Answer:
4, then 14, then 19
Step-by-step explanation:
You need to switch the boxes underneath around, so like d-6+19 on goes in the bottom box, d-6=14 goes in the middle box, and d-6=4 goes in the top one.
A boy rolls down a hill on a skateboard. At time = 4 seconds, that boy has rolled 6 meters from the top of the hill. At time = 7 seconds, the boy has rolled to a distance of 30 meters. What is his average speed?
Answer:
His average speed is 4.75 m/s
Step-by-step explanation:
Here, we are interested in calculating the average speed of the boy.
At time t = 4 seconds, total distance traveled = 6 meters
The average speed here is distance/time = 6/4 = 1.5 m/s
Now at time 30 7 seconds , he has rolled 30 meters
What this actually means is that for the next 3 seconds after the initial 4 seconds, he rolled a total distance of 30-6 = 24 meters. Hence, he rolled 24 meters in the next three seconds
So mathematically, his average speed for the second part of the rolling is 24/3 = 8 meters per second
Conclusively therefore , his average speed will be (1.5 + 8)/2 = 9.5/2 = 4.75 meters per second
The radius of a circle is 222 units.
What is the diameter of the circle?
Answer:
111
Step-by-step explanation:
just divide the raduis by 2 to get 111
Answer:
444
Step-by-step explanation:
The radius of a circle is the center point to the end of the circle in any direction.
the diameter of a circle is the full stretch of the circle.
In order to find out the diameter from the radius all you have to do is multiply the radius by 2.
222*2=444.
If you need me to go in depth please let me know
Alex had $3.63 more than Rick. Together they had $27.93. How much money did both Alex and Rick have?
Alex has $15.78 and Rick has $12.15 money.
According to the question,
We have the following information:
Alex had $3.63 more than Rick. Together they had $27.93.
Let's take the money Rick has to be $x.
Now, we have the following expression for the money Alex has:
3.63+x
Now, we have:
x+3.63+x = 27.93
2x+3.63 = 27.93
Subtracting 3.63 from both the sides:
2x = 27.93-3.63
2x = 24.3
Dividing by 2 on both the sides:
x = 24.3/2
x = $12.15
So, Rick has $12.15.
Now, the money Alex has:
3.63+12.15
$15.78
Hence, Alex has $15.78 and Rick has $12.15 money.
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Here are the ages (in years) of 12 professors at a college.
43, 29, 64, 41, 31, 35, 64, 57, 54, 38, 27, 72
What is the percentage of these professors who are younger than 33?
Answer:
25%
Step-by-step explanation:
12 professors
3 professors younger than 33
3/12 x 100 = 25%
20 points:
happy valentines
Answer:
A. 4(x + 8) = 56
Step-by-step explanation:
the correct equation would be 4(x + 8) = 56
because we need to find the number of hours on Saturday, since there Sheldon gets paid $4 per hour, we must subtract the amount Sheldon made on Sunday by the total he made and then divide that by 4 to get the number of hours on Saturday
$4 = number of dollars per hour
$56 = total on Saturday and Sunday
8 hours = Number of hours babysat on Sunday
x = hours spent on Saturday
4(x + 8) = 56
Step 1: Simplify both sides of the equation.
4(x + 8) = 56
(4)(x) + (4)(8) = 56(Distribute)
4x + 32 = 56
Step 2: Subtract 32 from both sides.
4x + 32 − 32 = 56 − 32
4x = 24
Step 3: Divide both sides by 4.
4x/4 = 24/4
x = 6
To check if this is correct, we add the amount Sheldon earned on Saturday to the amount he earned on Sunday, which is
6(4) + 8(4) = 56
24 + 32 = 56
56 = 56
or you could substitute the answer in the problem
4(6 + 8) = 56
Distribute
24 + 32 = 56
Simplify
56 = 56
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Answer
Step-by-step explanation:
The answer is d because if you at 17 to 197 you'll get 203
tomorrow paul is playing in an important soccer game. he reasons that there are three possible outcomes (they could win, lose, or tie) so the probability of winning must be 1/3. is this reasoning correct? why or why not?
Paul's reasoning is not correct. The fact that there are three possible outcomes (win, lose, or tie) does not necessarily mean that each outcome is equally likely.
What is probability?Probability is the measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event will not occur and 1 means the event is certain to occur. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is used in various fields including mathematics, statistics, physics, engineering, finance, and more to help understand and predict the occurrence of events.
Here,
The probability of each outcome depends on various factors, such as the strength of the opposing team, the weather conditions, the health and fitness of the players, and other relevant factors. Therefore, it is not possible to determine the probability of winning based solely on the number of possible outcomes.
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HELPPPP,Which of the following choices is the length of AB if A (-3, -2) and B (5, -4)? AB = 2 AB = 68 AB = 4 None of these choices are correct
===============================================
Explanation:
Use the distance formula to get this answer. The idea is you subtract the x coordinates together, and do the same for the y coordinates as well. Square each result and add up those squares. The last step of the formula is to apply the square root to get the distance from A to B, which is also the length of segment AB.
\(d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(-3-5)^2+(-2-(-4))^2}\\\\d = \sqrt{(-3-5)^2+(-2+4)^2}\\\\d = \sqrt{(-8)^2+(2)^2}\\\\d = \sqrt{64+4}\\\\d = \sqrt{68}\\\\\)
Therefore, \(AB = \sqrt{68}\)
fill the blank! in addition to premises, warrants, and conclusions, two additional elements of rhetorical argument are .____
In addition to premises, warrants, and conclusions, two additional elements of rhetorical argument are evidence and counterarguments.
The two additional elements of rhetorical argument are evidence and counterarguments.
Evidence refers to the supporting material or proof that is presented to back up the premises and warrants in an argument. This can include statistics, facts, expert testimony, or personal experiences.
Counterarguments are the opposing viewpoints or objections that may arise in response to the argument. By addressing and refuting potential counterarguments, the speaker or writer strengthens their own argument and shows that they have considered multiple perspectives on the issue at hand.
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what makes 3+7+2= +2true?
The equation 3+7+2=+2 is actually not true, but false.
Is the 3+7+2= +2true?The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.
In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.
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A change was proposed in the mathematics curriculum at a college. 70 mathematics majors were asked whether they approved of the proposed change. The results of the survey follow. Approved No opinion Did not approve
Female 21 6 12
Male 14 10 7
Suppose that a mathematics major is selected by chance. Find the probability that (a) The student is female, given no opinion. (b) The student approves of the proposed change. (c) The student is male, given the student does not approve of the proposed change. (d) The student is male and approves of the proposed change.
a)The probability of female and no opinion is: 0.375
b) The probability of student approves of the proposed change is: 0.5
c) The probability of student is male, given the student does not approve of the proposed change is: 0.398
d) The probability of student is male and approves of the proposed change is : 0.2
What is probability and its formula?The formula for probability states that the possibility of an event happening, or P(E), equals the ratio of the number of favorable outcomes to the number of total outcomes. Mathematically, it looks like this:
P(E) = favorable outcomes/total outcomes.
They are 70 mathematics majors were asked whether they approved of the proposed change.
The table are as follows:
Approved(A) No opinion(No) Did not approve(DA)
Female 21 6 12
Male 14 10 7
a) To find the probability that the student is female, given no opinion:
So, The probability of Female and no opinion :
We have to apply the probability formula:
P(F | No) = P(F∩No)/ P(No) = \(\frac{6}{70}/\frac{16}{70}\) = \(\frac{6}{16}\) = 0.375
b) The probability of student approves of the proposed change:
P(A) = \(\frac{21+14}{70}\)= 35/70 = 1/2 = 0.5
c) The probability of student is male, given the student does not approve of the proposed change:
P(M|DA) = P(M∩DA)/P(DA) = \(\frac{\frac{7}{70} }{\frac{19}{70} }\) = 7/19 = 0.398
d) The probability of student is male and approves of the proposed change.
P(M∩A) = 14/70 = 0.2
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find the value of x. the answer choices are 5, 4, 6, or 129
the sum of the interior angles of a parallelogram is 360°,
we have the next angles equals
m
m
With this in mind, we can have the next equation
51+51+28x-11+28x-11=360
we sum similar terms
80+56x=360
we isolate the x
56x=360-80
56x=280
x=280/56
x=5
a) A graph is drawn below.
Explain how you know that y is
not directly proportional to x.
We have to see the graph first
Step-by-step explanation:
Find the surface area.
Type number only. No units. Do not round till the end. Round answer to the nearest tenth.
S.A. =
Answer:
Surface area = 1570.8 in.^2
Step-by-step explanation:
The formula for surface area of cylinder is given by:
SA = 2πrh + 2πr^2, where
SA is the surface area of the cylinder in square units,r is the radius of the circle,and h is the height of the cylinder.Since the radius is 10 in. and the height is 15. in, we can find the surface area of the cylinder in square in. by plugging in 10 for r and 15 for h in the surface area formula and simplifying then rounding to the nearest tenth:
SA = 2π(10)(15) + 2π(10)^2
SA = 2π(150) + 2π(100)
SA = 300π + 200π
SA = 500π
SA = 1570.796327
SA = 1570.8 in.^2
Thus, the surface area of the cylinder is about 1570.8 in.^2
Geometry proofs question is in the picture
Answer:
Step-by-step explanation:
Statements Reasons
∠BAC ≅ ∠ DCA Given
AM ≅ CM Given
∠BCA ≅ ∠DAC Isosceles triangle property
AC ≅ CA Reflexive property
ΔACB ≅ ΔCAD Angle Side Angle Congruent (ASA)
Hence, proved.
PLEASE ANSWER ASAP THANK YOU
4/5
This is because there are 5 rectangles in total, but only 4 out of the 5 rectangles are colored.
Answer:
Step-by-step explanation:
The boxes filled in green represent the numerator: 4
The total number of boxes represent the denominator: 5
Therefore the picture represents 4 out of 5 boxes full, or 4/5.
Could anyone please help me with this for Calculus AB? I'm not entirely sure if the answer I put down is correct or not; I got some funky graphs for it though.
Hi there! :)
C. has both jump and infinite discontinuity.
Evaluate both piecewise functions at x = 1;
1 / (x + 1) = 1 / ((1) + 1) = 1/2
2x - 1 = 2(1) - 1 = 1
As the piecewise functions contain different y-values when evaluated at
x = 1, there is a jump discontinuity at x = 1.
However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.
Therefore, the correct choice is:
C. has both jump and infinite discontinuity.
Determine whether or not the following variable is a rank and give the units. Student ratings of a course on a 5-point Likert scale
B. The ratings are not ranks and have no units
C. The ratings are not ranks and the units are Likerts
D. The ratings are ranks and have no units
C. The ratings are not ranks and the units are Likerts.
In the context of student ratings of a course on a 5-point Likert scale, let's analyze the options further:
A. The ratings are ranks and have no units: In a ranking system, the responses would be ordered or ranked in a specific sequence. For example, if the students were asked to rank the course from best to worst, their responses would be assigned specific positions or ranks. However, in a Likert scale, the responses are not based on relative ranking but rather on levels of agreement or disagreement. Therefore, the ratings in this case are not ranks.
B. The ratings are not ranks and have no units: This option is accurate. The responses on a Likert scale do not represent ranks because they do not indicate a specific ordering or hierarchy. Each response on the 5-point Likert scale represents a different level of agreement or disagreement, rather than a rank.
C. The ratings are not ranks and the units are Likerts: This option is the most appropriate choice. Likert scales use response categories (e.g., strongly agree, agree, neutral, disagree, strongly disagree) instead of ranks. The units associated with this variable would be "Likerts" to indicate the scale used.
D. The ratings are ranks and have no units: This option is not applicable since the ratings on a 5-point Likert scale are not considered ranks.
Therefore, option C is the correct answer. The ratings on a 5-point Likert scale are not ranks, and the units associated with this variable are "Likerts" to represent the scale used.
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4/9
A bag contains 4 apples, 6 pears and 8
oranges. What is the probability of
picking an orange? (in simplest form)
Using the question above, what is the
COMPLEMENT of picking an orange from
the bag?
Answer:
The probability of picking an orange is 8/18, or 4/9.
8/18 of the fruits are oranges, so 10/18 of the fruits are not oranges. The complement of picking an orange is 10/18 or 5/9.
Step-by-step explanation:
There are 4 apples, 6 pears, and 8 oranges. That adds up to 18 fruits. 8 of those are oranges, so the probability of picking an orange is 8/18, or 4/9 simplified.
The complement means all outcomes that are NOT the favorable outcome, or in this case, all outcomes that are not oranges. There are 8 oranges out of 18, so there are 10 fruits that are not oranges. This makes the complement 10/18, or 5/9 simplified.
Answ2/6 or 33% chance of getting an apple, 3/24 or 13% of getting a pear and 13/24 or 54% chance of getting an orange hope that helps.er:
Step-by-step explanation:
the weight of items produced by a machine is normally distributed with a mean of 9 ounces and a standard deviation of 2 ounces. what percentage of items will weigh between 7.2 and 10.1 ounces?
The percentage of items will weight between 7.2 and 10.1 ounces is 89.29%
The mean of the weight in ounces = 9
The standard deviation of weights in ounces = 2
The percentage of items which will weigh between 7.2 and 10.1 can be calculated by normal distribution method,
P(7.2 < x < 10.1)
Let us find the standard form for these sample values using the formula,
Z =(X - μ) / σ
where Z is the standard form
X is the random sample
μ is the mean
σ is the standard deviation.
For x = 7.2 ,
Z = (7.2 - 9) / 2
= -1.8 / 2
= -0.9
For x = 10.1
Z = (10.1 - 9) / 2
= 1.1 / 2
= 0.55
Therefore P(7.2 < x < 10.1) = P(-0.9 < z < 0.55)
= P(-0.9 < z < 0) + P(0 < z < 0.55)
By using z-table , we can get the values of the z,
P(-0.9 < z < 0.55) = 0.18406 + 0.7088
= 0.89286
Therefore , the percentage of items will weight between 7.2 and 10.1
= 0.89286 x 100
= 89.29 %
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2. Form a word from the three letters that are found in all the words below
PUREST STUPOR TROUPE UPSET SPROUT SPROUT CATAPULT
Answer:
put
Step-by-step explanation:
The three letters "u", "t", and "p" are found in all of the words. The simplest word we can form is the verb "put"
Put is formed by all these words as P, U, and T are the only letters that are in all the words
Consider the following. (If an answer does not exist, enter DNE.) f(x) = 2x3 + 3x2 – 120x (a) Find the interval(s) on which f is increasing. (Enter your answe ( 1-00, 4) U (5, 00) x (b) Find the int
(a) The interval on which f is increasing is (1, 4) U (5, ∞).
To find the interval(s) on which f is increasing, we need to examine the sign of the derivative of f. Taking the derivative of f(x) gives
\(f'(x) = 6x^2 + 6x - 120. We set f'(x) > 0\)
to find where the derivative is positive. Solving the inequality
\(6x^2 + 6x - 120 > 0, we find x ∈ (1, 4) U (5, ∞),\)
which means that f is increasing on this interval.
(b) The interval(s) on which f is concave up is (-∞, 2).
To find the interval(s) on which f is concave up, we need to examine the sign of the second derivative of f. Taking the derivative of f'(x), which is \(f''(x) = 12x + 6, we set f''(x) > 0\)
to find where the second derivative is positive. Solving the inequality 12x + 6 > 0, we find x ∈ (-∞, 2), which means that f is concave up on this interval.
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Consider the function f(x) = 2x^3 + 3x^2 - 120x.
(a) Find the interval(s) on which f is increasing. Enter your answer in interval notation.
(b) Find the interval(s) on which f is concave up.
the permulation [[1,2,3,4,5,6],[6,5,4,3,2,1]]can be written as a product of disjoint cycles as
The permutation [[1,2,3,4,5,6],[6,5,4,3,2,1]] can be written as a product of disjoint cycles as (1,6)(2,5)(3,4).
A permutation can be represented as a product of disjoint cycles. A cycle is a sequence of numbers that are permuted in a circular fashion. For example, the cycle (1,2,3) means that 1 is permuted to 2, 2 is permuted to 3, and 3 is permuted to 1.
To write the given permutation as a product of disjoint cycles, we can start with the first number in the first row, 1, and see where it is permuted to in the second row. In this case, 1 is permuted to 6. Then we look at where 6 is permuted to, which is 1, completing the cycle (1,6).
Next, we move on to the next number in the first row that has not been included in a cycle, which is 2. We see that 2 is permuted to 5, and 5 is permuted to 2, completing the cycle (2,5).
Finally, we move on to the next number in the first row that has not been included in a cycle, which is 3. We see that 3 is permuted to 4, and 4 is permuted to 3, completing the cycle (3,4).
Therefore, the given permutation can be written as a product of disjoint cycles as (1,6)(2,5)(3,4).
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In seven years, huang will be two times as old as he was last year. how old is he now? 5 years old 8 years old 9 years old 14 years old
The present age of huang is \(9\) years. or now he is \(9\) years old.
Age is the length of time that a person has lived.
Present age is the real age, it tells how old the person is now.
In seven years mean after seven years.
Last year is the previous year of present age.
In seven years, huang will be two times as old as he was last year.
Let the present age of huang be \(x\)
After seven year huang age will be \(x+7------1\)
It is given that, two times as old as he was last year \(2(x-1)------2\)
These both quantity are given to be equal.
So equating both equation,
\(x+7=2(x-1)\\x+7=2x-2\\2x-x=7+2\\x=9\)
Hence, the present age of huang is \(9\) years. or now he is \(9\) years old
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Predict the number of times a coin will land TAILS up, based on past trials, if flipped 300 more times.
50
. 44
132
6600 Which one?
Based on the provided past trials, it is not possible to accurately predict the exact number of times a coin will land TAILS up if flipped 300 more times.
The given past trials consist of four numbers: 50, 44, 132, and 6600. It is unclear whether these numbers represent the number of times the coin landed TAILS up or the number of total flips. Assuming they represent the number of times the coin landed TAILS up, we can calculate the average number of TAILS per flip.
The average number of TAILS in the provided past trials is (50 + 44 + 132 + 6600) / 4 = 1682.
However, using this average to predict the future outcomes is not reliable. Each coin flip is an independent event, and the outcome of one flip does not affect the outcome of another. The probability of landing TAILS on each flip remains constant at 0.5, assuming the coin is fair.
Therefore, in the absence of additional information or a clear pattern in the past trials, we cannot make an accurate prediction of the number of times the coin will land TAILS up in the next 300 flips.
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A person removes two aces, a king, one queen, and three jacks from a deck of 52 playing cards, and draws, without replacement, two more cards from the deck. Find the probability that the person will draw two aces, two kings, or an ace and a king.
The probability that the person will draw two aces, two kings, or an ace and a king is 1/330.
To find the probability of drawing two aces, two kings, or an ace and a king, we need to calculate the probability of each event separately and then add them together.
First, let's determine the total number of cards remaining in the deck after removing the specified cards:
52 - 2 (aces) - 1 (king) - 1 (queen) - 3 (jacks) = 45 cards
Probability of drawing two aces:
There are 2 aces remaining in the deck, and the person will draw 2 cards from the remaining 45 cards.
Probability of drawing two aces = (2/45) * (1/44) = 2/1980
Probability of drawing two kings:
There is 1 king remaining in the deck, and the person will draw 2 cards from the remaining 45 cards.
Probability of drawing two kings = (1/45) * (0/44) = 0
Probability of drawing an ace and a king:
There are 2 aces and 1 king remaining in the deck, and the person will draw 2 cards from the remaining 45 cards.
Probability of drawing an ace and a king = (2/45) * (1/44) + (1/45) * (2/44) = 4/1980
Finally, we add up the probabilities of the three events:
Probability of drawing two aces, two kings, or an ace and a king = (2/1980) + (0) + (4/1980) = 6/1980 = 1/330
Therefore, the probability that the person will draw two aces, two kings, or an ace and a king is 1/330.
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write 54 as a product of prime numbers
Answer:
Step-by-step explanation:
54 = 9 * 6
54 = 3 * 3 * 3 * 2
The results of a two-tailed hypothesis test are reported as follows: t(21) = 2.38, p < .05. What was the statistical decision and how big was the samp
The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.
The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).
The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.
In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).
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The absolute value of -183 is _______.
Answer:
183
Step-by-step explanation:
The absolute value of a number is the number's distance from zero, which will always be a positive value. To find the absolute value of a number, drop the negative sign if there is one to make the number positive.
Answer: 183 ✅
Step-by-step explanation:
Hii, do you need to know the absolute value of "-183"? No problem! (:
What is Absolute Value? | DefinitionThe absolute value of a number is that number's distance from zero.
That's why absolute value is always positive, because negative distances don't exist.
That's why the absolute value of a number is always positive.
|x|=x| | denotes absolute value
|-x|=-x\(\large\boldsymbol{\therefore,\;the\;absolute\;value\;of\;-183\;is\;183}}\)
Voila! There's our answer, cheers! (:
____________________Hope that this helped! Best wishes.
\(\it Reach \ far. \ Aim \ high. \ Dream \ big.\) ____________________\(\bigstar\underbrace\)
Billy is making a sign in the shape of a regular octagon. What is the measure of each interior angle of the sign?
O 45°
O 60°
O 120°
O 135°
Answer:
135°
Step-by-step explanation:
Interior angle= (n-2)/n ×180°
n= no. of sides
so,
putting the value of n which is 8
(8-6)/8 × 180
=135°
The measure of each interior angle of the sign is 135 degrees.
The correct option is D.
What is an interior angle?Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."
In a regular octagon, all the interior angles are equal.
The formula to find the measure of each interior angle of a regular polygon with n sides is:
measure of each interior angle = (n-2) x 180 / n
For an octagon, n = 8, so we can substitute this value into the formula and simplify:
measure of each interior angle = (8-2) x 180 / 8
measure of each interior angle = 6 x 180 / 8
the measure of each interior angle = 135 degrees
Therefore, the measure of each interior angle = 135 degrees.
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