Answer:
Side 3 = 5cm
Step-by-step explanation:
135/9=15
15/3=5
A triangle has vertices at (4, 4), (-6, 2) and (2, 0).
a. Find the coordinates of the mid-points of eachside
b. Find the lengths of the sides of the triangle
formed by joining the mid-points.
each side.
Answer:
A. (-1, 3) (3, 2) (-2, 1)
B. \(\sqrt{17}\) \(\sqrt{5}\) \(\sqrt{26}\)
Step-by-step explanation:
The formula for finding the midpoints is \((\frac{x_{1}+x_{2} }2}, \frac{y_{1}+y_{2} }2} )\).
MIDPOINTS
\((\frac{x_{1}+x_{2} }2}, \frac{y_{1}+y_{2} }2} )\) = \((\frac{4-6}2,\frac{4+2 }2} )\) = (-1, 3)
\((\frac{x_{1}+x_{2} }2}, \frac{y_{1}+y_{2} }2} )\) = \((\frac{4+2}2,\frac{4+0 }2} )\) = (3, 2)
\((\frac{x_{1}+x_{2} }2}, \frac{y_{1}+y_{2} }2} )\) = \((\frac{-6+2}2,\frac{2+0 }2} )\) = (-2, 1)
Next, we will use the distance formula, \(\sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2} }\).
DISTANCE
\(\sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2} }\) = \(\sqrt{(-1-3)^{2} + (3-2)^{2} }\) = \(\sqrt{17}\)
\(\sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2} }\) = \(\sqrt{(-1+2)^{2} + (3-1)^{2} }\) = \(\sqrt{5}\)
\(\sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2} }\) = \(\sqrt{(3+2)^{2} + (2-1)^{2} }\) = \(\sqrt{26}\)
a. To find the coordinates of endpoints we must add two x values and divide by 2 and then add 2 y- values and divide by 2.
(4-6)/2=-1 (4+2)/2=3
Repeat for other sides.
(2-6)/2=-2 (2+0)/2=1
(2+4)/2=3 (4+0)/2=2
Coordinates of midpoints are (-1,3), (-2,1), (3,2)
b. Now we use the distance formula for each midpoint to find the length of the inner- triangle.
sqrt((-1+2)^2 + (3-1)^2)
Sqrt(5)
Repeat.
Sqrt(17)
Sqrt(26)
The lengths of the inner triangle are as follows:
(-1,3), (-2,1) = Sqrt(5)
(-1,3), (3,2) = Sqrt(17)
(-2,1), (3,2) = Sqrt(26)
what is the partial fraction calculator?
A partial fraction calculator is a tool used to decompose a rational function into simpler fractions, known as partial fractions.
A partial fraction calculator is a tool used to decompose a rational function into simpler fractions. It is commonly used in algebra and calculus to simplify complex expressions and solve equations. The partial fraction calculator takes a rational function as input and breaks it down into simpler fractions that can be more easily integrated or manipulated. This process involves finding the partial fraction decomposition of the rational function by factoring the denominator into linear and quadratic factors and then solving for the coefficients of the partial fractions. This calculator can be useful for students, engineers, and anyone working with complex algebraic expressions.
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pls help will mark brainliest if correct
Answer:
the answer should be clld i am pretty sure
Step-by-step explanation:
an incompressible fluid with zero viscosity flows through a pipe of varying radius (shown in cross-section). compared to the fluid at point p, the fluid at point q has
the fluid at point Q will have a higher velocity compared to the fluid at point P.
Since the fluid is incompressible and has zero viscosity, it means that the fluid will flow without any loss of energy due to friction or viscosity. Therefore, the fluid at point P and point Q will have the same energy.
However, based on the given information that the pipe has a varying radius, we can infer that the fluid at point Q will have a different velocity compared to the fluid at point P. According to the principle of continuity, which states that the mass flow rate is constant in an incompressible flow, when the radius of the pipe decreases at point Q, the fluid velocity will increase to maintain the constant mass flow rate.
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Nancy bought a soft drink for 2 dollars and 6 candy bars. She spent a total of 14 dollars. How much did each candy bar cost? show work
She bought 1 soft drink for $2
6 candy bars
total = $14
Equation
14 = 2 + 6x
Solve for x (number of candies)
14 - 2 = 6x
12 = 6x
x = 12/6
x = $2
Each bar candy cost $2.
Which picture shows the correct graph for |x| = 1
Answer:
MAYBE D OR A
Step-by-step explanation:
SORRY IF THIS WAS NO HELP
Answer:
D is correct
Step-by-step explanation:
Because the x has the |x| surrounding it, that means that it is always going to be positive (i think) which explains why both -1 and 1 are selected; because they both equal 1.
There are 4 red cars and 8 black cards in a bag. How is it likely that you will randomly draw a blue card
Answer:
C) Impossible
Step-by-step explanation:
Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.
which expressions are equivalent
If 15 ounces of candy cost $3.75, what is the unit price per ounce?
Answer:
$0.25
Step-by-step explanation:
3.75/15 = 0.25
Answer:
0.25
Step-by-step explanation:
3.75 divided by 15= 0.25
can someone plz do both of these will mark brainleist
Answer:
Step-by-step explanation:
2.b=90
1.30
Answer:
Step-by-step explanation:
6. You're gonna use Cos to find Y
Cos = adj/hyp
Cos 27 = 10/y
10/cos27 = y
11.2 = y
7. It'll help immensily if you draw this one out.
You're gonna use Sin to find the angle.
Sin = opp/hyp
Sin 65 = 14/x
14/sin65 = x
15.4 = x
The points V(-6,2)(−6,2), W(-6,-7)(−6,−7), and X(1,-3)(1,−3) form a triangle. Plot the points then click the "Graph Triangle" button. Then find the perimeter of the triangle. Round your answer to the nearest tenth if necessary.
Using the distance between two points to find the side lengths, the perimeter of the triangle is of 25.66 units.
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure.
What is the distance between two points?Suppose that we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
This formula is derived from the Pythagorean Theorem, as the points form a right triangle in the xy-plane, with the hypotenuse being the distance between them.
Hence the side lengths are given as follows:
\(VW: \sqrt{(-6 - (-6))^2+(-7 - 2)^2} = 9\)\(VX: \sqrt{(1 - (-6))^2+(-3 - 2)^2} = 8.6\)\(WX: \sqrt{(1 - (-6))^2+(-3 + 7)^2} = 8.06\)Hence the perimeter is given by:
P = 9 + 8.6 + 8.06 = 25.66 units.
The triangle is graphed at the end of the answer.
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Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.
Answer:
x ≈ 2879.4 m
Step-by-step explanation:
Measure of ∠DAC = 10°
Measure of ∠DAB = 90°
Measure of ∠BAC = 90° - 10° = 80°
By applying cosine rule in ΔABC,
cos(80°) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)
= \(\frac{AB}{AC}\)
0.17365 = \(\frac{500}{x}\)
x = \(\frac{500}{0.17365}\)
x = 2879.36
x ≈ 2879.4 m
the perimeter of a pool table is 30ft. The table is twice as long as it is wide. What is the length of the pool table?
10 ft pls like if it helped
The sum of three consecutive even numbers is 552. What is the 1st number?
Answer:
Let 2n = the first of three consecutive even numbers, where n is an integer.
Let 2n + 2 = the second of three consecutive even numbers, and
Let 2n + 4 = the third of three consecutive even numbers.
We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:
2n + (2n + 2) + (2n + 4) = 552
Removing the parentheses, we have:
2n + 2n + 2 + 2n + 4 = 552
Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:
2n + 2n + 2n + 2 + 4 = 552
Now, collecting like-terms on the left, we get:
6n + 6 = 552
To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:
6n + 6 - 6 = 552 - 6
6n + 0 = 546
6n = 546
Now, divide both sides by 6 to finally solve for n:
(6n)/6 = 546/6
(6/6)n = 546/6
(1)n = 91
n = 91
Therefore, the first of three consecutive even numbers, 2n, is:
2n = 2(91)
= 182
The second of three consecutive even numbers is:
2n + 2 = 2(91) + 2
= 182 + 2
= 184
The third of three consecutive even numbers is:
2n + 4 = 2(91) + 4
= 182 + 4
= 186
CHECK:
2n + (2n + 2) + (2n + 4) = 552
182 + 184 + 186 = 552
552 = 552
Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.
I need help. Can u help me before tomorrow?
Answer:
250/100 x 72 = 180
She has completed 180 invitations
Step-by-step explanation:
Decimal multiplication problem:
250 x 0.72 = 180
a philosophy professor assigns letter grades on a test according to the following scheme. a: top 13% of scores b: scores below the top 13% and above the bottom 62% c: scores below the top 38% and above the bottom 15% d: scores below the top 85% and above the bottom 8% f: bottom 8% of scores scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5 . find the minimum score required for an a grade. round your answer to the nearest whole number, if necessary.
To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.
Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:
x = μ + (z * σ)
where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:
x = 69.5 + (1.04 * 9.5) ≈ 79.58
Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.
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Solve for h.
2(h − 16) − 16 = –12
h =
Answer:
18
Step-by-step explanation:
2h - 32 - 16 = -12
2h - 48= -12
2h =-12+48
h=36\2
h = 18
Answer:
h = 18
Step-by-step explanation:
Given
2(h - 16) - 16 = - 12 ← distribute and simplify left side
2h - 32 - 16 = - 12
2h - 48 = - 12 ( add 48 to both sides )
2h = 36 ( divide both sides by 2 )
h = 18
describe la vida en el barrio que se desarrolla en la pelicula los olvidados de Luis Buñuel teniendo en cuenta sus condiciones economicas y sociales atravez de las distintas actividades desarrolladas por los vecindarios
Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.
How do the economic and social conditions shape life in the neighborhood?The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.
The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.
Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.
Full question:
Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.
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In analyzing the course grades of students in an elementary statistics course, a professor notices that students who are seniors performed better than students who are sophomores. The professor is tempted to conclude that older students perform better than younger ones. Describe a possible confounder in this situation.
In analyzing the course grades of students in an elementary statistics course, a professor notices a pattern where seniors tend to perform better than sophomores.
This observation may lead the professor to be tempted to conclude that older students generally perform better than younger ones in statistics.
However, it is crucial to consider the presence of possible confounding variables that could influence this relationship and potentially lead to a biased conclusion.
One possible confounder in this situation is the students' prior knowledge or experience with statistics. It is reasonable to assume that seniors, who are closer to completing their undergraduate studies, have had more opportunities to take advanced courses that include statistical concepts.
They may have already gained exposure to statistical methods and developed a better understanding of the subject matter. On the other hand, sophomores, being in the earlier stages of their academic journey, may not have had as much exposure to statistics or have taken introductory courses that cover statistical concepts in depth.
If the professor solely focuses on the age difference between the two groups (seniors and sophomores) without accounting for the confounding factor of prior knowledge or experience, the conclusion that older students perform better would be flawed.
The observed difference in performance may be attributed more to differences in prior preparation rather than age itself. This confounding factor poses a threat to the internal validity of the study.
To properly evaluate the impact of age on student performance, it is essential to control for the confounding variable of prior knowledge or experience in statistics.
This can be achieved by considering additional variables such as previous coursework or exposure to statistical concepts. For instance, the professor could collect data on the number of statistics-related courses taken by each student or inquire about their familiarity with statistical methods prior to enrolling in the elementary statistics course.
By including these variables in the analysis, the professor can better isolate the effect of age on student performance and draw more accurate conclusions.
Controlling for confounding variables is crucial to ensure that the relationship between age and performance in statistics is accurately assessed.
Without accounting for potential confounders, the observed difference in grades between seniors and sophomores may lead to an incorrect conclusion.
By considering additional variables related to prior knowledge or experience, the professor can obtain a more comprehensive understanding of the factors influencing student performance and make more informed interpretations.
In conclusion, when analyzing the grades of students in an elementary statistics course, it is important to be cautious about drawing conclusions based solely on age differences.
The presence of confounding variables, such as prior knowledge or experience with statistics, can influence the observed relationship. To mitigate the influence of confounders, it is necessary to control for relevant variables and consider the broader context.
By taking these steps, the professor can obtain a more accurate understanding of the relationship between age and student performance in statistics.
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according to a survey of adults, 64% have money in a regular savings account. if we plan on surveying 50 randomly selected adults, find the mean number of adults who would have regular savings accounts.
By using Binomial probability distribution, the mean number of adults who would have bank savings accounts is 32.
For every survey, there are only two possible outcomes.
First- they have bank savings accounts,
second- they do not.
So, by using the binomial probability distribution we can solve this problem.
Probability of exactly Y successes in ‘n’ repeated trials, with ‘p’ probability.
Probability = p
Successes repeated = n times
The value of the binomial distribution is:
E(Y) = n x p
In this problem, we have that:
p = 0.64
If we were to survey among 50 randomly selected adults, the mean number of adults who would have bank savings accounts is,
E(Y) when, n = 50
So,
E(Y)= n x p
= 50 x 0.64
= 32
Hence ,our required answer is 32 adults who would have bank savings accounts
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How many solutions does this equation have?
–8 + t = –t + 10
Answer:
One
Step-by-step explanation:
Since (1) is the highest exponent value, there can only be one solution.
IF t^2 then there would be two answers.
Answer:
One solution
Step-by-step explanation:
To find the amount of solutions, you must solve first:
-8 + t = -t + 10
First, add t to both sides:
-8 + 2t = 10
Add 8 to both sides:
2t = 18
Divide both sides by 2:
t = 9
Since there has been a solution to this equation, that means there's only one solution.
The value of a car changed by -$4,510,-$3,866, -$2,830,-$2,125, - $2,030, and -$1,964 over 6 years. What is the
average change per year?
Answer:
-$2887.5
Step-by-step explanation:
-$4,510 - $3,866 - $2,830 - $2,125 - $2,030 - $1,964 = -$17325
-$17325 divide by 6 = - $2887.5
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1/4 of the players on every team are girls. Write 3 fractions equivalent to 1/4
Answer:
2/8, 3/12 and 4/16
Step-by-step explaination:
All these fractions are equivalent to 1/4 as the numerator is a multiple of 1, the denominator is a multiple of 4, and the numerators are all a quarter of their respective denominators.
Factor p 2 + 18 p + 32.
But it’s P squared
This can be factored into the product of two binomials.
We are going to setup two sets of parenthses and inside each set of parenthses will be the two terms that compose each binomial.
The first term in each binomial will be a factor of the p² term.
Since p² breaks down into p · p, we use a p
as the first position in each binomial.
The second term in each binomial will be the factors of
our constant term that add to the coefficient of the middle term.
These factors are +16 and +2.
So our answer is (p + 16)(p + 2).
Check out the image provided.
I have showed the different pairs of factors of 32.
However, only +16 and +2 add to the coefficient of the middle term.
(2x+1)(2x+6)-7(x-2)=4(x+1)(x-1)9x
Answer:
You can't solve this equation.
Step-by-step explanation:
Given the equation: (2x+1)(2x+6)-7(x-2)=4(x+1)(x-1)9x
When you solve this, it will be either of the following answers.
So you can't fully solve this equation.
14. Describe the typical quiz scores of the students. Explain your choice of measure.
To describe the typical quiz scores of the students, a common measure used is the mean, or average, score. The mean is calculated by summing up all the scores and dividing by the total number of scores.
Given its simplicity and simplicity in interpretation, the mean was chosen as a proxy for normal quiz scores. It offers a solitary figure that encapsulates the scores' median. We can figure out the pupils' overall performance on the quiz scores by computing the mean.
It's crucial to keep in mind, though, that outliers or extremely high scores dividing might have an impact on the mean. The mean may not be an accurate representation of the normal results of the majority of students if there are a few students who severely underperform or do very well on the quizzes.
To get a more thorough picture of the distribution of quiz results in such circumstances, it might be beneficial to take into account additional metrics like the median or mode.
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Find the difference between points M(6, 16) and Z(-1, 14) to the nearest tenth.
The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:
d = √((x2 - x1)² + (y2 - y1)²)
where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:
d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1
Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
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Quad DEFG with mZD= (12x - 4),
mZE = (18x + 4)ºmZF = (15x + 10), and
m2G= (5x)
What is the value of x?
Answer: x = 7°
Explanation:
We know that sum of angles of a quadilateral is = 360°
Therefore ATQ
⇒ (12x-4)+(18x+4)+(15x+10)+(5x) = 360
⇒ (12x + 18x + 15x + 5x) + (-4+4+10) = 360
⇒ 50x + 10 = 360
⇒ 50x = 360-10
⇒ 50x = 350
⇒ x = 350/50
⇒ x = 7
Therefore value of x is 7°
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SOMEBODY PLEASE HELP ME!!
Answer:
60 square units; 40 units
Step-by-step explanation:
to find the missing side you use the pythagorean theorem
a^2 + b^2 = c^2
8^2 + b^2 = 17^2
64 + b^2 = 289
b^2 = 225
b = 15
area is l*h*1/2
15 * 8 * 1/2 = 60 square units
perimeter is adding them all
15 + 8 + 17 = 40 units
If you place a 34 foot ladder against the top of a building and the bottom of the ladder is 25 feet from the bottom of the building how tall is the building?