At what minimum height above ground level must I place a satellite dish so that at a 30-degree angle, it will be able to "see" the sky over the top of a building that is 40 feet tall and 50 feet away from the dish?
Answers
1st PART:
The satellite dish must be placed at a minimum height of approximately feet above ground level.
the minimum height at which the satellite dish must be placed, we can use trigonometry and the given information about the building's height and distance.
First, we need to calculate the distance from the base of the building to the top, which can be found using the Pythagorean theorem:
distance from base to top = sqrt(50^2 + 40^2) = sqrt(2500 + 1600) = sqrt(4100) ≈ 64.03 feet
Next, we can consider the triangle formed by the building, the satellite dish, and the line of sight to the sky over the building. The angle formed between the line of sight and the ground is 30 degrees.
Using trigonometry, we can calculate the minimum height h above ground level:
tan(30 degrees) = h / (distance from base to top)
tan(30 degrees) = h / 64.03
Solving for h, we have:
h ≈ tan(30 degrees) * 64.03
h ≈ 0.5774 * 64.03
h ≈ 36.92 feet
Therefore, the satellite dish must be placed at a minimum height of approximately 36.92 feet above ground level to have a clear line of sight over the top of the 40-foot-tall building.
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Related Questions
Alex painted 178 ft2 of his apartment’s walls with 13 1 3 gallon of paint. He has 2 gallons of paint in all. If he wants to cover 1,000 ft2 of his apartment, does he have enough paint? Complete a true statement
Answers
From multiplcation operation, Alex has enough paint to cover 1,000 ft² of his apartment. The true statement is 2 gallons of paint will cover 1068 ft², Alex have enough paint of quantity 2 gallons.
We have Mr. Alex painted his apartment. Area of his apartment'walls = 178 ft²
Quantity of paint used by him to paint his apartment'walls with area 178 ft² =\( \frac{1}{3} \: \: gallons\)
Total quantity of paint used in all
= 2 gallons
We have to check the provide paint is enough or not to cover 1,000 ft² of his apartment. Let the required paint for 1000 ft² be x gallons. Using multiplcation, 1/3 gallons quantity of paint will cover the area of apartment = 178 ft², so, 1 gallons quantity of paint will cover the area of apartment = 178 ×3 ft²= 534 ft²
Now, 2 gallons quantity of paint will cover the area of apartment = 2× 534 ft² = 1068 ft²> 1000 ft²
But he wants to paint 1000 ft² of his apartment in 2 gallons quantity (x=1.9 gal ). So, he has enough paint to paint his apartment.
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Complete question:
The above figure complete the question.
Alex painted 178 ft2 of his apartment’s walls with 1/3 gallon of paint. He has 2 gallons of paint in all. If he wants to cover 1,000 ft2 of his apartment, does he have enough paint? Complete a true statement
G varies directly as the square of j and inversely as m. If g=0.05 when j = 0.4 and m=1.6, what is g when j =6 and m=4
Answers
Answer: The value of G = 4.5
Step-by-step explanation:
As per given,
\(G\propto \dfrac{j^2}{m}\)
When we replace proportional sign with an equal to sign, we get
\(G=k\dfrac{j^2}{m}\), where k = constant
If G=0.05 when j = 0.4 and m=1.6, then
\(0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5\)
Now,
\(G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5\)
hence, when j =6 and m=4, the value of G = 4.5
in an article in the journal of management, joseph martocchio studied and estimated the costs of employee absences. based on a sample of 176 blue-collar workers, martocchio estimated that the mean amount of paid time lost during a three-month period was 1.3 days per employee with a standard deviation of 1.4 days. martocchio also estimated that the mean amount of unpaid time lost during a three-month period was 1.1 day per employee with a standard deviation of 1.6 days.
suppose we randomly select a sample of 100 blue-collar workers. based on martocchio
Answers
The probability shows that if the mean μ=1, then only 0.0027 is at least as small as the sample mean x=1.5. This also leads to the conclusion that if we believe that μ = 1, we must also believe that there is a 27 in 10,000 chance that our observed sample mean can be described as such.
To achieve the goal of this task, use the mean μ x and the standard deviation σ x.
The task has two conditions, the first is that the standard deviation σ is 1.3 days and the second is that the standard deviation σ is 1.8 days.
If the standard deviation σ is 1.3, then the mean μ is 1.4. And if the standard deviation is σ 1.8, then the mean is μ₁. In this case, the given standard deviation is μ 1.8, so use the second condition to achieve the task goal.
we know that:
μₓ = μ and σₓ = σ/√n
Given that:
μ = 1, σ = 1.8 and n = 100
So, by the formula of standard deviation σₓ,
σₓ = σ/√n = 1.8/√100
= 0.18
Calculate the probability with the mean μ=1, and standard deviation
σₓ =0.18.
P(x > 1.5) = P(z > 0.5/0.18)
= P( z > 2.78)
Looking at the z table, first, find the units and decimals in the first column of the z table. In this case, search for 2.7 first. Then look in which column the 100th value is placed. In this case, 0.08 and follow the number of lines placed 2.7.
Therefore, the value of 2.78 in table z is 0.9973 because z=0.9973, and the right tail area is 0.0027 or (1−0.9973).
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What is average rate of change Example?
Answers
Average rate of change is a way to measure how a function changes over time.
The average rate of change is the average rate at which something changes over a given period of time. It is calculated by taking the difference between the initial and final values of a variable and dividing it by the amount of time that has elapsed.
For example, if the function y = 2x represents the number of hours of work completed in relation to the number of hours worked, then the average rate of change would represent the average number of hours completed for each hour worked. In this example, the average rate of change would be 2, since 2 hours are completed for each hour worked.
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What is the solution to this system of linear equations?
Answers
Answer: To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations.
Step-by-step explanation: hope this helps
A marine biologist measured one fish that was 9/10 of a foot long and a second fish that was 7/10 of a foot long. How much longer was the first fish?
Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
2/10 of a foot long.
Step-by-step explanation:
Answer:
The first fish was 1/3 of a foot longer.
mark me brainlest
Step-by-step explanation:
1/2=3/6
3/6>1/6
3/6-1/6=2/6
2/6 / 2/2
1/3
1. ¿Cuál de las siguientes expresiones representa el
producto de 9 por x, restado del cociente de 2
entre x?
2
(1) // - 9x
X
2
(2) -9x
(3) 2x(-9x)
(4) 9 - X-
(5) (2 + x) 9x
-
2
-
Answers
Answer:
(2/x) - 9x
Step-by-step explanation:
si una de las respuestas se ve así, elija esa.
simplify: (-4)(-2)(-3)(-1)
Answers
Answer:
-10
Step-by-step explanation:
addition they are all negative so no need to subtract
The radioactive substance uranium240 has a halflife of 14 hoursThe amount of a sample of uranium-240 remaining (in grams) after hours is given by the following exponential function A(i) = 3900 * (1/2) ^ (1/14)
Answers
GIVEN:
We are given the function that models the decay of the substance uranium-240.
\(A(t)=3900(\frac{1}{2})^{\frac{t}{14}}\)Required;
Find the initial amount in the sample
Find the amount remaining after 50 hours.
Step-by-step solution;
What we have here is an exponential function with the variable t denoting the number of hours and A(t) denotes the population after t hours.
To determine the initial amount in the sample, we take t = 0 and solve as follows;
\(\begin{gathered} A(0)=3900(\frac{1}{2})^{\frac{0}{14}} \\ \\ A(0)=3900(\frac{1}{2})^0 \\ \\ A(0)=3900\times1 \\ \\ A(0)=3900 \end{gathered}\)To find the amount remaining after 50 hours;
\(\begin{gathered} A(50)=3900(\frac{1}{2})^{\frac{50}{14}} \\ \\ A(05)=3900(\frac{1}{2})^{3.57142857143} \\ A(50)=3900\times0.0841187620394 \\ \\ A(50)=328.063171954 \\ \end{gathered}\)Rounded to the nearest gram we now have;
\(A(50)=328gms\)Therefore,
ANSWER:
Initial amount in the sample = 3900 grams
Amount after 50 hours = 328 grams
Is this wrong? Or what the answer thank u.
Answers
Answer:
it's 5.5
Step-by-step explanation:
4 4 4 5 5 6 6 6 6 9
you start crossing them off from both ends so
455666
5 6
so you get what is in the middle of those 2
5.5
Answer:
The answer is 5.5
Step-by-step explanation:
To find the median, you must put all the numbers in order from smallest to highest so:
4, 4, 4, 5, 5, 6, 6, 6, 6, 9
Now you pick the middle number. The middle number is the center of the set of data and has equal numbers on both sides.
Unfortunately we have a even number so there is no true center number. We must find the two center numbers and find the average.
The center numbers are 5 and 6.
5 + 6 = 11
11/2 = 5.5
The answer is 5.5
suppose that xt is a poisson process with parameter ).. 1. find e(x1 i x2) and e(x2 i xi).
Answers
To find e(x1 i x2), we use the conditional expectation formula: E(x1 | x2) = λ(x1 ∩ x2)/P(x2), where λ is the Poisson parameter and P(x2) is the probability of event x2 occurring.
Since xt is a Poisson process, we know that the number of events in any interval of length t follows a Poisson distribution with mean λt. Thus, the probability of x2 occurring in an interval of length t is given by P(x2) = e^(-λt)(λt)^x2/x2!.
Now we need to calculate λ(x1 ∩ x2), the expected number of events in the intersection of intervals x1 and x2. Since the Poisson process is memoryless, the events in x1 and x2 are independent and occur at rate λ. Therefore, the expected number of events in x1 ∩ x2 is λt1t2, where t1 and t2 are the lengths of intervals x1 and x2, respectively.
Putting it all together, we get:
E(x1 | x2) = λ(x1 ∩ x2)/P(x2)
= (λt1t2)/(e^(-λt2)(λt2)^x2/x2!)
= x2t1
Similarly, to find E(x2 | x1), we can use the same formula:
E(x2 | x1) = λ(x1 ∩ x2)/P(x1)
= (λt1t2)/(e^(-λt1)(λt1)^x1/x1!)
= x1t2
Therefore, E(x1 | x2) = x2t1 and E(x2 | x1) = x1t2.
Let Xt be a Poisson process with parameter λ. To find E(X1 | X2) and E(X2 | X1), we first need to understand the conditional expectations involved.
1. E(X1 | X2) represents the expected value of X1 given that X2 has occurred. In a Poisson process, the number of events in non-overlapping intervals is independent. Therefore, knowing the number of events in the interval X2 doesn't give any additional information about the events in the interval X1. So, E(X1 | X2) = E(X1), which can be calculated as follows:
E(X1) = λt1, where t1 is the length of the interval X1.
2. Similarly, E(X2 | X1) represents the expected value of X2 given that X1 has occurred. Since the number of events in X1 and X2 are independent, E(X2 | X1) = E(X2):
E(X2) = λt2, where t2 is the length of the interval X2.
In summary, E(X1 | X2) = λt1 and E(X2 | X1) = λt2 for a Poisson process with parameter λ, since the number of events in non-overlapping intervals is independent.
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Triangle BDC is an isosceles triangle. Triangle ACE is a right-angled triangle.
Show that triangle ABC is an equilateral triangle
Please explain and show your answer
Answers
Answer:
plz show the figure clearly
AA I NEED HELP FAST PLEASE
4(p – 6)
Answers
Answer:
4p-24
Step-by-step explanation:
First, you need to use the distributive property, then you get 4p-24.
Was this the answer you were looking for?
.In order to increase the value of the F statistic, which of the following must occur?
a. MSwithin > MSbetween
b. MSwithin = MSbetween
c. MSwithin < MSbetween
d. Ratio = 1
Answers
If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.
How the F statistic is calculated?The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.
So, the answer is:
a. MSwithin > MSbetween
If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.
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the mean wait time for a drive-through chain is 193.2 seconds with a standard deviation of 29.5 seconds. what is the probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds? (write answer round to whole number like 91%).
Answers
The probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds is 94%.
To solve this problem, we can use the Central Limit Theorem, which states that the distribution of sample means is approximately normal for large sample sizes.
First, we need to calculate the standard error of the mean (SEM) using the formula
SEM = standard deviation / sqrt(sample size)
SEM = 29.5 / sqrt(45) = 4.4
Next, we can standardize the sample mean using the formula
z = (x - μ) / SEM
where x is the sample mean, μ is the population mean, and SEM is the standard error of the mean.
For the lower limit, we have
z = (185.7 - 193.2) / 4.4 = -1.70
For the upper limit, we have
z = (206.5 - 193.2) / 4.4 = 3.02
We can use a standard normal distribution table or calculator to find the probabilities associated with these z-scores.
The probability of z being between -1.70 and 3.02 is approximately 0.9429 or 94%. Therefore, the probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds is 94%.
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Which statement about the data represented in the graph appears to be de
A)
100% of employees hold a master's degree.
B)
69% of employees hold a bachelor's degree.
44% of employees hold a bachelor's degree.
D)
31% of employees hold a PhD.
Answers
Answer:
A. 100% of employees hold a master's degree.
Step-by-step explanation:
Sana nakatulong
Please help will give brainliest.
Answers
Answer:
x=(4,0)
y=(0,-6)
Step-by-step explanation:
What is the congressional decision to fund an authorized program with a specific sum of money called? Supply and demand Financing Authorization Appropriation
Answers
The congressional decision to fund an authorized program with a specific sum of money is called an appropriation.Appropriations play a significant role in shaping government spending and implementing policies and programs.
An appropriation refers to the act of setting aside a specific amount of funds by Congress for a particular purpose or program. It is a legislative action that determines the amount of money allocated to support authorized activities or initiatives. When Congress passes an appropriation bill, it authorizes the expenditure of funds for specific programs or agencies. This decision is crucial in the budgeting process, as it determines the financial resources available for various government programs and ensures that authorized activities receive the necessary funding.
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If possible please help! With 12
Answers
Answer:
b
Step-by-step explanation:
y = 1y
1y+0.4y =1.4y
Answer:
b. (1.4y)
Step-by-step explanation:
When a variable has no number next to it, it is always going to be 1 multiplied by the variable. adding 1y and 0.4y would make 1.4y.
Please help me answer the equation of the area of triangles as attached below.
Answers
Answer:15
You multiply 6 and 5. That equals 30 then divide the 30 by 2 and that equals 15
Pentagon ABCDE and Pentagon A''B''C'D''E are shown on the coordinate plane below.
which two transformations are applied to Pentagon ABCDE to create A"B"C"D"E"?
A) Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis
B) Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the x-axis
C) Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis
D) Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis
Answers
Answer:
D) Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.
If a point X(x, y) is translated a units right and b units down, it new location is X'(x + a, y + b)
If a point X(x, y) is reflected across x axis, it new location is X'(x, -y)
Pentagon ABCDE is at A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), E(-2, 4) while pentagon A"B"C"D"E" is at A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), E"(6, -6)
If pentagon ABCDE is Translated according to the rule (x, y) → (x + 8, y + 2), the new points would be A'(4, 7), B'(2, 6), C'(3, 3), D'(6, 4), E'(6, 6). If a reflection across the x axis is the done, the new points are A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), E"(6, -6)
R^{2} w^{\prime \prime}(r)-r w^{\prime}(r)=\frac{1}{2} w^{2}(r)+\frac{1}{2} \lambda r^{4}
Answers
The solution to the given differential equation involves solving for the values of m and plugging them into the equation w(r) = r^m.
The given equation is a second-order linear homogeneous ordinary differential equation. To solve it, we can follow these steps:
Step 1: Rewrite the equation in standard form.
R^2w''(r) - rw'(r) - 1/2w^2(r) = -1/2λr^4
Step 2: Substitute w(r) = r^m into the equation.
R^2m(m-1)r^(m-2) - mrr^(m-1) - 1/2r^2r^2m = -1/2λr^4
Step 3: Simplify the equation.
R^2m(m-1)r^(m-2) - mrr^m - 1/2r^(2m+2) = -1/2λr^4
Step 4: Combine like terms.
R^2m(m-1)r^(m-2) - mrr^m - 1/2r^(2m+2) + 1/2λr^4 = 0
Step 5: Set the coefficient of each power of r to zero.
R^2m(m-1) - m - 1/2(2m+2) + 1/2λ = 0
Step 6: Solve the resulting equation for m.
R^2m^2 - R^2m - m + λ/2 - 1 = 0
Step 7: Solve for m using the quadratic formula.
m = (-(-R^2) ± √((-R^2)^2 - 4(R^2)(-1+λ/2)))/(2R^2)
Step 8: Simplify the expression for m.
m = (R^2 ± √(R^4 + 4R^2(1-λ/2)))/(2R^2)
Step 9: Solve the equation by plugging in the values of m into w(r) = r^m.
Therefore, the solution to the given differential equation involves solving for the values of m and plugging them into the equation w(r) = r^m.
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Find the limit of: \(lim_{x\to 0}\frac{sin2x}{sin3x}\)
Please use the hint in the problem, but also explain what the hint is. I don't know how they derived it from the original equation of: \(\frac{sin2x}{sin3x}\)
![Find the limit of: [tex]lim_{x\to 0}\frac{sin2x}{sin3x}[/tex]Please use the hint in the problem, but](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/x3XmrVpWdDVnOo6hDZeTKG18EB1Lf7cC.png)
Answers
First of all I am solving the question and then I will explain the hint...
\( \sf \: lim_{x\to 0} \: \frac{sin2x}{sin3x}\)
Evaluate the limits of numerator and denominator separately.\( \sf \: lim_{x\to 0} \:( sin(2x)) \\ \sf \:lim_{x\to 0} \:( sin(3x))\)
Evaluate the limit.\( \sf \: 0 \\ \sf \: 0\)
Since the expression 0/0 is an indeterminate form, try transforming the expression.\( \sf \: lim_{x\to 0} \: (\frac{sin(2x)}{sin(3x)})\)
Multiply the fraction by 2×3x/2×3xNow, Here we will make the use of hint.. When we evaluated the limit we got 0/0 so now we will multiply the fraction by 2×3x because we need to simplify or we can say eationalize the denominator...\( \sf \: lim_{x\to 0} \: (\frac{sin(2x) \times 2 \times 3x}{sin(3x) \times 2 \times 3x})\)
Use the commutative property to reorder the terms.\( \sf \: lim_{x\to 0} \: (\frac{ 2 \times 3x \times sin(2x)}{3 \times 2x \times sin(3x)})\)
Separate the fraction into 3 fractions.\( \sf \: lim_{x\to 0} \: ( \frac{2}{3} \times \frac{ \sin(2x) }{2x} \times \frac{3x}{ \sin(3x) } )\)
Evaluate the limit.\( \sf \: \frac{2}{3} \times 1 \times {1}^{ - 1} \)
Simplify the expression.\( \boxed{ \tt \frac{2}{3}}\)
Hi can someone help me with this its due tommorow!!!
A box has an equal number of red and green balls. What is the probability of a red ball being chosen of the box has a total of 24 balls?
A.1/2
B.1/12
C.2
D.1
Answers
Answer:
1/12
Step-by-step explanation:
Is the answer I'm bro
In the equation y = $7.20x + $790, "y" represents Select one: A. variable costs/unit. B. total fixed costs. C. total costs. D. none of the above
Answers
In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.
The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.
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8.46 rounded to the nearest integer
Answers
Answer: 8
Step-by-step explanation:
The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answers
Answer:
above sea level
Step-by-step explanation:
Julie says the most amount of time spent on homework is 1 1\2 times the least amount of time spent on homework
Answers
Data for the question :
1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2
Answer:
Julie is Incorrect
Step-by-step explanation:
Given the data:
1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2
The least amount of time spent is : 1
The most amount of time spent is 3 3/4
According to Julie ; the most amount of time spent is equal to 1 1/2 the least amount of time spent.
That is,
3 3/4 = 1 * 1 1/2
3 3/4 = 15/4
1 * 3/2 = 3/2
Hence, she is incorrect ;
15/4 ≠ 3/2
Which of these equations is produced as a step when the Euclidean algorithm is used to find the gcd of given integers?
Multiple Choice 1 =1 . 0+1
7 =7 . 1+0 7 = 7 . 0+7 t = 7 . 0+1 (Check all that apply.) 278 = 2 . 124 + 30 124 = 4 . 30 + 4 4 = 2 . 2 + 0 30 = 30 . 1 + 0 4 = 4 . 0 + 4 30 = 7 . 4 + 2
Answers
The correct equation from the given options is: 30 = 7 . 4 + 2.
What is an algebraic expression?
An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations.
Let's use this algorithm to find the gcd of 278 and 30, as given in the options.
First, we divide 278 by 30 and get a quotient of 9 and a remainder of 8:
278 = 9 × 30 + 8
Next, we divide 30 by 8 and get a quotient of 3 and a remainder of 6:
30 = 3 × 8 + 6
Next, we divide 8 by 6 and get a quotient of 1 and a remainder of 2:
8 = 1 × 6 + 2
Finally, we divide 6 by 2 and get a quotient of 3 and a remainder of 0:
6 = 3 × 2 + 0
Since the remainder is 0, the gcd of 278 and 30 is the last non-zero remainder, which is 2.
The equation from the options that corresponds to the third step of the algorithm, when we divide 30 by 8 and get a quotient of 3 and a remainder of 6, is: 30 = 7 × 4 + 2
Therefore, the correct equation from the given options is: 30 = 7 . 4 + 2.
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When the Euclidean algorithm is used to find the gcd of given integers, 124 = 4 . 30 + 4 is produced as a step.
What is the Euclidean algorithm?The Euclidean algorithm is a method for calculating the greatest common divisor (GCD) of two integers. The procedure for determining the GCD of two integers a and b is straightforward: Divide a by b and take the remainder r. Replace a with b, replace b with r, and repeat the procedure until r is zero. The final value of b is the greatest common factor. The GCD of a and b is abbreviated as gcd(a,b).
The correct equation produced as a step when the Euclidean algorithm is used to find the gcd of given integers is 124 = 4 . 30 + 4.
What is the significance of the Euclidean algorithm?The Euclidean algorithm is widely used in mathematics, including number theory, abstract algebra, and cryptography. It has many computational applications, including prime number testing, integer factorization, and cryptography, in addition to calculating GCD.
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where is root 10 be on a number line?
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Answers
Answer:
We can do it by using Pythagoras Theorem.
We can write
10
as follows:
10= 9+1⇒ 10
= 3 2 +1 2
The construction steps are as follows:
1. Take a line segment AO=3 unit on the x-axis. (consider 1 unit = 2 cm)
2. Draw a perpendicular on O and draw a line OC=1 unit
3. Now join AC with
10 .
4. Take A as center and AC as radius, draw an arc which cuts the x-axis at point E.
5. The line segment AC in the below diagram represents
10 units.
Answer: 10
Step-by-step explanation: