Answer:
m∠d = 90°
m∠e = 129°
m∠f = 51°
Step-by-step explanation:
Before attempting to calculate the values of the missing angles, first we must know a few properties about certain angles. Vertical angles are angles formed by two lines that cross and are opposite to each other, like the angle of 129° and ∠e for example, and they are equivalent to each other. Therefore, we know that the measure of ∠e, or m∠e, equals 129°.
Next, supplementary angles are two angles whose sums add up to exactly 180°, or a straight angle, and are typically adjacent angles formed on a straight line, like ∠e and ∠f. Since we know m∠e is 129°, and m∠e + m∠f = 180°, that means m∠f + 129 = 180 ⇒ m∠f = 51°.
Lastly, we also see that ∠d forms supplementary angles with a right angle - whose angle measure is 90° - so we can conclude that m∠d + 90 = 180 ⇒ m∠d = 90°.
Therefore, your answers will be: m∠d = 90°, m∠e = 129°, and m∠f = 51°.
Have a great day! Feel free to let me know if you have any more questions :)
A circular curve having an azimuth of back tangent
equal to 185 degrees
and the azimuth of the forward tangent equal to 222 degrees. Find
the
length of the tangent if the external distance is 7.30 m
The length of the tangent in the circular curve is approximately 22.256 meters. To calculate the length of the tangent, we can use the formula:
Length of Tangent = External Distance / tan(Azimuthal Difference / 2)
Given that the external distance is 7.30 m and the azimuthal difference between the forward and back tangents is 37 degrees, we can substitute these values into the formula:
Length of Tangent = 7.30 m / tan(37 degrees / 2)
Now let's solve this expression step by step:
1. Calculate the value inside the tangent function:
37 degrees / 2 = 18.5 degrees
2. Calculate the tangent of 18.5 degrees:
tan(18.5 degrees) ≈ 0.328
3. Divide the external distance by the tangent value:
Length of Tangent = 7.30 m / 0.328 ≈ 22.256 m
In conclusion, by substituting the given values into the formula and performing the calculations, we find that the length of the tangent is approximately 22.256 meters.
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100 POINTS! ANSWER PLEASE! Order the following rational and irrational numbers from least to greatest. -2 3/5, square root of 20, 3.9, 10/3, 3 7/8
The given rational and irrational numbers can be ordered from least to greatest as follows; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.
What is the arrangement of the numbers in ascending order?It follows from the task content that the numbers given are rational and irrational numbers.
To order the numbers, they should be converted to decimal numbers as follows;
-2 3/5 = -2.6
√20 = 4.47
3.9 = 3.9
10/3 = 3.33
3 7/8 = 3.875
Hence, the order from least to greatest is; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.
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Consider the sets below. u = {x | x is a real number} a = {x | x is an odd integer} r = {x | x = 3, 7, 11, 27} is r ⊂ a?
The correct option is (B) yes because all the elements of set R are in set A.
What is an element?In mathematics, an element (or member) of a set is any of the distinct things that belong to that set.Given sets:
U = {x | x is a real number}A = {x | x is an odd integer}R = {x | x = 3, 7, 11, 27}So,
A = 1, 3, 5, 7, 9, 11... are the elements of set A.R ⊂ A can be understood as R being a subset of A, i.e. all of R's elements can be found in A.Because all of the elements of R are odd integers and can be found in A, R ⊂ A is TRUE.Therefore, the correct option is (B) yes because all the elements of set R are in set A.
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The complete question is given below:
Consider the sets below. U = {x | x is a real number} A = {x | x is an odd integer} R = {x | x = 3, 7, 11, 27} Is R ⊂ A?
(A) yes, because all the elements of set A are in set R
(B) yes, because all the elements of set R are in set A
(C) no because each element in set A is not represented in set R
(D) no, because each element in set R is not represented in set A
please and thank you
Answer:
D
Step-by-step explanation:
your welcome
4x-3y=18 I need the work to be shown please
Answer:
\(x = \frac{3(6+y)}{4}\)
Step-By-Step Explanation:
First Step:
\(4x=18+3y\)
Second Step:
\(x = \frac{18+3y}{4}\)
Last Step:
\(x = \frac{3(6+y)}{4}\)
Assume that a real estate investor that rents for $2,000 per month. Which payment plan would the nvestor prefer for the current 12-month lease? payment of $2,000 at the first of each month upfront payment of $24,000 payment of $2,000 at the end of each month payment upfront of $12,000 and $12,000 half-way through the lease
To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.
1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.
2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.
3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.
4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.
Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.
WILL GIVE BRAINLIEST (PLEASE SHOW WORK)
Evaluate sec (11pi/6) without using technology
the inside diameter (in inches) of 50 lightweight snaps used in assembling computer cases are measured and sorted with the following resulting data: 0.0395 0.0443 0.0450 0.0459 0.0470 0.0485 0.0486 0.0487 0.0489 0.0496 0.0499 0.0500 0.0503 0.0504 0.0504 0.0516 0.0529 0.0542 0.0550 0.0571 (a) compute the sample mean and sample variance. (b) find the sample upper and lower quartiles. (c) find the sample median. (d) construct a box plot of the data. (e) find the 5th and 95th percentiles of the inside diameter.
(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.
(a) The mean = sum of all values divided by the number of values
μ = (x1 + x2 + ..... + xn)/n
n = 20
μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20
μ = 0.9878/20
μ = 0.0494
(b) Variance = sum of squared deviations from the mean divided by n-1
s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)
s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19
s² = 0.000016
(b) The minimum is 0.0395 and the maximum is 0.0571.
since the number of data is even, the median will be the average of two middle values.
M = Q2 = (0.0496+0.0499)/2 = 0.04975
Now, the first quartile is the median of the data values below the median
so Q1 = (0.0470+0.0485)/2 = 0.04775
And third quartile will be the median of the data values above the median
Q3 = (0.0504+0.0516)/2 = 0.0510
(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set
so M = (0.0496+0.0499)/2
or M = 0.04975
(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.
The boxplot is attached.
(e) The 5th percentile means 0.05(n+1)th data value
or = 0.05(20+1) = 1.05th data value
5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974
similarly,
95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995
Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.
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Use the substitution method to solve the system of equations. Choose the correct ordered pair. ( can someone please explain how the got their answer lol i don't understand.)
Answer:
B. (3, 14).
Step-by-step explanation:
Substitution means that you first solve for one variable, and then use that solution to find the other.
For example, if x = y, and x + 5 = 7, you can say that y + 5 = 7.
Now, moving on to the actual problem.
The first equation says that y = 6x - 4, and the second equation says y = 7x - 7.
That means for the first equation, instead of y, it is valid to say that 7x - 7 = 6x - 4.
7x - 7 = 6x - 4
7x - 6x = -4 + 7
x = 3.
You could put the x=3 into the y = 7x - 7 equation to find what the y-coordinate is.
y = 7 * 3 - 7
y = 21 - 7
y = 14.
And there you have your coordinates! (3, 14).
Hope this helps!
Answer:
Step-by-step explanation:
please help class end in 10 mins
Amir posts a video trailer
Step-by-step explanation:
He gets five positive reviews
a) Write 6.04 x 10 as an ordinary number
b) Write 2400 000 in standard form
c) Write 0.00147 in standard form
Answer:
a) 60.4
b)2.4×10^6
c)1.47×10^-3
Step-by-step explanation:
here is the answer
statistical significance: a. indicates a high likelihood that your results are due to your treatment versus due to chance. b. is more likely to be reliable if you have a small sample size versus a large sample size. c. is a requirement of the data from a scientific experiment. d. indicates that the hypothesis should be rejected. e. depends on large data sets.
Answer:
Step-by-step explanation:
sean
$563.48 + $4.72 + $327=
Answer:
$895.20
Step-by-step explanation:
10. A study of workplace benefits found that 56% of all American workers have a retirement plan, 68% have health insurances, and 49% have both. a) What is the probability that a randomly selected worker has a retirement plan or health insurance
To find the probability that a randomly selected worker has a retirement plan or health insurance, we need to add the probabilities of having a retirement plan and having health insurance and then subtract the probability of having both,
Since we don't want to count those workers twice. P(retirement plan or health insurance) = P(retirement plan) + P(health insurance) - P(both), P(retirement plan or health insurance) = 0.56 + 0.68 - 0.49, P(retirement plan or health insurance) = 0.75.
Therefore, the probability that a randomly selected worker has a retirement plan or health insurance is 0.75. we'll use the formula: P(A or B) = P(A) + P(B) - P(A and B), where A represents having a retirement plan, B represents having health insurance, and P(A and B) represents having both.
Given:
P(A) = 56% (retirement plan)
P(B) = 68% (health insurance)
P(A and B) = 49% (both)
Now we can plug these values into the formula: P(A or B) = 0.56 + 0.68 - 0.49 = 0.75, The probability that a randomly selected worker has a retirement plan or health insurance is 75%.
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Is the pair of equations y 0 and y =- 7 will have?
No Solution.
Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution
Three Types of Solutions of a System of Linear EquationsConsider the pair of linear equations in two variables x and y.
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.
2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables
3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.
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Find the solution of the differential equation that satisfies the given initial condition. dy 5xe, y(0) = 0 dx -In + = -5x² 2 X
The solution of the given differential equation that satisfies the initial condition y(0) = 0 is 0 = (5/2)(0)² - (1/4)(ln(0))^2 - (5/3)(0)³ + C.
To find the solution of the given differential equation that satisfies the initial condition y(0) = 0, we will follow these steps,
1. Identify the differential equation: dy/dx = 5x - (ln(x)/2) - 5x²
2. Integrate both sides of the equation with respect to x.
Integral of dy = Integral of (5x - (ln(x)/2) - 5x²) dx
Since y(0) = 0, we have:
y(x) = Integral of (5x - (ln(x)/2) - 5x²) dx
3. Perform the integration:
y(x) = (5/2)x² - (1/4)(ln(x))^2 - (5/3)x³ + C
4. Determine the value of the constant C using the initial condition y(0) = 0:
0 = (5/2)(0)² - (1/4)(ln(0))^2 - (5/3)(0)³ + C
Since ln(0) is undefined, we cannot solve for C using the initial condition y(0) = 0. However, the given initial condition is not consistent with the differential equation, so there may be an error in the problem statement.
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If the principal is $6,321 and the rate of interest is 4.5%, what is the amount of interest after five year?
Answer:
$6889.89
Step-by-step explanation:
6321/100=63.21
63.21x4.5=284.445
284.445x5=568.89
568.89+6321=$6889.89
A square has sides of length 6/12 inches. Area of length times width.
What is the area of the square in square inches?
The area of the square is 1/4inches² in square inches
What is area of squareThe area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.
The square has side of length = 6/12
this can be simplified as 1/2
so
area of the square = (1/2 × 1/2) inches ²
area of the square = 1/4inches²
Thus, the area of the square is calculated using area = s × s, as 1/4inches²
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Does this graph show a function? Explain how you know.
Answer:
A is the correct one
cause according to function rule the vertical line should cut only on a one point to be function
as here we can see that vertical line cuts here at two point
Solvent extraction is sometime used to extract the desired active ingredients in food industry. Suppose that the extraction is done wherein the feed contains 24 kg of the active ingredient, which we will call Xyz, per 55 kg of the remaining and insoluble components. It becomes in contact with a solvent and the output concentration after extraction becomes 7 kg of Xyz per 28 kg of remaining and insoluble components. Determine the % recovery of Xyz. Give your answer in whole number percentage (i.e. 56 for 56%)
Solvent extraction yields 29% Xyz recovery, with initial feed containing 24 kg, and output concentration 7 kg per 28 kg.
To calculate the percent recovery, we need to determine the amount of Xyz recovered compared to the amount initially present in the feed. The initial amount of Xyz in the feed is 24 kg. After extraction, the amount of Xyz in the output is 7 kg. Therefore, the amount of Xyz recovered is 7 kg.
The percent recovery is calculated by dividing the amount of Xyz recovered (7 kg) by the initial amount of Xyz in the feed (24 kg) and multiplying by 100.
Percent recovery = (Amount of Xyz recovered / Initial amount of Xyz) x 100
= (7 kg / 24 kg) x 100
≈ 29%
The percent recovery of Xyz in the solvent extraction process is approximately 29%. This means that around 29% of the initial amount of Xyz present in the feed was successfully extracted and recovered in the output.
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Question A data set is summarized in the frequency table below. The data set contains a total of 50 data values. What is the missing frequency? Value Frequency 1 5 2 6 3 5 4 6 5 □ 6 5 7 8 8 4 9 4 10 3
Answer:
Missing frequency = 4
Step-by-step explanation:
Given:
Qty Number
1 5
2 6
3 5
4 6
5 □
6 5
7 8
8 4
9 4
10 3
Total 50
Find:
Missing frequency
Computation:
Missing frequency = Total frequency - Counted
Missing frequency = 50 - 46
Missing frequency = 4
i dont know how to put the information in the equation pls help
Step-by-step explanation:
a) We can use the formula:
Amount earned per day = Amount kept + Amount given away
where "Amount earned per day" is the amount Tom earns in one day, "Amount kept" is the amount Tom keeps for himself each day, and "Amount given away" is the amount Tom gives to his mom each day.
Using the given information, we can plug in the values:
$40 = Amount kept + $8 x 4
Simplifying this equation, we get:
$40 = Amount kept + $32
Subtracting $32 from both sides, we get:
$8 = Amount kept
Now, we need to find the amount Tom gets paid each hour, which we can represent as "h". We know that Tom works 4 hours a day, and for each hour he works, he puts $8 aside for his mom. Therefore, the amount he earns each day can be expressed as:
Amount earned per day = h x 4
We also know that Tom keeps $8 for himself each day, so we can rewrite the equation as:
Amount earned per day = Amount kept + Amount given away
h x 4 = $8 + Amount given away
Substituting the value we found for "Amount kept", we get:
h x 4 = $8 + Amount given away
h x 4 = $8 + $32
h x 4 = $40
Dividing both sides by 4, we get:
h = $10
Therefore, Tom gets paid $10 per hour.
An expression is given.
Which expression is equivalent to the given expression?
A
−13x+12-13x+12−13x+12
B
10x2−7x−1210x^2-7x-1210x
2
−7x−12
C
10x2−23x+1210x^2-23x+1210x
2
−23x+12
D
7x2−23x−77x^2-23x-77x
2
−23x−7
The equation -13x+12-(-13x+12)-13x+12 = -13x+12 is equivalent to the given expression that is -13x+12.
10x^2 - 23x + 12 = (5x - 3)(2x - 4) = 0
So the solutions to the equation are x = 3/5 or x = 2.
Therefore, this expression is not equivalent to -23x + 12 for all values of x.
10x^2 - 7x - 12 = 0 can be factored as (2x - 3)(5x + 4) = 0.
So the solutions to the equation are x = 3/2 or x = -4/5.
Therefore, this expression is not equivalent to -7x - 12 for all values of x.
-13x+12-(-13x+12)-13x+12 = -13x+12
-13x+12 = -13x+12
This expression is equivalent to -13x+12 .
7x^2 - 23x - 77 = (7x + 11)(x - 7) = 0
So the solutions to the equation are x = -11/7 or x = 7.
Therefore, this expression is not equivalent to -23x - 7 for all value x.
The given expressions of each case are not equivalent to the given equations for all values of x, except −13x+12-(-13x+12)-13x+12 = -13x+12 which is equivalent to -13x+12 .
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______The given question is incorrect, the correct question is given below:
An expression is given on equation
Which expression is equivalent to the given expression of each case
?
A
10x2−23x+1210x^2-23x+1210x = −23x+12
B
10x2−7x−1210x^2-7x-1210x = −7x−12
C
−13x+12-(-13x+12)-13x+12 = -13x+12
D
7x2−23x−77x^2-23x-77x = −23x−7
A company buys a digital scanner for $12,000.
The value of the scanner is $12,000 (1 - n/5 ) after years.
The
company has budgeted to replace the scanner when the trade-in value is $,400.
After how many years should the
company plan to replace the machine in order to receive this trade-in value?
Answer:
it will be n=4
Step-by-step explanation:
12,000 1-n/5 =2,400n
12000-12000=2,400
2,400-12000=-9600
-2400 n=4
Which is the pattern for factoring the difference of squares?
a. (x^2-y)^2
b. (x+y)(x+y)
c. (x-y)(x-y)
d. 2(x-y)
Answer:
D. 2(x-y)Step-by-step explanation:
d.
\(2(x - y) \\ 2x - 2y \\ \)
Help!! And stop with the links!!!!!
Answer:
3, 5, 2, 1, 4
Step-by-step explanation:
In step 2, parentheses are eliminated: distributive property.
In step 3, x is subtracted: subtraction property.
In step 4, 12 is added: addition property.
In step 5, the equation is divided by 17: division property.
__
The properties are listed in the order of statements ...
3, 5, 2, 1, 4
Please help with this math problem ASAP! It is due tonight! Will give brainliest! :)
Answer:
sin(x) = \(\frac{7}{25}\)
x = 16.26°
Step-by-step explanation:
First use Pythagorean theorem to find the length of the hypotenuse. Use \(a^2 + b^2 = c^2\). Since we know a and b we can plug in to find c. When we plug in we get: \((7)^2 + (24)^2 = c^2\). When we solve this out we get 25 = c.
Now that we know the value of c, we also know sin(x) = \(\frac{opposite}{hypotenuse}\). Using this we see that sin(x) = \(\frac{7}{25}\).
To get the exact degree value of x, take the inverse sin of \(\frac{7}{25}\):
\(sin^-1(\frac{7}{25})\) which gives us 16.26020° rounded to 16.26°
raul has a website for sports fans. he wants to track the number of new and returning visitors to his site. what can he use to find this information?
To track the number of new and returning visitors to his sports website, Raul can use web analytics tools.
As a website owner, it is important to track the number of visitors that come to your site. This can help you determine the success of your website and identify areas where you may need to improve. In the case of Raul's sports website, he wants to track both the number of new and returning visitors.
To track this information, Raul can use web analytics tools. These tools can track a variety of metrics, including the number of visitors, the time visitors spend on the site, and the pages they visit. Specifically, Raul can use a tool that provides information about unique visitors versus returning visitors.
Unique visitors refer to the number of people who have visited the website for the first time, while returning visitors refer to those who have visited the website before.
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What is the difference of (-3.4x+4.7)-(3+2.9x)?
-0.5x+1.7
O -6.3x-1.7
0 -0.5x-1.7
O -6.3x+1.7
please help
Answer:
option 4
Step-by-step explanation:
-3.4x + 4.7 - (3 + 2.9x) = -3.4x + 4.7 - 3 - 2.9x (combine like terms)
= -3.4x - 2.9x + 4.7 - 3
= - 6.3x + 1.7
If two number have same sign, add and put the common sign for the answer.
If two numbers have different sign, subtract and the answer will have the sign of the bigger number