Okay, let's break this down step-by-step:
* The sum of angles in a quadrilateral is 360 degrees
* Angles DAB and BCD are the same size
* Angle ABC is not given, so we'll call it 'x' degrees
* Putting this together:
360 = 38 + x + 226 + 38
360 = 302 + x
x = 58
Therefore, angle DAB = 58 degrees.
The answer is:
DAB = 58°
I have to turn this into standard form
f(x)=-0. 089(x+6. 756)(x-13. 356)
The standard form of a quadratic function is given by f(x) = ax^2 + bx + c.
To turn the given function into standard form, we need to expand and simplify the expression. Using the distributive property, we get:
f(x) = -0.089(x^2 - 6.6x - 90.266)
Next, we can distribute the -0.089:
f(x) = -0.089x^2 + 0.5874x + 8.033174
So the given function in standard form is:
f(x) = -0.089x^2 + 0.5874x + 8.033174
In standard form, the quadratic function is written as a polynomial in descending order of powers of x, where the coefficient of the x^2 term is non-negative.
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13. A community group is planning the expansion of a square flower garden in a city park. If each side of the
original garden is increased by 3 meters, the new total area of the garden will be 64 square meters. Find
the length of each side of the original garden
O 8m
O 3m
O 5m
O √5 m
The original side is 5 m.
Hence option C is correct.
For the given square flower garden
Let side of it = x
Since area of square = side x side
Therefore, according to the question,
(x+ 3)² = 64
Take square root both sides,
⇒ x + 3 = 8
⇒ x = 5 m.
Hence,
side = 5 m.
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lim x→[infinity] x sin 5 x (a) describe the type of indeterminate form (if any) that is obtained by direct substitution. 0 0
By direct substitution, we get an indeterminate form of "infinity times zero", since plugging in infinity for x results in the expression ∞ * sin(5∞) which is undefined.
To evaluate this limit, we need to use a limit rule or technique, such as L'Hôpital's rule. We can apply this rule by taking the derivative of both the numerator and denominator with respect to x, which yields:
lim x→[infinity] x sin 5x = lim x→[infinity] sin 5x / (1/x)
= lim x→[infinity] 5cos 5x / -1/x^2 (by applying L'Hôpital's rule)
= lim x→[infinity] -5cos 5x * x^2
Since the cosine function is bounded between -1 and 1, we know that the limit of -5cos(5x) as x approaches infinity is bounded between -5 and 5. The limit of x^2 as x approaches infinity is infinity. Therefore, the limit of the original function as x approaches infinity is negative infinity.
Thus, the limit of x sin(5x) as x approaches infinity is negative infinity.
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A random survey of the students in eighth grade shows that 7 prefer hamburgers, 5 prefer chicken, and 3 prefer hot dogs. Is the sample valid? What percent prefer hot dogs?
We cannot say whether the sample is valid or not. 20 percent of the students in the sample prefer hot dogs.
To determine if the sample is valid, we need to know the size of the sample. If the sample size is very small, then it may not be representative of the entire eighth-grade class.
Assuming that the sample size is sufficiently large, we can proceed with analyzing the results.
The total number of students in the sample is:
7 + 5 + 3 = 15
The percentage of students who prefer hot dogs is:
(3/15) x 100% = 20%
However, we cannot draw conclusions about the entire eighth-grade class based solely on this sample. The sample may not be representative of the entire population, and there may be other factors to consider that could affect the results. Therefore, we cannot say for sure whether the sample is valid or not without additional information.
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characteristic or quantity of interest that can take on different values is a. (n) a. observation. b. quality. c. variable. d. record
characteristic or quantity of interest that can take on different values is is c. variable. A variable is a characteristic or quantity of interest that can take on different values. An observation is a single instance of a variable, a quality refers to the level of excellence or superiority of something, and a record refers to a documented account of information.
understanding the concept of variables is important in statistics as they are the main focus of analysis and interpretation.
A characteristic or quantity of interest that can take on different values is called a variable. Variables can be either dependent or independent and are used in various fields like mathematics, science, and statistics to understand relationships between different factors.
In the context of the question, a variable is the term used to describe a characteristic or quantity that can assume different values.
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water is dripping out of a conical figure that has a diameter of 8 inches and a height of 12 inches. when the depth of the water is 8 inches, what is the radius of the cone?
When the depth of the water is 8 inches, the radius of the cone is 2.667 inches.
Given that the diameter of the conical figure is 8 inches, while the height of the given conical figure is 12 inches. Therefore, the diagram for the given condition can be made as shown below.
Now, consider the two triangles, ΔABC and ΔAPQ.
The two triangles have a right angle individually and have ∠A in common. Therefore, the two triangles are similar triangles.
Thus, the ratio of the sides can be written as,
AP/AB = PQ/BC
Substitute the values,
8 in/12 in = r / 4 in
r = (8/3) inches
r = 2.667 inches
Hence, the radius is 2.667 inches.
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A girl bought 100 oranges for 400.00. She sold them all in groups of 5. How much should she sell 5 oranges in order to make 50% profits?
Answer:
She should sell 5 oranges for 30.00 to make a 50% profit.
Step-by-step explanation:
The girl bought 100 oranges for 400.00, so the cost of each orange is:
Cost of each orange = Total cost / Number of oranges = 400.00 / 100 = 4.00
To make a 50% profit, she needs to sell the oranges at 150% of the cost:
Selling price of each orange = Cost of each orange x 150% = 4.00 x 1.5 = 6.00
Since she sells the oranges in groups of 5, the selling price of 5 oranges would be:
Selling price of 5 oranges = Selling price of each orange x Number of oranges in a group = 6.00 x 5 = 30.00
Therefore, she should sell 5 oranges for 30.00 to make a 50% profit.
convert n = (2.80∠–29.9°) to rectangular form, (a + jb)
The rectangular form of n = (2.80∠–29.9°) is n = 2.45 – 1.38j.
To convert the polar form of n = (2.80∠–29.9°) to rectangular form, we can use the following equations:
a = r*cos(θ)
b = r*sin(θ)
where r is the magnitude of the complex number and θ is its angle in polar form.
Using the given values, we have:
r = 2.80
θ = –29.9°
Converting θ to radians:
θ = –29.9° * π/180 = –0.522 radians
Substituting the values in the equations, we get:
a = 2.80*cos(–0.522) = 2.45
b = 2.80*sin(–0.522) = –1.38
Therefore, the rectangular form of n = (2.80∠–29.9°) is:
n = 2.45 – 1.38j
So, The rectangular form of n = (2.80∠–29.9°) is n = 2.45 – 1.38j.
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find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).
The equation of the tangent line to the graph of y = ln(x^2) at the point (5, ln(25)) is y = (2/5)x - (2/5)ln(25) + ln(25). This line passes through the point (5, ln(25)) and has a slope of 2/5.
To find the equation of the tangent line to the graph of y = ln(x^2) at the point (5, ln(25)), we need to use the formula for the equation of a tangent line:
y - y1 = m(x - x1)
where (x1, y1) is the point of tangency and m is the slope of the tangent line. To find the slope, we need to take the derivative of y = ln(x^2):
y' = 2x/x^2 = 2/x
At x = 5, the slope of the tangent line is:
m = 2/5
So the equation of the tangent line is:
y - ln(25) = (2/5)(x - 5)
Simplifying this equation, we get:
y = (2/5)x - (2/5)ln(25) + ln(25)
Thus, the equation of the tangent line to the graph of y = ln(x^2) at the point (5, ln(25)) is y = (2/5)x - (2/5)ln(25) + ln(25). This line passes through the point (5, ln(25)) and has a slope of 2/5.
To find the equation of the tangent line to the graph of y = ln(x^2) at the point (5, ln(25)), we first need to determine the derivative of the function. The derivative represents the slope of the tangent line at any point on the graph.
The function is y = ln(x^2). Using the chain rule, the derivative is:
dy/dx = (1/x^2) * (2x) = 2/x
Now, we will find the slope of the tangent line at the point (5, ln(25)) by substituting x = 5 into the derivative:
m = 2/5
So, the slope of the tangent line at the point (5, ln(25)) is 2/5. To find the equation of the tangent line, we use the point-slope form:
y - y1 = m(x - x1)
Substitute the point (5, ln(25)) and the slope 2/5 into the equation:
y - ln(25) = (2/5)(x - 5)
This is the equation of the tangent line to the graph of y = ln(x^2) at the point (5, ln(25)).
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3/5x - 1 =2 solve for x
c Relationships: Mastery Test
2
Select the correct answer..
If the factors of function f are (x-6) and (x - 1), what are the zeros of function f?
O A. -6 and -1
O B.
O C.
OD. -6 and 1
-1 and 6
1 and 6
Reset
Next
pls pls pls help i cant fail algebra im so late in work:,)
If the factors of function f are (x-6) and (x - 1), the zeros of function f include the following: D. 1 and 6.
What is the general form of a quadratic function?In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;
y = ax² + bx + c
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.Next, we would solve the quadratic function by using the factors (zeros or roots) provided as follows;
f(x) = (x - 6)(x - 1)
f(x) = x² - x - 6x + 6
f(x) = x² - 7x + 6
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Find the solution set of the inequality 8 � − 8 ≤ − 72. 8x−8≤−72.8, x, minus, 8, is less than or equal to, minus, 72, point � xx
The solution to to log subscript 2 baseline (2 x cubed minus 8) minus 2 log subscript 2 baseline xx = 1x = 2x = 3x = 4 is 2 log₂ (x³ - 8) - 2 log₂ x = -2.
A logarithm expression is an expression in which the unknown value is expressed as the power to which a base number must be raised to produce a given number. For example, the equation log₂ 8 = 3 can be expressed as 2³ = 8.
A logarithm function is a type of mathematical function that calculates the logarithm of a given number. Logarithm functions are commonly used in mathematics, engineering, and science to simplify calculations. Logarithm functions can also be used to convert between different units of measurement.
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complete question:
What is the solution to log subscript 2 baseline (2 x cubed minus 8) minus 2 log subscript 2 baseline xx = 1x = 2x = 3x = 4.
Can someone tell me how to do this?
Answer:
V = 72051 in³
Step-by-step explanation:
the volume (V ) of a cuboid is calculated as
V = Ah ( A is the area of the base and h the height ) , then
V = 987 × 73 = 72051 in³
what is the equation of the yz-trace for the plane 4x-3y+z=12
The equation of the yz-trace for the plane is 4x-3y+z=12.
To find the equation of the yz-trace for the plane 4x-3y+z=12, we need to set x equal to zero. This will give us an equation that only involves y and z, which will be the equation of the yz-trace.
So, when x=0:
4(0) - 3y + z = 12
Simplifying:
-3y + z = 12
This is the equation of the yz-trace for the plane 4x-3y+z=12.
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Question 1 (10 points)
Given the equations for the exponential function and quadratic function below,
explain the differences between exponential and quadratic functions.
f(x) = 2(1.03)* and f(x) =
= 2x²
Be very specific and detailed in your answer -- discuss what the functions look like,
how the table would be different, what the y-intercept would be, etc.
This function is an exponential function because the variable x appears in the exponent.
How to explain the functionThe base of the exponent is 1.03, which is a constant greater than 1.
The coefficient 2 in front of the exponential term affects the y-value when x = 0, but does not affect the shape of the function.
As x increases, the function grows at an increasing rate, meaning that the function is increasing and convex in shape.
The graph of the function will never intersect the x-axis because the exponential function can never equal zero.
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Each letter of the alphabet is written on a notecard and place inside a brown bag. One notecard is selected from the bag. For each event below, determine where on the probability scale the event would best be located. Write the letter of the event on the scale
The event of selecting the letter "A" has a probability of 1/26 or approximately 0.038. Event A: Selecting the letter "A" from the bag
Probability Scale:
0____________________________________1
Event A: A
Event A would be located at one specific point on the probability scale because there is only one letter "A" in the bag and only one card will be drawn. The probability of selecting the letter "A" is 1 out of 26 because there are 26 letters in the alphabet. Therefore, the event of selecting the letter "A" has a probability of 1/26 or approximately 0.038.
Each letter of the alphabet is written on a notecard and place inside a brown bag. One notecard is selected from the bag. For each event below, determine where on the probability scale the event would best be located. Write the letter of the event on the scale
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2i–(aq) + cl2(aq) ⟶ i2(aq) + 2cl –(aq) Is this an acid-base reaction?
No, the given reaction (2I⁻(aq) + Cl₂(aq) ⟶ I₂(aq) + 2Cl⁻(aq)) is not an acid-base reaction. It is a redox (reduction-oxidation) reaction, which involves a transfer of electrons between the reacting species.
An acid-base reaction typically involves the transfer of a proton (H⁺) between an acid (a proton donor) and a base (a proton acceptor).
In the given reaction, there is no transfer of protons. Instead, we observe a transfer of electrons between the reacting species, which indicates a redox reaction.
In this reaction, Iodine (I⁻) is losing an electron to become Iodine (I₂), and Chlorine (Cl₂) is gaining an electron to become Chloride (Cl⁻).
This means that Iodine is being oxidized (losing electrons) and Chlorine is being reduced (gaining electrons).
The half-reactions are as follows:
Oxidation half-reaction: 2I⁻ ⟶ I₂ + 2e⁻
Reduction half-reaction: Cl₂ + 2e⁻ ⟶ 2Cl⁻
These half-reactions show the transfer of electrons between the reacting species, which is characteristic of a redox reaction.
In conclusion, the given reaction is not an acid-base reaction because it does not involve the transfer of protons between an acid and a base. Instead, it is a redox reaction, which involves the transfer of electrons between the reacting species.
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which of the following cannot be determined from the information collected by the system? responses the total number of books borrowed in a given year the total number of books borrowed in a given year the total number of books that were never borrowed in a given year the total number of books that were never borrowed in a given year the total number of books that were returned past their due date in a given year the total number of books that were returned past their due date in a given year the total number of people who borrowed at least one book in a given year
The total number of books that were never borrowed in a given year. Option B
What can not be seen?A library system is a piece of software made specifically for managing a library's activities and inventory of books, periodicals, magazines, and other materials.
It offers a centralized database that librarians may use to manage the library's collection, keep track of borrowing, and keep an eye on other activities related to the library.
This is the kind of software used to collect the information in the question above.
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#Missing parts;
A library system contains information for each book that was borrowed. Each time a person borrows or returns a book from the library, the following information is recorded in a database.
Name and the unique ID number of the person who was borrowing the book
Author, title, and the unique ID number of the book that was borrowed
Date that the book was borrowed
Date that the book was due to be returned
Date that the book was returned (or 0 if the book has not been returned yet)
Which of the following CANNOT be determined from the information collected by the system?
A
The total number of books borrowed in a given year
B
The total number of books that were never borrowed in a given year
C
The total number of books that were returned past their due date in a given year
D
The total number of people who borrowed at least one book in a given year
Coach Carter needs to buy new footballs rose football team the following packages of footballs are available three footballs for $25. 05 footballs for $46 coach needs to buy 35 new footballs how much money will he save by purchasing 35 footballs in packages but the lowest unit price compared to the highest unit price
Answer: To find out the lowest and highest unit prices, we need to calculate the unit price for each package of footballs:
For the package of 3 footballs for $25, the unit price is:
25 / 3 = $8.33 per football
For the package of 5 footballs for $46, the unit price is:
46 / 5 = $9.20 per football
Since Coach Carter needs to buy 35 new footballs, he could either buy 12 packages of 3 footballs (for a total of 36 footballs at a cost of $300) or 7 packages of 5 footballs (for a total of 35 footballs at a cost of $322).
Therefore, if he buys the 12 packages of 3 footballs, he will save:
$322 - $300 = $22
So he would save $22 by purchasing 35 footballs in packages with the lowest unit price compared to the highest unit price.
uppose a lottery consists of six balls drawn at random from 40 balls labelled 1 - 40. prizes are awarded if a player guesses 4, 5, or 6 of the balls correctly. (a) (6 points) what is the probability that a player wins the grand prize (guesses all 6 balls correctly)?
the probability of winning the grand prize is 1/3,838,380, which is approximately 0.000026% or 1 in 3.8 million. This is a very low probability,
probability of winning the grand prize by guessing all six balls correctly can be calculated using the formula for combinations. There are a total of 40 balls to choose from, and the player needs to select six balls correctly. The number of ways to select six balls from 40 is 40C6 (read as "40 choose 6"), which equals 3,838,380.
Now, since the player must guess all six balls correctly, there is only one successful outcome out of the total 3,838,380 outcomes. Therefore, the probability of winning the grand prize is 1/3,838,380, which is approximately 0.000026% or 1 in 3.8 million. This is a very low probability, but it is not impossible to win the grand prize.
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penelope is going to the carnival to ride the rides. it costs $20 to get into the carnival and ride tickets are $0.50 each. write an equation that represents this scenario if she spends $35 in all. group of answer choices 0.50x 20
Penelope must purchase 30 ride tickets in order to spend $35 in all. The equation that represents this scenario is:0.5x + 20 = 35
Let x be the number of ride tickets that Penelope purchases. Each ride ticket costs $0.50, so the cost of the tickets is 0.5x dollars. In addition, she pays $20 to get into the carnival. Thus, the total cost of her trip to the carnival is:
Total Cost = Cost of Ride Tickets + Cost of Admission
Total Cost = 0.5x + 20
We know that Penelope spends $35 in all, so we can set the total cost equal to $35 and solve for x:
0.5x + 20 = 35
Subtracting 20 from both sides, we get:
0.5x = 15
Dividing both sides by 0.5, we get:
x = 30
Therefore, Penelope must purchase 30 ride tickets in order to spend $35 in all. The equation that represents this scenario is:
0.5x + 20 = 35
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If I think of a number than divided by eight then add 73 if the result is 85 what number did I think of first?
A number than divided by eight then add 73 if the result is 85 The number that you thought of first is 96.
Let x be the number that you thought of.
According to the given information, when you divide x by 8 and add 73, the result is 85. We can express this as an equation:
(x/8) + 73 = 85
Subtracting 73 from both sides of the equation, we get:
x/8 = 12
Multiplying both sides of the equation by 8, we get:
x = 96
Therefore, the number that you thought of first is 96.
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the exaggeration of the eye size on sumerian votive sculptures likely symbolizes their ____.
The exaggeration of the eye size on Sumerian votive sculptures likely symbolizes their importance in the spiritual world. In Sumerian culture, eyes were believed to be the windows to the soul and were associated with divinity.
By emphasizing the size of the eyes on their votive sculptures, the Sumerians were likely indicating the spiritual power and significance of the figures represented.
Additionally, the Sumerians believed that the gods were ever-watchful and all-seeing, and the large eyes on their votive sculptures may also represent this idea. By creating figures with oversized eyes, the Sumerians may have been depicting the deities as constantly vigilant and aware of the actions of their followers.
Another interpretation of the large eyes on Sumerian votive sculptures is that they symbolize the ability to see beyond the physical world and into the realm of the divine. The Sumerians believed in the existence of a spiritual realm and may have used the large eyes on their sculptures to represent the ability to perceive and connect with this realm.
Overall, the exaggeration of the eye size on Sumerian votive sculptures likely symbolizes the importance of spiritual connection, the watchful nature of the gods, and the ability to see beyond the physical realm.
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Question 3
Find the slope of each line in the graph. (HINT: Label your x1,y1,x2,y2
on the line). You must show the slope formula with numbers.
*
4-20
Slope of line a
b
20 pts
Slope of line b
The slope of line a is equal to -1.
The slope of line b is equal to 1/5.
How to calculate the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using this mathematical equation;
Rate of change (slope) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Rate of change (slope) = rise/run
Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points (-2, 3) and (3, -2) into the formula for the slope of a line, we have the following;
Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)
Rate of change (slope) = (-2 - 3)/(3 + 2)
Rate of change (slope) = -5/5
Rate of change (slope) of a = -1.
By substituting the given data points (-2, 1) and (3, 2) into the formula for the slope of a line, we have the following;
Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)
Rate of change (slope) = (2 - 1)/(3 + 2)
Rate of change (slope) = 1/5
Rate of change (slope) of b = 1/5.
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find the area of the shaded region of the circle and explain how you got your answer
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =80 \end{cases}\implies A=\cfrac{(80)\pi (6)^2}{360} \\\\\\ A=8\pi \implies A\approx 25.13~mi^2[/tex]
complete the proof that m tsv complete the proof that m tsv geometry proofs lines
The reason that will complete the proof given above is: alternate interior angles postulate.
What is the Alternate Interior Angles Postulate?If two interior angles lie on opposite side of a transversal, each on the parallel lines the transversal crosses, they are said to be alternate interior angles, and according to the alternate interior angles postulate, they are congruent to each other.
In the image given, angle TWV and angle UTW are alternate interior angles. Therefore, the reason that completes the proof would be: alternate interior angles postulate.
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consider the following simple linear regression model: y = β0 β1x ε. β0 and β1 are
In a simple linear regression model, we are interested in understanding the relationship between two variables: a dependent variable, denoted as y, and an independent variable, denoted as x.
We assume that the relationship between these variables can be described by a straight line, represented by the equation:
y = β0 + β1x + ε
where β0 and β1 are the intercept and slope of the line, respectively. These parameters represent the constant and the rate of change of y with respect to x. The variable ε represents the error term, which captures the variability of the data that cannot be explained by the linear relationship between x and y.
To estimate the parameters of the model, we use a method called least squares, which involves finding the values of β0 and β1 that minimize the sum of the squared errors between the predicted values of y and the actual values of y in the data.
Once we have estimated the parameters of the model, we can use it to make predictions about the value of y for a given value of x. We can also use the model to test hypotheses about the relationship between x and y, such as whether there is a significant linear relationship between the two variables or whether the slope of the line is equal to a specific value.
It is important to note that the assumptions of the simple linear regression model include linearity, independence, normality, and equal variance of the error terms. Violations of these assumptions can lead to biased or inefficient parameter estimates and inaccurate predictions. Therefore, it is important to assess the validity of these assumptions before using the model for inference or prediction.
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If X = 18 yards, Y = 80 yards, and Z = 82 yards, what is the sine of B?
Using the sine ratio, the sine of B in the right triangle shown is determined as: 9/41.
How to Find the Value of Sine of B Using the Sine Ratio?The sine ratio (which is a part of the trigonometry ratios) that would be applied here to find the sine of B in the right triangle is expressed as:
sin ∅ = length of the opposite side / length of the hypotenuse.
We are given the following information from the image above:
Reference angle (∅) = B
length of the opposite side = X = 18 yards
length of the hypotenuse = Z = 82 yards
Plug in the values:
sine B = 18/82 = 9/41
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While making cupcakes for class you realize the recipe needs to be 314 times bigger. The recipe uses 23 cups of flour. So how much do you need total?
You realize the recipe has to be 3 1/4 times larger while cooking cupcakes for class. You need total 74.75 cups of flour.
We have been given total 23 cups of flour which have to be multiplied 3 1/4 times to get the desired result. So,
the flour needed = 23 × 3 1/4
= 23 × 13/4
= 299 / 4
= 74.75 cups of flour
Multiplication is a mathematical operation that embodies the fundamental concept of repeated addition of the same integer.
The multiplied numbers are known as the factors, and the result of the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to make repetitive adding of the same number easier.
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Correct question:
While making cupcakes for class you realize the recipe needs to be 3 1/4 times bigger. The recipe uses 23 cups of flour. So how much of flour do you need total?
Directed line segment CI has endpoints C(-3, -5) and H(4, 4). Determine the point that partitions the line segment into a 3 : 2 ratio.
Complete the ordered pair.
The point that partitions line segment CI into a 3:2 ratio is (2/5, -2/5). The complete ordered pair is (2/5, -2/5).
Now, To find the point that partitions line segment CI into a 3:2 ratio, we can use the formula for finding the coordinates of a point that divides a line segment into a given ratio.
Let's the point we're looking for P.
To find P, we need to use the formula:
P = ( (2Bx + 3Ax) / 5, (2By + 3Ay) / 5 )
Where A is the first endpoint of the line segment, B is the second endpoint, and x and y represent the coordinates.
Plugging in the values from the problem, we get:
P = ( (24 + 3(-3)) / 5, (24 + 3(-5)) / 5 )
Simplifying this expression gives us:
P = ( 2/5, -2/5 )
Therefore, the point that partitions line segment CI into a 3:2 ratio is (2/5, -2/5). The complete ordered pair is (2/5, -2/5).
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