) - 40 = x² - 20x + 100 + 3x - 30 - 40 = x² - 17x + 30
Since the result is not equal to zero, (x - 10) is not a factor of x² + 3x - 40.
None of the given expressions (A, B, C, D) are factors of x² + 3x - 40.
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What is the slope of the line?
no slope
1
0
-2
Answers
Answer:
0
Step-by-step explanation:
Cuánto es (5)(-2)(-1)(-8) ayudaaaaaa
Answers
Answer:
que
Step-by-step explanation:
no Tengo carnitas yo quero sopes
To which family does the function y= 4x -7 belong?
Answers
The function y= 4x -7 belong to the Linear function.
An equation is linear if it contains no powers of x besides x¹ = x and x⁰ = 1.
linear equation is called linear because it's graph form straight lines. we can describe any line by it's average rate of change, or slope, and it's y- intercept.
These aspects of a line is written in slope- intercept form, if equation of line is written in this form y = mx + b.
Here, in this given equation y= 4x -7. This line has slope 4 and y intercept is point (0, -7).
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please answer my question online schools been hard for me
Answers
Answer:
C.)
Step-by-step explanation:
A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.
Please factorize with working:
Answers
Answer:
(2x+1)(2x-3)(x-2
Step-by-step explanation:
.........
what does the number .05 represent in the following: t(58) = 2.001, p < .05?
Answers
The number 58 represents the Degree of freedom in the equation: t(58)=2.001, p<.05.
Option (c) is the correct choice.
The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the total number of items in the data sample.
A straightforward statistical method may be used to calculate degrees of freedom. It reads as follows: df = N-1 and indicates that degrees of freedom are equal to the number of values in a data collection minus 1. N is the number of values in the data collection, in this case (sample size).
The degrees of freedom, or the number of free data points available in a t-test to compare two groups, are shown in the above t-test by the number 58.
(A T-test is employed in statistics to compare the means of two groups. The t-value, p-value, and degrees of freedom are the values needed for a t test.)
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The complete question may be:
What does the number 58 represent in the following: t(58)=2.001, p<.05?
(a) Test statistic
(b) T-value
(c) Degrees of freedom
(d) Significance level
17. What is the measure of 2ABC?
(3x+33)
B
47+ B)
O 25°
O 75°
O 108°
O 150°
O 100°
Answers
the answer is 100 degrees I got tht answer right
What is the slope of a line parallel to the line whose equation is 6x + 9y = 216.
Fully reduce your answer.
Answers
Answer:
Solve the equation so it is in the y=mx+b form.
Step 1. 6x+9y = 216
Step 2. 9y = -6x+216
Step 3. y = -6/9x+24
Step 4. Simplify/Reduce to get y = -2/3x+24
Since it is Parallel then the slope is the same so the slope is -2/3x.
The slope of line parallel to line with equation → 6x + 9y = 216 is
m = -2/3.
What are Parallel lines?
Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given is a line which is parallel to a line whose equation is 6x + 9y = 216.
We know that the general equation of straight line is -
y = mx + c ... Eq [ 1 ]
where 'm' represents the slope of the line.
The equation of line given -
6x + 9y = 216.
Rearranging it -
9y = - 6x + 216
y = (-6/9)x + (216/9)
y = (-2/3)x + 24 ... Eq [ 2 ]
Comparing Eq[2] with Eq[1], we get -
m = -2/3
Therefore, the slope of the line with equation → 6x + 9y = 216 is -2/3.
Two parallel lines have same slope. Hence, the slope of line parallel to
line with equation → 6x + 9y = 216 is -2/3
Therefore, the slope of line parallel to line with equation →
6x + 9y = 216 is -2/3.
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You are paid $10 per hour. You work 13 hours each week. Your taxes are federal, 10%; FICA, 7.65%; and state, 3%. You also contribute $30 to your company's retirement plan.
If you are paid weekly, how much is your realized income?
Answers
If i paid weekly, I realized my income is $73.155.
Answer:
Solution given;
1 hour =$10
13 hour = 13*10=$130
Taxes
federal :10%
FICA:7.65%
state: 3%
contribute to company: $30
now
My income each week :
$130-10%of $130-7.65% of $130-3% of $130-$30$130-$30-$13-$9.945-$3.9$73.155