Part E
For any diagonal line segment on the coordinate grid, you can create two triangles that have the line segment as the hypotenuse. Are the lengths of the vertical line segments the same for both triangles? Are the lengths of the horizontal line segments the same for both triangles? What does that mean?
Answers
The triangle was created, using a diagonal as a hypotenuse, where the length of the horizontal and vertical lines is similar.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
Step to create the triangle,
1. Draw a horizontal line parallel to the x-axis from the endpoints of the diagonal.
2. Draw a vertical line parallel to the y-axis from the endpoints of the diagonal.
3. The intersection point of these horizontal and vertical lines is the vertex of the triangle formed and the diagonal line is the common hypotenuse between the triangle.
4. When measuring the horizontal and vertical lines we will see they are equal for both the triangle formed.
Thus, the triangle was created, using a diagonal as a hypotenuse, where the length of the horizontal and vertical lines is similar.
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Related Questions
your grandfather bought a baseball card in 1960 for $50. The card appreciates 3% in value ever year. How much will it be worth in 2020?
Answers
Answer:
In 2020, the baseball card will be worth $1,072.50.
I hope this helps!
Step-by-step explanation:
show that an ordered set has the least upper bound property if and only if it has the greatest lower bound property.
Answers
An ordered set has the least upper bound property if and only if it has the greatest lower bound property.
Every nonempty subset A0 of an ordered set A is said to have the least upper bound property and has the lowest upper bound that is constrained above. A fulfills this requirement. Assume B0 is a set of any size with a lower bound. We must demonstrate that it has the largest lower bound. Assume LA is the collection of all the set B0's lower bounds.
∃b0∈B0,∀x∈L,x≤b0.
L is therefore bound above. So it has the lowest upper bound. Let b represent the lower limit of L.
∀x∈L,x≤b.
If ∃b′∈B0,b′≤b, which defies the assertion that b is the lowest upper bound of L. As a result,
b≤y,∀y∈B0.
So, b is the lower bound.
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Which inequality has the solution shown below?
0.3x+8 <3
0.2x+5>2
←++
-18 -17 -16 -15 -14 -13 -12
0.4x +7<1
0.52+6>3
Answers
1) Convert decimals to percentages a) 0.543 b) 0.0098 c)1. 67
2) Convert percentages to decimals a) 10% b) 0.010%
3) Convert mixed numbers to fractions and decimals a) 2 1/3 c) 5 3/5
4) Convert fraction to mixed numbers a) 11/4 b) 16/7
Answers
A conversion of the decimals to percentages are as follows;
a) 0.543 = 54.3%.
b) 0.0098 = 0.98%
c) 1.67 = 167%.
A conversion of the percentages to decimals are as follows;
a) 10% = 0.1
b) 0.010% = 0.0001
A conversion of the mixed numbers to fractions and decimals are as follows;
a) 2 1/3 = 7/3 = 2.33
c) 5 3/5 = 28/5 = 5.6
A conversion of the fraction to mixed numbers are as follows;
a) 11/4 = 2 3/4
b) 16/7 = 2 2/7
What is a percentage?In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.
In order to convert decimal numbers to percentages, we would have to multiply the number by 100 as follows;
Decimal number = 0.543 × 100 = 54.3%.
Decimal number = 0.0098 × 100 = 0.98%.
Decimal number = 1.67 × 100 = 167%.
In order to convert percentages to decimal numbers, we would have to divide the number by 100 as follows;
Percentage = 10/100 = 0.1.
Percentage = 0.010/100 = 0.0001
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Dylan has $60. Does he have enough to buy two of everything if all items are on sale for 10% off, and the sales tax is nine percent?
if you can, can you show your work on a paper thank you
Answers
Answer:
Yes
Step-by-step explanation:
Since they want 10% off EVERY item, this makes it easier.
Instead of having to do them one of a time, we can add all these prices together, find 10%, and see if it's less than $60.
Let's start off with adding all the items
1.25+2.50+1.50+2.00+5.00+12.50+4.50+1.00 = 30.25
Multiplying by 2 because he wants two of everything
$60.50
Now we take 10% of that $60.50
10% in decimal form is 0.10, so we multiply
(60.50)(.10) = $6.05
Lastly, we subtract that $60.50 and $6.05
$60.50 - $6.05 = $54.45
Sales Tax is 9%
So again, we will multiply then add that sales tax
.09 is 9%
(54.45)(.09) = 4.9
Adding that together
54.45 + 4.9 = $59.35
So yes, he would have enough
the first 4 terms in a sequence are 8,5,2,-1... What is the recursive equation?
Answers
Currently taking discrete math so this one hits close to home haha :)
Provided that we are given the first term [tex]a_0=8[/tex], the equation is found by subtracting the previous term from the current term. The recursive equation is then used to find the following terms in the sequence.
Notice that each term decreases by three as we move along the sequence, this can be written in the form of the recursive equation:
[tex]a_n = a_n_-_1-3[/tex]
The tables below show the values of y corresponding to different values of x: Table A x 3 2 1 y 1 0 0 Table B x 3 5 4 y − 2 1 1 Which statement is true for the tables? (1 point)
a. Both Table A and Table B represent functions.
b. Both Table A and Table B do not represent functions.
c. Table A does not represent a function, but Table B represents a function.
d. Table A represents a function, but Table B does not represent a function.
Answers
Table A represents a function, but Table B does not represent a function.
Why Table A represents a function?Table must meet the following requirements in order to qualify as a function (see the.jpeg picture attached with this response):
The tables below show the values of y corresponding to different values of x: Table A x 3 2 1 y 1 0 0 Table B x 3 5 4 y − 2 1 1
1. Requirement: Each element in the first circle must be linked to at least one element in the second circle.
2. Requirement: There CANNOT be more than one relationship between items in the first circle and those in the second circle.
Table A is in fact a function because it meets BOTH of these requirements.
Table B is not a function since it meets the FIRST criteria but not the SECOND condition.
so
Table A represents a function, but Table B does not represent a function.
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Determine the open intervals on which the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE
Answers
The intervals of the function's behavior are given as follows:
Increasing: x > 3.Decreasing: x < -3.Constant: -3 < x < 3.How to classify the function as increasing, decreasing or constant?The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.The intervals are composed by the values of x that respect each condition, as follows:
Increasing: x > 3.Decreasing: x < -3.Constant: -3 < x < 3.More can be learned about functions at https://brainly.com/question/24808124
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I need answers to #8 with how to graph it and answer to #9 a-c
Answers
On solving the provided question, we can say that by unitary method 6 plate cost = $22.69 and 4 more cost = 32.49; total = 32.49+22.69 = $55.18 and cost of each plate = $5.518
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here, by unitary method
6 plate cost = $22.69
and 4 more cost = 32.49
total = 32.49+22.69 = $55.18
cost of each plate = $5.518
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The correct question is -
Pamela found a style of plate that she loves, but her local home goods store is out of stock. She decides to find the same style online. She has 6 plates in her cart right now and her total cost, including a fixed shipping cost is $22.69 . Later she decides to add 4 more plates to her cart. Her total is now $32.49 ,What is the cost of each plate?
3. I am a common multiple of 2, 4, and 30.
I am a factor of 120. The sum of my
digits is 6. What number am I?
Answers
Answer: 60
Step-by-step explanation:
1. You can multiply 2*30 to get 60 and with 4 you can do 4*20 would equal 60
2. 120/60 would equal 2 so it would not have any decimals so this shows it is 60.
3 Coffee 5.85
1 Diet Bev. – lg. 3.38
1 Sparkling Water 2.50
3 Ranch Chicken Sandwich 44.97
1 Classic Burger 12.95
1 Thai Stir-fry Special 11.50
2 Club Sandwich 22.98
Subtotal 104.13
Tax (13%) 13.54
Total 117.67
3. The restaurant recommends that groups of five or more tip 18% of the amount
before tax. Which of the following amounts is closest to 18%?
a) $15 b) $20 c) $25 d) $22
Answers
The tip amount is closest to 18% is, $15, So Option A is correct
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
3 Coffee 5.85
1 Diet Bev. – lg. 3.38
1 Sparkling Water 2.50
3 Ranch Chicken Sandwich 44.97
1 Classic Burger 12.95
1 Thai Stir-fry Special 11.50
2 Club Sandwich 22.98
Subtotal 104.13
Tax (13%) 13.54
Total 117.67
Tip amount 18% = 117.67x18/100
= 14.11
Hence, It is closest to $15
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Use law of sines and show all work please!!
Answers
Answer:
below
Step-by-step explanation:
sin x is to 13 as sin 28 is to 21
sinx /13 = sin(28)/21
sinx = 13 * sin (28) /21
sin x = .2906
x = arcsin (.2906) = 16.9°
Exercise 12. Show that each of these con tautology by using truth tables. a) [p ^ (p V q)] →q
b) [(p → 9)^(q + r)] → (p + r) c) [p ^ (p →q)] →q. d) [(p V q) 4 (p r)^(q + r)] →r
Exercise 14. Show that each conditional statement in Exercise 12 is a tautology using the fact that a conditional statement is false exactly when the hypothesis is true and the conclusion is false. (Do not use truth tables.)
Answers
(a) All the values in the last column of the truth table are T, the statement [p ^ (p V q)] → q is a tautology.
(b) All the values in the last column of the truth table are T, the statement [(p → q) ^ (q + r)] → (p + r) is a tautology.
(c) All the values in the last column of the truth table are T, the statement [p ^ (p → q)] → q is a tautology.
Here is the truth table for each of the conditional statements
a) [p ^ (p V q)] → q
p p V q p ^ (p V q) q [p ^ (p V q)] → q
T T T T T
T T T F F
T F F T T
F T F T T
F F F T T
F F F F T
Since all the values in the last column of the truth table are T, the statement [p ^ (p V q)] → q is a tautology.
b) [(p → q) ^ (q + r)] → (p + r)
p q r p → q q + r (p → q) ^ (q + r) p + r [(p → q) ^ (q + r)] → (p + r)
T T T T T T T T
T T F T T T T T
T F T F T F T T
T F F F F F T T
F T T T T T T T
F T F T T T F T
F F T T T T F T
F F F T F F F T
Since all the values in the last column of the truth table are T, the statement [(p → q) ^ (q + r)] → (p + r) is a tautology.
c) [p ^ (p → q)] → q
p p → q p ^ (p → q) q [p ^ (p → q)] → q
T T T T T
T F F T T
F T F T T
F T F T T
Since all the values in the last column of the truth table are T, the statement [p ^ (p → q)] → q is a tautology
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A manager has to choose three products out of five possibilities to take into production. How many different ways are there to choose three products out of five?
Answers
C(5,3) = 5! / (3! * 2!) = (5 * 4 * 3!) / (3 * 2 * 1) = 10.
So, there are 10 different ways to choose three products out of five.
The table shows values of a function f(x). What is the average rate of change of f(x) over the interval from x = 4 to x = 8? Leave answer as an improper fraction. Show formula and work for credit.
PLEASE HELP!!!!
X 4 5 6 7 8 9 10
f(x) -4 -2 8 10 11 14 18
Answers
Answer:
The average rate of change of f(x) over the interval from x = 4 to x = 8 can be calculated as follows:
\frac{f(8)-f(4)}{8-4} = \frac{11-(-4)}{8-4} = \frac{15}{4} = 3 \frac{3}{4}
Therefore, the average rate of change of f(x) over the interval from x = 4 to x = 8 is 3 \frac{3}{4}.
The average rate of change of f(x) over the interval from x = 4 to x = 8 is 3.75.
What is Average Rate of Change?
It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
we have the table,
x 4 5 6 7 8 9 10
f(x) -4 -2 8 10 11 14 18
So, the value of f(4)= -4 and f(8) = 11
Now, average rate of change
= f(8)- f(4) / (8-4)
= 11 - (-4) / 4
= 15 / 4
= 3.75
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what is the y-intercept for y = 6x + 2
Answers
When the b-component of the equation is 2, the y-intercept for y = 6x + 2 is (0,2).
What is equation?An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the connection between two expressions on opposite sides of the sign. It generally consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
y = 6x + 2
y-intercept=(0,2)
The y-intercept for y = 6x + 2 is (0,2) when the b-component of equation is 2.
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solve linear equations and real-world problems that involve them (example: calculate the fuel efficiency of a car at different speeds)
Answers
The slope of _-1/20__ means the car uses 1 gallon of gas for every 20 miles driven.
The y-intercept of 20___ means there are originally___20 gallons of gas in the tank.
According to the question,
A linear equation is an algebraic equation in the form y=mx+b.
We know,
y = -1/20 x + 20
Linear equations are equations whose power of the variables is 1. The graph of a linear equation is a straight line.
We start with 20 gallons of gas and are decreasing the amount of gas by 1/20 gallon every mile drove.
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The complete question is:
Given this description of a real-life situation and its linear equation, interpret the y-intercept and the slope.
The amount of gasoline y (in gallons) left in your tank after you travel x miles is y=−1/20x+20.
The slope of ___
means the car uses 1 gallon of gas for every ___
miles driven.
The y-intercept of ___
means there is original___
gallons of gas in the tank.
Consider a set-up in which a transmit- ter is transmitting either a 0 or a 1 and the receiver indicates that it received either a 0 or a 1. Denote the events that i = 0, 1 was transmitted by Ti, and the events that i = 0, 1 was indicated as received by Ri. It is possible to have transmission errors. In fact, you are given the following data on accuracy and the frequency of transmitted signals: P[R0 | T0] = 0.99, P[R1 | T1] = 0.98, P[T0] = 0.75. Given that the receiver indicated 1, what is the probability that there was an error in the transmission? What is the overall probability that there was an error in transmission?
Answers
To find the probability as per the given question and the information provided, we can compute it as:
a) By using the Bayes formula, we get:
[tex]P[T0|R1] = \frac{P[R1|T0]P[T0]}{P[R1|T0]P[T0] + P[R1|T1]P[T1] }
\\
= \frac{(1 − 0.99) × 0.75}{(1 − 0.99) × 0.75 + 0.98 × 0.25} \\
= \frac{3}{101} ∼= 0.030.[/tex]
b) An error is bound to happen if T0 ∩ R1 or T1 ∩ R0 occur, that is
[tex]P[error] = P[T0 ∩ R1] + P[T1 ∩ R0] \\ = P[R1|T0] × P[T0] + P[R0|T1] × P[T1] \\ = (1 − P[R0|T0]) × P[T0]
+ (1 − P[R1|T1]) × (1 − P[T0]) \\ = 0.01 × 0.75 + 0.02 × 0.25
\\ =
1
80
∼= 0.013[/tex]
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. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the event's impossibility and 1 indicates certainty.
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PLEASE HELP ME......URGENT
Answers
See picture for details!
Given the triangle, find the following:
B≈ *should be in degrees*
b≈
c≈
Round all answers to 3 decimal places
Answers
Answer:
B = 80°
b = 11.343
c = 11.518
Step-by-step explanation:
Given side a=2 and angle A=10° in a right triangle with the right angle at C, you want to know the measures of B, b, and c.
Angle sumThe sum of angles in a triangle is 180°, so we have ...
10° +B +90° = 180°
B = 180° -100°
B = 80°
SOH CAH TOAThis mnemonic is intended to remind you ...
Sin = Opposite/Hypotenuse
sin(10°) = 2/c
c = 2/sin(10°) ≈ 11.343
and
Tan = Opposite/Adjacent
tan(10°) = 2/b
b = 2/tan(10°) ≈ 11.518
The calculations are shown in the attachment.
Add.
24 4/5 + 12 4/5
Answers
Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine them.
Exact Form:
188
5
Decimal Form:
37.6
Mixed Number Form:
37
3
5
hope this helped have a nice day! :)
Answer:
Step-by-step explanation:
(124+64) /5
= 188/5
Answer is = 37.5
Please help me with this question.
Answers
When revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is the volume occupied between the lines -
x = 4, y = x and x - axis.
Refer to the image attached. The reflection over the {x} axis will occupy more volume as compared to the reflection over the {y} axis. The figure generated in both the cases would be a cuboidal prism structure.
Therefore, when revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.
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Ariana is a songwriter who collects royalties on her songs
whenever they are played in a commercial or a movie. She
will earn $30 every time one of her songs is played in a
commercial and she will earn $110 every time one of her
songs is played in a movie. Ariana earned a total of $620
in royalties dn 10 commercials and movies. Write and
solve a system of equations to determine the number of
commercials and the number of movies on which her songs
were played.
number of commercials:
number of movies:
Answers
Answer:
number of commercials: 6
Number of movies: 4
Step-by-step explanation:
Let x = the number of commercials
Let y = the number of movies
30x + 110 y = 620
x + y = 10 This can be written y = 10 - x (substitute 10 - x for y)
30x + 110y = 620
30x + 110(10 - x) = 620 Distribute the 110
30x + 1100 - 110x = 620 Combine like terms
-80x + 1100 = 620 Subtract 1100 from both sides
-80x = -480 Divide both sides by -80
x = 6
There are 6 commercials.
Substitute 6 for x
x + y = 10
6 + y = 10 Subtract 6 from both sides
y = 4
There are 4 movies.
Check:
x + y = 10
6 + 4 = 10
10 = 10 checks
30x + 110y = 620
30(6) + 110(4) = 620
180 + 440 = 620
620 = 620 checks
A small beverage company has 844 bottles of water to ship. If there are 12 bottles per case, how many cases are needed, and how many bottles will be left over?
Answers
Answer:
70 cases will be needed, and with 70 cases, there will be 4 water bottles left over.
Step-by-step explanation:
844 / 12 = 70.333
0.333 = 4 bottles
HELLLLP MEEEE PLEASEE
Answers
Answer:
34 R 12
Step-by-step explanation:
I will add an explanation later, because I do not have time, I have to go somewhere.
It'll be added in at least 1 day AT MOST.
The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a boxplot and identify the 5-number summary.
1.0
1.5
2.5
3.0
4.0
4.0
4.5
4.5
4.5
4.5
4.5
5.0
5.0
5.5
5.5
5.5
6.0
6.0
6.5
6.5
Answers
The value of the 5 number summery are minimum 1 , Q1 is 4, median is 4.5, Q2 is 5.5 and Maximum is 6.5
What is Boxplot ?A box plot is a visual representation of the localization, dispersion, and skewness of a collection of numerical data through its quartiles.
The center "box" denotes the group's middle 50% of points. The inter-quartile range is the range of scores from the lower to higher quartile. The interquartile range encompasses the middle 50% of the scores. 75 percent of the scores are lower than the highest quartile.
When doing descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.
The data set (20 datas)
1, 1.5, 2.5, 3, 4, 4, 4.5, 4.5, 4.5, 4.5, 4.5, 5, 5, 5.5, 5.5, 5.5, 6, 6, 6.5, 6.5
The Minimum is 1
The maximum is 6.5
The value of Q1 of first 10 datas = (4 + 4 )/2 = 4
The median of the data set (20 datas) = (4.5+ 4.5)/2 = 4.5
The value of Q2 of second 10 datas = (5.5+ 5.5)/2 = 5.5
The value of the 5 number summery are minimum 1 , Q1 is 4, median is 4.5, Q2 is 5.5 and Maximum is 6.5
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If each time you get 5 how much times until you get to 1,500
Answers
Tiana needs to wrap 2 gifts with no overlap. The boxes are shaped as right rectangular prisms. The length of each box is 22.2 in, the width is 4.8 in, and the height is 14 in. How much wrapping paper does Tiana need to buy? Round to the nearest hundredth. Leave out units.
Answers
Answer:
971.92 square inches of wrapping paper.
Step-by-step explanation:
Please find the attachment for detail
Based on the completed Form 1040 and 2018 Taxable Income Tiers, what is the total tax
that the employee is responsible for paying?
Answer in complete sentences.
Answers
If we assumes that the taxpayer has $100,000 as his income on the completed Form 1040, the total tax that the employee is responsible for paying will be $17,836.
What are tax bracket or income tiers?A tax bracket is a range of incomes that are taxed at a specific rate. Tax brackets are part of a progressive tax system, which means that tax rates increase progressively as an individual's income increases. Low-income taxpayers pay relatively low tax rates, while higher-income taxpayers pay higher rates.
In 2022, for example, a single filer with taxable income of $100,000 will pay $17,836 in taxes, representing an average tax rate of 18%. However, your marginal tax rate or tax bracket is 24%. As a result, the total tax that the employee is responsible for is $17,836.
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Which of the below data sets has the lowest standard deviation? You do not need to calculate the exact standard deviations to answer this question. 0,1,3,3,3,5,6 • 0, 25, 50, 100, 125, 150, 1000 0, 1, 2, 3, 4, 5, 6 0,0,0, 100, 200, 200, 200
Answers
The data set 0, 1, 3, 3, 3, 5, 6 will have the standard deviation.
We are asked to select the sets with the lowest standard deviation. The given sets are
0, 1, 3, 3, 3, 5, 6
0, 25, 50, 100, 125, 150, 1000
0, 1, 2, 3, 4, 5, 6
0, 0, 0, 100, 200, 200, 200
The standard deviation is used to calculate the variability of the data set. It tells us how to spread the data points from the mean value. The standard deviation is the measure of dispersion that tells us about the spread of the data points from the mean value.
In all the options given only in the data given in 0, 1, 3, 3, 3, 5, 6 have all the values near to each other, this data set has less variation between each other. Hence, data set 0, 1, 3, 3, 3, 5, 6 will have the lowest standard deviation.
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