Solution:
Given that;
An angle measures 3° more than two times its complement x.
Let the larger angle be y
\(x+y=90\degree\)The angle measures 3° more than two times its complement, i.e.
\(y=(2x+3)\degree\)Then,
\(\begin{gathered} x+y=90\degree \\ x+(2x+3)\degree=90\degree \\ x\degree+2x\degree+3\degree=90\degree \\ 3x\degree=90\degree-3\degree \\ 3x=87\degree \\ x=\frac{87\degree}{3} \\ x=29\degree \end{gathered}\)The smaller angle, x is 29 degrees
The larger angle is
\(y=2x+3=2(29)+3=58+3=61\degree\)The larger angle, y is 61 degrees
The total is
\(x+y=29+61=90\degree\)The total is 90 degrees.
PLS HELP WILL MARK BRAINLIEST! NO FAKE ANSWERS!
Name the circle and find mDCF
Answer:
Step-by-step explanation:
A circle is named by its center.
Name of the circle: Circle B
∠DCF = 90° {angle on a semicircle is right angle}
Answer: B∠DCF = 90° I hope this helps!
Convert 4pi/5 to degrees.
Answer:
To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .
Answer:
144∘
Step-by-step explanation:
4π5⋅180∘π=144∘
can somwone please do thwse questions
Answer: Follow these exact answers
A C D B A D
Step-by-step explanation: Here is a joke to make you laugh if I'm wrong: What do you call an IT teacher who touches up his students? A PDF file
Determine the circumference of a circle with a radius of 8 meters.
50.2 meters
100.5 meters
201.0 meters
25.1 meters
Answer:
50.2 is the answer as the answer came in point
1. The table shows the number of pages a
student reads in various amounts of time.
2. The dou
rate at
Dollars
Time (h)
3
5
9
10
Pages
195
325
585
650
Hours
Tell whether the relationship is a proportional relationship. Ex
Answer:
Please post the chart
Step-by-step explanation:
Using a p-value of .05 means that there is a 95% chance that the results of a study are truly statistically significant. This means that there is still a 5% chance those results are due to chance. This, combined with ________, are two main contributing factors to the reproducibility crisis.
Step-by-step explanation:
”. What this means is that there is less than a 5% probability that the results happened just by random chance, and therefore a 95% probability that a results reflects a meaningful pattern in human psychology. We call this statistical significance, and, statistically speaking, this is a pretty high standard
If this means that there is still a 5% chance those results are due to chance. This, combined with publication bias , are two main contributing factors to the reproducibility crisis.
What is publication bias?When the results of research investigations affect whether or not they are published, it is known as publication bias.
It alludes to the propensity of academics, journals and other interested parties to publish studies with statistically significant or favourable outcomes while omitting or underreporting those with non-significant or unfavourable outcomes.distorted and incomplete.
Learn more about publication bias here:https://brainly.com/question/25877200
#SPJ3
hey everyone im back!!!!!!! But im in Texas now! :D
Answer:
Hiii when I went to Florida Miami I landed in Texas
When 36 is subtracted from the square of a number, the result is five times the number. What is the positive solution?
Answer:
9
Step-by-step explanation:
\(x^{2}\) - 36 = 5x
\(x^{2}\) - 36 = 5x
\(x^{2}\) -5x = 36
\(9^{2}\) - 45 = 36
+ 45 + 45
-----------------------
81 = 81 ✅
\(9^{2}\) - 36 = 5(9)
81 - 36 = 45 ✅
For each of the following scenarios, determine whether the mean or median better represents the data (place a check mark in the appropriate box). For each case, explain why you chose that particular average. The following three scenarios below do not have a specific data set. Be sure to consider all possibilities/outcomes! "Create" a data set if you need to.
In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..
1. Scenario: Income distribution of a population
- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.
2. Scenario: Exam scores in a class
- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.
3. Scenario: Housing prices in a city
- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.
Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.
Learn more about data here:
https://brainly.com/question/29117029
#SPJ11
Given h(x) = -x + 2, find h(4).
The value of the function h(x) at x equal to 4 is -2.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given function is h(x) = -x + 2, the value of the function at x equal to 4 will be calculated as below:-
h(x) = -x + 2,
h(x) = -(4) + 2,
h(x) = -2
Therefore, the value of the function h(x) at x equal to 4 is -2.
To know more about a function follow
https://brainly.com/question/25638609
#SPJ2
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
https://brainly.com/question/26894404
#SPJ11
the phase change line demonstrates a change in conditions on a graph and is represented by
The phase change line, also known as the phase boundary or phase transition line, is a line on a graph that represents a change in conditions for a substance. This line shows the temperature and pressure conditions at which a substance will change from one phase to another, such as from a solid to a liquid or from a liquid to a gas.
The phase change line is represented on a graph by a diagonal line that separates two regions where the substance is in different phases. This line usually slopes upwards from left to right, indicating that higher temperatures and pressures are needed to change the substance from one phase to another.
The phase change line is an important concept in thermodynamics and is used to understand the behavior of substances under different conditions. For example, the phase change line for water shows that at normal atmospheric pressure, water will freeze at 0°C and boil at 100°C. However, at higher pressures, the freezing and boiling points will change, and water may exist in different phases, such as a supercritical fluid.
To know more about transition line visit:-
https://brainly.com/question/13461671
#SPJ11
(10.07 mc) given what degree maclaurin polynomial is required so that the error in the approximation is less than 0.001?
n=4 is the degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
Given that,
The expression is
e⁰⁵=1+0.5+0.5²/2!+0.5³/3!+.....
We have to find what degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
We know that,
What is the polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
√e=1.64872
Pₙ( x)= e⁰⁵=1+0.5+0.5²/2!+0.5³/3!+.....
P₂=1+0.5+0.5²/2!=1.625
P₃= P₂+0.5³/3!=1.6458
P₄= P₃+0.5⁴/4!=1.648404
√e - P₄ = -0.0003158
Therefore, n=4 is the degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
To learn more about approximation visit: https://brainly.com/question/15696262
#SPJ4
can someone give me the answers to these 5?? pleaseee!!
The MAD of the hourly wages given would be $ 0.48. The range would be $ 2.00. Q1 would be $8.25. Q3 would then be $9.25. The IQR would be $1.00
How to find the number summaries ?Calculate the MAD:
First, find the mean of the data set:
mean = (sum of all values) / (number of values)
mean = (8.25 + 8.50 + 9.25 + 8.00 + 10.00 + 8.75 + 8.25 + 9.50 + 8.50 + 9.00) / 10
mean = 88.00 / 10 = 8.80
Then, find the mean of these absolute deviations:
MAD = (sum of absolute deviations) / (number of values)
MAD = (0.55 + 0.30 + 0.45 + 0.80 + 1.20 + 0.05 + 0.55 + 0.70 + 0.30 + 0.20) / 10
MAD = 4.10 / 10 = 0.41
Calculate the range:
range = maximum value - minimum value
range = 10.00 - 8.00 = 2.00
Find Q1 and Q3:
{8.00, 8.25, 8.25, 8.50, 8.50, 8.75, 9.00, 9.25, 9.50, 10.00}
Q1 is the median of the lower half, and Q3 is the median of the upper half.
Lower half: {8.00, 8.25, 8.25, 8.50, 8.50}
Upper half: {8.75, 9.00, 9.25, 9.50, 10.00}
Q1 = median of lower half = 8.25
Q3 = median of upper half = 9.25
Calculate the IQR:
IQR = Q3 - Q1
IQR = 9.25 - 8.25 = 1.00
Find out more on MAD at https://brainly.com/question/3250070
#SPJ1
Assemble the proof by dragging tiles to the Statement and Reasons columns.
Answer:
Step-by-step explanation:
In a two column proof we always list the given information first. Then, we add statements and reasons in order of the steps.
Statements Reasons
∠ABC≅∠DEF Given
∠DEF=∠GHI Given
∠ABC=∠GHI Substitution Property of Equality
Answer:
1. <ABC ~/= <DEF - given
2. <GHI ~/= <DEF - given
3. <DEF ~/= <GHI - symmetric property
4. <ABC ~/= <GHI - transitive property
5. m<ABC = m<GHI - definition of ~/= angles
Step-by-step explanation:
edge 22
Neil is growing sugar crystals for his science fair experiment. He wants to find out if the amount of sugar affects the size of the crystal. Neil adds 18 tablespoons of sugar to his first bowl of water. He plans to add less sugar to the second bowl
Neil is growing sugar crystals for his science fair experiment. He wants to find out if the amount of sugar affects the size of the crystal. Neil adds 18 tablespoons of sugar to his first bowl of water. He plans to add less sugar to the second bowl.
The purpose of Neil's experiment is to find out if the amount of sugar affects the size of the crystal. Neil adds 18 tablespoons of sugar to his first bowl of water and plans to add less sugar to the second bowl. Sugar crystals form by cooling a hot, concentrated sugar solution. After the crystals have grown, Neil should weigh and measure their size. Neil will then compare the sizes of the crystals from each bowl. If he concludes that adding more sugar to the water causes the crystals to grow larger, Neil's hypothesis will have been supported. The independent variable is the amount of sugar, which is the amount Neil adds to each bowl of water. The dependent variable is the size of the sugar crystals.For such more questions on Neil
https://brainly.com/question/31278726
#SPJ8
A tennis Court has an area of 312 yds. If the length is 2 yds more than twice the width, find the dimensions of the court.
Area = 312 yds
length (l) = 2width + 2
Formula
Area = length x width
Substitution
312 = (2 width + 2) (width)
312 = 2width^2 + 2width
2width^2 + 2width - 312 = 0
width^2 + width - 156 = 0
Factor
( x + 13)(x - 12) = 0
x1 = -13 x2 = 12
width = 12 yds
length = 2(12) + 2
length = 24 + 2
length = 26
Results
length = 26 yds
width = 12 yds
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
Answer:
Unfortunately I was only able to solve the second question
Step-by-step explanation:
So sorry if I'm wrong but this is what I got:
Volume of a cylinder
V=πr^2h
V=π(4^2)(19)
V=955.04
Lateral S.A.
S.A.=2πrh
S.A.=2π(4)(19)
S.A.=477.52
Total S.A.
S.A.=2πrh+2πr^2
S.A.=2π(4)(19)+2π(4^2)
S.A.=578.05
Which rule describes the composition of transformations that maps figure ABCDE to figure A" B" C" D" E"?
Answer:
It would be the fourth choice.
Step-by-step explanation:
To get ABCDE to A'B'C'D'E', you need to reflect the shape across line M. Then to go from A'B'C'D'E' to A''B''C''D''E'', you need to rotate about point C 180⁰.
It was first reflected across the x axis which would be line m. And since point c is the same place for the two bottom images , after the reflection it was rotated on point c.
The answer should be the 4th choice
PLEASE HELP AND QUICK WILL GIVE THANKS
Answer:
15.012
Step-by-step explanation:
tan(theta) = opposite/adjacent
tan65 = x/7
x = 7tan65
x = 15.012
hope this helped!
2. Calculate the missing angle: 75 50° a)
Answer:
The missing angle is 55°.
Step-by-step explanation:
==========================================
The three interior angles of a triangle add up to 180°.
This means that:
\(x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\rule{150}{0.5}\\x - \text{unknown angle}\)
==========================================
Using the equation above, we would solve for x.
\(x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\rule{150}{0.5}\\x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\\x\textdegree + 125\textdegree=180\textdegree\\\\x\textdegree + 125\textdegree-125\textdegree=180\textdegree - 125\textdegree\\\\\boxed{x = 55\textdegree}\)
The missing angle should be 55°.
==========================================
Hope this helps.
Answer:
25
Step-by-step explanation:
75 - 25 is 50
50 - 25 is 25
So the answer is 25
Hope this helps!
Find the length of the missing side using Pythagorean Theorem round to the nearest tenth if necessary 10.3 yd 8.4 yd
The missing side of triangle is 13.3 yd.
What is Pythagorean Theorem?
The Pythagorean theorem, also known as Pythagoras' theorem, is a basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides.
There are two sides of triangle are given.
We have to find the missing side of triangles.
Let x be the missing side of triangles.
By using Pythagorean theorem,
(10.3)^2 + (8.4)^2 = x^2
106.09 + 70.56 = x^2
176.55 = x^2
13.3 = x
x = 13.3
Hence, the missing side of triangle is 13.3 yd.
To know more about Pythagorean Theorem, click on the link
https://brainly.com/question/343682
#SPJ1
Complete question:
Complete question is attached below.
You pay $1.56 for 4 pounds of bananas. Write and solve an equation to find out how much it costs for 1 pound of bananas.
Answer:
1.56 / 4 = 0.39
1 Pound of bananas cost $0.39
Step-by-step explanation:
Answer:
just divide 1.56 by 4
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!
Answer:
3
Step-by-step explanation:
re-prove the result of problems iv, question 13 that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic.
Using the fundamental theorem of arithmetic, we have proven that (a, 6) [a, b] = ab for positive integers a and b.
To prove that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic, we'll proceed as follows:
Step 1: Prime factorization of a and 6:
Using the fundamental theorem of arithmetic, we can write a and 6 as products of their prime factors:
a = p1^k1 * p2^k2 * ... * pn^kn,
6 = 2^1 * 3^1.
Step 2: Finding the greatest common divisor (a, 6):
To find the greatest common divisor (a, 6), we consider the common prime factors between a and 6 and take the minimum exponent for each prime factor. In this case, the common prime factor is 2 with an exponent of 1. Therefore, (a, 6) = 2^1.
Step 3: Prime factorization of [a, b]:
Using the fundamental theorem of arithmetic, we can write [a, b] as a product of its prime factors:
[a, b] = p1^m1 * p2^m2 * ... * pn^mn.
Step 4: Finding the least common multiple [a, b]:
To find the least common multiple [a, b], we consider the prime factors between a and b and take the maximum exponent for each prime factor. In this case, we have already determined that the common prime factor is 2 with an exponent of 1. Therefore, [a, b] = 2^1.
Step 5: (a, 6) [a, b] = ab:
Substituting the values we found, we have:
(a, 6) [a, b] = 2^1 * 2^1 = 2^2 = 4.
Since ab = 4, we have proven that (a, 6) [a, b] = ab for positive integers a and b using the fundamental theorem of arithmetic.
Learn more about the least common multiple at:
brainly.com/question/10749076
#SPJ11
The length of a rectangular sandbox is 6 feet less than 3 times the width. The perimeter of the
sandbox is 36 feet.
Which statement is true
The length of a rectangular sandbox is
6 feet less than 3 times the width. The perimeter of the sandbox is 36 feet.
Which statement is true?
a) The equation (3w − 6) +w = 36
can be used to find the width of the rectangle, and the width is 6 feet.
b) The equation(3w −6) + w =36
can be used to find the width of the rectangle, and the width is 12 feet.
c) The equation 2(3w − 6) + 2w = 36
can be used to find the width of the rectangle, and the width is 6 feet.
d) The equation 2(3w − 6) +2w = 36
can be used to find the width of the rectangle, and the width is 12 feet.
Answer:
Option c) is true
The equation 2(3w − 6) + 2w= 36
can be used to find the width of the rectangle, and the width is 6 feet.
Step-by-step explanation:
The length of a rectangular sandbox is
6 feet less than 3 times the width. The perimeter of the sandbox is 36 feet.
L = 3 × W - 6
L = 3W - 6
The formula for perimeter of a rectangle = 2(L + W)
= 2L + 2W
Hence, we substitute
P = 2L+ 2W
36 = 2(3W - 6) + 2W
36 = 6W -12 + 2W
Collect like terms
36 +12 = 6W + 2W
48 = 8W
W = 48/8
W = 6
The width is 6 feet
Which statement is true?
Option c) is true
The equation 2(3w − 6) + 2w= 36
can be used to find the width of the rectangle, and the width is 6 feet.
As presented in the passage, Mrs. Quabarl is best
described as
A) superficially kind but actually selfish.
B) outwardly imposing but easily defied.
C) socially successful but irrationally bitter.
D) naturally generous but frequently imprudent.
Correct option is B. Mrs. Quabarl is best described as outwardly imposing but easily defied.
Mrs. Quabarl is very vocal about her demands and imposing in her wishes as stated in the passage. But she is also docile and surprised when she is defied, though she speaks nothing of it.
There is no indication of her being selfish, or bitter, neither imprudent. Thus, options A,C and D are incorrect.
Lady Carlotta is approached by the “imposingly attired lady” Mrs. Quabarl while standing at a train station (lines 32-35).
Mrs. Quabarl assumes Lady Carlotta is her new nanny, Miss Hope: “You must be Miss Hope, the governess I’ve come to meet” (lines 36-37). Lady Carlotta does not correct Mrs. Quabarl’s mistake and replies, “Very well, if I must I must” (line 39).
To learn more about passages from given link
https://brainly.com/question/12555695
#SPJ4
Based on the results of the above study can we conclude that spending more than 7 hours per week on physical activity leads to lower stress levels in adolescents? Select Yes or No and a reason for your choice. No because A. Researchers only surveyed participants and did not tell them what to do. B. A sample size of 1508 is large enough to establish causal relationships. C. Some teenagers are not responsible enough to make good decisions about their health. D. There was no difference in physical activity across genders.
Based on the study described, it is true that physical activities lead to lower stress and a sample size of 1508 is large enough to establish causal relationships (Option A).
What can be concluded about this study?In this study, the researchers analyzed the effect of physical activity on stress levels. To do this, they chose a representative sample, which included 1508 teenagers and compared the results not only by physical activity but also by gender.
Based on this, the sample is representative and due to the differences in the data the results showed that the more teenagers exercise the less stressed they are.
Note: This question is incomplete. Here is the complete information:
Attached image
Learn more about sample in https://brainly.com/question/12823688
#SPJ4
Help please answer this point an brainlist
[25 POINTS] A cylinder has a volume of 400π cm3. Find the dimensions that minimize its surface area.
Answer:
r = 5.848cm, h = 11.696cm
Step-by-step explanation:
Surface area: \(SA=2\pi rh+2\pi r^2\)
Volume: \(V=\pi r^2h\)
Therefore, the height of a cylinder given its volume would be \(h=\frac{V}{\pi r^2}\), thus:
\(SA=2\pi r(\frac{V}{\pi r^2})+2\pi r^2\\\\SA=\frac{2V}{r}+2\pi r^2\\\\SA=\frac{2(400\pi)}{r}+2\pi r^2\\\\SA=\frac{800\pi}{r}+2\pi r^2\)
We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:
\(\frac{d(SA)}{dr}=-\frac{800\pi}{r^2}+4\pi r\)
\(0=-\frac{800}{r^2}+4\pi r\)
\(0=800\pi+4\pi r^3\)
\(-800\pi=4\pi r^3\)
\(-200=r^3\)
\(r\approx5.848\)
If \(0If \(r>5.848\), then the surface area of the cylinder increases
Therefore, the surface area is minimized when the radius is \(r=5.848cm\), making the minimum height \(h=\frac{V}{\pi r^2}=\frac{400\pi}{\pi(5.848)^2}\approx11.696cm\).
In conclusion, the 2nd option is correct.