S
98
R
20
X
31°
I Need Help so confused rn

S98R20X31I Need Help So Confused Rn

Answers

Answer 1

The value of the side x = 114. 34

How to determine the value

We have that the six different trigonometric identities in mathematics are listed thus;

cosinesinetangentcotangentsecantcosecant

We also have that their ratios are given as;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the diagram, we have;

Adjacent side = 98

Hypotenuse = x

Angle = 31

cos 31 = 98/x

cross multiply

x = 114. 34

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Related Questions

when choosing between one-tailed and two-tailed tests, group of answer choices use a two-tailed test only if you have a convincing reason for not predicting a direction. use the one that is most likely to produce significant results. use a one-tailed test only if you have a convincing reason for predicting the direction. always use two-tailed tests.

Answers

The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.

The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.

If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.

This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.

And is more conservative in its estimation of significance.

If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.

This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.

And is more powerful in detecting significant results in that specific direction.

Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

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Can someone please help me I’m stuck on this.

Round 0.3391 to
the thousandths place.

Answers

Answer:

.3390 or just .339

Step-by-step explanation:

the answer to your question is.. 0.339 :))



In a survey of 1015 adults, a polling agency asked, "When you retire, do you think you will have enough money to live comfortably or not. Of the 1015 surveyed, 537 stated that they were worried about

having enough money to live comfortably in retirement Construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.

Answers

We can be 90% confident that the proportion of adults worried about having enough money to live comfortably in retirement lies between 50.33% and 55.47%.

In the given survey, 537 out of 1015 adults expressed concern about having enough money to live comfortably in retirement.

To calculate the proportion (p) of adults with this concern, divide 537 by 1015: p = 537/1015 ≈ 0.529.

To construct a 90% confidence interval for the proportion, we'll use the formula:

CI = p ± Z * √(p(1-p)/n)

where Z is the Z-score corresponding to a 90% confidence level (1.645), p is the proportion, and n is the sample size (1015).

First, calculate the standard error:

SE = √(0.529 * (1-0.529) / 1015) ≈ 0.0156.

Next, find the margin of error: ME = 1.645 * 0.0156 ≈ 0.0257.

Finally, construct the 90% confidence interval: CI = 0.529 ± 0.0257, which results in a lower limit of 0.5033 and an upper limit of 0.5547.

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Nina and Jo both ran a 13 km race.
Nina took 2 hour 10 minutes to run the whole race.
Jo started the race 7 minutes later than Nina but caught up when they had both travelled 11 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?

Answers

We will see that Jo's speed, rounded to 2 digit places, is:

S =  6.42 km/h

How to get Jo's speed?

Remember that:

speed = distance/time.

Nina takes 2 hours and 10 minutes to finish the race, first, let's write the time in hours:

1 hour = 60 min.

Then:

10 min = (10/60) hours = 0.167 hours.

So we can write the time as:

2.167 hours.

And the distance is 13km, so her speed is:

S = 13km/2.167h = 6 km/h

The time that she takes to reach a distance of 11km (where she meets with Jo) is:

T = 11km/(6 km/h) = 1.83 hours.

Now, Jo starts 7 minutes after Nina, then the time in which he travels the 11 km is:

1.83 hours - 7 minutes.

Where:

7 min = (7min/60 min) hours = 0.117h

Then the time is:

T= 1.83h - 0.117h = 1.713 hours.

So he travels 11km in 1.713 hours, then his speed is:

S = 11km/ 1.713 hours = 6.42 km/h

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11 out of the 22 balloons in a bunch are pink.

What is the probability that a randomly selected balloon will be pink?

Write your answer as a fraction or whole number.

Answers

The probability that a randomly selected balloon will be pink is 1 / 2.

How to find probability?

Eleven out of the twenty two balloons in a bunch are pink. Therefore, the probability that a randomly selected balloon will be pink can be calculated as follows:

Therefore, probability means possibility.

Hence,

probability  = number of favourable outcome to the number of pink balloons / total number of possible balloons

Therefore,

probability that a randomly selected balloon will be pink = 11 / 22

probability that a randomly selected balloon will be pink  = 1 / 2

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What is the end behavior of the function

What is the end behavior of the function

Answers

Answer:

A

Step-by-step explanation:

Because its the right answer

Laura babysat 8 nights during the month of July. She earned $22, $30, $35, $25, $25, $20, and $27 for seven nights. How much did she earn the eighth time if the mean of the data is $26.50?

Answers

Answer:

$28

Step-by-step explanation:

Given:

data = [22,30,35,25,25,20,27]

For eight night, the new list is:

new_data = [22,30,35,25,25,20,27,x]

Mean = 26.50

Mean Formula:

\(\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }\)

Therefore:

\(\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}\)

Multiply both sides by 8:

\(\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}\)

Solve for x:

\(\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}\)

Subtract 184 both sides:

\(\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}\)

Therefore, she will earn $28 in eighth night

The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.

Laura babysat 8 nights during the month of July. She earned $22, $30, $35, $25, $25, $20, and $27 for

Answer: $28.

Step-by-step explanation: To solve this problem, we should first find the mean of the data with the seven payments that are given already:

22 + 30 + 35 + 25 + 25 + 20 + 27 = 184.

184 / 7 = 26.2857142857.

In order to figure out how much she made the eighth night with the mean of the data being $26.50, we can pick a number and add it to 184 (the total of the seven payments), and divide the total by 8.  The number we can try is 28. The work is done below:

184 + 28 = 212.

212 / 8 = $26.50.

Therefore, Laura's payment on the eighth night was $28.

Hope this helps! :)

Write the equation of the line in Point-Slope form
that has a slope of 1/3 and passes through the point (6,1)

Answers

Y=1/3-1. This is good

Answer: \(y-1=\frac{1}{3} (x-6)\)

Point slope form is: \(y-y_{1} = m (x-x_{1} )\), where m=slope and y1 & x1 is the point given. So plug the slope 1/3 and point (6,1) into the spots to make it into point slope form.

Determine if 0.515115111511115111115... is rational or irrational and give
reason for your answer.

Answers

it’s rational, for a number to be rational you have to be able to write it as a fraction and you can write 0.515115111511115111115... as a fraction.

The number  0.515115111511115111115... is a irrational number .

What are rational numbers?

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number,

Rational numbers are finite and repeating decimals

0.888888 is a rational number because it is recurring in nature.

What are irrational numbers?

Irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios. Ex: π, √2, e, √5

Irrational numbers are infinite and non-repeating.

0.21211211 is an irrational number as it is non-recurring and non terminating in nature.

According to the question

Number = 0.515115111511115111115...  

Now,

The number is non - terminating and non recurring that imply it is a irrational number .

Hence, The number  0.515115111511115111115... is a irrational number .

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a password is to be 4 to 6 characters long. the first character must be a digit but not 0. the rest of the characters can be any letter or digit. how many such passwords are possible?

Answers

On solving the provided question we can say that on permutation choose which two of the six positions contain the two digits = 685464000

what is permutation?

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order.

Assuming we regard upper and lower case letters as different, there are  52^4 ways = 7311616 ways

sequences of four letters and 100 sequences of two digits

there are 15 ways choose which two of the six positions contain the two digits = 685464000

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If f(x) = 6x 9 and g(x) = x + 6,
which statement is true?
Click on the correct answer.
6 is not in the domain of fºg.
6 is in the domain of fºg.

Answers

The number 6 is in the domain of fºg.

How to determine the true statement?

The functions are given as:

f(x) = 6x - 9

g(x) = x + 6

The composite function f o g is calculated as:

(f o g)(x) = f(x) * g(x)

This gives

(f o g)(x) = (6x - 9) * (x + 6)

Expand

(f o g)(x) = 6x^2 + 36x - 9x - 54

Evaluate

(f o g)(x) = 6x^2 + 27x - 54

The above function is a quadratic function, and it can take any real number as its input

Hence, 6 is in the domain of fºg.

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How do you graph two equations with two variables?.

Answers

Find the x and y-intercepts of the line. Let y and solve for x. Let x and solve for y. Find a third solution to the equation. Plot these three coordinates and check that they line up. Draw the line.

Let the equation be y = Px + Qz. P and Q are constants, and x and z are 2 variables.

Firstly, make one variable 0, z = 0. This implies that you are dealing with only two variables, so you can make a graph(1) on X and Y axis. A simple line passes through the origin. Now take z = 1, and plot on the same plane, i.e., Plot y = Px + Q (this will be graph 2). Similarly, for all z. You will get a set of parallel lines separated by B.

Then you realize that only Graph(1) belongs to the z = 0 plane. and Graph(2) belongs to z = 1 plane and so on for z = 2, 3, 4….

So all you get is a Plane with slope P with respect to the x-axis and slope Q with respect to slope Q.

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If you are standing 75 ft away from a tree and looking up at the top at a 40° angle, what is the height of the tree?

Answers

Answer:

Step-by-step explanation:

If you are standing 75 ft away from a tree and looking up at the top at a 40 angle, what is the height

Help, please????????

Help, please????????

Answers

9514 1404 393

Answer:

  E)  25.5 units²

Step-by-step explanation:

The figure is not carefully drawn, so it is difficult to tell that it is a trapezoid. The "height" of it is BC, the diagonal of a rectangle that is 1 unit by 4 units. The Pythagorean theorem tells you that length is ...

  BC = √(1² +4²) = √17

We notice that the "bases" of the trapezoid (CD and AB) are 1 and 2 times this length. The trapezoid area formula tells us the area is ...

  A = 1/2(b1 +b2)h

  A = 1/2((√17)(1 +2))(√17) = 3/2(17) = 25.5 . . . . square units

_____

Alternate solution

Pick's Theorem is a theorem that can help you find the area of a polygon when its vertices are all on grid points. It tells you the area is ...

  A = i + b/2 -1

where i is the number of grid points interior to the figure, and b is the number of grid points on the boundary. Here, the boundary grid points are those that are labeled plus the one at (-2, 1). Counting the interior grid points gives a total of 24, so the area by Pick's theorem is ...

  A = 24 + 5/2 -1 = 25.5 . . . square units

__

Additional comment

Once you're familiar with Pick's theorem (and/or any of a few other methods of computing area from coordinates), you see that the area of any polygon whose vertices are grid points will be an integer multiple of 1/2. The only such answer choice here is choice E.

how do i do this please help

how do i do this please help

Answers

All of the numbers are on the Y-axis









A tank of water in the shape of a cone is being filled with water at a rate of 12 m/sec. The base radius of the tank is 26 meters, and the height of the tank is 18 meters. At what rate is the depth of

Answers

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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ASAP PLEAE HELP I WILL GIVE BRAINEST!

LOOK AT RHE PICTURE

ASAP PLEAE HELP I WILL GIVE BRAINEST!LOOK AT RHE PICTURE

Answers

Answer:

answer is false

Step-by-step explanation:

Identify the outer layer in the data set of plague amounts then describe the effect the outer layer has on the mean and the median

Answers

The outer layer in a data set of plague amounts refers to outliers or extreme values. The presence of outliers in a data set can have a significant effect on the measures of central tendency, particularly the mean and median.

Outliers are data points that fall significantly far from the majority of the data, either higher or lower. The mean is calculated by adding together all the values and dividing by the total number of values, and outliers can significantly affect this calculation.

On the other hand, the median only considers the position of the middle value, making it more resistant to the impact of outliers. Therefore, it is important to identify the outer layer or outliers in a data set of plague amounts to understand their impact on the measures of central tendency, particularly the mean.

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A circle with radius of \greenD{5\,\text{cm}}5cmstart color #1fab54, 5, start text, c, m, end text, end color #1fab54 sits inside a \blueD{11\,\text{cm} \times 11\,\text{cm}}11cm×11cmstart color #11accd, 11, start text, c, m, end text, times, 11, start text, c, m, end text, end color #11accd rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
plz help

Answers

Answer:

121cm −25πcm ≈42.46cm

Step-by-step explanation:

First, calculate the area of the whole figure, including the unshaded area.

(The area of a rectangle is the length times the width.)

Next, calculate the area of the inner figure.

π×5cm×5cm=25πcm

Finally, subtract the area of the inner circle from the area of the outer rectangle.

pleaseeee help ill give brainly

pleaseeee help ill give brainly

Answers

Answer:

c

Step-by-step explanation:

hope it helps

Answer:

A

Step-by-step explanation:

please mark me brainlist

a souvenir of the eiffel tower is scaled 1/80 at inch to 1 foot. if the total height of the tower is 1,069 feet, the approximate height of the souvenir of the eiffel tower to the nearest tenth is

Answers

well, let's convert 1 foot to inches, that'd be 12 inches per foot.

so we know that the souvenir is 1/80 in, to the actual of 12 inches on the Eiffel Tower, if the Tower itself is 1069 feet high, namely (1069)(12) inches, how high is the souvenir?

\(\begin{array}{ccll} \stackrel{in}{souvenir}&\stackrel{in}{actual}\\ \cline{1-2} \frac{1}{80}&12\\[1em] x&(1069)(12) \end{array}\implies \cfrac{ ~~ \frac{1}{80} ~~ }{x}~~ = ~~\cfrac{12}{(1069)(12)}\implies \cfrac{ ~~ \frac{1}{80} ~~ }{\frac{x}{1}}~~ = ~~\cfrac{12}{12828} \\\\\\ \cfrac{1}{80}\cdot \cfrac{1}{x}=\cfrac{1}{1069}\implies \cfrac{1}{80x}=\cfrac{1}{1069}\implies 1069=80x\implies \cfrac{1069}{80}=x\implies 13.4\approx x\)








5. What values of A, B and C will make the following two planes be parallel? What values will make them be perpendicular? T₁ = 2x - 5y + z-4 = 0 and 2 = Ax+By+ Cz + 10 = 0 [4 marks]

Answers

The values of A, B, and C that make the two planes parallel are:   A = (5B - C)/2and5B - 3C = |N₁||N₂|/2 and The values of A, B, and C that make the two planes perpendicular are:  A = (5B - C)/2and5B - 3C = 0.

Let's have a look at the planes. They are:

T₁ = 2x - 5y + z - 4 = 0 and T₂ = Ax + By + Cz + 10 = 0

Now we will try to solve the question using the concepts of vector and normal to the plane.

The vector and normal to the plane can be defined as follows:

A plane is a 2-dimensional surface that is defined by three points.

A normal is a vector that is perpendicular to the plane.

A vector is a quantity that has both magnitude and direction. Let's calculate the normal to both planes using the coefficients of x, y, and z in the equation of the planes.

The equation of the normal to a plane is given by:

N = ai + bj + ck where a, b, and c are the coefficients of x, y, and z in the equation of the plane.

Let's first find the normal to T₁.

The coefficients of x, y, and z are 2, -5, and 1, respectively.

Therefore, the normal to T₁ is given by:

N₁ = 2i - 5j + k

Now let's find the normal to T₂. The coefficients of x, y, and z are A, B, and C, respectively. Therefore, the normal to T₂ is given by:

N₂ = Ai + Bj + Ck

Now that we have found the normals to the two planes, we can determine if they are parallel or perpendicular based on the dot product of the two normals.

The dot product of two vectors is given by:

A.B = |A||B|cosθwhere A and B are two vectors, |A| and |B| are their magnitudes, and θ is the angle between them.

If the dot product of the two normals is zero, then the planes are perpendicular. If the dot product of the two normals is not zero, then the planes are parallel. In this case, we need to find the values of A, B, and C that make the two planes parallel or perpendicular.

Now let's find the dot product of the two normals:

N₁.N₂ = 2A - 5B + C

If the two planes are parallel, then their normals are parallel, which means that the dot product of the two normals is equal to the product of their magnitudes.

Therefore:

N₁.N₂ = |N₁||N₂|I

f the two planes are perpendicular, then their normals are perpendicular, which means that the dot product of the two normals is zero.

Therefore:

N₁.N₂ = 0

Now let's find the values of A, B, and C that make the two planes parallel or perpendicular. If the two planes are parallel, then their normals are parallel.

Therefore, the dot product of the two normals is equal to the product of their magnitudes.

Therefore:

2A - 5B + C = |N₁||N₂|I

f the two planes are perpendicular, then their normals are perpendicular.

Therefore, the dot product of the two normals is zero.

Therefore:2A - 5B + C = 0

Now let's solve the two equations for A, B, and C.

2A - 5B + C = |N₁||N₂|2A - 5B + C = 0A = (5B - C)/2

Substituting this value of A into the equation 2A - 5B + C = |N₁||N₂|, we get:

5B - 3C = |N₁||N₂|/2

Therefore, the values of A, B, and C that make the two planes parallel are:

A = (5B - C)/2and5B - 3C = |N₁||N₂|/2

The values of A, B, and C that make the two planes perpendicular are:

A = (5B - C)/2and5B - 3C = 0

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Match the following types of bias with the descriptions below. Each term is used only once. (Sampling Bias, Response Bias, Non-response Bias, Question Bias, Deliberate Bias) a) When people will not answer truthfully about a topic b) When people selected refuse to take part in the study c) Lying about your data or not representing groups from your population d) Phrasing questions in order to persuade people to give a certain answer. e) Not collecting the data with randomization or with a census

Answers

The following types of bias with the descriptions below: a) Response Bias, b) Non-response Bias. c) Deliberate Bias, d) Question Bias, e) Sampling Bias

a) Response Bias refers to when people will not answer truthfully about a topic, possibly due to social desirability bias or fear of judgment.

b) Non-response Bias occurs when people selected for a study refuse to participate, leading to a potential bias in the results as those who choose not to respond may differ from those who do.

c) Deliberate Bias occurs when researchers intentionally manipulate or distort data or fail to represent certain groups from the population, resulting in biased findings.

d) Question Bias refers to the phrasing of questions in a way that influences or manipulates respondents to give a specific answer, potentially biasing the results.

e) Sampling Bias arises when the data collection process does not involve randomization or does not include the entire population of interest, leading to a skewed representation of the population and potential biases in the results.

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The price of a 36 pack of chips is $5.40, what is the price of
one bag of chips?

Answers

Answer:

15 cents

Step-by-step explanation:

5.40/36 = .15

Answer:

15 cents

Step-by-step explanation:

5.40÷36=15 cents

hope it helps

Meena i ordering a taxi from an online taxi ervice. The taxi charge $3. 50 jut for the pickup and then an additional $1. 75 per mile driven. How much would a taxi ride cot if Meena i riding for 6 mile? How much would a taxi ride cot that i m m mile long?

Answers

The cab ride will cost you $14.

Cost is the quantity of money spent by a business or work to produce or create goods or services. It excludes the profit margin markup. Cost is the sum of money spent on making a good or product, as seen from the seller's perspective.

as stated in the inquiry, Meena I'm using an online taxi service to order a taxi.

The cab bills $3.50 for the pickup alone, plus an extra $1.75 for each subsequent mile driven.

The original taxi fare plus the number of kilometres multiplied by the 1.75-cent-per-kilometer cost of the additional drive equals 3.50 + 6 (1.75), which equals $14.

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Find whether x^n+y^h is disable by x-y(y not equal o)or not

Answers

Yes, it is equal x-y disable

Explain in words how to use the formula c=πd

Answers

The formula c=pi*d can be used to find circumference

A sociologist asserts that the success of college students (measured by cumulative grade point average) is linked to the income of their respective families. For a sample of 20 students, the correlation coefficient is 0.40. At the significance level of 0.01, can you conclude that there is a positive correlation between these two variables?

Answers

Yes, we can conclude that there is a positive correlation between the success of college students (measured by cumulative grade point average) and the income of their respective families.

For testing whether there is a significant correlation between two variables, we need to calculate the correlation coefficient r.

Given that the sample size (n) is 20, and the correlation coefficient (r) is 0.40. The test statistic value, t can be calculated using the formula:

(\(t = (r * \sqrt{n - 2} /\sqrt{1 - r^2} )\))

Therefore, substituting the values,

(\(t = (0.40 *\sqrt{20 - 2} / \sqrt{1 - 0.4^2} )\))

= 2.53

Using the t-table with 18 degrees of freedom (df = n - 2 = 20 - 2 = 18) at a significance level of 0.01, we find that the critical value of t is 2.878.

Since the calculated value of t is less than the critical value of t, we fail to reject the null hypothesis.

Therefore, we can conclude that there is a positive correlation between the success of college students (measured by cumulative grade point average) and the income of their respective families.

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What past paper is this question from?


danil, gabriel and hadley share some money in the ratios 3:5:9 the difference between the amount of money that gabriel receives and the amount of money that hadley receives is 196 euros. work out the amount of money that danil receives

Answers

Danil receives €84 as he gets 1/3 of the total 2v amount of money.

What is ratio?

Ratio is a comparison between two or more numbers expressed in terms of a multiple, fraction, or percentage. Ratios are used to compare relationships between different measurements of data. They are typically expressed as a:b, where a and b represent two values. Ratios are used in various areas such as finance, mathematics, engineering, and statistics. Ratios can also be used to compare the relative sizes or values of two or more items.
This can be calculated by subtracting the amount Hadley receives (9/17 × 196 = 108) from the amount Gabriel receives (5/17 × 196 = 140). 140 - 108 = 84.
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Please answer with the work shown

Please answer with the work shown

Answers

The perimeter first figure that is made of a square and equilateral triangle is 52 cm.

What exactly are squares?

A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The features of a rectangle are similar to those of a square, but the distinction is that a rectangle has just its opposing sides equal.

A square's most significant qualities are

The four inner angles are 90 degrees.The four sides of the square are congruent, or equal.The square's opposing sides are parallel.The diagonals of the square intersect at 90°.The square's two diagonals are equal to each other.

The diagonal of a square is divided into two isosceles triangles.

Square area=(side)²

Square perimeter=4*side

Now,

For first figure given that

sides of square are 14 cm in length

and length of side of equilateral triangle are=5 cm

but for finding perimeter of the figure only 3 sides of square and 2 sides of triangle are needed.

So, perimeter=3*14+2*5

=42+10

=52 cm

hence,

         The perimeter first figure 52 cm.

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