Answer:
∠ DEB = 52°
Step-by-step explanation:
The angle between a tangent and a chord is equal to the angle in the alternate segment, that is
∠ DEB = ∠ ABD = 52°
The short answer is that you use the tangent-chord theorem. A more lengthy answer is given below.
=================================================
Explanation:
Refer to the diagram below.
I'm going to move point E so that segment EB becomes a diameter of the circle (it goes through the center point F). Points A,B,C,D will stay in place. The red points and red segments show the changes.
In this slightly redrawn diagram, triangle EDB is a right triangle where angle EDB is 90 degrees. This is due to Thales Theorem, which is a special case of the inscribed angle theorem.
Also, the new segment EB is perpendicular to segment AC because the diameter touching the point of tangency is perpendicular to the tangent line. So angle EBA is 90 degrees.
Since points A, D and B didn't move, this means angle ADB is still 52 degrees. This makes the new angle EBD equal to 90-52 = 38 degrees.
Despite the fact that angle E has moved, it has not effected the size of angle DEB. This angle is the same as its original because we're still subtending the same minor arc DB, and that arc hasn't changed size (since segment DB hasn't changed). So that's why it's valid to use the same x for the old angle DEB in black and the new angle DEB in red. They're the same angle.
-------------
Focus on triangle EBD. We have the following interior angles
B = 38D = 90E = xFor any triangle, the three interior angles must add to 180
B+D+E = 180
38+90+x = 180
128+x = 180
x = 180-128
x = 52
Angle DEB is 52 degrees
It's not a coincidence that we end up with the same angle as shown in the original diagram. The tangent-chord theorem says that the angle between a chord and tangent (as shown in the diagram) is exactly equal to the inscribed angle that subtends the arc formed by the chord. Arc DB is formed by chord DB.
In short, the tangent-chord theorem says that inscribed angle DEB and angle ABD are the same measure (both are 52 degrees).
This demonstration I've shown is one way to prove the tangent-chord theorem. Though a more rigorous proof would involve another variable.
I had to repost this three times so please help me out, guys. Please
Answer:
i dont get it is it an angle or a triangle
Required information Use the following information for the Quick Studies below. (Algo) [The following information applies to the questions displayed below] QS 13.5 (Algo) Horizontal analysis LO P1 Compute the annual dollar changes and percent changes for each of the following items. (Decreases should be entered with a minus sign. Round your percentage answers to one decimal place.)
In order to compute the annual dollar changes and percent changes for each item, we need to follow these steps:
1. Identify the items for which we need to compute the changes.
2. Determine the dollar change for each item by subtracting the previous year's value from the current year's value. If the value has decreased, add a minus sign in front of the change to indicate a decrease.
3. Calculate the percent change for each item by dividing the dollar change by the previous year's value and multiplying by 100. Round your percentage answers to one decimal place.
4. Repeat steps 2 and 3 for each item.
For example, let's say we have the following items:
Item A:
Previous year's value = $100
Current year's value = $120
Item B:
Previous year's value = $500
Current year's value = $400
Item C:
Previous year's value = $1000
Current year's value = $1100
To compute the changes:
1. Item A:
Dollar change = $120 - $100 = $20
Percent change = ($20 / $100) * 100 = 20%
2. Item B:
Dollar change = $400 - $500 = -$100
Percent change = (-$100 / $500) * 100 = -20%
3. Item C:
Dollar change = $1100 - $1000 = $100
Percent change = ($100 / $1000) * 100 = 10%
By following these steps, you can compute the annual dollar changes and percent changes for each item in the given information. Remember to round the percentage answers to one decimal place.
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The following displays two normal distributions. Which of the following are true?I. The mean of A is less than the mean of B. II. The standard deviation of A is less than B.III. The area under the curve of A is less than B. . A. О I only B. O I, II, and III C. O III only D. O I and II only E. O II and III only
I. The mean οf A is less than the mean οf,
Thus Optiοns B; I, and II οnly are cοrrect.
What is the standard deviatiοn?The standard deviatiοn is a measurement οf hοw much a grοup οf values vary οr are dispersed. While a high standard deviatiοn suggests that the values are dispersed thrοughοut a wider range, a lοw standard deviatiοn suggests that the values tend tο be clοse tο the established mean.
Here, we have
Given: The mean οf A is less than the mean οf B
The standard deviatiοn οf A is less than B
The area under the curve οf A is less than B
We have tο find the true statement.
Mean οf A is less than B because A's center is tο the left οf B.
The standard deviatiοn οf A is less than B because A's curve is less spread.
The area under the curve is I. Hence,
Hence, Optiοns B; I, and II οnly are cοrrect.
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"Write the equation of the line in point slope form that passes through the points (2, 11) and (8, -1
Answer:
y= -2/1x + 15
-1-11=-12
8-2=6
-12/6
-2/1
Answer:
y=-2x+15
Step-by-step explanation:
Plot it out. Count rise o'er run. Then graph for b. Right easy. Logic and Facts.
dont forget the -2
PLEASE PLEASE HELP! I NEED IT TO BE CORRECT!
Answer:42.83 i think
Step-by-step explanation:
Answer:
42.83
Hope this helps and have a great day!!!
ENJOY!
How fast did the plane descend?
Choose 1 answer:
5 meters per second
B
6 meters per second
7 meters per second
D
4 meters per second
2 of 4
ООО
Answer:
5 meters per second
Step-by-step explanation:
First you must find the slope of the graph. Take the rise/run of the function. The graph starts at 8500 meters and goes down to 7500 meters in 200 seconds. the difference between the change in meters is 1000 meters and the change in seconds is 200 seconds. That is 1000/200. This can be simplified to 5/1 which is 5 meters per second.
Answer: 5 meters per second.
Step-by-step explanation:
(A) It was at 8000m at 100 seconds.
(B) It was at 7000m at 300 seconds.
Difference in altitude = 8000m - 7000m = 1000m
Difference in time = 300s - 100s = 200s
\(\frac{1000m}{200s} =5m/s\)
What is the domain:
What is the range:
Answer:
Domain: [-4,4]
Range: [-4,6]
Step-by-step explanation:
To domain pertains to the x-coordinates, while the range pertains to the y-coordinates.
Looking at the graph, we can see that the farthest point to the left is (-4,3) and the farthest point to the right is (4,6). Now, we know that the domain is [-4,4].
Looking at the graph, we can see the highest point is (4,6) and the lowest point is (0,-4). Now, we know the range is [-4,6].
Now, we know that the domain is [-4,4] and the range is [-4,6].
8. mABC
(20x - 15)
Β Α
Answer:
Step-by-step explanation:
20 X _15 = 5X +90
15 X =105
X= 7
< A = 35
<B = 55
A hiker begins at sea level and descends 25 feet every minute. How long will it take to get to an elevation of -750 feet?
Answer:
it would take about 7 1/2 minutes.
Step-by-step explanation:
please give brainliest
Answer:
30 minutes
Step-by-step explanation:
The hiker starts at sea level or 0 feet. He descends 25 feet every minute. This can be written in an equation as so, 0 acting as the starting point, f being feet, and m being minutes:
f = 0 - 25m
This simplifies to:
f = - 25m
We can substitute f in for -750
-750 = - 25m
Now, we divide by - 25 by both sides of the equation
-750 ÷ - 25 = 750 ÷ 25 = 30
30 = m
It would take 30 minutes for the hiker to get to - 750 feet in elevation.
I Hope That This Helps! :)
4²=4.4.4 = 12
Which of the following statements is correct?
4³ = 4.4=16
4³ = 4.4.4 = 64
34 = 4.4.4.4 = 256
The statement that is correct include the following: B. 4³ = 4.4.4 = 64.
What is an exponent?In Mathematics, an exponent can be defined as a mathematical operation that is used in conjunction with an algebraic expression to raise a quantity to the power of another and it is generally written as;
bⁿ
Where:
the variables b and n represent numerical values or an algebraic expression.
From the information provided, we can logically deduce the following as the only true statement:
4³ = 4 × 4 × 4 = 64 (True).
4³ = 4 × 4 = 16 (False).
3⁴ = 4 × 4 × 4 × 4 = 256 (False).
4² 4 × 4 × 4 = 12 (False).
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Developers determine the specifics of how to build a system in the _____ phase.
a. analysis
b. design
c. implementation
d. testing
Developers determine the specifics of how to build a system in the design phase. b
The design phase and its importance:
Define Objectives:
The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.
The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:
During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.
This architectural design provides a high-level view of the system's organization.
Design System Components:
With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:
The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:
The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.
Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.
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Find the area of a square if its side length is:
1. 1/5 cm 2. 3/7 units 3. 11/8 inches 4. 0.1 meters 5. 3.5 cm
Answer:
1. 1/25 cm^2
2. 9/49 u^2
3. 121/64 in^2
4. 0.01 m^2
5. 12.25 cm^2
Step-by-step explanation:
Take each of the values and square them
EXAMPLE:
(1/5)^2 = 1^2/5^2=1/25
Also, INCLUDE UNITS
Let z = 3(cos(15°) + i sin(15°)) and w = 5(cos(90°) + i sin(90°)). What best describes the geometric construction of the quotient z/w on the complex plane?
z is scaled by a factor of One-fifth and rotated 90 degrees clockwise.
z is scaled by a factor of 1 and rotated 90 degrees clockwise.
z is scaled by a factor of 1 and rotated 90 degrees counterclockwise.
z is scaled by a factor of One-fifth and rotated 90 degrees counterclockwise.
The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise
How to find Complex Trigonometric numbers?
We are given;
z = 3(cos(15°) + i sin(15°))
w = 5(cos(90°) + i sin(90°))
Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.
Thus, option A is the correct answer.
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in order to calculate the correlation between two variables related to the same sample what do you need to calculate first?
In order to calculate the correlation between two variables related to the same sample you need to calculate first the mean of each variable.
Before determining the correlation, the covariance of the two variables in the issue must always be computed. The standard deviation of each variable is then needed. The correlation analysis is calculated by dividing the covariance even by combination of a standard deviations of two or more variables.
A correlation is a statistical measurement of the two-variable connection. The measure works best with parameters that have a linear connection with one another.
The degree of the relationship between two variables is examined using correlation. To get the correlation between two variables, divided the covariance value by the standard deviation of both variables. Correlation analysis for two variables in the same sample should be performed. If you run a survey with two factors, a responder should be able to answer both variables at a glance. Furthermore, other participants' replies to the parameter might be evaluated for a correlation test.
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Patrick is excited to attend his son’s soccer game tomorrow
evening, but he also needs to ensure his daughter arrives at her
coding class on time. Patrick is debating whether taking the train
or his
Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.
On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.
If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.
Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.
Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.
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in a circle, a sector with central angle is 225 degrees intercepts an arc of length 30pi in. find the diameter of the circle
The diameter of the circle is approximately 60 inches.
To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.
In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).
To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.
The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.
In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.
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how much money will it cost you to drive 100.0 miles if your car gets 25.70 miles per gallon and gas costs $3.309/gallon?
It will cost $12.87 for driving 100 miles.
Based on the given problem, we have identified the given information as follows:
25.70 miles per gallon100 miles as the distance traveled by car$3.309 as the cost of gasoline per gallonThen, we identify the unknown quantity which is the total cost of gasoline, and represent this as C. Now, this can be solved by using the formula
\(C = \frac{distance traveled by car}{25.70 miles per gallon} * Cost of gasoline per gallon\)
By substituting the given to the variable given in the formula above, we have,
\(C = \frac{100}{25.70} * 3.309\)
C = $ 12.87
The obtained value of C is $12.87, therefore, we can conclude that it costs 12.87 dollars for driving 100 miles.
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If x and y vary directly and y is 44 when x is 11, find y when x is 9.
The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, x and y vary directly and y is 44 when x is 11.
Let, y ∝ x.
y = kx.
44 = 11k.
k = 44/11.
k = 4.
Now x = 9.
y = 4×9.
y = 36.
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2x2 - 3x - 2 = x + 4
Check all of the solutions to this equation.
-1
3
7
0 (-1,3)
(3,7)
10
DONE
X
-2
6
10
-2
Answer:
The Answer is x = -1 or x = 3
need help on this question !!!
Which inequality is represented by the graph?
Answer:
Step-by-step explanation:
x < 0
Answer : x is less than or equal to 0
First, the direction of the number line in the graph is the negative number side, so it has to be 0 or less.
If it is less than 0, the dot that starts at the point 0 must have a hollowed out part in the middle. If it is 0 or less, the dot that starts at the point 0 is completely filled with no hollowed middle part.
Since the dot is completely blacked out, the answer is the second option.
Help with slope pleaseee
^^
.What would 9.4576 be rounded to the nearest thousandths place?
9.000 because it is under 5.
Answer:
9.458
Step-by-step explanation:
6 is more than 5 so you round up
Every spring, Mary plants colorful flowers in her garden. This year, she decides to plant
petunias. She buys them at the garden store, brings them back home, and starts planting.
There is a proportional relationship between the amount of time (in minutes) Mary has been
working in her garden, x, and the number of petunias she has planted
What is the constant of proportionality? Write your answer as a whole number or decimal
Answer:
2
Step-by-step explanation:
Kaylee was out at a restaurant for dinner when the bill came. her dinner came to $24. after adding in a tip, before tax, she paid $28.08. find the percent tip.
Answer:
17%
Step-by-step explanation:
subtract/originial*100=lercent change
4.08/24=0.17*100=17
The answer is 17%
Based on the ______, we know that with sufficient sample size the sampling distribution of proportions is approximately normal.
Based on the Central Limit Theorem, we know that with sufficient sample size, the sampling distribution of proportions is approximately normal.
The Central Limit Theorem (CLT) states that when independent random variables are summed or averaged, their distribution becomes approximately normal, regardless of the original distribution shape. This applies to proportions as well. For a sampling distribution of proportions, when multiple random samples of sufficient size are taken from a binary population, the distribution of sample proportions will be approximately normal, centered around the true population proportion. The CLT allows us to make statistical inferences about the population proportion using normal-based techniques, such as constructing confidence intervals and conducting hypothesis tests.
In summary, the CLT assures us that with an adequate sample size, the sampling distribution of proportions approximates a normal distribution, enabling us to apply standard statistical methods for making inferences about proportions.
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what is the coefficient of x^8y^9 in the expansion of (3x+2y)^17
The coefficient of x^8y^9 in the expansion of (3x+2y)^17 is 34459425.
What is coefficient ?
A coefficient is a number or a letter that is used to multiply a variable or a set of variables in an algebraic expression or equation. It is a measure of the strength of the variable with respect to other variables in the equation. Coefficients are often used to represent different physical properties or constants in mathematical models and equations.
To find ,
(a + b)^n = C(n,0)a^n*b^0 + C(n,1)a^(n-1)b^1 + C(n,2)a^(n-2)b^2 + ... + C(n,n-1)a^1b^(n-1) + C(n,n)a^0b^n
Where C(n,k) = n! / (k!(n-k)!) is the binomial coefficient.
In this case, the coefficient of x^8y^9 in the expansion of (3x+2y)^17 is C(17,8) = (1716151413121110)/(87654321) = 34459425.
So the coefficient of x^8y^9 in the expansion of (3x+2y)^17 is 34459425.
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Find the duration of an 6% coupon bond making semiannual coupon payments with a par value of $1,000 if it has three years until maturity and a 10% yield to maturity. (10) When the market interest rate was 6 percent, you purchased a 10-year, 8 percent coupon (semiannual coupon payments) bond with a Macaulay duration of 7.29 years. The par value of this bond is $1,000. If the market interest rate decreases by 50 basis points from the previous level, what is the percentage change in the bond's price using the duration concept?
The percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.
To calculate the percentage change in the bond's price using the duration concept, we can use the following formula:
Percentage Change in Bond Price = - (Duration * Change in Yield)
Given:
Duration = 7.29 years
Change in Yield = -0.005 (50 basis points decrease)
Using the formula, we can calculate the percentage change in the bond's price:
Percentage Change in Bond Price = - (7.29 * (-0.005))
Percentage Change in Bond Price = 0.03645
Therefore, the percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.
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Given a linear function in form f(x) = MX + b, you know that m = 1/3 and the input 6 is associated with the output –4. What is the value of b?
Answer: b=-6
Step-by-step explanation:
Since we are already given a lot of information, we can directly plug them into the equation and solve for b.
\(y=mx+b\\y=\frac{1}{3} x+b\\-4=\frac{1}{3}(6)+b\\ -4=2+b\\b=-6\)
Therefore, we know that b=-6.
Let A = 8 N LAR 6 4 -2] 3 3 and B= 6 2 1 Find AB. L-8 5 21
The product of the given matrices is,
\(AB = \left[\begin{array}{ccc}-25&27&8\\12&51&48\\58&22&30\end{array}\right]\)
The given matrices are,
\(A = \left[\begin{array}{ccc}-1&3&5\\8&2&3\\6&4&-2\end{array}\right]\)
And
\(B = \left[\begin{array}{ccc}3&4&5\\6&2&1\\-8&5&2\end{array}\right]\)
We know that,
To process operations with bigger quantities of data more effectively, deep learning models employ a simple linear algebra computation called a matrix's dot product. It is produced when two matrices with matching rows and columns are multiplied.
Since we can see that,
Dimension of matrix A is 3x3 and dimension of matrix B is 3x3
Therefore its product is possible and have dimension of its product be 3x3,
So,
\(AB = \left[\begin{array}{ccc}-3+18-40&-4+6+25&-5+3+10\\24+12-24&24+4+15&40+2+6\\18+24+16&24+8-40&30+4-4\end{array}\right]\)
\(= \left[\begin{array}{ccc}-25&27&8\\12&51&48\\58&22&30\end{array}\right]\)
Hence,
\(AB = \left[\begin{array}{ccc}-25&27&8\\12&51&48\\58&22&30\end{array}\right]\)
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The complete question is attached below: