along how many different directions do you need to measure strain during testing in order to determine poisson's ratio?
Answers
To determine Poisson's ratio, you need to measure strain along two different directions during testing.Poisson's ratio (ν) is a material property that describes the relationship between the lateral strain and the axial strain in a material when it is subjected to uniaxial stress.
Here's an explanation including the key terms:
Poisson's ratio (ν) is a material property that describes the relationship between the lateral strain and the axial strain in a material when it is subjected to uniaxial stress. In simpler terms, it tells you how much a material will deform in one direction when it is stretched or compressed in another direction.
To calculate Poisson's ratio, you need to measure strain along two different directions. The first direction is the axial direction, which is parallel to the applied force. This is known as axial strain (εa). The second direction is perpendicular to the axial direction, and this is called lateral strain (εl).
Poisson's ratio is calculated using the following formula:
ν = - (εl / εa)
To determine Poisson's ratio during testing, follow these steps:
Apply a uniaxial stress to the material, either through compression or tension.
Measure the axial strain (εa) along the direction of the applied force. This is typically done using a strain gauge or similar device.
Measure the lateral strain (εl) in a direction perpendicular to the applied force. This can also be done using a strain gauge.
Calculate Poisson's ratio (ν) by dividing the negative of the lateral strain (εl) by the axial strain (εa).
By measuring strain along these two directions and applying the formula, you can accurately determine the Poisson's ratio for the material being tested.
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Related Questions
Ten cards are selected out of a 52 card deck without replacement and the number of Jacks is observed. This is an example of a Binomial Experiment.
true
false
Answers
The statement "Ten cards are selected out of a 52 card deck without replacement and the number of Jacks is observed. This is an example of a Binomial Experiment" is false.
What is a Binomial Experiment?A binomial experiment is an experiment that is repeated multiple times with each repetition having only two potential outcomes. In a binomial experiment, the probability of success remains constant from trial to trial.
The criteria for a binomial experiment are as follows:
The experiment is made up of a fixed number of trials.There are only two possible results for each trial: success and failure.The probability of success for each trial is the same.The trials are all independent of one another.The formula for calculating the probability of x successes in n trials is:P(x) = (ⁿCₓ)(pˣ)(q^(n-x))
Where p is the probability of success, q is the probability of failure (q = 1 - p), and ⁿCₓ is the combination formula.
Therefore, the statement "Ten cards are selected out of a 52-card deck without replacement and the number of Jacks is observed. This is an example of a "Binomial Experiment" being false. This is because the probability of drawing a jack changes with each trial, as the deck's composition changes after each card is drawn.
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To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Answers
Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.
Identify the linear equation?Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12
We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.
Take the provided linear equation system into consideration.
3x - 2y = 4 ................(1)
9x - 6y = 12 ..................(2)
Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12
The slopes of the provided equations are also same.
Difference with regard to x for equation (1) yields,
additional to equation (2),
With regard to x, we can differentiate to get,
The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.
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Plz help me............
Answers
Answer:
Oh wow thanks lol
Devin says if a triangle has the side lengths of 6, 6√3, and 12, then the triangle is a 30- 60-90 triangle. Glenn says if a triangle has the side lengths of 7, 7√3, and 49, then the triangle is a 30- 60-90 triangle.
Who is correct and why?
A. Both because the middle side length is the square root of 3 times the smallest side.
B.Neither because the middle side length is the square root of 3 times the largest side, not the smallest side.
C. Devin because the second side length is the square root of 3 times the measure of the smallest side length and the largest side is twice the smallest side.
D.Glenn because the second side length is the square root of 3 times the measure of the smallest side length and the largest side is the square of the smallest side.
Answers
Answer:
Step-by-step explanation:
30-60-90 triangles
30-60-90 triangles are right triangles whose acute angles are
3
0
∘
30
∘
30, degrees and
6
0
∘
60
∘
60, degrees. The sides in such triangles have special proportions:
A thirty-sixty-ninety triangle. The length of the shorter leg of the triangle is one half h units. The length of the longer leg of the triangle is square root three over two times h. The length of the hypotenuse of the triangle is h units.
A thirty-sixty-ninety triangle. The length of the shorter leg of the triangle is one half h units. The length of the longer leg of the triangle is square root three over two times h. The length of the hypotenuse of the triangle is h units.
[How can we find these ratios using the Pythagorean theorem?]
Want to learn more about 30-60-90 triangles? Check out this video.
45-45-90 triangles
45-45-90 triangles are right triangles whose acute angles are both
4
5
∘
45
∘
45, degrees. This makes them isosceles triangles, and their sides have special proportions:
A forty-five-forty-five-ninety triangle. The length of both legs are k units. The length of the hypotenuse of the triangle is square root of two times k units.
A forty-five-forty-five-ninety triangle. The length of both legs are k units. The length of the hypotenuse of the triangle is square root of two times k units.
[How can we find these ratios using the Pythagorean theorem?]
The special properties of both of these special right triangles are a result of the Pythagorean theorem.
so A is right. i hope
Devin because the second side length is the square root of 3 times the measure of the smallest side length, and the largest side is twice the smallest side. Glenn's claim is incorrect because his triangle's side lengths do not match the 30-60-90 ratio, unlike Devin's triangle, which satisfies the conditions of a 30-60-90 triangle.
A 30-60-90 triangle has specific side length ratios: the sides opposite the angles measuring 30 degrees, 60 degrees, and 90 degrees are in the ratio 1:√3:2. Let's analyze the claims made by Devin and Glenn:
Devin's claim:
Devin states that a triangle with side lengths of 6, 6√3, and 12 is a 30-60-90 triangle. To verify this, we need to check if the side lengths satisfy the 30-60-90 ratio. If we divide the longest side by 2, we get 12/2 = 6, which matches the length of the shortest side. Also, the middle side (6√3) is indeed √3 times the length of the shortest side (6). Thus, Devin's claim is correct, and the triangle with side lengths 6, 6√3, and 12 is a 30-60-90 triangle.
Glenn's claim:
Glenn states that a triangle with side lengths 7, 7√3, and 49 is a 30-60-90 triangle. Again, we need to check if the side lengths satisfy the 30-60-90 ratio. However, upon examination, we find that dividing the longest side by 2 (49/2) does not result in the length of the shortest side (7). Also, the middle side (7√3) is not √3 times the length of the shortest side (7). Therefore, Glenn's claim is incorrect, and the triangle with side lengths 7, 7√3, and 49 is not a 30-60-90 triangle.
Hence the correct option is (c).
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agriculturalists are interested in determining if there is an increase in corn bushels per acre between one growing season and then the next growing season after being treated with a specialized fertilizer. in year one, 32 plots were randomly selected and their average bushels per acre calculated. in the following year, the same plots were treated with a specialized fertilizer and the average bushels per acre calculated again. the difference between the bushels per acre between both years was compared. what is the true mean difference from one year to the next in terms of average bushels per acre yield after being treated with a specialized fertilizer? what statistical procedure should be used to answer this research question?
Answers
The actual mean difference is what we're after. The optimum statistical method will be the matched-pairs t-confidence interval for means in order to determine the true mean difference of these paired data.
Given that,
Agriculturalists are interested in learning whether corn treated with a specialist fertilizer increases the number of bushels per acre between one growing season and the next. The average bushels per acre of 32 randomly chosen plots were determined in year one. The same plots were fertilized with a specific fertilizer the following year, and the average bushels per acre were once more determined. It was compared how much the bushels per acre varied between the two years.
We have to find what is the actual mean difference in average bushels per acre yield from one year to the next after being treated with a specific fertilizer. What statistical method should be applied to resolve this study problem.
We have repeated measures since the means for the same plots are being compared. The actual mean difference is what we're after. The optimum statistical method will be the matched-pairs t-confidence interval for means in order to determine the true mean difference of these paired data.
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A gardening center has 1,582 pots to fill. Each bag of soil can fill 4 pots. How many bags of soil are needed?
Answers
Answer:
395.5 bags of soil
Step-by-step explanation:
1582 pots in the gardening center will need 396 bags of soil to fill them.
What is unitary method?The unitary method is a process of finding the value of a single unit and using this value we can find the value of the required number of units.
Given is a gardening center that has 1,582 pots to fill. Each bag of soil can fill 4 pots.
Number of pots to filled = n[f] = 1582
Number of pots fille by 1 bag of soil = n[s] = 4
Now, 4 pots need 1 bag of soil. So 1 pot will need (1/4) bag of soil. Therefore, 1582 pots will need → (1/4) x 1582 which his equivalent to 395.5 or 396 bags (approximately).
Therefore, 1582 pots will need 396 bags of soil to fill them.
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Find the Length of the third side. If necessary, round to the nearest tenth.
Answers
let the unknown side be x , so we have :
25^2 = 20^2 + x^2
625 = 400 + x^2
x^2 = 625 - 400
x^2 = 225
x = √225
x = 15
PSR is a straight line.
Size of angle PQS : size of angle SQR = 3 : 1.
Work out the size of angle PSQ.
Any links/fake answers will be reported straight away.
Answers
If the line PSR is "straight-line", then measure of angle PSQ is 61°.
In the triangle PQR, the angle measures are :
measure of ∠QPS is 65°, measure of ∠PRQ is 43°,
It is already given that, Line PSR is a straight line, where the angles are divided in the ratio; (size of angle PQS) : (size of angle SQR) = 3:1,
We know that, interior angle's sum is 180°,
So, angle ∠PQR = 180° - (∠QPS + ∠PRQ)
Substituting the values,
We get,
measure of angle PQR = 180° - (65° + 43°) = 72°,
The angle PQR can be formed by the combination of two-angles, PQS and SQR,
So, we can write, ∠PQR = ∠PQS + ∠SQR; ...equation(1),
We know that the ratio of angle, PQS : SQR is 3:1,
We can write,
∠PQS = 3 × (∠SQR);
Substituting the value in equation(1),
We get,
measure of angle PQR = (3 × ∠SQR) + ∠SQR;
So, PQR = 4 × (∠SQR);
Substituting the value of angle-PQR as 72 degree,
We get,
72° = 4 × (∠SQR),
So, measure of angle SQR is 18°,
We also know that : ∠PQS = 3 × (∠SQR);
So, measure of angle PQS is 3 × 18° = 54°,
Next, We have measure of angle PSQ is = 180° - (65° + 54°) = 61°.
Therefore, size of angle PSQ is 61°.
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The given question is incomplete, the complete question is
PSR is a straight line. The size of angle PQS : size of angle SQR = 3 : 1,
Work out the size of angle PSQ.
An investor buys in a company and in the twelve months after she invests the value of the stock decreases by 30% , bu what amount will the value of the stock need to go up from there in order that the price of the stock will be equal to what the investor first paid for it ?
a:30%
b:37,5%
c:42. 9
d:45
e:46. 7
Answers
Answer:
B 37.5%
Step-by-step explanation:
Give an example of a vector such that together with forms a basis of.
Answers
we can solve the equation using the inverse of A:\(\[x = A^{-1}v = \begin{bmatrix} -1 & 2 & -5 \\ 5 & -9 & 20 \\ -1 & 2 & -4 \end{bmatrix} \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} = \begin{bmatrix} -4 \\ 16 \\ -3 \end{bmatrix}\]Therefore, the four vectors:\[u_1 = \begin{bmatrix} 1 \\ -1 \\ 2 \end{bmatrix} , \; u_2 = \begin{bmatrix} 2 \\ 1 \\ 0 \end{bmatrix} , \; u_3 = \begin{bmatrix} -1 \\ 3 \\ -1 \end{bmatrix} , \; v = \begin{bmatrix} -4 \\ 16 \\ -3 \end{bmatrix}\]\)form a basis of .
To do that, we will solve the equation:\[Ax = v\]where x is a column vector of three unknowns. We want v to be linearly independent from the columns of A, so we need the equation to have a unique solution. We can achieve that by taking v to be any vector that is not in the column space of A. For example, we can take:\\([v = \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}\]\)Then, we can solve the equation using the inverse of A:\(\[x = A^{-1}v = \begin{bmatrix} -1 & 2 & -5 \\ 5 & -9 & 20 \\ -1 & 2 & -4 \end{bmatrix} \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} = \begin{bmatrix} -4 \\ 16 \\ -3 \end{bmatrix}\]Therefore, the four vectors:\[u_1 = \begin{bmatrix} 1 \\ -1 \\ 2 \end{bmatrix} , \; u_2 = \begin{bmatrix} 2 \\ 1 \\ 0 \end{bmatrix} , \; u_3 = \begin{bmatrix} -1 \\ 3 \\ -1 \end{bmatrix} , \; v = \begin{bmatrix} -4 \\ 16 \\ -3 \end{bmatrix}\]\)form basis of .
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Help!! will give brainiest! please no joke answers this is due by midnight
Answers
2.6,9,15 (top row)
1,2,4 (bottom row)
3. (1,3), (2,6), (3,9), (4,12),(5,15)
4. Edeena walks 6 miles in 2 hours.
hope this helps
(1,3)
2 -
Top of chart - 3,6,9,12,15
Bottom of chart - 1,2,3,4,5
3 -
(1,3) (2,6) (3,9) (4,12) (5,15)
4 -
(The picture)
5 - Sadly not sure about this one
If f(x) is given as an equation and g(x) is given as a table, how i can tell they are inverses
Answers
Answer: f(x) and g(x) both represent y of the equations
Step-by-step explanation: f(x) and g(x) both represent the y of the equation for example f(x)=mx+b or g(x)+mx+b both would be to find y of that specific equation and that would also make them inverses because you could use the table to label the inverses on a graph.
Simplify and leave your answer in index form
Answers
Answer:8a^7
Step-by-step explanation:
Answer:
8a⁷ is the simplified form of 4a² x 2a⁵.Step-by-step explanation:
4a² x 2a⁵=> 4 x a² x 2 x a⁵=> 8 x a²⁺⁵=> 8 x a⁷=> 8a⁷Conclusion:
Therefore, 8a⁷ is the simplified form of 4a² x 2a⁵.
Hoped this helped.
\(BrainiacUser1357\)
a person pays $1 to play a certain game by rolling a single die once. if a 1 or 2 comes up, the person wins nothing. if, however, the player rolls a 3, 4, 5, or 6 he or she wins the difference between the number rolled and $1. find the expectation of this game. is the game fair?
Answers
A person pays $1 to play a certain game by rolling a single die once. if a 1 or 2 comes up, the person wins nothing. if, however, the player rolls a 3, 4, 5, or 6 he or she wins the difference between the number rolled and $1, this means that the game is not fair, based on the expected value
How do we determine the expected value of the game?We can see that the expected value of the game can be found by multiplying each payout by its probability of occurring and then summing up the results:Expected value = (0.2)($1) + (0.2)($1) + (0.2)($2) + (0.2)($3) + (0.2)($4) + (0.2)($0) + (0.2)($0)Expected value = $0.40 Since the expected value of the game is positive, it means that, over the long run, players are expected to make money on average. This means that the game is not fair.
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The local library lends an average of 68.24 books to readers each day. What is the average number of books lent to readers in a week?
Answers
Answer:
Step-by-step explanation:
Set this up as a proportion and solve. The ratios are books:day, so keep in mind that a week is 7 days because your values have to be the same
\(\frac{books}{day}:\frac{68.24}{1}=\frac{x}{7}\) and cross multiply to solve for x, the number of books lent out in a week:
x = 68.24(7) so
x = 477.68 books in a week
If two parallel lines are cut by non-perpendicular transversal, which type of angles are NOT congruent?
Answers
Point C is located at (1, 2) and point D is located at (−4, −2). Find the x value for the point that is 1 over 4 the distance from point C to point D. (5 points)
Answers
Check the picture below.
\(\textit{internal division of a segment using a fraction}\\\\ C(\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad D(\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})~\hspace{8em} \frac{1}{4}\textit{ of the way from }C\to D \\\\[-0.35em] ~\dotfill\\\\ \stackrel{~\hfill \textit{component form of segment CD}}{ (\stackrel{x_2}{-4}-\stackrel{x_1}{1}, \stackrel{y_2}{-2}-\stackrel{y_1}{2})\qquad \implies \qquad (-5~~,~~-4)} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hfill \textit{values to be added to Point C coordinates}} {\cfrac{1}{4}(-5~~,~~-4)\implies \cfrac{1}{4}(-5)~,~\cfrac{1}{4}(-4)\qquad \implies \qquad \left(-\frac{5}{4}~~,~~-1\right)} \\\\\\ \stackrel{\textit{addition of Point C coordinates and values}~\hfill } {\left(-\frac{5}{4}~~,~~-1\right)+\left( 1~~,~~2\right) \implies \left(-\frac{5}{4}+1~~,~~-1+2 \right)}\implies \underset{\stackrel{\uparrow }{x}\qquad }{\left(-\frac{1}{4}~~,~~1 \right)}\)
The triangles are similar, find the length of the unknown side. Round your answers to the nearest tenth (0.1), if necessary.
please help me
Answers
Answer:
\(22\)
Step-by-step explanation:
Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for \(?\):
\(\frac{28}{42}=\frac{?}{33}\) (divide corresponding sides)
\(\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}\)
PLEASE HURRY!!!
The probability of landing on blue when spinning a spinner is 4/5 choose the likelihood that best describes the probability of this event
A. Neither likely nor unlikely
B. Unlikely
C. Certain
D. Likely
Answers
Answer:likely tell me if im wrong
Probability helps us to know the chances of an event occurring. The likelihood that best describes the probability of this event is Likely.
What is Probability?Probability helps us to know the chances of an event occurring.
\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)
Given the probability of landing on blue when spinning a spinner is 4/5, therefore, there are 80% chances that the spinner will land on blue.
Hence, the likelihood that best describes the probability of this event is Likely.
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Write the expression as the sine, cosine, or tangent of an angle.
(tan (pi/5) + tan (pi/2))/(1-tan (pi/5) tan (pi/2))
Answers
Step-by-step explanation:
the formula is :
tan (a+b) =
(tan (a) + tan (b)) / ( 1 - tan (a) . tan (b))
therefore
tan (π/5) + tan (π/2)) / (1-tan (π/5) tan (π/2))
= tan (π/5 + π/2)
Find the circumference.
Use 3.14 for tı.
-
r = 6 ft
C = [?] ft
C=rd
![Find the circumference.Use 3.14 for t.-r = 6 ftC = [?] ftC=rd](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/sgJVQydkc6NtVw10SBgr4sKXWK78Qzfg.png)
Answers
Answer:
37.69911184
Step-by-step explanation:
because circumference is equal to pi multiplied by diameter, you will not get the circumference with the radius times pi. in order to get the diameter, you multiply the radius by 2, because the diameter is the length across the circle. So the diameter of this circle is equal to 12. so simply multiply that number by pi (3.14) and there is your answer. Hope i helped.
1 1/2 divided by 3 equals what?
Answers
Answer:
4 1/2
Step-by-step explanation: First: Pls just trust <333 and Goodluck!! <3
What is the slope of the line defined by the equation 3x - 2y = 10 ?
Answers
Answer:
M=3/2
Step-by-step explanation:
Convert to slope-intercept form.
subtract 3x from both sides:
3x-2y=10
-3x -3x
the threes will cancel out leaving you with:
-2y=10-3x
then divide both sides by -2:
-2y=10-3x
-2y -2
your twos will then cancel out leaving you with:
y=-5-3/2
your answer is then:
3/2
heres a formula you can go by:
y=mx+b. m is the slope and b is the y-intercept.
I hope this helps :)
sorry if it doesn’t.
one student from the school will be selected at random. what is the probability that the student is in the age-group of 6 to 8 years given that the selected student responded joy?
Answers
Given that the chosen kid gave a joy response, the probability that the student belongs to the age range of 6 to 8 years is 28/89.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.So, the likelihood that a pupil is between the ages of 6 and 8 can be calculated using the techniques below:
Step 1: 89 pupils out of a possible 200 answered with joy, as shown in the table.Step 2 - It is also stated that there were a total of 28 students in the age range of 6 to 8 years who answered positively.Step 3 - Accordingly, the likelihood that the pupil belongs to the 6 to 8-year-old age range is:P = 28/89
Therefore, given that the chosen kid gave a joy response, the probability that the student belongs to the age range of 6 to 8 years is 28/89.
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The complete question is given below:
Students at a local elementary school were shown a painting and asked which emotion—joy, happiness, love, or anger—they felt by looking at the painting. The students were classified by their age. The following table summarizes the responses of the students by age group. One student from the school will be selected at random. What is the probability that the student is in the age group of 6 to 8 years given that the selected student responded with joy?
A speedboat moving at 30 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of 3.0 m/s
2
by reducing the throttle. What is the velocity of the boat when it reaches the buoy?
Answers
The velocity of the boat when it reaches the buoy is approximately 17.32 m/s. This is found using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, and s is the displacement.
To solve this problem, we can use the equations of motion. The initial velocity of the boat, u, is 30 m/s, the acceleration, a, is -3.0 m/s² (negative because the boat is slowing down), and the displacement, s, is 100 m. We need to find the final velocity, v, when the boat reaches the buoy.
We can use the equation: v² = u² + 2as
Substituting the given values, we have:
v² = (30 m/s)² + 2(-3.0 m/s²)(100 m)
v² = 900 m²/s² - 600 m²/s²
v² = 300 m²/s²
Taking the square root of both sides, we find:
v = √300 m/s
v ≈ 17.32 m/s
Therefore, the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.
The problem provides the initial velocity, acceleration, and displacement of the boat. By applying the equation v² = u² + 2as, we can find the final velocity of the boat. This equation is derived from the kinematic equations of motion. The equation relates the initial velocity (u), final velocity (v), acceleration (a), and displacement (s) of an object moving with uniform acceleration.
In this case, the boat is decelerating with a constant acceleration of -3.0 m/s². By substituting the given values into the equation and solving for v, we find that the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.
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A box contains 1079 counters which are coloured either black, white or red.
The ratio of black counters to white counters is 2:7
The ratio of white counters to red counters is 3 : 8
Calculate the number of red counters that are in the box.
Optional working
+
Answer:
red counters.
Answers
The total number of red counters that are in the box is; 728 red counters
We are told that the box contains 1079 counters.Let the number of white counters be x.
Let the number of red counters be y.
Let the number of black counters be z.
Thus;
z:x = 2:7
Thus; 2x/7 = z
Also, we are given;
x:y = 3:8
Thus;
8x/3 = y
Since total number in the box is 1079,then;x + y + z = 1079
x + (8x/3) + (2x/7) = 1079
Multiply through by 21 to get;
21x + 56x + 6x = 22659
83x = 22659
x = 22659/83
x = 273
2x/7 = z
Thus; z = 2 × 273/7
z = 78
8x/3 = y
y = 8 × 273/3
y = 728
Thus,there are;273 white counters
728 red counters
78 black counters.
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Johanna is planting tomatoes in the school garden this year. Tomato plants come in packs of six. She needs 80 plants in the garden and already has 28. How many packs of plants will she need
Answers
Answer:
She will need 7 more packs of plants to plant all 80 tomatoes.
Step-by-step explanation: Since she already planted 28, she needs 52 more single tomatoes, therefore she will need 7 more packs since it's 6 tomatoes in each bag.
5. If JKLM is a rhombus, MK = 30, NL = 13, and MZMAZ a) NK = e mZIMI b) JL = f) mZMLK = c) KL 19. 8 g) MZMNL = d) MZUKM h) mZKIL =
Answers
Lengths of rhombus :
a) NK = 15
b) JL = 16
c) KL = 19.85
Given,
MK = 30
NL = 13
∠MKL = 41
(a)
NK
MK is a diagonal and NK is half of the diagonal. So,
NK = 1/2 MK
NK = 1/2 * 30
NK = 15
b)
JL:
JL is a diagonal, and it is twice of NL.
JL = 2* NL
JL = 2* 13
JL = 26
c)
KL:
To solve for KL, we consider triangle KNL where:
∠KNL = 90°
Apply pythagoras theorem,
KL² = NL² + KN²
KL² = 13² + 15²
KL² = 169 + 225
KL = 19.85
Hence the sides of rhombus:
KL = 19.85
JL = 26
NK = 15
Learn more about rhombus,
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Correct question:
If jklm is a rhombus mk = 30, nl = 13, and mean mkl= 41, find each measure.
nk =
jk =
kl =
If a = 24 ft, b = 31 ft, and c = 37 ft, what is the area of the backyard? help me
Answers
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Answer: 27528 ft^3
Explanation:
24 x 31 x 37 = 27528
I hope this helped!
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what is the ending value of x? x = 0 i = 5 while i > 1: x = x i i = i - 1 group of answer choices a. 14 b. 0 c. 12 d. 15
Answers
The ending value of x is 0.
The ending value of x can be determined by following the given loop in the code.
Starting with x = 0 and i = 5, the loop will iterate while i is greater than 1. In each iteration, the value of x is multiplied by i and then i is decremented by 1.
Let's go through the loop step by step:
1st iteration: x = x * i = 0 * 5 = 0, i = 5 - 1 = 4
2nd iteration: x = x * i = 0 * 4 = 0, i = 4 - 1 = 3
3rd iteration: x = x * i = 0 * 3 = 0, i = 3 - 1 = 2
At this point, i is no longer greater than 1, so the loop exits.
Therefore, the correct answer is (b) 0.
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