Answer:
\(\mathsf {126.6}\)
Step-by-step explanation:
\(\textsf {Finding angle A :}\)
\(\mathsf {A + B + C = 180}\)
\(\mathsf {A + 85 + 53 = 180}\)
\(\mathsf {A + 138 = 180}\)
\(\mathsf {A = 42}\)
\(\textsf {Applying the Law of Sines :}\)
\(\mathsf {\frac{sinA}{BC} = \frac{sinB}{AC}}\)
\(\mathsf {\frac{sin42}{85} = \frac{sin85}{AC}}\)
\(\mathsf {AC = \frac{0.996 \times 85}{0.669}}\)
\(\mathsf {AC = 126.6}\)
Answer:
○ \(\bf 126.5\)
Step-by-step explanation:
To solve this problem, we need to use the law of sines, which states that the ratios of the sines of angles and their opposite sides are equal for all angles inside a triangle.
\(\boxed{\frac{a}{sin \space\ A} = \frac{b}{sin \space\ B} = \frac{c}{sin \space\ C}}\).
To use the law of sines to find a length, we need to have at least one angle whose measure and length of opposite side is known.
In this case, the only side whose length we know is BC = 85, but we don't know the measure of its corresponding angle (∠ A).
Let's find ∠ A:
∠ A + 85° + 53° = 180° [angles in a triangle add up to 180°]
⇒ ∠ A + 138° = 180°
⇒ ∠ A = 42°
Now we can use the law of sines to find the length of AC:
\(\frac{AC}{sin(85^{\circ})} = \frac{85}{sin(42^{\circ})}\)
⇒ \(AC = \frac{85 \times sin(85^\circ)}{sin (42^\circ)}\)
⇒ \(AC = \bf 126.5\)
helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee
Answer:
20. A. y= 10x = 15
21. C. Php 75.00
22. B. Php 195.00
Step-by-step explanation:
She has to pay 25 Pesos for one hour and only ten more each hour after that. That can be represented in the formula Y= 10x +15. To solve the rest of the questions, just substitute 6 hours for question 21 and 18 hours for question 22.
Fiona’s engagement ring from Prince Harry is valued at more than $3 million.
Write a response to the following questions:
What are two possible values for the price of the ring? Explain
How can you use a number sentence to represent this amount?
Since the value of the ring is “more than” $3 million, the possible values have to be greater than $5 million. There are many possibilities but two examples could be $4 million or $3.5 million.
Write a response to the following questions:
How can you determine if you use “equal to” in your inequality comparison?
Can an equation, with an equal sign, have more than one solution? Explain.
At the end of this assignment you should have answers to the four questions as stated above as they correlate with the statements given:
What are two possible values for the price of the ring? Explain
How can you use a number sentence to represent this amount?
How can you determine if you use “equal to” in your inequality comparison?
Can an equation, with an equal sign, have more than one solution? Explain.
Create a document to capture your responses. Make sure to explain each question with at least 3 complete sentences. Upload to Dropbox when complete.
Yes, The equation has two valid solutions.The value of Fiona’s engagement ring from Prince Harry may be more than $3 million,
but this information does not directly relate to the concept of equations with more than one solution.
an equation with an equal sign can have more than one solution. This happens when there are different values that can satisfy the equation, making them all valid solutions.
These types of equations are known as conditional equations. When solving a conditional equation, it is important to take into account any restrictions that may apply to the domain of the variable.
This helps to avoid extraneous solutions that may not work for the equation.For example, consider the equation x² - 9 = 0. This equation can be solved by taking the square root of both sides of the equation, which gives x = ±3.
This means that there are two solutions to the equation, x = 3 and x = -3. Both values can be substituted back into the equation and will satisfy it.
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Explain why 5.12 x 4 equals 20.48 with numbers.
Answer: 20.48
Step-by-step explanation: you add 5.12 four time then you get 20.48.
Answer the following questions: What was the surface area and volume of the prism? Do you think you could use the same formula to find the surface area and volume of other prisms? Why or Why not?
Answer:
The formula for solving surface area is LxWxH (LengthxWidthxHeight)
And the formula for solving area is LxW (LenghtxWidth)
Step-by-step explanation:
I hope this helps. I didnt really see any pictures for this.
Answer: 1. 60 square centimeters and the volume was 24 cm3
2. Yes, because if you have length, width and height, that's really all the information you need to find out the area, volume, perimeter, surface area, ect!
Step-by-step explanation: Hope this helps! :)
(I had the same question btw)
The table shows the relationship between the number of calories Darrell Burns while kayaking and the number of minutes he kayaks
How many calories will Darrell burn in 1 minute while kayaking? Please I need help :(
The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:
4 calories.
How to obtain the number of calories?The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.
For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:
4 calories.
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in a local university 70% of the students live in the dormitories. A random sample of 75 students is selected for a particular study The probability that the sample proportion (the proportion living in the dormitories) is at least 0.60 is
a.0.0294
b.0.9706
c.0.0228
d. 0.9772
The probability that the sample proportion is at least 0.60 is 0.0294.
Given data,
In a local university, 70% of the students live in dormitories. A random sample of 75 students is selected for a particular study The probability that the sample proportion (the proportion living in the dormitories) is at least 0.60 is,
The sample size in this case,
n = 75
The proportion of students living in dormitories p,
⇒ 70% = 0.7
Since we are taking a distribution of 75-sample samples from the given population into consideration, we have:
The mean, p = 0.7
The standard deviation, s = √p * (1 − p)/n
= √0.7 * (1 − 0.7)/75
= 0.0529
Now, by figuring out their respective Z-scores, we can calculate the probability values corresponding to the supplied proportion values.
The Z-score for a proportion value of 0.60;
Z₀.₆₀ = (0.6 - p)/s
= (0.6 - 0.7)/0.0529
= -1.890
The Standard Normal Distribution table can be used to determine the corresponding probability. Consequently, the overall likelihood value for,
Z₀.₆₀ = -1.890
P-value from Z-Table,
P(x < 0.6) = 0.029355 = 0.0294
Hence, there is a 0.0294 percent chance that the sample proportion is at least 0.60.
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a surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect it t/f
The statement that "a surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect" is true.
The surface generated by a closed plane curve rotated about a line that lies in the same plane as the curve but does not intersect it is called a torus. The torus is a three-dimensional surface that can be thought of as a doughnut shape. The curve that generates the torus is called the generator, and the line about which the curve is rotated is called the axis of rotation. The torus has the interesting property that it has a hole in the center, and the distance from any point on the surface to the center of the torus is constant.
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The lowest parking level is 15 meters below street level, and the 17th story is 51 meters above street level. If the elevator rises at a rate of 2 meters per second, how long in seconds, could q person ride the elevator when stating from the lowest level
Answer:
15 +51 = 66 meters total
66 /2 = 33 seconds
and that is your answer
Identify a product/service that is currently in the decline stage. Use the Product Lifecycle Concept to explain why you believe the product/service is at that stage .
Describe the strategic options for companies that are competing in a declining market. Provide specific examples too illustrate what these strategic options entail and how they differ .
One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.
DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.
In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.
Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.
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x - 14 = 13 What value of x makes this equation true
Answer:
X
=
27
Step-by-step explanation:
help? ill mark brainliest
Answer:
In scientific notation itll be 1.5288e+14
Step-by-step explanation:
Multiply light year equation times how many light years vega is from earth (26)
oarticle moves along the x axis. Its position is given by the equation x=2.1+2.5t−3.5t
2
with x in meters and t in conds. (a) Determine its position when it changes direction. On The initial position is 2.1 m, the initial velocity is 2.5 m/s and the acceleration is −2×3.5 m/s
2
. Use the constant acceleration equations to determine the answer. m (b) Determine its velocity when it returns to the position it had at t=0 ? (Indicate the direction of the velocity with the sign of your answer.) m/s
(a) The position when the particle changes direction is approximately 2.449 meters.
(b) The velocity when the particle returns to the position it had at t = 0 is 2.5 m/s (positive direction).
(a) Determine the position when the particle changes direction:
The expression for position (x) as a function of time (t) is:
x = x₀ + v₀t + (1/2)at²
Plugging in the values:
x = 2.1 + 2.5t - 3.5t²
To find when the particle changes direction, we need to find the time (t) when its velocity (v) becomes zero. The velocity equation is the derivative of the position equation with respect to time.
v = dx/dt = d/dt(2.1 + 2.5t - 3.5t²)
Differentiating the equation, we get:
v = 2.5 - 7t
Setting v = 0, we can solve for t:
2.5 - 7t = 0
7t = 2.5
t = 2.5/7
t ≈ 0.357 seconds
Substituting this time back into the position equation, we can find the position when the particle changes direction:
x = 2.1 + 2.5(0.357) - 3.5(0.357)²
Calculating the value, we find:
x ≈ 2.449 meters
Therefore, the position when the particle changes direction is approximately 2.449 meters.
(b) Determine the velocity when it returns to the position it had at t = 0:
We can use the equation for velocity as a function of time to find the velocity when the particle returns to its initial position.
v = v₀ + at
Plugging in the values:
v = 2.5 + (-2 × 3.5)(t)
At t = 0, the particle is at its initial position, so we substitute t = 0:
v = 2.5 + (-2 × 3.5)(0)
v = 2.5 m/s
The velocity is positive (2.5 m/s) since the particle is moving in the positive x-direction when it returns to its initial position.
Therefore, the velocity when the particle returns to the position it had at t = 0 is 2.5 m/s (positive direction).
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two identical urns contain balls. one of the urns has 6 red balls and 3 blue balls. the other urn has 5 red balls and 8 blue balls. an urn is chosen at random and a ball is drawn at random from this urn. if the ball turns out to be red, what is the probability that this is the urn with 6 red balls? use bayes' theorem
The probability that this is the urn with 6 red balls if the ball turns out to be red = 0.5188
In this question we have been given two identical urns contain balls.
One of the urns has 6 red balls and 3 blue balls. the other urn has 5 red balls and 8 blue balls.
An urn is chosen at random and a ball is drawn at random from this urn.
We need to the probability that this is the urn with 6 red balls if the ball turns out to be red.
P(Urn 1) = 1/2 ,
P(urn 2) = 1/2
P(red ball from urn 1) = 6/9
= 2/3
P(red ball from urn 2 ) = 5/13
Using conditional probability,
P(Urn 1 | red ball) = P( Urn 1 and red ball) / P(red ball)
By Baye's theorem
P(Urn 1 | red ball)
= P( Urn 1 and red ball) / [ P( Urn 1 and red ball) + P( Urn 2 and red ball) ]
= (1/2 * 6/11) / [(1/2 * 2/3) + (1/2 * 5/13)]
= (6/22) / (1/3 + 5/26)
= 0.2727 / 0.5256
= 0.5188
Therefore, the required probability is 0.5188
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Marta like to make soup during winter months. no matter how much soup she makes, she always freezes 32 ounces to save for later
Answer:
60-32
Step-by-step explanation:
i had the same thing
Evaluate, if f = 3 and g = -2.
3f – g^2
Answer:
5
Step-by-step explanation:
\(3f - {g}^{2} \\ = 3 \times 3 - ( { - 2})^{2} \\ = 9 - 4 \\ = 5\)
A group of friends wants to go to the amusement park. They have $121 to spend on parking and admission . Parking is $5, and tickets cost $14.50 per person , including tax. Which tape diagram could be used to represent the context if p represents the number of people who can go to the amusement park?
What happened when the giraffe stepped on the grape?
What are you asking? Is there a unit of measurement/weight for the grape and giraffe?
Answer both for brainly pro
You have a $50 gift card to go shopping for school supplies. You buy 2 packs of pencils, 5 notebooks. 6 folders, 1 pack of pens, 3 packs of paper, 1 pack of highlighters, and 2 binders.
pens: $1.57
pencils: $1.98
folder: $0.75
highlighter: $3.45
notebooks: $2.95
binders: $3.55
paper: $0.69
What value represents the change in value of the gift card after buying your school supplies ?
The value of the gift card declined by $37.40.
The total cost of all the items purchased has to be determined.
Total cost of pens = $1.57 x 1 = $1.57Total cost of pencils = $1.98 x 2 = $3.96Total cost of folders = $0.75 x 6 = $4.50 Total cost of highlighter: $3.45 x 1 = $3.45Total cost of notebooks: $2.95 x 5 = $14.75Total cost of binders: $3.55 x 2 = $7.10Total cost of paper: $0.69 x 3 = $2.07The sum of these items is $37.40
Change in value = value of the gift card - cost of items
$50 - $37.40 = $12.60
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Answer:
Total cost of pens = $1.57 x 1 = $1.57
Total cost of pencils = $1.98 x 2 = $3.96
Total cost of folders = $0.75 x 6 = $4.50
Total cost of highlighter: $3.45 x 1 = $3.45
Total cost of notebooks: $2.95 x 5 = $14.75
Total cost of binders: $3.55 x 2 = $7.10
Total cost of paper: $0.69 x 3 = $2.07
The sum of these items is $37.40
Change in value = value of the gift card - cost of items
$50 - $37.40 = $12.60
Step-by-step explanation:
1.) if team a and team b plays 7 times, win, loose and tie are possible outcomes, how many different outcomes are possible. 2.) of all the possible outcomes in problem 1, how many of them are, team a wins 2 games, looses 3 games and 2 games are tie.
The number of outcomes where team A wins 2 games, loses 3 games, and ties 2 games is 210.
In problem 1, there are three possible outcomes for each game: win, loose, or tie.
So, for seven games, there are 3x3x3x3x3x3x3 = 2187 different outcomes.
For problem 2, we need to calculate the number of ways that team A can win two games, lose three games, and tie two games.
To do this, we can use the binomial coefficient formula, which is (n choose k) = n!/(k!(n-k)!).
In this case, n=7 (the total number of games), k=2 (the number of games that team A wins), and m=2 (the number of games that team A ties).
So the number of outcomes where team A wins 2 games, loses 3 games, and ties 2 games is (7 choose 2)(5 choose 3)(2 choose 2) = 210.
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Can someone help me I’ve already done it once and can’t redo it after this try I got them all wrong. Pls help
8a + 12b = 92 please answer within a hour
(4, 65/13) is the solution to the given system of equation
Solving simultaneous equationGiven the simultaneous equation below
8a + 12b = 92
6a – 4b = 4
This can be further simplified to have:
2a + 3b = 23 ............. 1
3a – 2b = 2 ............... 2
Multiply equation 1 by 3 and 2 by 2 to have:
6a + 9b = 69
6a - 4b = 4
Subtract both equations
9b + 4b = 69 - 4
13b = 65
b = 65/13
Substitute b = 65/13 into equation 2 to have:
3a – 2b = 2 .
3a – 2(65/13) = 2
3a - 10 = 2
3a = 12
a = 4
Hence the solution to the given equation is (4, 65/13)
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Complete question
Solve the simultaneous equation
8a + 12b = 92
6a – 4b = 4
2. Pilihan ganda30 detik1 ptQ. Which of the following algebraic rules represents a dilation?Pilihan jawaban(x, y) --> (3x, 3y)(x, y) --> (3x, 2y)(x, y) --> (x - 3, y + 5)(x, y) --> (0.5x, 0.5y)(x, y) --> (3x, 0.5y)
Answer:
Is 50
Step-by-step explanation:
I don’t know
Can you Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It’s neither
Step-by-step explanation:
4(x+2) = 4x +8 and neither Jason nor Isabella got it
what number do you need to subtract from 100 to get 41?
100 - 41 = 59
so 100 - 59 = 41
Answer 59
The number you need to subtract from 100 to get 41 is 59
How to determine the number you need to subtractTo find the number you need to subtract from 100 to get 41, you can use the subtraction formula:
Subtraction = Initial number - Result
Given:
Initial number = 100
Result = 41
Subtraction = 100 - 41
Subtraction = 59
So, you need to subtract 59 from 100 to get 41.
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Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third day,
and so on. On which day will Roberta jog 13 laps if the pattern continues ?
Answer:
Sixth day
Step-by-step explanation:
Keep adding 2 until you get to 13
Write the verbal phrase as a algebraic expression
twice a number divided by 7
What is monomial representations and symmetric presentations?
Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).
Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.
Step-by-step explanation:
Using the following diagram, solve for X.
Answer:
17.5
Step-by-step explanation:
FILL IN THE BLANK. If n(E1 and E2​)=3
and
​n(E1​)=12​,
then
​P(E2​|E1​)=​_______.
If n(E1 and E2) = 3 and n(E1) = 12, then P(E2|E1) = 1/4. To find the probability P(E2|E1), given that n(E1 and E2) = 3 and n(E1) = 12, we'll use the conditional probability formula. The formula is P(E2|E1) = P(E1 and E2) / P(E1).
Step 1: Find the probabilities of the events.
P(E1) = n(E1) / total outcomes = 12 / total outcomes
P(E1 and E2) = n(E1 and E2) / total outcomes = 3 / total outcomes
Step 2: Plug the probabilities into the conditional probability formula.
P(E2|E1) = P(E1 and E2) / P(E1)
Step 3: Substitute the values from Step 1 into the formula.
P(E2|E1) = (3 / total outcomes) / (12 / total outcomes)
Step 4: Simplify the expression.
P(E2|E1) = 3/12
Step 5: Reduce the fraction to the simplest form.
P(E2|E1) = 1/4
So, the probability of event E2 occurring given that event E1 has occurred is 1/4 or 0.25.
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