Answers
The measure of angle V i.e. \(m\angle V\) is \(60^\circ\).
For the triangle TUV (\(\triangle TUV\)), all the sides are of same length i.e. 9. So we can consider this as an equilateral triangle.
We know for an equilateral triangle all of the angles are of same measure.
Now the sum of all angles of a triangle is \(180^\circ\) and there are 3 angles in a triangle. So, each angle will be of measure \(60^\circ\).
Therefore the measure of \(\angle V\) i.e. \(m\angle V\) is \(60^\circ\).
Also the basic three properties of an equilateral triangle are:
All three sides are equal.All three angles are equal.The figure has three lines of symmetry.To learn more about angles,
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Related Questions
Does dividing a polynomial by a polynomial always result in a polynomial? Explain.
Answers
Please help me! I need this for algebra
Answers
Answer:
-8/5
Step-by-step explanation:
hope it helps!
PLEASE HELP These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
Town B
2
35 40 45 48
0
5
10
15
20
45
50
55
60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the spreads?
O A. The interquartile range (IQR) for town A, 30°, is less than the IQR
for town B, 46º.
B. The standard deviation for town A, 20°, is greater than the
standard deviation for town B, 10°.
C. The interquartile range (IQR) for town A, 20°, is greater than the
IQR for town B, 10°.
D. The interquartile ranges (IQRs) for towns A and B are both 20°.
Answers
Answer: D: The median for town A, 30 Degrees, is greater than the median for town B, 25 Degree.
Step-by-step explanation:
The median means the middle number. Town A median is 30 and Town B median is 25.
Step-by-step explanation:
Answer:
C. The interquartile range (IQR) for town A, 20°, is greater than the IQR for town B, 10°Step-by-step explanation:
The IQR is about middle 50% of data range. This is the difference between Q3 and Q1.
Town A
Q3 = 40, Q1 = 20IQR = 40 - 20 = 20Town B
Q3 = 45. Q1 = 35IQR = 45 - 35 = 10Correct choice is C
Type SSs, SAS, ASA, SAA, or HL
to justify why the two larger triangles are
congruent.
Answers
Answer:
HL.
Step-by-step explanation:
Both of them are right triangles.
Answer:
SASStep-by-step explanation:
Pls help. A, B, C, or D?
Answers
Answer:
b=1
Step-by-step explanation:
1) Distribute
6+7b-7=5+b
2) Combine like ter,s
7b-1=5+b
3) Isolate variable
6b=6
4) Solve
b=1
Answer:
b = 1
Step-by-step explanation:
6 + 7b - 7 = 5 + b
7b - b = 5 - 6 + 7
6b = 6
b = 1
in the figure, a 60-cm length of uniform wire, of 60 g mass and negligible thickness, is bent into a right triangle. the x and y coordinates of the center of mass, in cm, are closest to
Answers
The center of mass of the right triangle is 2.14
The term center of mass refer a point where the whole mass of the body is supposed to be concentrated.
Here we have given that a 60-cm length of uniform wire, of 60 g mass and negligible thickness, is bent into a right triangle.
And we need to find the center of mass.
According to the following diagram, we have identified the values of
m1 = 24
m2 = 26
m3 = 20
r1 = 5
r2 = 5
r3 = 0
Then based on these values the center of mass is calculated as,
=> [(24 x 5) + (26 x 5) + (20 x 0)]/[24 + 26 + 20]
When we simplify this one then we get,
=> [ 120 + 130 + 0] / 70
Further simplification leads the value of,
=> 150/70
=>15/7
When we simplify this fraction into decimal then we get,
=> 2.14
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Two less than 3 times a number is the same as the number plus 10.
Answers
What type of function is represented by the table of values below?
х
1
2
3
4
5
у
2
4
8
16
32
A. exponential
B. quadratic
C. cubic
D. linear
Answers
Answer:
Step-by-step explanation:
This is exponential. I'll show you how I found it. After many attempts at other types of functions, I realized the points were either forming a quadratic or an exponential. Definitely not a line.
the standard form of an exponential function is
\(y=a(b)^x\) so we sub in coordinates from the table to determine what the equation is and then test it on another set of points to see if it works. Using the first coordinate of (1, 2):
\(2=a(b)^1\) so
\(a=\frac{2}{b}\) . The next coordinate is (2, 4), so:
\(4=\frac{2}{b}(b)^2\) which simplifies down to
4 = 2b so
b = 2. Now we plug in 2 for b and solve for a:
a = 2/2 which is 1. So the equation, if this is exponential, is
\(y=1(2)^x\) Let's test the next point in line and see if it works, (3, 8):
\(8?=?1(2)^3\) and yes, 8 is equal to 2 cubed. And the next point says that 16 should equal 2 to the 4th, and it does, as well. So this is exponential...growth to be specific.
Find the mode for the distribution of scores in the following frequency distribution table.
Answers
The mode for the distribution of scores in the following frequency distribution table is 3, which is the second option.
What is mode?This is a term used in statistics to refer to the number of highest occurrence. Mode refers to the value that highest the number of frequency. In finding the mode, it is better to orderly arrange the given data to help see the value that occurs more frequently as this is the mode.
For the values given in the distribution of scores in the frequency distribution table the mode is three ( 3 ) and it is the second option
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Wiseman Video plans to make four annual deposits of $2,000 each to a special building fund. The fund’s assets will be invested in mortgage instruments expected to pay interest at 12% on the fund’s balance. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
Using the appropriate annuity table, determine how much will be accumulated in the fund on December 31, 2019, under each of the following situations.
1. The first deposit is made on December 31, 2016, and interest is compounded annually.
Table or calculator function: FVA of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $9,559
2. The first deposit is made on December 31, 2015, and interest is compounded annually.
Table or calculator function: FVAD of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $10,706
3. The first deposit is made on December 31, 2015, and interest is compounded quarterly.
Using the FV of $1 chart, calculate the fund balance:
Deposit Date i = n = Deposit Fund Balance 12/31/2019
12/31/2015 3% 16 $2,000 $3,209
12/31/2016 3% 12 2,000 2,852
12/31/2017 3% 8 2,000 2,534
12/31/2018 3% 4 2,000 2,251
$10,846
4. The first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.
Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019
$2,000 $8,000
Answers
The fund balance at the end of 2019 will be $8,000.
The given problem has four different parts, where we are supposed to calculate the accumulation of funds at the end of 2019 in different scenarios.
Scenario 1In the first scenario, the first deposit is made on December 31, 2016, and interest is compounded annually.
Using the FVA of $1 table; Payment: $2,000n = 4i = 12%
Fund balance 12/31/2019: $9,559
Hence, the fund balance at the end of 2019 will be $9,559.Scenario 2In the second scenario, the first deposit is made on December 31, 2015, and interest is compounded annually.
Using the FVAD of $1 table;Payment: $2,000n = 4i = 12%
Fund balance 12/31/2019: $10,706 Therefore, the fund balance at the end of 2019 will be $10,706.Scenario 3In the third scenario, the first deposit is made on December 31, 2015, and interest is compounded quarterly. Using the FV of the $1 chart, we get the following calculation:
Deposit Date i = n = Deposit Fund Balance 12/31/2015 3% 16 $2,000 $3,20912/31/2016 3% 12 $2,000 $2,85212/31/2017 3% 8 $2,000 $2,53412/31/2018 3% 4 $2,000 $2,251
The interest rate is 3%, and the payment is $2,000. Hence, the fund balance at the end of 2019 will be $10,846.Scenario 4In the fourth scenario, the first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.
Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019$2,000 $8,000 Hence, the fund balance at the end of 2019 will be $8,000.
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2.11.2 Project task: the parallax problem
Answers
The parallax problem is a phenomenon that arises when measuring the distance to a celestial object by observing its apparent shift in position relative to background objects due to the motion of the observer.
The parallax effect is based on the principle of triangulation. By observing an object from two different positions, such as opposite sides of Earth's orbit around the Sun, astronomers can measure the change in its apparent position. The greater the shift observed, the closer the object is to Earth.
However, the parallax problem introduces challenges in accurate measurement. Firstly, the shift in position is extremely small, especially for objects that are very far away. The angular shift can be as small as a fraction of an arcsecond, requiring precise instruments and careful measurements.
Secondly, atmospheric conditions, instrumental limitations, and other factors can introduce errors in the measurements. These errors need to be accounted for and minimized to obtain accurate distance calculations.
To overcome these challenges, astronomers employ advanced techniques and technologies. High-precision telescopes, adaptive optics, and sophisticated data analysis methods are used to improve measurement accuracy. Statistical analysis and error propagation techniques help estimate uncertainties associated with parallax measurements.
Despite the difficulties, the parallax method has been instrumental in determining the distances to many stars and has contributed to our understanding of the scale and structure of the universe. It provides a fundamental tool in astronomy and has paved the way for further investigations into the cosmos.
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Consider a sample with data values of 52, 62, 71, 52, 56, 65, 61, 70, 52, 57, and 59. compute the mean, median, and mode. if required, round your answers to two decimal places.
Answers
The mean, median, and mode of the sample are 63.0, 58.0, and 52, respectively.
The mean, median, and mode of a sample can be calculated as follows:
Mean: The mean is the sum of all the data values divided by the number of data values.mean = (52 + 62 + 71 + 52 + 56 + 65 + 61 + 70 + 52 + 57 + 59) / 11
mean = 693 / 11 = 63.0
When a set of data is ordered in order, the median is the middle value in the set. The median is the midway value when there are an odd number of data items. If the number of data values is even, the median is the average of the two middle values.Arranging the data in order: 52, 52, 52, 56, 57, 59, 61, 62, 65, 70, 71
The median is the average of the 6th and 7th values, which is (57 + 59) / 2 = 58.0
The value that appears the most frequently in the data is the mode.The mode is 52, which occurs 3 times.
So, the mean, median, and mode of the sample are 63.0, 58.0, and 52, respectively.
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Which function represents this graph?
A. f(x) = (1/10)^x
B. f(x)=10^x-4
C. f(x)=(1/10)^x-4
D. f(x)=10^x
Answers
Answer:f(x) = (1/10)^x
Step-by-step explanation:Step-by-step explanation: Still stuck? Get 1-on-1 help from an expert tutor now.
Answer: B. f(x)=10^x-4
Step-by-step explanation: Trust me I'm 100% sure!!!
for each linear equation in the table, indicate weather the equation has no solution, one solution, or infinitely many solutions x-3=x+3-4x-8=4x+8
Answers
Given:
• x - 3 = x + 3
Let's solve the equation above
x - 3 = x + 3
x - x = 3 + 3
0 = 6
Therefore, since 0 = 6, we can say the equation has no solution.
Equation 2:
-4x - 8 = 4x + 8
Let's solve the equation.
-4x - 4x = 8 + 8
-8x = 16
Divide both sides by -8:
\(\begin{gathered} \frac{-8x}{8}=\frac{16}{-8} \\ \\ x=-2 \end{gathered}\)Since x = -2, we can say the equation has one solution
ANSWER:
a) No solution
b) One solution
can someone please help!!!
Answers
Step-by-step explanation:
You graph the X first and then the Y second. Graph ( 7, -30)
Answer:
-6
Step-by-step explanation:
(Y1-y2)\(x1-x2)=(-30--54)\(7-11)
=24\-4=-6
On a map where each unit represents 100 miles, two airports are located at P(1,17) and Q(12,10). What is the distance, to the nearest whole mile, between the two airports?
Answers
The distance between the two airports, to the nearest whole mile, is 13 miles.
To find the distance between two points on a map, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the two airports are P(1,17) and Q(12,10). Using these coordinates, we can calculate the distance between them.
x1 = 1
y1 = 17
x2 = 12
y2 = 10
Distance = √((12 - 1)^2 + (10 - 17)^2)
Distance = √(11^2 + (-7)^2)
Distance = √(121 + 49)
Distance = √170
Distance ≈ 13.04
Since each unit on the map represents 100 miles, the distance between the two airports is approximately 13.04 units. Rounding to the nearest whole mile, the distance is 13 miles.
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Question 24 O Mark this question For the data plotted in the scatterplot, the r2 value was calculated to be 0.9846. Yearly Income Vs. Age Yearly income (in thousand dollars) 0 15 20 25 30 35 40 45 50 55 60 65 70 Age Which of the following sets of statements is true? 98.5% of the variation in age is explained by a nonlinear relationship with yearly income. The correlation coefficient, r, is 0.969. 98.5% of the variation in age is explained by a linear relationship with yearly income. The correlation coefficient, r, is 0.969. 98.5% of the variation in yearly income is explained by a linear relationship with age. The correlation coefficient, r, is 0.992 98.5% of the variation in yearly income is explained by a nonlinear relationship with age. The correlation coefficient, r, is 0.992.
Answers
The correct statement is: 98.5% of the variation in age is explained by a linear relationship with yearly income. The correlation coefficient, r, is 0.969.
The r2 value of 0.9846 means that approximately 98.5% of the variability in age can be explained by the linear relationship with yearly income. Since the r2 value is the square of the correlation coefficient, r, we can find r by taking the square root of 0.9846, which gives us approximately 0.969. Therefore, the correct statement is that the correlation coefficient, r, is 0.969.
The other options are incorrect because they either mix up the variables (e.g., stating that the variation in income is explained by age) or introduce information that is not supported by the given r2 value (e.g., stating that the relationship is nonlinear).
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Which graph is likely to have a leading coefficient value of -1/8?
Answers
Answer:
The second graph: only this one opens downward.
A public university charged $9500 for tuition and fees in the 2015–2016 academic year. This cost increased at a constant rate and reached $10,500 in the 2020–2021 academic year. Estimate the cost of tuition and fees in the 2024–2025 academic year.
Answers
how?
2015 -16: $95002020-21: $10500, the difference between the fees of the academic year is,10500 - 9500= 1000.The fee in increase per year in the 5 years ( 2015 to 2020)= 1000/ 5= 2002020 -21: $105002024 -25:?The fees increase per year is $200.Therefore, in 4 years (2020 to 2025), the fees have increased by $200/ per for 4 yrs.$10500 + ($200/ yr x 4 yr)= $11300.Therefore, the estimated cost of tuition and fees in the year 2024-2025 academic year would be $11300.
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Tuition and fees are expected to cost $11300 in the 2024-2025 academic year.
What is meant by constant rate?When the ratio of output to input remains constant at any point along the function, the rate of change is constant. The slope is another name for the constant rate of change. Linear functions will change at a constant rate. Constant rate, also known as uniform rate, refers to something moving at a fixed and steady pace or at an average speed. A car, for example, travels for three hours. In the first hour, it travels 30 miles, 45 miles in the second hour, and 75 miles in the third hour. Using the distance equals rate times time formula, the constant rate of change equals distance divided by time.Therefore,
2015 -16: $9500
2020-21: $10500, the difference between the fees of the academic year is,
10500 - 9500= 1000.
The fee in increase per year in the 5 years ( 2015 to 2020)= 1000/ 5= 200
2020 -21: $10500
2024 -25:
The fees increase per year is $200.
Therefore, in 4 years (2020 to 2025), the fees have increased by $200/ per for 4 yrs.
$10500 + ($200/ yr x 4 yr)
= $11300.
Therefore, the estimated cost of tuition and fees in the year 2024-2025 academic year would be $11300.
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Which of the following will be equal to 1 ⁄4?
Answers
Answer:
The fractions equivalent to 1/4 are 2/8, 3/12, 4/16, etc.
Step-by-step explanation:
The box-and-whisker plot below represents some data set. What percentage of the data values are greater than or equal to 92?
Answers
The percentage of the data values in the box-and-whiskers plot, that are greater than or equal to 92, which is the 75th percentile, based on the five number summary, are 25 percent of the data.
What is the five number summary of a box-and-whiskers plot?The five number summary of a box-and-whiskers plot are value of the minimum, the first quartile, the median, the third quartile and the maximum value of the set of data.
Please find attached the possible box-and-whiskers plot in the question, obtained from a similar question on the internet
The five number summary from the box-and-whiskers plot are;
Minimum value = 82
The first quartile or the 25th percentile = 87
The median, second quartile or the 50th percentile = 90
The third quartile or the 75th percentile = 92
The value 92 on the data represents the 75th percentile, therefore, the percentage of the data that are greater than or equal to 92 are; 100 - 75 = 25 percent
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Solve for d when t = 0, t = 3, t = 5 d = t2 asap
Answers
Answer:
see below
Step-by-step explanation:
d = t^2
t =0
d = 0^2 = 0
t =3
d = 3^2 = 9
t =5
d = 5^2 = 25
Answer:
Step-by-step explanation:
If you are using
t =0
d = 0
t =3
d = 3^2 = 9
t =5
d = 5^2 = 25
At the beginning of the year, a man invested 2000 in a bank at 12.5% compound interest. if he withdrew 650 at the end of each academic to pay school fees, how much had he left at the beginning of the year.
Answers
At the beginning of the year, the man had $1,936.97 left. the man's initial investment of $2000 grew with compound interest to $2000 * (1 + 12.5/100)^1 = $2250. Then, he withdrew $650 at the end of each academic term, which amounts to a total of $650 * 4 = $2600 for the year. Therefore, he had $2250 - $2600 = $1,936.97 left at the beginning of the year.
To calculate the amount the man had left at the beginning of the year, we need to consider the effects of compound interest and the withdrawals made throughout the year.
The initial investment of $2000 grew with compound interest. The formula to calculate compound interest is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, the interest rate is 12.5% or 0.125, and the investment was made for 1 year. Plugging these values into the formula, we have A = 2000(1 + 0.125/1)^(1*1) = $2250.
Next, the man withdrew $650 at the end of each academic term, which happened 4 times throughout the year. Therefore, the total amount withdrawn is $650 * 4 = $2600.
To find the amount left at the beginning of the year, we subtract the total withdrawals from the final amount after compound interest: $2250 - $2600 = -$350. this result indicates that the man had a deficit of $350 at the beginning of the year, meaning he needed additional funds to cover his expenses.
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**Answers needed fast please**
Answers
Its answers hope it’s help
A fence is to be built to enclose a rectangular area of square feet. The fence along three sides is to be made of material that costs $ per foot. The material for the fourth side costs $ per foot. Find the dimensions of the rectangle that will allow for the most economical fence to be built.
Answers
The dimensions of the rectangle that will allow for the most economical fence to be built is 50 feet and 25 feet in length and width respectively.
Given in the question,
Area = 1250 ft²
The three sides cost $3 per foot, and the fourth side costs $9 per foot.
Let x and y be the length and width of the rectangle.
Because the area is 1250 ft², therefore
xy = 1250, or
y = 1250/x
Case 1: Three sides are (x,y,x) and the 4-th side is y.
The cost is
C = 3(2x +y) + 9y
= 6x + 12y
= 6x + 12(1250/x)
= 6x + 15000/x
For C to be minimum, C' = 0. That is
6 - 15000/x² = 0
x² = 15000/6
x = 50 ft, y = 1250/50 = 25 ft
C = 6(50) + 15000/(50²) = $600
Case 2: Three sides are (y,x,y) and the 4-th side is x.
The cost is
C = 3(x + 2y) + 9x
= 12x + 6y
= 12x + 6(1250/x)
= 12x + 7500/x
For C to be minimum, C' = 0.
12 - 7500/x² = 0
x² = 7500/12 = 625
x = 25 ft, y = 50ft
C = 12(25) + 7500/25 = $600
Thus, the Dimensions will be 25 feet and 50 feet.
Question:
A fence is to be built to enclose a rectangular area of 1250 square feet. the fence along three sides is to be made of material that costs $3 per foot. the material for the fourth side costs $9 per foot. find the dimensions of the rectangle that will allow for the most economical fence to be built.
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Help ASAP!!! Easy question i guess?
Which of the following two-dimensional shapes can be rotated to create a sphere?
A. Triangle
B. Square
C. Circle
D. Ellipse
please give an explanation and not just a letter or answer. Thank you....
Answers
Answer:
C. Circle
Step-by-step explanation:
A sphere is just a three dimensional circle, if you rotate a two dimensional object it becomes three dimensional.
Answer:
circle
Step-by-step explanation:
is your answer.......
What does “of” when you find a fraction of a number
Answers
Answer:
To find the unit fraction of a number, you need to divide the number by the denominator.
Step-by-step explanation:
The word “of” means the relationship between the fraction and the number.
Antonia is factoring the polynomial, which has four terms. 21x3−63x2 15x−45 3[7x3−21x2 5x−15] 3[7x2(x−3) 5(x−3)] Which is the completely factored form of her polynomial? 21x2(x − 3) 36x2(x − 3) 3(7x2 5) (x − 3) 3(12x2 5) (x − 3).
Answers
Answer:
21x2(x-3)
Step-by-step explanation:
Answer: Its C- 3(7x^2+5)(x-3)
Step-by-step explanation:
took it on edge2022
Carrie drew some nonlinear graphs for some real world scenarios. Which of the following scenarios could she have drawn a graph for?
Answers
The non linear graph could be exhibited by the windows in option C
What is a non linear graph?
It is possible for a graph to be non-linear if the relationships between the variables are not linear. When plotted on a coordinate plane, the graphed points in a linear graph result in a straight line. A non-linear graph, on the other hand, has points instead of a straight line.
Curves, parabolas, exponentials, logarithmic curves, and other shapes and forms are among the many possible non-linear graph configurations. The type of mathematical function or equation used to depict the relationship between the variables determines the graph's appearance.
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2 Select the correct answer from each drop down menu, Determine the dependence between the quantities for the given graph, Package Delivery Charges Total Cost ($) Weight of the Package (in pounds) The depends on the total cost number of packages weight of the package cost per package Reset Next
Answers
Answer:
The Total Cost depends on the Weight of the package
Step-by-step explanation:
Step-by-step explanation:
I just took the test on plato, and got this correct!
The total cost depends on the weight of the package in pounds.
What is a linear equation?The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the graph, the equation of the line is given as,
Total cost = (Cost per pound) x (Weight of package in pound)
The total cost depends on the weight of the package in pounds.
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The complete question is given below.
