The transformations to the graph of the parent function y = x² to the function f(x) = -(x + 1)² are given as follows:
Reflection over the x-axis.Shift left of 1 unit.What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.The changes to the parent function y = x² to create f(x) = -(x + 1)² are given as follows:
Reflection over the x-axis. -> multiplication by -1.Shift left of 1 unit. -> x -> x + 1.More can be learned about translations at brainly.com/question/28174785
#SPJ1
Local radio station WMTH schedules1 minutes of news for every 20 minutes of music. Complete the ratios shown in the table at the right.
The ratio will be Illustrated this:
1 minute or news = 20 minutes of music
2 minutes if news = 40 minutes for music
3 minutes of news = 60 minutes of music
4 minutes of news = 80 minutes of music
The ratio is 1:20.
How to explain the ratioRatio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
The ratio will be Illustrated this:
1 minute or news = 20 minutes of music
2 minutes if news = 40 minutes for music
3 minutes of news = 60 minutes of music
4 minutes of news = 80 minutes of music
In this case, one has to just multiply by 20.
Learn more about ratio on;
brainly.com/question/2328454
#SPJ1
suppose where y is a binary random variable. suppose further that eu 0 and 0 < var[x]< oo (a) what is e yx]? what is pty 1x?
if Y=1+X+u, where X, Y, and u=v+X are random variables, v is independent of X; E(v)=0, Var(v)=1, E(X)=1, and Var(X)=2, then Var(Y|X) = Var ( 1 + X + u | X) = 0 + 4*2 + 1 = 8 + 1 = 9
if Y=1+X+u, where X, Y, and u=v+X are random variables, v is independent of X; E(v)=0, Var(v)=1, E(X)=1, and Var(X)=2, the variance of the following cases are calculated as:
Var(u|X=1) = Var( v + X | X = 1) = Var( v + 1 )
= Var(v) + Var(1)
= 1 + 0 = 1
Var(Y|X=1) = Var( 1 + X + u | X = 1 )
= Var (1 + X + v + X|X=1)
= Var(1 + 1 + v + 1)
= Var(3) + Var(v)
= 0 + 1 = 1
Var(u|X) = Var ( v + X | X)
= Var ( v + X)
= Var(v) + Var(X)
= 1 + 2 = 3
Var(Y|X) = Var ( 1 + X + u | X)
= Var ( 1 + X + v + X | X)
= Var ( 1 + 2X + v)
= Var(1) + Var(2X) + Var(v)
= 0 + 4*2 + 1 = 8 + 1 = 9
learn more about of variable here
https://brainly.com/question/14494614
#SPJ4
in the lottery game, a player picks six numbers from how many different choices does the player have if repetition is not allowed?
In a lottery game where a player picks six numbers and repetition is not allowed, the player has a certain number of choices for each number. The number of choices for each number depends on the range of numbers from which the player can pick.
Let's say the range of numbers from which the player can pick is 1 to 49. For the first number, the player has 49 choices, because they can pick any number from 1 to 49. However, once the player has picked their first number, they have 48 choices for their second number, because they cannot pick the same number again. For the third number, the player has 47 choices, for the fourth number, 46 choices, for the fifth number, 45 choices, and for the sixth number, 44 choices.
The total number of different combinations of six numbers that the player can pick is calculated by multiplying the number of choices for each number. This can be written as 49 x 48 x 47 x 46 x 45 x 44. The total number of combinations is 10,068,347,520.
In other words, if a player picks six numbers from a range of 1 to 49, without repetition, the player has 10,068,347,520 different combinations of numbers to pick from.
It's important to understand that repetition is not allowed in this type of lottery game, as it would greatly increase the number of combinations. Allowing repetition would mean that the player could pick the same number multiple times, which would significantly increase the number of combinations and make the game much less challenging.
In conclusion, in a lottery game where a player picks six numbers from a range of 1 to 49, without repetition, the player has 10,068,347,520 different combinations of numbers to choose from. The number of choices decreases with each number picked, as repetition is not allowed, making the game more challenging.
To know more about range: https://brainly.com/question/1632425
#SPJ4
Which of the following is true about the additive identity?
O The additive identity works with decimals, but not fractions.
OIf x is the additive identity, then x + y = x.
OIt is neither positive nor negative.
The additive identity of a number is the distance from 0 to that number on the number line.
n the first game, you are dealt 5 cards. you win if either (1) you have 3 or more face cards (a face card is a jack, a queen, or a king) or (2) you have all non-face cards with even numbers (ace is considered an odd number). how many winning hands are there in total?
There will be total of 722 winning hands are in total.
Let's consider the two conditions for winning separately:
3 or more face cards:
There are 12 face cards in a standard deck of 52 cards, so there are [tex]${12 \choose k}$[/tex] ways to choose k face cards out of 5, where k = 3, 4, or 5.
The total number of winning hands in this case is [tex]{12 \choose 3} + {12 \choose 4} + {12 \choose 5} = 220[/tex]
All non-face cards with even numbers:
There are 16 even-numbered non-face cards in a standard deck,
So there are [tex]${16 \choose k}$[/tex] ways to choose k of these cards, where k = 0, 2, 4.
The total number of winning hands in this case will be:
[tex]{16 \choose 0} + {16 \choose 2} + {16 \choose 4} \\= 1 + 45 + 456 \\= 502[/tex]
The total number of winning hands is the sum of the number of hands that satisfy each condition,
So there are a total of 220 + 502 = 722 winning hands.
For more questions on Permutation and Combination
https://brainly.com/question/1216161
#SPJ4
the diffrrence of twice a number and one
The word problem "the difference of twice a number and one" is equal to 2n - 1.
What is an algebraic expression?In Mathematics, an algebraic expression simply refers to a mathematical equation that can be used for showing the relationship which exist between two (2) or more variables, numerical quantities, as well as in conjunction with different mathematical operations.
In order to translate this word problem into algebraic expression, we would assign a variable to the unknown number and then translate the word problem into algebraic expression as follows:
Let the variable n represent the unknown number.
Translating the word problem into an algebraic expression, we have the following;
Algebraic expression = (2 × n) - 1
Algebraic expression = 2n - 1
Read more on algebraic expression here: brainly.com/question/4344214
#SPJ1
the hallmark of a quasi-experiment is group of answer choices absence of any specific intervention or treatment. high levels of control over treatment conditions. random assignment of participants to conditions. lack of random assignment of participants to conditions.
(A) The lack of any particular intervention or treatment is a distinguishing feature of a quasi-experiment.
What is the hallmark of a quasi-experiment?Experimental and quasi-experimental studies are characterized by testing an intervention's effects.
If a human subject is included in an intervention, the researcher will randomly assign them to either receive the independent variable, such as a modified diet or nutritional supplement or to the control group.
Putting into practice an intervention without using randomization.
"In that, an independent variable is manipulated, quasi-experimental research is comparable to experimental research.
Because there is either no control group, no random selection, no random assignment, or no active manipulation, it varies from experimental research."
Therefore, (A) the lack of any particular intervention or treatment is a distinguishing feature of a quasi-experiment.
Know more about the hallmark of a quasi-experiment here:
https://brainly.com/question/14136469
#SPJ4
Complete question:
What is the hallmark of a quasi-experiment?
A. the absence of any specific intervention or treatment.
B. high levels of control over treatment conditions.
C. random assignment of participants to conditions.
D. lack of random assignment of participants to conditions.
if a bloodstain has a length of 30 cm and a width of 1.5 cm what is the angle of impact?
If a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.
What is the angle of impact?In forensic science, the angle of impact is the angle at which a blood droplet strikes a surface. It has a range of 0 to 90 degrees and is, by definition, an acute (or right) angle.
Police can partially reconstruct a crime scene by connecting the "strings" that lead from the spatter to an origin area and knowing the angle of contact.
If a bloodstain has a tail or pattern, the angle of impact can be used to forecast how the subsequent bloodstain would look.
So, bloodstain pattern analysis examines the patterns of bloodstains found at crime scenes in an effort to piece together the sequence of events that led to the bloodshed.
Mathematically, we will have:
The angle of impact = sin⁻¹ (wide stain/length stain)
The angle of impact = sin⁻¹ (1.5/3.0)
The angle of impact = 30°
Therefore, if a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.
Know more about the angle of impact here:
https://brainly.com/question/12262372
#SPJ4
the time needed to complete a final examination in a particular college course is normally distributed with a mean of
The probability of a student completing the final examination in less than 65 minutes is 13.45%.
The time it takes to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes and a standard deviation of 12 minutes. This can be expressed mathematically as X~N(77, 12).
The probability of a student completing the final examination in less than 65 minutes can be calculated by using the Z-score formula:
Z = (x - μ) / σ
Where x = 65 minutes, μ = 77 minutes, and σ = 12 minutes.
Plugging these values into the formula, we get:
Z = (65 - 77) / 12 = -1.17
Using a Z-score table, we can find the probability of a student completing the final examination in less than 65 minutes, which is equal to 0.1345, or 13.45%. Therefore, the probability of a student completing the final examination in less than 65 minutes is 13.45%.
Learn more about probability here:
brainly.com/question/30034780
#SPJ4
i dont know how to do this
Answer:
Step-by-step explanation:
im pretty sure its 10 divided by 12 or smth
Answer:
Step-by-step explanation:
The graph of h(x) passes the horizontal line test.
Placing events in the order in which they occur is called
O spatial order
O chronological order
O deductive order
Answer: Chronological order
Step-by-step explanation:
In composition and speech, chronological order is a method of organization in which actions or events are presented as they occur or occurred in time and can also be called time or linear order. Narratives and process analysis essays commonly rely on chronological order.
HELP? I NEED HELPPP NOW!!
Answer:
170.25
Step-by-step explanation:
Two teams need to raise $100 each for their end-of-the-year field trips. Team A wants to sell popcorn at the Spring Fling Carnival, and Team B wants to sell cotton candy. It costs $15 to rent a popcorn machine and it costs $25 to rent a cotton candy maker. The cost of additional supplies for the popcorn is $0.05 per bag. The additional cost for the cotton candy is $0.10 per stick. Team A will sell the bags of popcorn for $0.50 each. Team B will sell the cotton candy for $0.75 per stick.
Create a system of equations to model the profit for each team.
The system of equations that models the profit for each team is given as follows:
A(x) = 0.45x - 15.B(x) = 0.65x - 25.How to graph the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change of the linear function.b is the intercept, representing the value of y when the graph crosses the y-axis.The slope and intercept for the functions in this problem are given as follows:
Slope: Revenue per bag/candy - Cost per bag/candy.Intercept: Cost per machine, as a negative.More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
the alkalinity level of water specimens collected from a river has a mean of 80 milligrams per liter and a standard deviation of 4.2 milligrams per liter. assume that the distribution of alkalinity levels is normal and find the probability that a water specimen collected from the river has an alkalinity level
less than 85 milligrams per liter.
To find the probability that a water specimen has an alkalinity level of fewer than 85 milligrams per liter, we can use the standard normal distribution and convert the value of 85 milligrams per liter to a standard score (z-score). The z-score can be calculated using the formula:
z = (x - mean) / standard deviation
Where x is the value of interest (85 milligrams per liter), mean is the mean of the distribution (80 milligrams per liter), and the standard deviation is the standard deviation of the distribution (4.2 milligrams per liter).
Plugging in the values, we get:
z = (85 - 80) / 4.2 = 1.19
Next, we can use a standard normal table or calculator to find the probability of getting a value less than the z-score of 1.19. This probability is approximately 0.8707, so there is about an 87.07% chance that a water specimen collected from the river has an alkalinity level of fewer than 85 milligrams per liter.
You can read more about probability at https://brainly.com/question/24756209
#SPJ4
what is the smallest integer that can possibly be the sum of an infinite geometric series whose first term is 9?
The smallest integer that can possibly be the sum of an infinite geometric series whose first term is 9 is not possible.
An infinite geometric series is a series that continues indefinitely, where each term is found by multiplying the previous term by a constant ratio.
To determine the convergence limit, we must first determine if the series converges. The series converges if the absolute value of the common ratio is less than 1. If the series converges, the sum can be found using the formula:
S = a / (1 - r)
Where S is the sum, a is the first term of the series (9 in this case), and r is the common ratio. For the sum to be an integer, the denominator (1 - r) must equal 1, which means r must equal 0.
This is not possible, as the absolute value of the common ratio must be less than 1 for the series to converge.
Therefore, the sum of the series cannot be an integer.
To know more about integer here.
https://brainly.com/question/1768255
#SPJ4
7th grade math Please help me i dont understand
Note that as labeled in the attached image:
1) Shapes D and F are similar
2) A and B are NOT similar because they have different ratios of side lengths
3) C and E are NOTE Similar. They are Different Shape.
What is the rationale for the above response?1) To determine that both shapes are similar, all we need to divide the side lengths of D by two. This gives us:
Breath - 6/2 = 3
Length - 14/ 7 = 7
Since the Breadth of F is 3ft and it's length 7ft, it means D and F are similar to the ratio of 2:1.
2) If the above logic is applied to A and B, we would see that the side lengths of both shapes have different ratios.
For both of them to be similar, since the breadths - 6/2 = 3 then the length of B ought to be 4ft since 12/4 = 3.
3) By mere observation and understanding of the definition of various shapes, we can tell that C and E are two different shapes.
Learn more about shapes:
https://brainly.com/question/28756579
#SPJ1
suppose we select every fifth invoice in a file. what type of sampling is this? cluster random systematic stratified
We select every fifth invoice in a file is systematic sampling.
'What is systemic sampling?'Systematic sampling is a probability sampling technique where researchers choose individuals from the population at predetermined intervals (or k).
This method will provide you with a representative sample that can be utilized to make inferences about your community of interest if the population order is random or random-looking (for example, alphabetical).
This type of sampling is most suitable when we want to conduct a sampling method similar to simple random sampling but the list of population is unknown to us. However, this can also be used when the list of the same is available to us.
Another important condition is the order or the population, i.e. ow it is spread must be random and not in some particular order or sample. Else the result obtained will lose its credibility.
Learn more about Sampling at:
https://brainly.com/question/11045407
#SPJ4
Find the length of the third side. If necessary, round to the nearest tenth.
The length of the leg in the triangle is 11.6 units
How to find the length of the leg in the triangleFrom the question, we have the following parameters that can be used in our computation:
The figure shows a right triangle with one leg marked 11. The hypotenuse is marked 16.The length of the other leg using Pythagorean Theorem is
Other Leg = √(Hypotenuse² - One Leg²)
So, we have
Orher Leg = √(16² - 11²)
Evaluate
Other leg = 11.6
Hence, the other leg is 11.6 units
Read more about triangle at
https://brainly.com/question/19387653
#SPJ1
7th term in expansion of (a + b)⁹.
The 7th term in the expansion of [tex](a+b)^{9}[/tex] is [tex]36a^{7} b^{2}[/tex]
What is Binomial expansion?
An expression raised to any finite power can be expanded using the binomial theorem. The binomial theorem is a proper expansion technique with applications in probability, probability theory, and algebra. A binomial expression is an algebraic expression with two terms that are not the same.
The rth term in the expansion of [tex](a+b)^{n}[/tex] is [tex]^{n} C_{r}a^{r} b^{n-r}[/tex].
So, the 7th term in the expansion of [tex](a+b)^{9}[/tex] is [tex]^{n} C_{r}a^{r} b^{n-r}[/tex].
We know that [tex]^{n} C_{r}=\frac{n!}{(n-r)!r!}[/tex].
So,
[tex]^{9} C_{7}=\frac{9!}{(9-7)!7!} \\^{9} C_{7}=\frac{9*8}{2}\\ ^{9} C_{7}=36[/tex]
Therefore the 7th term in the expansion of [tex](a+b)^{9}[/tex] is equal to [tex]36a^{7} b^{2}[/tex].
To learn more about binomial expansion, refer to the link below:
https://brainly.com/question/13602562
#SPJ1
OAB is a major sector of the circle below.
Work out the length of the major arc AB in
terms of T.
B
6 cm
cm
120°
Not drawn accurately
Answer:
14
Step-by-step explanation:
Please help I have a learning disailty and this is due today.
Read the two verbal descriptions (word problems) and write the expression described using the four operations of math.When typing your answer DO NOT use any spaces between the variables, operations or numbers.
Example problem: Using the variable n, write an expression that is the same as 10 less than a number. Answer: n-10
A. Write an expression to find the cost of b books at $12 each.
Answer _____________________
B. Using the variable h, write an expression to show the total cost you would have to pay a babysitter that charges $10 per hour plus $5 in gas to drive herself to your house. Answer _______________
Answer:
a) 12b
b) 10h+5
Step-by-step explanation:
a) 12b means $12 x "b" unknown amount of books
b) 10h+5 means $10 x unknown amount of hours babysitting plus $5 gas which is a set cost no matter how many hours babysitting
I don't know if you need to put the $ in your answer or not, based on the directions i would say not.
1. Solve the system by the elimination method.
3x−5y=4
−9x+3y=−24
A. (2, −2)
B. (3, 1)
C. (1, −1)
D. (8, 4)
2. Manny says he should multiply the first equation in the system of equations below by 3 and the second equation by 2, then add to eliminate x. Is there a more efficient way to solve this system? Explain your answer.
−2x+y=15
3x+4y=−12
A. No, there isn't a more efficient way to solve this system.
B. Yes, a more efficient way is to multiply the first equation by −4
add to eliminate y, then solve for x.
C. Yes, a more efficient way is to multiply the first equation by −4
add to eliminate x, then solve for y.
D. Yes, a more efficient way is to multiply the first equation by 4
add to eliminate y, then solve for x.
Answer:
x = 3 and y = 1
Step-by-step explanation:
A) most efficient way is to multiply the first equation by 3 to eliminate the 'x' terms and get 9x - 15y = 12
if you add this to -9x + 3y = -24 you will get -12y = -12
y = 1
substitute 1 for 'y' to get 'x': 3x - 5 = 4
3x = 9
x = 3
while on vacation, rebecca and her family visit mount rushmore in south dakota. they watch a movie in the visitor center for 13 of an hour. this accounts for 16 of the total time they spend at mount rushmore.which equation can you use to find the total amount of time t rebecca's family spends at mount rushmore?
The total amount of time Rebecca's family spends at Mount Rushmore is 51 minutes.
Let's call the total amount of time Rebecca's family spends at Mount Rushmore "t".
According to the information given, 13 minutes of that time is spent watching a movie in the visitor center, which is 16% of the total time spent at Mount Rushmore.
This can be expressed as:
13 minutes / t = 16%
To find the total amount of time t, we need to isolate t in the equation. To do this, we can cross-multiply and solve for t:
13 minutes * 100% = 16% * t
13 minutes * 100% / 16% = t
So, the total amount of time t that Rebecca's family spends at Mount Rushmore is:
t = (13 minutes * 100%) / 16% = 812.5 minutes / 16 = 51 minutes
For more questions on Linear Equation
https://brainly.com/question/25858757
#SPJ4
A line is drawn through the origin (0, 0) with a gradient of 2. Can you list 3 points that this line goes through?
explain with a diagram pls
Which of the following expressions is equivalent to
4.11
×
0.055
4.11×0.0554, point, 11, times, 0, point, 055?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
411
×
55
×
1
100
411×55×
100
1
411, times, 55, times, start fraction, 1, divided by, 100, end fraction
(Choice B)
B
411
×
55
×
1
1
,
000
411×55×
1,000
1
411, times, 55, times, start fraction, 1, divided by, 1, comma, 000, end fraction
(Choice C)
C
411
×
55
×
1
10
,
000
411×55×
10,000
1
411, times, 55, times, start fraction, 1, divided by, 10, comma, 000, end fraction
(Choice D)
D
411
×
55
×
1
100
,
000
411×55×
100,000
1
The equivalent expression in scientific notation is given as follows:
4.11 x 5.54/100.
What is scientific notation?A number in scientific notation is given as follows:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex], meaning that it can assume values from 1 to 10, with an open interval at 10 meaning that for 10 the number is written as 10 = 1 x 10¹, meaning that the base is 1.
The numbers in this problem are given as follows:
4.11 -> already in scientific notation.0.0554 = 5.54 x 10^(-2).The equivalent expression is obtained as follows:
4.11 x 5.54 x 10^(-2).
The negative exponent divides into the denominator, and 10² = 100, hence:
4.11 x 5.54 = 4.11 x 5.54/100.
More can be learned about scientific notation at https://brainly.com/question/5756316
#SPJ1
Please help I have a learning disailty and this is due today.PLEASE PLEASE I DONT KNOW THE ANSWER AND SOOOOOOOOOOOO NEED THIS I WILL DO ANYTHING YOU WANT MARK YOU ASK A QUESTION SO YOU GET THE POINTS PLEASE I JUST REALLY NEED HELP.
Start at hexagon A. After you solve the expression find the answer in blue on the edge on the hexagon. The answer will lead you to your next hexagon.
Continue along the maze path until you reach the hexagon with an S in the flower. This is where you will finish.
To answer the questions below, type the letter in each hexagon that you solved along the maze in the order they were answered.
You do not need to include the starting hexagon (of A) or the end hexagon (of S). These are already written in the order below.
Use only capital letters when typing in the hexagon letter
Starting hexagon A
Second hexagon solved ______________________
Third hexagon solved____________________________
Fourth hexagon solved________________________________
Fifth hexagon solved____________________________________-
Last hexagon S (flower)
A mathematical description of hexagon is given above.
What is a polygon?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
The bounded plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides.
Given is hexagon.
In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.
A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).
Therefore, a mathematical description of hexagon is given above.
To solve more questions on translations, visit the link below -
brainly.com/question/12463306
#SPJ1
a sample of employees of a large pharmaceutical company has been obtained. the length of time (in months) they have worked for the company was recorded for each employee. a stemplot of these data is shown below. in the stemplot 6|2 represents 62 months. what would be a better way to represent this data set?
A histogram would be a better way to represent this data set, as it provides a clear visual representation of the frequency of different values.
A better way to represent the data set would be to use a histogram. A histogram is a graphical representation of a data set that is used to show how frequently certain values occur in the data set. A histogram can be created by first grouping the data into equal intervals, or bins, and then plotting the frequency of each bin on the y-axis of the graph. This allows for easy comparison of the frequency of different values. For example, in the case of the pharmaceutical company’s employee data, one could create a histogram with 5 bins that represent 6-10 months, 11-15 months, 16-20 months, 21-25 months, and 26-30 months. Then, one can plot the number of employees in each bin on the y-axis of the graph. This would provide a clear visual representation of the data set and make it easier to identify any patterns or trends in the data.
A histogram would be a better way to represent this data set, as it provides a clear visual representation of the frequency of different values.
Learn more about histogram here:
https://brainly.com/question/14421716
#SPJ4
Use special right triangles 45-45-90 to solve for x and y. Round to the nearest tenth.
The value of x and y of the right triangle is x = y = 15.6
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ABC
Now , the measure of the hypotenuse of the triangle AC = 22
And , the triangle is a 45 - 45 - 90 triangle
So , the sides are in the ratio n : n : n/√2
And , if the measure of the two congruent sides of such a triangle is x each, then the three sides will be x, x and √2x
From the trigonometric relations ,
sin 45° = y/22
Multiply by 22 on both sides of the equation , we get
y = ( sin 45° ) 22
y = 22/√2
On simplifying the equation , we get
y = 15.6
And , the value of x = y = 15.6
Hence , the right triangle is solved
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ1
WILL MARK BRAINLIEST!!! pls help
Answer: The answer is 34 degrees.
Step-by-step explanation: Angle 1 and angle 5 are the same.
I need help with find the slope and y intercept pleas help
The slope of a line can be determined by taking a ratio of the change in y-axis to the change in x-axis.
The y-intercept of any graph of a linear equation is at the point where the x-value is equal to zero (x = 0).
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
What is y-intercept?In Mathematics, the y-intercept is also referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Generally speaking, the slope-intercept form is modeled by this equation:
y = mx + c
Where:
x and y represents the data points.m represents the slope of a line.c represents the y-intercept of a line.Read more on y-intercept here: brainly.com/question/6240745
#SPJ1