Answers
a) 10.7
b) ΔABE~ΔACD | Angle Angle Similarity
1) Analyzing that triangle, and considering they are similar we can write out the following to find x
a) If they are similar their corresponding sides are proportional, therefore we can write a pair of ratios.
[tex]\begin{gathered} \frac{x}{24}=\frac{8}{18} \\ \\ 18x=192 \\ \\ \frac{18x}{18}=\frac{192}{18} \\ \\ x\approx10.7 \end{gathered}[/tex]The smallest hypotenuse over the largest hypotenuse as well as there is a proportionality between those two corresponding legs 8 and 18.
b) In the last statement of that proof table, we can tell that the last line is well written as:
ΔABE~ΔACD | Angle Angle Similarity
The Angle Angle Similarity states that:
Note that in that table there are two instances in which there is a reference to two congruent angles.
Related Questions
The length of a rectangle is four times its width.
If the area of the rectangle is 144 cm^2 , find its perimeter.
Answers
Answer:
Let width of rectangle be x cm.
Width = x cm
Length = 4x cm
Area of rectangle = length x width
4x × x = 144
4x² = 144
x² = 144 ÷ 4 = 36
x = √36 = 6
Width = 6 cm
Length = 6 × 4 = 24cm
Perimeter = 6 + 24 + 6 + 24 = 60 cm
What is the following quotient?
S6+/11
√√5+√3
30+32+√55+√√33
8
30-3√2+√55-√33
2
17
8
52
2
Answers
Quotient is [tex]\frac{\sqrt{30}-3\sqrt{2}+\sqrt{55}-\sqrt{33} }{2}[/tex]
What is rationalizing?When you rationalize an equation, you remove any surpluses from the fractions' bottom (denominator). Typically, when you are requested to rationalize or simplify an expression, it also suggests that you should do so.
To make a fraction's denominator a rational number, we rationalize any radicals or surds present. To accomplish this, we often multiply the numerator and denominator by an appropriate radical, then simplify. Divide and multiply the supplied fraction by the same square root value to rationalize the denominator. The denominator will be a rational integer in this case.
Given Data
[tex]\frac{\sqrt{6}+\sqrt{11} }{\sqrt{5} +\sqrt{3} }[/tex]
Rationalizing,
[tex]\frac{\sqrt{6} +\sqrt{11} }{\sqrt{5}+\sqrt{3} }[/tex] × [tex]\frac{\sqrt{5} -\sqrt{3} }{\sqrt{5} -\sqrt{3} }[/tex]
[tex]\frac{\sqrt{6}+\sqrt{11}(\sqrt{5}-\sqrt{3} ) }{\sqrt{5}+\sqrt{3} (\sqrt{5}-\sqrt{3} }[/tex]
[tex]\frac{\sqrt{30}-\sqrt{18}+\sqrt{55} -\sqrt{33} }{5-3}[/tex]
Quotient is [tex]\frac{\sqrt{30}-3\sqrt{2} +\sqrt{55}-\sqrt{33} }{2}[/tex]
To learn more about rationalizing, visit:
https://brainly.com/question/24291394
#SPJ13
What is the function Rule for function G
Answers
What is 7 x 10 ^-4 in standard notation?
Answers
Answer: 0.007
Step-by-step explanation: 70 x 10^-4= 0.0001
70 x 0.0001
7 x 0.001
0.007
Hope this helps!
The standard notation of 7 x [tex]10^{-4}[/tex] is 0.0007.
The given expression is;
7 x [tex]10^{-4}[/tex]
To write 7 x [tex]10^{-4}[/tex] in standard notation,
When multiplying an integer by a power of ten, the decimal point is moved to the right or left by the number of zeroes in the exponent.
So, for7 x [tex]10^{-4}[/tex],
Move the decimal point 4 places to the left.
Starting with 7, Move the decimal point 1 place to the left to get 0.7.
Move it another 3 places to the left to get 0.0007.
Therefore,
7 x [tex]10^{-4}[/tex] in standard notation is 0.0007.
To write it into standard notation visit:
https://brainly.com/question/29301538
#SPJ6
This is a file of basic probability, as I start to study this subject I realize that I have forgotten all the basic knowledge, can someone please show me how to do questions (b) and (c)
Answers
The probability that a ball is not red is 3/5 and the probability that the ball is red or white is 2/3 .
Mathematical descriptions of the likelihood that an event will happen or that a proposition is true are dealt with in the discipline of mathematics known as probability.
The probability of an event is a number between 0 and 1, where 1 denotes a certainty and 0 denotes an impossibility of the event.Simply put, probability is the likelihood that something will occur. We may discuss the chances of various outcomes when we are unsure of how an event will turn out.Statistics is the study of events subject to probability.In the given question there are 6 red balls, 4 white balls, and 5 blue
balls.
Total number of balls = 6+4+5 = 15 balls (sample space)
Red balls = 6
Not red balls = 15 - 6 = 9
Probability that the ball is red = 9/15 = 3 /5
Red and white balls = 6 + 4 =10
Probability that the ball is red or white = 10 / 15 = 2 / 3
Hence the probability that a ball is red or white is 2 / 3.
To learn more about probability visit:
https://brainly.com/question/11234923
Disclaimer : The complete question is :
A ball is drawn at random from a box containing 6 red balls, 4 white balls, and 5 blue balls. Determine the probability that it is
(a) not red
(b) red or white
#SPJ1
pls help i dont get it
Answers
Create an In-Out table with your findings. Make a table with the number of bagels she has when she gets home as the In and the number she had to start with as the Out.
How does the solution to Marcella’s Bagels depend on the number of bagels she has when she gets home?Try several numbers for the number she has when she arrives home to explore this expansion, such as 3, 4, 5, or even 0. You should presume that, other from this number, everything in the problem is the same as it was in the original problem.
Create an In-Out table with your findings. Make a table with the number of bagels she has when she gets home as the In and the number she had to start with as the Out. Once you've added numerous entries to the table, search for a connection between the Out and the In before attempting to identify a rule that can explain this connection.
To learn more about expansion refer to:
https://brainly.com/question/17353636
#SPJ13
This is an assignment may someone help me but not give me the answers just explain the steps I need to take
Answers
See explanation below
Explanation:
From the question, we are told line TV is perpendicular to line US.
This means the point which they intersect has an angle of 90°.
We are also told line TV bisects STU.
For a line to bisect an angle, it means it divided the angle into two equal parts.
When line TV bisects STU, it divided it into angle STR and angle UTR
Hence, ∠STR = ∠UTR
Also line SU and line and line VT intersect to give vertical angles.
Angle R and the angle opposite it are vertical angles.
Vertical angles are equal.
The angle with 90° and the angle opposite it is also a vertical angle.
you can see from the illustration. The two angles opposite each other are equal to 90°.
Since angle on a straight line = 180°
angle R + 90° = 180°
angle R = 180-90
angle R = 90°
All the 4 angles that result from the intersection line VT and line SU are equal to 90°
If you divided a positive number by a negative number and then divided the result by another negative number, what would the sign of the final result be? Explain your reasoning.
Answers
Answer: Positive
Step-by-step explanation:
If a positive number is divided ( or multiplied ) by a negative number it is always a negative number. If you divide ( or multiplied) two negative numbers its always a positive so,
+/- = -
- / - = +
What is [tex]lim_{x-0} (f(f(x))[/tex] closest to?
a. DNE
b. 1
c. 3
d. 5
Answers
Answer:
c. 3
Step-by-step explanation:
You want to know the limit of the composite function f(f(x)) as x approaches zero.
LimitThe function f(x) can be evaluated at x=0. The graph shows the value to be ...
f(0) = 2
The function f(x) can also be evaluated at x=2. The graph shows the value to be ...
f(2) ≈ 3
The nearest value to f(f(0)) is 3.
__
Additional comment
For a continuous function, the limit at a point is simply the value at that point. F(x) is continuous in the neighborhoods of the points of interest, so we simply need to find the function value.
4) Jim and Edna are planting a rectangular garden with 6 rows of equal numbers of pepper
plants. Each row will be 60 feet long. They set the plants 3 feet apart and start planting at one
corner of the garden. How many plants will they need?
Answers
Answer:
120
Step-by-step explanation:
They need six rows with an equal amount of peppers on each row, luckily, everything we need to solve is problem is right in front of us.
First we divide the amounts below
How long the rows will be / How far apart the peppers will be spread.
As we can see that gives us 60 / 3, which should be 20.
Now that we’ve completed this portion we can move on.
Multiply your answer from the division, by how many rows there are.
Our answer from the division was 20, and as we can see there are six rows.
20 x 6 = 120.
Which should give you your answer!
what is the percent chance from 450 To 1188
Answers
Answer:
738
Step-by-step explanation:
1188 - 450 = 738
pls help i dont get it this is due today
Answers
Answer:
Part a: x + 17 = 52 Part b: He should guess the number 35.
Step-by-step explanation:
In the equation, x stands for the number he has to guess. He is given the clue, "17 more than the number is 52." Therefore x + 17 = 52. Another equation you could use is 52 - 17 = x. This equation would be used to solve the problem. 52 - 17 = 35
How much will the house be worth?
Answers
Given:
[tex]S=C(1+r)^t[/tex]Where:
• S is the inflated value t years from now
,• r is the rate
,• C is the present value.
Let's solve for S, when:
• r = 6% = 0.06
,• C = $73,000
,• t = 12
Input values into the equation and solve for S:
[tex]S=73000(1+0.06)^{12}[/tex]Solving further:
[tex]\begin{gathered} S=73000(1.06)^{12} \\ \\ S=73000(2.012196472) \\ \\ S=146890.34\approx146890 \end{gathered}[/tex]herefore, the house will be worth $146890
NSWER:
$146,890
simplify 5x -6y - x + 3y
Answers
Step-by-step explanation:
collect like terms
[tex]5x - x - 6y + 3y \\ 4x - 3y [/tex]
Which of the following expression gives a fine in dollars for a book that is n days overdue
Answers
The rate is given by
[tex]\text{ \$0.10 per day}[/tex]and since the one-time charge is $0.25, the expression is
[tex]0.25+0.10n[/tex]where n denotes the number of days. Then, the answer is the second option
Find 1 , 305 × 81 . Then estimate to check your answer. A. 1 , 305 × 81 = 85 , 705 Check : 1 , 000 × 8 = 80 , 000 B. 1 , 305 × 81 = 105 , 705 . Check : 1 , 400 × 90 = 12 , 600 C. 1 , 305 × 81 = 105 , 705 Check : 1 , 200 × 80 = 96 , 000 D. 1 , 305 × 81 = 105 , 705 Check : 1 , 300 × 80 = 104 , 000
Answers
The multiplication of the value of 1305 by 81 will give a value of 105705.
How to illustrate the information?It should be noted that the information given simply means the multiplication of the numbers that are given. This is quite easy and straightforward.
In this case, it should be noted that 1305 × 81 will give a value thus:
= 1305 × 81
= 105705
The value of 105705.
Learn more about numbers on:
brainly.com/question/11418015
#SPJ1
Marie is choosing a bag of apples to make into a pie. She thinks the pie will be tastier if it has more apples. The bag of green apples weighs 4.75, point, 75 pounds. The bag of red apples weighs 4.54, point, 5 pounds.
Which bag of apples should she buy?
red apples or green?
(from khan academy)
Answers
Marie should buy the bag with green apples as it has more weight hence it will have more apples eventually making her pie tastier
Comparison: When we compare, we look for similarities among the characteristics of other items or objects. Mathematicians use the concept of comparing and ranking numbers to identify the smaller and larger numbers and to determine whether they should be arranged in ascending or descending order.
Weight of bag with green apples = 4.75 pounds
Weight of bag with red apples = 4.54 pounds
Since the bag with green apples weighs heavier and contains more apples overall, Marie should purchase it because it will make her pie taste better.
Learn more about comparison:
https://brainly.com/question/1452360
#SPJ9
Tickets to a football match cost €8, €15 or €20 each. The number of €15 tickets sold was
double the number of €8 tickets sold. 6000 more €20 tickets were sold than €15 tickets.
If the gate receipts totalled €783 000, how many of each type of ticket were sold?
Answers
There are three different types of tickets sold, according on the query ($8, $15, and $20).
8500 $8 tickets
17000 at $15 each
23000 $20 tickets
A linear equation example is what?Ax +By = C is the typical form for two-variable linear equations. For instance, the equation 2x+3y=5 is a standard form linear equation .Finding both intercepts is rather easy when an equation is supplied in this style (x and y).
$8 tickets for x.
$15 tickets are y.
$20 tickets = z
8x + 15y + 20z = 783000 when y = 2x z = y + 6000.
conventional form for the system of linear equations
8x + 15y + 20z = 783000 2x - y = 0 y - z = -6000
x = 8500 $8 tickets
Y = 17000 tickets at $15 each
z = 23000 at $20 each.
To know more about linear equation visit:-
https://brainly.com/question/11897796
#SPJ13
A number is divided by 3, and then 4 is added to the quotient. The result is 8. Find the number
Answers
Answer: 4/3 or 1.33
Step-by-step explanation:
4 from 8. That gives you 4. Then you multiply 4 by 3. That gives you 12. 12 is the answer.
Help.
A. 6.5
B. 18
C. 36
D. 6
Answers
Answer: The answer is D: 6
The graph of a function is shown below. Use the graph of the function to find its average rate of change from x=-4 to x=2
Answers
Based on the interval, the average rate of change of the function is 4.0
How to estimate the average rate of change of the function f?The graph that completes the question is added as an attachment
From the graph, we can see that the equation of the graph is a quadratic equation
Also, from the question:
We have the interval to be:
The interval is given as
x = -4 to x = 2
This can be represented as
(a, b) = (-4, 2)
From the attached graph, we have
f(-4) = 22
f(2) = -2
The estimate of the average rate of change f is calculated as(to one decimal place)
Rate = [f(b) - f(a)]/[b - a]
Substitute the known values in the above equation
This gives
Rate = [f(2) - f(-4)]/[2 + 4]
Substitute the known values in the above equation
So, we have
Rate = [-2 - 22]/[2 + 4]
Evaluate
Rate = -4.0
Hence, the estimate (to one decimal place) of the average rate of change of the graph is 4.0
Read more about average rate of change at
brainly.com/question/8728504
#SPJ1
In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neither (events cannot be both disjoint and independent). which is the correct answera) You and a randomly selected student from your class both earn A's in this course.IndependentMutually ExclusiveNeitherb) You and your class partner both earn A's in this course.NeitherMutually ExclusiveIndependentc) If two events can occur at the same time, they must be independent.TrueFalse
Answers
(a) You and a randomly selected student from your class both earn A's in this course.
Answer: Here selection of one student is independent of the other.
Therefore it is independent.
(b) You and your class partner both earn A's in this course.
Answer: Here enough data is not available to comment whether the given event is mutually exclusive or independent.
Therefore it is neither.
(c) If two events can occur at the same time, they must be independent.
Answer: If both the events occur at the same time then it is not necessary they are independent.
Therefore it is False.
y=x+6
how do i graph this?
Answers
Answer:
y=mx+b, where x and y are variables, m is the slope, and b is the y-int
Since there is no m value, it is 1/1 or simply 1. Therefore you rise 1 point for every 1 you move right.
Your graph needs to intercept the y-axis at point (0,6).
The easiest way to graph this equation is to plot a point at (0,6) and then start your slope of 1/1.
I have attached an image of the graph.
Hope that helps.
Suppose the current cost of gasoline is $3.10 per gallon. Find the current price index number, using the 1975 price of 56.7 cents as the reference value.
The current price index is _____
(Round to one decimal place as needed.)
Answers
The current price index is mathematically given as,$538.194
What is the current price index?By increasing the ratio of the current value to the reference value by 100, one can determine the index value.
Given that the current cost of gasoline is $3.10 per gallon. we need to find the current price index number, using the 1975 price of 56.7 cents as the reference value.
In regard to this issue, we have that:
Current value = $3.10
Reference value: $0.576
Typically, the mathematical formula for the Index price is,
I = (3.10/0.576) x 100
I= $538.194
The current price index number is 538.194
Read more about the current price index at brainly.com/question/18688293
#SPJ1
I am very confused on how to get i, how do you do this problem?
Answers
given polynomial is,
[tex](x-2)(x^2-12x+40)=0_{}[/tex]let us find thefactors of the polynomial,
[tex]\begin{gathered} x-2=0 \\ x=2 \\ \\ \end{gathered}[/tex]for the polynomial,
[tex]x^2-12x+40=0[/tex]use the formula to find the factors,
[tex]\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]where,
[tex]\begin{gathered} a=1 \\ b=-12 \\ c=40 \end{gathered}[/tex]thus,
[tex]\begin{gathered} =\frac{-\mleft(-12\mright)\pm\sqrt[]{(-12)^2-4\times1\times40}}{2\times1} \\ =\frac{12\pm\sqrt[]{144-160}}{2} \\ =\frac{12\pm\sqrt[]{-16}}{2} \\ =\frac{12\pm\sqrt[]{2\times8}}{2} \\ =\frac{12\pm4i}{2} \\ =\frac{2(6\pm2i)}{2} \\ =6\pm2i \end{gathered}[/tex]thus,
[tex]\begin{gathered} x=6+2i \\ x=6-2i \end{gathered}[/tex]the factors are,
[tex]\begin{gathered} x=2 \\ x=6+2i \\ x=6-2i \end{gathered}[/tex]For the right triangle below, find the measure of the angle. Please show your answer to one decimal place.
6
13
Answers
The measure of the angle is 1.0 when rounded to one decimal places.
What is right triangle ?If one of the triangle's angles is 90 degrees, the triangle is said to have right angles. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees. Using the Pythagorean rule, it is simple to understand how the different sides of this triangle relate to one another. The greatest side of a right angle is known as the hypotenuse, and it is opposite the right angle. In addition, the right triangles are categorized as isosceles right triangles and scalene right triangles based on the other angle values. Pythagorean triples are another name for the right triangle's side lengths, which include 3, 4, and 5.
Given that : right triangle, we're provided the hypotenuse and the leg next to. We can use the cosine ratio to determine :
Cosθ =[tex]\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information
Cosθ =[tex]\frac{4}{7}[/tex]
Use the inverse cosine ratio
θ = [tex]cos^{-1} \frac{4}{7}[/tex]
Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)
θ =0.9626
Therefore, θ = 1.0 when rounded to one decimal places.
To learn more about right triangle visit :
brainly.com/question/3770177
#SPJ9
Question: 7 divided by 4 5/11
Answers
The answer to your question is =
1.57142857
A random sample of individuals at an airport were asked, "Is your flight on time or delayed?" Below are the results of the survey in a joint relative frequency table.
On Time Delayed Total
Domestic 94 418
International 73
Total 145
Part A: Draw and complete the frequency table. (3 points)
Part B: What is the smallest joint frequency, and what does it represent in the context? (3 points)
Part C: Does the data show an association between the flight being on time and flying domestic? If so, is it positive or negative? Justify your answer mathematically. (4 points)
Answers
For the frequency table for a random sample answer of the following are given below:
A. Complete frequency table:
On Time Delayed Total
Domestic 324 94 418
International 73 51 124
Total 397 145 542
B. Smallest joint frequency is 51. It represent international flight has lowest number of delays.
C. Domestic flight has highest number of on time flight. It is positive.
As given,
From the random sample of the survey of joint relative frequency table.
On Time Delayed Total
Domestic ? 94 418
International 73 ? ?
Total ? 145 ?
A. Domestic on time = 418 -94
=324
International delayed =145 -94
=51
On time total =324 + 73
=397
International total =73+ 51
=124
Total = 418 + 124
=542
=397 +145
B. Smallest joint frequency is 51. It represent international flight has lowest number of delays.
C. Domestic flight has highest number of on time flight. It is positive as on time flights are more than the delayed.
Therefore, For the frequency table for a random sample answer of the following are given below:
A. Complete frequency table:
On Time Delayed Total
Domestic 324 94 418
International 73 51 124
Total 397 145 542
B. Smallest joint frequency is 51. It represent international flight has lowest number of delays.
C. Domestic flight has highest number of on time flight. It is positive.
The complete question is:
A random sample of individuals at an airport were asked, "Is your flight on time or delayed?" Below are the results of the survey in a joint relative frequency table.
On Time Delayed Total
Domestic ? 94 418
International 73 ? ?
Total ? 145 ?
Part A: Draw and complete the frequency table. (3 points)
Part B: What is the smallest joint frequency, and what does it represent in the context? (3 points)
Part C: Does the data show an association between the flight being on time and flying domestic? If so, is it positive or negative? Justify your answer mathematically. (4 points)
Learn more about frequency here
brainly.com/question/5102661
#SPJ1
Answer:
Step-by-step explanation:
Be sure to contact your instructor if you have questions. :)
Finding the coordinate that yields a given slope
The points (6, 4) and (r, -11) lie on a line with slope -5. Find the missing coordinate r.
Answers
Answer:
Step-by-step explanation:
If we wanted to analyze the variables GNP (Gross National Product) and Region at the same time, what would be appropriate to use?
Answers
If we wanted to analyze the variables GNP (Gross National Product) and Region at the same time, bargraph, pie chart, one way table would be appropriate to use.
What exactly do you mean by Gross National products?Gross national product (GNP), calculated without taking into account the depreciation or consumption of capital utilized in the manufacturing process, is the total market value of the final goods and services generated by a country's economy during a given time period (often a year).
What distinguishes the GDP from the GNP?The value of the final domestic goods and services generated inside a country's boundaries is known as the gross domestic product (GDP).
The value of all the finished goods and services that are owned by a nation's citizens, regardless of whether those kinds of goods were made in that nation, is what is known as its gross national product (GNP).
To know more about GNP, visit:
https://brainly.com/question/11412988
#SPJ9