The true statements are: (A), (D), (E) and (F).
Statement A is true. A triangle is said to be isosceles if its two sides are of equal length. Considering the triangle STU, the sides ST and TU are the radius of the same circle centered at T and hence of same length. So triangle STU is isosceles.
Statement B is false. In triangle STU, ST and TU being radii of circle T, are equal. But the third side SU is not a radius of any circle in the diagram and so not equal to ST and TU. Since three sides are not of same length, triangle STU is not an equilateral triangle.
Statement C is false. In Triangle STU two sides are composed of a single radii and not of two radii. The third side is not composed of radii.
Statement D is true. In triangle STU, two sides are radii of circle T but the third side, segment SU, is not a radius of any circle shown in the diagram.
Statement E is true. In triangle VWZ, each side is composed of 2 radii which are of same length. Hence three sides are equal and so it is an equilateral triangle.
Statement F is true. Each side of triangle VWZ is composed of two radii that have the same length.
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(Plz help!)Find the area of the geomrtric figure.
Answer:
11 1/4 or 11.25 yards
Step-by-step explanation:
1. Area of triangle formula is \(\frac{(b)(h)}{2}\), where b = base and h = height.
2. (Solving)
\(\frac{(b)(h)}{2}\) \(\frac{(15/2)(3)}{2}\) \(\frac{22.5}{2}\) \(11 \frac{1}{4}\)Therefore, the area of the triangle is 11 1/4 or 11.25 yards.
a) Saturn is 9.1 * 10^8 miles from the sun and earth is 9.3 * 10^7 miles from the sun. By what distance is one planet closer to the sun than the other planet?
Answer:
8.17 * 10^8
Step-by-step explanation:
Saturn is 9.1 * 10^8 miles from the sun, and earth is 9.3 * 10^7 miles from the sun. From this, we can see that Saturn is much farther from the sun than the earth.
To find the distance of one planet closer to the sun than the other planet, we can subtract 9.3 * 10^7 from 9.1 * 10^8.
Original expression: 9.1 * 10^8 - 9.3 * 10^7
Convert both sides to 10^7: 91 * 10^7 - 9.3 * 10^7
Subtract: 81.7 * 10^7
Simplify: 8.17 * 10^8
Let me know if this helps!
Question 9 (1 point)Your new T-shirt shrank slightly when it was washed and dried. What scale factor below could best describe this dilation?abOcOd1.31.00.90.1←QX
Solution
- The shirt shrank a little. This implies that when you take the ratio of the dimensions of the shrunk shirt, and that of the original shirt.
- This would mean that the scale factor (the result from the above ratio), would be less than 1. But it would not be that much less than 1.
- Thus, the possible scale factor is 0.9
From Andys house to Billys hometown you can travel by 3 roads. And to get from Billys hometown to Willies's house you can travel by 5 roads. How many possible wats are there to travel from andys house to willies house?
3 roada andy to billy
5 road billy to willies
3×5 =15 it's the answer 15
for a goodness-of-fit test for a distribution with 7 categories, what are the degrees of freedom for the distribution for this test?
The degrees of freedom for a goodness-of-fit test with 7 categories is 6, and this value is used to determine the critical value for the chi-square test statistic.
The degrees of freedom (df) for a goodness-of-fit test with k categories is calculated as (k-1), where k represents the number of categories or groups being compared. Therefore, for a goodness-of-fit test with 7 categories, the degrees of freedom would be 6.
The goodness-of-fit test is a statistical test that assesses whether a set of observed data fits a particular theoretical distribution. The test involves comparing the observed frequencies of data in each category with the expected frequencies based on the theoretical distribution. The chi-square test is commonly used for this purpose.
The degrees of freedom in a chi-square goodness-of-fit test are important because they determine the critical value of the test statistic. The critical value is compared to the calculated chi-square value to determine whether the observed data fits the theoretical distribution.
If the calculated chi-square value is greater than the critical value, then the observed data does not fit the theoretical distribution and the null hypothesis is rejected. If the calculated chi-square value is less than the critical value, then the observed data fits the theoretical distribution and the null hypothesis is not rejected.
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The town of butler, nebraska, decided to give a teacher-competency exam and defined the passing scores to be those in the 70th percentile or higher. The raw test scores ranged from 0 to 100. Was a raw score of 82 necessarily a passing score? explain.
Based on the raw score of 82, and the 70th percentile passing, we can infer that as regards 82 being a passing score, No, it might have a percentile rank less than 70.
Is 82 a passing score?The passing score is one that is in the 70th percentile or higher. This means that the raw score that a student gets needs to be considered higher than 70% of the rest of the scores.
There is a chance that the exam was so easy that most people got good scores. If that were the case, then a score of 82 can be below the 70th percentile which means that the candidate would not pass.
Options for this question are:
Yes, since a score of 82 is higher than 70.No, it might have a percentile rank less than 70.No, it might have a percentile rank greater than 70.Yes, it might have a percentile rank less than 70.Find out more on percentile rank at https://brainly.com/question/24245405
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I have no idea what to do can someone help
Answer:
k = 20
can i have brainliest
Step-by-step explanation:
Derrick also mows lawns for the same landscaping company. Derrick's pay can be represented by the equation y = 9x + 20. What does the y-intercept mean in Derrick's case?
Derrick earns a $9 bonus.
Derrick earns $9 per hour.
Derrick earns a $20 bonus.
Derrick earns $20 per hour.
Which one is it?
The y-intercept in Derrick's case means that Derrick earns $20 per hour.
How the solution was obtainedThe y-intercept in Derrick's case means that Derrick earns $20 per hour.
The equation y = 9x + 20
represents the total pay (y) as a function of the number of hours worked (x), where the y-intercept (20) represents the pay earned when x = 0, i.e., when no hours have been worked.
The coefficient 9 represents the pay per hour, so Derrick earns $9 per hour.
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Which of the following types of harm resulting from technological innovations can engineers be held most morally blameworthy? O Foreseen harms O Foreseeable harms O Unforeseen harms O Unforeseeable harms
Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,
and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.
They need to think about how their technology could be used, and whether it could be used to harm people or the environment.
They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.
If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.
For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,
and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.
If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.
It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.
For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.
In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.
This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.
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Find the missing angle.
Answer:
45 Degrees
Step-by-step explanation:
This would be a right angle. The other side would be 45 Degrees. Which when you add them equals 90.
Answer:
45 degrees
Step-by-step explanation:
The following figure shown is a square
All of the angles in a square are right angles meaning that they equal 90
If a diagonal line cuts through the middle then it splits the right angle into to 45 degree angles therefore your answer is 45 degrees
Combine the like terms to create an equivalent expression.
Answer:
3n+5
Step-by-step explanation:
3n + 5
There are no other like terms for 3n because no other value contains n.
Therefore 7 and -2 are like terms due to them both being constant whole number.
So subtract 2 from 7 and you will get five
Hence the answer is 3n + 5
Which applies the power of a power rule properly to simplify the expression (710)5?
Answer:
I45
Step-by-step explanation:
someone please help.
The completed table with regards to terms of an expression are presented as follows;
Condition \({}\) (6·x + 3) + (5·x - 4) (-4·y - 16) - 8·y + 10 + 2·y
Exactly 3 terms N/A \({}\) N/A
Exactly 5 terms N/A \({}\) N/A
Includes a zero pair No \({}\) No
Uses distributive property No No
Includes a negative factor No
Has no like terms False False
Condition \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\) 0.25·(8·m - 12) - 0.5·(-4·m + 2)
Exactly 3 terms No \({}\) No
Exactly 5 terms Yes \({}\) \({}\) No
Includes a zero pair No \({}\) \({}\) Yes
Uses the distributive property Yes \({}\) Yes
Includes a negative factor Yes \({}\) Yes
Has no like terms No \({}\) No
What is a mathematical expression?A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.
The details of the conditions in the question are as follows;
Terms of an expression
A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction
Zero pair
A zero pair are two numbers that when added together have a zero result
Distributive property
The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend
Negative factor
A negative factor is a factor that has a negative sign prefix
Like terms
Like terms are terms consisting of identical variables with the same powers of the variable
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2 1/3 + 6 3/5 = What ?
Answer:
\(8\frac{14}{15}\)
Decimal form: \(8.933333\)
Step-by-step explanation:
\(2 \frac{1}{3}+6\frac{3}{5}\)
To solve, you will need to add.
First, add the whole number together.
\(2+6=8\)
\(\frac{1}{3}+\frac{3}{5} \\=14/15\)
So now add everything together(the whole number and fraction).
\(8+\frac{14}{15}=8\frac{14}{15} (Answer)\)
Hope this helps!
PLEASE HURRY AND ANSWER WITH WORK IF POSSIBLE
Answer:
should be C, the total cost of each pizza
Step-by-step explanation
hope this helped sorry i can't show any work
bye have a nice day
What is the greatest common factor for the following ratio, 7 : 56
Answer:
7
Step-by-step explanation:
The sugar content in a one-cup serving of a certain breakfast cereal was measured for a sample of 135 servings. The average was 11.9 g and the standard deviation was 1.1 g. Find a 95% confidence interval for the mean sugar content. Round the answers to three decimal places. The 95% confidence interval is ( , ).
Answer:
y
Step-by-step explanation:
An envelope contain 40 shopping vounchers of which 25 voucher each have value of $50 and 15 vouchers each have a value of $100. Amirah picks a voucher at random from the envelope .Find the probability that the voucher has a value of $100?
Answer:
yes is correct ◆◆◆◆◆◆◆◆◆◆♡♡♡♡♡
Answer:
30 percent
Step-by-step explanation:
hsyyehrbhfkej2bhsi
Which number is a factor of 24 but not a multiple of 12
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
I hope it's right uwuwuwu
please help me out with this
Answer:
24
Step-by-step explanation:
small side=12 because 30-60-90 tri.
12*2=24
Find the distance between the given parallel planes. 6z = 2y − 2x, 9z = 2 − 3x + 3y
The Distance between the given parallel planes is 8.84.
According to the statement
we have given that the two parallel planes and we have to find the distance between them.
So, For this purpose, we know that the
First let us find a point on one plane. For this in plane 9z +3x - 3y = 2
assume x = 0 and y = 0 then and hence (0,0,2/9) on this plane.
Now we find the distance between point (0,0,2/9) and plane 6z -2y + 2x =0
So,
As distance from a point to plane is
\(D= \frac{|ax_1+by_1+cz_1+d|}{\sqrt{ (a^2+b^2+c^2)}}\)
And
now substitute the values in then
\(D= \frac{|2*0+ (-2)0+6*2/9+0|}{\sqrt{ 36 +4+4)}}\)
Then the value becomes
\(D= \frac{4/3}{\sqrt{ (44)}}\)
\(D= \frac{4\sqrt{44} }{3}\)
Then solve it
\(D= \frac{26.52}{3}\)
then
D = 8.84
So, The Distance between the given parallel planes is 8.84.
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Someone help please. (The teacher added an extra question for some reason but please help with all.)
The probability of obtaining tails and the number 5 is 1/12
the probability of obtaining an even number is 1/2
P(heads and prime number) 1/4
How to calculate the probabilitySince the events are independent, the probability of obtaining tails and the number 5 is:
P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12
The coin toss outcome is irrelevant, so the probability of obtaining an even number is:
P(even number) = 1/2
The probability of obtaining heads and a prime number is:
P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4
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a survey of 400 non-fatal accidents showed that 173 involved faulty equipment. find a point estimate for p, the population proportion of accidents that involved faulty equipment
Based on a survey of 400 non-fatal accidents, where 173 involved faulty equipment, the point estimate for the population proportion (p) of accidents that involved faulty equipment is 173/400 = 0.4325.
To calculate the point estimate for the population proportion, we divide the number of accidents involving faulty equipment (173) by the total number of accidents surveyed (400).
This gives us a ratio of 0.4325, which represents the estimated proportion of accidents involving faulty equipment in the population.
A point estimate is a single value that serves as an approximation or best guess for an unknown population parameter.
In this case, the population proportion (p) represents the proportion of all accidents that involved faulty equipment. The point estimate of 0.4325 suggests that approximately 43.25% of non-fatal accidents may involve faulty equipment based on the sample data.
It's important to note that this point estimate is subject to sampling variability and may not perfectly reflect the true population proportion. To obtain a more precise estimate with a measure of uncertainty, one would need to consider confidence intervals or conduct hypothesis testing using statistical methods.
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Garden a rectangular garden is 12 feet across and 16 feet long. it is surrounded by a border of mulch that is a uniform width x. the maximum area for the garden, plus border, is 285square feet
The polynomial equation representing the situation is 4x² + 56x = 93 .
In the question ,
it is given that
the length of the rectangular garden is = 16 feet
the width of the rectangular garden is = 12 feet
we have to surround the border by mulch ,
the width of the border with mulch is = x
So the new length with mulch = 16 + x + x = 16 + 2x
and the new width with mulch is = 12 + x + x = 12 + 2x
also given that the area of garden plus border is = 285 square feet
we know that the area is = length × width
On substituting the values length and breadth , we get
285 = (16 + 2x)×(12 + 2x)
285 = 192 + 32x + 24x + 4x²
4x² + 56x + 192 = 285
4x² + 56x = 285 - 192
4x² + 56x = 93
Therefore , The polynomial equation representing the situation is 4x² + 56x = 93 .
The given question is incomplete , the complete question is
Garden a rectangular garden is 12 feet across and 16 feet long. it is surrounded by a border of mulch that is a uniform width x. the maximum area for the garden, plus border, is 285square feet . Write a polynomial equation to represent the situation ?
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Solve the following linear programming problem using branch and bound method. Maximize Z = 40x₁ + 5x₂ subject to x₁ + x₂ ≤ 5 6x₁ + x₂ ≤ 20 X₁, X220 and integer (25 (Total ma
The maximum value of the objective function Z = 40x₁ + 5x₂, subject to the constraints x₁ + x₂ ≤ 5 and 6x₁ + x₂ ≤ 20, where x₁, x₂ are integers between 0 and 25, can be found using the branch and bound method.
To solve this problem, we start with an initial solution by considering the constraints and finding the feasible region. Then, we compute the objective function for this initial solution. Next, we branch the problem into subproblems by considering different combinations of x₁ and x₂. We calculate the lower bounds for each subproblem to determine the potential for improvement. We continue branching and bounding until we find the optimal solution with the maximum value of Z.
The branch and bound method systematically explores the solution space, optimizing the objective function by considering different feasible regions. It provides a structured approach to find the optimal solution for linear programming problems.
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25 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER
Answer:
thx
Step-by-step explanation:
Answer:
Step-by-step explanation:
Huh
What's the square root of 30 round to nearest hundredth
Answer:
5.48
Step-by-step explanation:
Answer:
5.48
Step-by-step explanation:
I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.
Answer:
39.19
Step-by-step explanation:
sin(29°)=(19/x)
x= 19/sin(29°)
/= over
i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse
Write the augmented matrix of the given system of equations. X+y-z = 5 2x - 2y = 5 6x + 3y - 2 = 1
The augmented matrix of the given system of equations is:
[ 1 1 -1 | 5 ]
[ 2 -2 0 | 5 ]
[ 6 3 -2 | 1 ]
What is an augmented matrix?An augmented matrix is a matrix that contains the coefficients of the variables and the constants from the system of equations.
We have,
The concept used here is the representation of a system of linear equations in the form of an augmented matrix.
In this case,
Each row of the augmented matrix represents an equation from the system.
The variables x, y, and z are represented by their corresponding coefficients, and the constant terms are also included.
The vertical line separates the coefficients from the constants.
So,
The augmented matrix of the given system of equations is:
[ 1 1 -1 | 5 ]
[ 2 -2 0 | 5 ]
[ 6 3 -2 | 1 ]
Each row represents an equation, and the coefficients of the variables and the constant terms are organized in a matrix format, with a vertical line separating the coefficients from the constants.
Thus,
The augmented matrix of the given system of equations is:
[ 1 1 -1 | 5 ]
[ 2 -2 0 | 5 ]
[ 6 3 -2 | 1 ]
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Help I need the answer
Answer:
9
Step-by-step explanation:
make them equal to each other
15x = 14x + 9
x = 9