Answer:
Hopes this helps
Step-by-step explanation:
Therefore , the solution of the given problem of triangle comes out to be the angle Y has a value of roughly 76.4 degrees.
What precisely is a triangle?
Because a triangle has four or more extra parts, it is a polygon. Its form is a straightforward rectangle. A triangle is a rectangle with the edges A, B, and C. A singular plane but instead cube are produced by Euclidean geometry when the sides aren't truly collinear. A triangular is a shape if it has three sides and three angles. Angles are the points where a quadrilateral three sides meet. A triangle's sides add up to 180 degrees.
Here,
We can determine the images of locations A, B, and C using the following method:
=> A': (-yA, xA)
=> B': (-yB, xB)
=> C": (-yC', xC')
where C' is the rotated version of location C.
We can determine the side lengths of triangular ABC using the Law of Cosines:
Assume that
=> a = BC = 2R sin(A/2) = 2R sin(45/2) 1.441R,
=> b = AC = 2R sin(B/2) = 2R sin(55/2) 1.663R, and
=> c = AB = 2R sin(C/2) = 2R sin(80/2) 2.219R.
where R represents the triangular ABC's circumradius.
Now, by turning point C 90 degrees anticlockwise with respect to the origin, we can determine the coordinates of point C':
xC' = -yC
yC' = xC
Then, to obtain the picture of point C, we can reflect point C' across the line y = x:
xC"=yC' and yC"=xC'
Again employing the Law of Cosines, we can determine the triangular XYZ's side lengths:
=> x = YZ = 2R sin(A'/2) = 2R sin(35) ≈ 1.189R
=> y = XZ = 2R sin(B'/2) = 2R sin(45) ≈ 1.414R
=> z = XY = 2R sin(C'/2) = 2R sin(55) ≈ 1.630R
where the picture angles of angles A, B, and C are A', B', and C', respectively.
Last but not least, we can apply the Law of Cosines once more to determine the size of angle Y:
cos(Y) i= t (x2 + z2 - y2)/ (2xz)
cos(Y) = 0.224 Y = 76.4 °
As a result, the angle Y has a value of roughly 76.4 degree
Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle. He wants to put a wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need ?
To find the length of the diagonal fence that stretches from one corner to the opposite corner of a rectangle, we can use the Pythagorean theorem, which states that the square of the length of the diagonal (hypotenuse) is equal to the sum of the squares of the lengths of the two other sides (legs) of the rectangle.
In this case, the rectangle has dimensions 24 meters by 45 meters. Therefore, the length of the diagonal fence is:
Diagonal fence = √(24^2 + 45^2) meters
Simplifying the equation, we get:
Diagonal fence = √(576 + 2025) meters
Diagonal fence = √2601 meters
Diagonal fence = 51 meters
So Steve will need 51 meters of fencing to stretch diagonally from one corner to the opposite corner of his backyard.
Which expression means the same as “a number plus 14”?
The expression that means the same as “a number plus 14” is “14 more than a number”.
In mathematical terms, when we say “a number plus 14”, we are essentially talking about adding 14 to an unknown number.
The word “plus” is used to indicate the operation of addition.
Similarly, when we say “14 more than a number”, we are also talking about the same operation of addition. Here, we are adding 14 to an unknown number.
However,
The words used to describe the operation are different.
Both expressions essentially convey the same mathematical idea, which is adding 14 to an unknown quantity. Depending on the context and the problem at hand, either expression can be used interchangeably.
It is important to note that in mathematics, expressions can be written in different forms while still conveying the same meaning.
This flexibility in writing expressions allows for more efficient and effective communication in problem-solving.
The expression that means the same as "a number plus 14" can be written in algebraic form as x + 14, where x represents any number.
In this expression, the variable x can be replaced by any number, and when we add 14 to that number, we get the result of "a number plus 14".
For example,
If we substitute x with 7, we get 7 + 14 = 21, which means "a number plus 14" is equal to 21.
The algebraic expression x + 14 means the same as "a number plus 14".
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What is the mass of one
box of nails?
Answer:
nails weight 50 lbs by knowing the weight u can find the mss
Dnd each indicated measure for for circle O. Please help
The measure of the angles and arc length for the circle are:
a: m∠BAD = 40°; b. arc CE = 48°; c. m∠BCD = 40°; d. m∠ADC = 42°; e. m∠ABE = 66°.
Explain about the angle arc theorem?Hence, the distinction between chord length versus arc length is that the former provides the distance between two places, whilst the latter provides the entire area covered across two points.
The chord's length is equal to twice the angle's radius multiplied by its sine.
The arrow theorem and central angle theorem are other names for the inscribed angle arc theorem. The measuring of the central angle equals equal to twice the value of the inscribed angle occupied by the same arc, according to this theorem.
arc BD = 80°
arc AC = 84°
∠CBE = 24°
Thus,
a: m∠BAD
m∠BAD = 1/2(arc BD)
m∠BAD = 1/2(80°)
m∠BAD = 40°
b: arc CE
m∠CBE = 1/2(arc CE)
24° = 1/2(arc CE)
24°*2 = arc CE
arc CE = 48°
c: m∠BCD
m∠BCD = 1/2(arc BD)
m∠BCD = 1/2(80°)
m∠BCD = 40°
d: m∠ADC
m∠ADC = 1/2(arc AC)
m∠ADC = 1/2*84°
m∠ADC = 42°
e: m∠ABE
m∠ABE = 1/2(arc AC + arc CE)
m∠ABE = 1/2(84° + 48°)
m∠ABE = 1/2(132°)
m∠ABE = 66°
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Last week a gumball machine dispensed 10 pink gumballs and 82 other gumballs. what is the experimental probability that the next gumball dispensed will be pink?
does anyone know this
The experimental probability that the next gumball dispensed will be pink is 5/46.
Experimental probabilities are probabilities determined from a series of experiments. Randomized experiments are performed and repeated several times to determine their probabilities, each repetition is called a trial. Experiments are performed to determine the probability of an event occurring or not occurring. It can be tossing a coin, rolling a dice or spinning a spinner.
The formula to calculate the probability of an experiment is:
P(E) = number of times the event occurs/total number of times the experiment runs
According to the Question:
Here the given is 10 pink gumballs and 82 other gumballs .
Then total outcome = 10+82 = 92
By using probability formula ,
Probability = No of favorable outcome / Total no. of outcome
Now,
Probability of getting next gumball will be pink is then,
Or, P( pink) = 10/92 = 5/46
Hence the probability of getting pink as a next gumball is 5/46.
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Evaluate the logarithm.
[tex]log_7 49[/tex]
The logarithm base 7 of 49 i.e. [tex]log_749[/tex] is 2.
What is the natural logarithm?
The natural logarithm, denoted by ln(x), is a mathematical function that gives the logarithm of a number x with respect to the base e, where e is the mathematical constant approximately equal to 2.71828.
The logarithm base 7 of 49 can be evaluated by asking the question: "To what power must 7 be raised to obtain 49?"
We can see that 7 raised to the power of 2 equals 49, so:
[tex]log_749 = 2[/tex]
Therefore, the logarithm base 7 of 49 is 2.
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Martha spent 1/6 of her pocket money on magazines. She then spent 4/5 of what is left on a present. After that she had only £3 left. How much pocket money did she have at the start? Give answer in pounds (£)
Answer:
£90
Step-by-step explanation:
1/5 =3
5/5=15
1/6=15
6/6=90
can somebody help meeeee
the probability of guessing the correct answers to both questions is 1/9, or approximately 0.111.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
Since there are three possible choices for each question, the probability of guessing the correct answer to one question is 1/3. Since each question is independent of the other, the probability of guessing the correct answer to both questions is the product of the individual probabilities:
P(guessing both answers correctly) = P(guessing first answer correctly) * P(guessing second answer correctly)
P(guessing both answers correctly) = (1/3) * (1/3)
P(guessing both answers correctly) = 1/9
Therefore, the probability of guessing the correct answers to both questions is 1/9, or approximately 0.111.
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Every student at a music college learns the flute, the violin, or both the flute and the violin. of the students who learn the flute also learn the violin. 3 times as many students learn the violin as learn the flute. x students learn both the flute and the violin. Find an expression, in terms of x, for the total number of students at the college. Flute X Violin
The total number of students in the college is expressed as: 5x
How to solve Algebra Word Problems?The parameters given are:
1/2 of the students who learn the flute also learn the violin.
3 times as many students learn the violin as learn the flute.
x students learn both the flute and the violin
Thus, the total who learn the flute = 2x
Number who learn only flute = x
Since 3 times as many students learn the violin as learn the flute. Then, 3x students only learn the violin.
Thus, total number of students at the college is:
x + x + 3x = 5x
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Complete question is:
Every student at a music college learns the flute, the violin, or both the flute and the violin. 1/2 of the students who learn the flute also learn the violin. 3 times as many students learn the violin as learn the flute. x students learn both the flute and the violin. Find an expression, in terms of x, for the total number of students at the college. Flute X Violin
in the last 100 years, there have been 93 earthquakes measuring 6.0 or more on the richter scale. what is the probability of having 3 earthquakes in the same year that all measure 6.0 or more?
The probability of having 3 earthquakes in the same year that all measure 6.0 or more is approximately 0.1106 or 11.06%.
What is probability?
Probability is a measure of the likelihood or chance that an event will occur. It is usually expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.
Assuming that the number of earthquakes measuring 6.0 or more on the Richter scale in a year follows a Poisson distribution with a mean of 0.93 (i.e., an average of 0.93 such earthquakes per year over the past 100 years), we can use the Poisson probability formula to find the probability of having exactly 3 such earthquakes in a year:
[tex]P(X = 3) = (e^{(-0.93)} * 0.93^3) / 3![/tex]
where X is the number of earthquakes measuring 6.0 or more on the Richter scale in a year.
Plugging in the values, we get:
[tex]P(X = 3) = (e^{(-0.93)} * 0.93^3) / 3! = 0.1106[/tex]
Therefore, the probability of having 3 earthquakes in the same year that all measure 6.0 or more on the Richter scale, given that there have been 93 such earthquakes in the past 100 years, is approximately 0.1106 or 11.06%.
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Analyze and Solve. Give the complete solution this given.
1.Cathy took 5-hour bicycle trip. She traveled 90 kilometers. What is her average rate of speed?
2.John Marvin travels from South America to north America every Saturday to visit her mother. The trip takes 2.5 hours and he usually travel at an average speed of 65. How many kilometers does John Marvin travel ?
3.Vic drives at an average speed of 80 on a journey of 320 . How long does the journey take?
EXPLANATION:
Please i need this to my learning.
Answer:
1.) 18
2.) 162.5
3.) 4 hours
Step-by-step explanation:
Rule: speed= distance/time
Rule: distance= time x speed
Rule: time= distance/speed
1). 90/5= 18
2). 2.5 x 65= 162.5
3). 320/80= 4
There is a cubical reservolr water tank is Anamika's house. If the volume of the tank is 512 cubic If meter, find the height of the tank.
Answer:
To find the height of the water tank, we need to know the length of one side of the cube-shaped tank.
Let's assume that the length of one side of the tank is 'x' meters.
The volume of the cube-shaped tank is given as 512 cubic meters, so we have:
The volume of the tank = (length of one side)^3
512 = x^3
Taking the cube root on both sides, we get:
x = 8
Therefore, the length of one side of the tank is 8 meters.
Since the tank is a cube, the height of the tank is also 8 meters.
Step-by-step explanation:
Answer:
8 meter
Step-by-step explanation:
Volume of cubical tank = Area of base * height
Volume of cubical tank = a * a * a
[ all 3 sides of a cube are equal, assume the side as 'a' ]
Volume = a³
a³ = 512
a = ∛512
a = 8 meter
As all dimensions of a cubical tank are equal, height of this tank = 8 meter.
which of the following tests is considered to be more powerful? group of answer choices neither; they are both equally statistically powerful which is more powerful depends on the sample size a one-tailed test a two-tailed test
A two-tailed test is considered to be more powerful than a one-tailed test. Therefore, Option D (a two-tailed test) is the correct answer.
The one-tailed test and the two-tailed test are two sorts of hypothesis tests. The number of tails, as the name implies, is the fundamental distinction between the two sorts of hypothesis tests. The tails are the areas under the probability distribution curve that are beyond the critical values or the cut-off points.
The one-tailed test is one of the types of hypothesis testing in which an alternative hypothesis is generated in a specific direction. In comparison to two-tailed tests, they are simpler to conduct. The one-tailed test is less likely to reject the null hypothesis since it only tests one of the tails. On the other hand, the two-tailed test tests both tails of the distribution, making it more powerful since it is more inclusive than the one-tailed test.
The two-tailed test is more effective since it tests for discrepancies on both sides of the distribution, whereas the one-tailed test only tests for discrepancies on one side of the distribution.
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Krista says that her chickens lay the most eggs of any chickens in the county. To prove her claim, she could survey chicken farms to see how many eggs each of their chickens laid that day. In this scenario, what is the population and what is a possible representative sample? (11 points )
)
In this scenario, the population would be all the chickens in the county, and it would be very difficult for Krista to survey every single chicken in the county.
A possible representative sample for Krista's claim could be to randomly select a certain number of chicken farms in the county and then record how many eggs their chickens laid on a given day.
The number of farms selected and the number of chickens counted would depend on the size of the county and the resources available to Krista.
However, it is important to note that even a random sample may not perfectly represent the entire population, and there could be other factors that affect egg production, such as the age and breed of the chickens or the quality of their feed.
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using diagonals from a common vertex, how many triangles could be formed from a 22-gon?
Answer: There would 20-gon
Find the percent increase in the price per pound of bread from 1940 to 1970, from 1970 to 1990, and from 1940 to 1990.
From 1940 to 1970 the price of bread increased by 250%.
From 1970 to 1990 the price of bread increased by 300%.
From 1940 to 1990 the price of bread increased by 750%.
pls help pls help 5 over 9x +1
Answer:
The expression 5/(9x+1) is already simplified. It cannot be further simplified or "solved" because it is not an equation, it is just an expression.
Step-by-step explanation:
Can someone let me know if this is correct? If it isn't, can you explain and show work?
In the triangle , the value of SB is 9.
What is triangle?
A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.
Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.
Here in the given triangle TC=18 , CU = 6 and SU=12 .
Let us take SB as x. Then,
BU = SU - SB = 12-x.
Now using triangle proportionality theorem then,
=> [tex]\frac{TC}{CU}=\frac{SB}{BU}[/tex]
=> [tex]\frac{18}{6}=\frac{x}{12-x}[/tex]
=> 3 = [tex]\frac{x}{12-x}[/tex]
=> 36-3x=x
=> 36 = x+3x = 4x
=> x = 36/4 = 9
Hence the value of SB is 9.
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I need help please help me
Answer:
Step-by-step explanation
x = 159.6
If you find an error in my solution, tell me and I will immediately re-solve!
I need help with this problem, I don't know how to solve it!!!
The given figure appears to be a parallelogram.
A parallelogram is a quadrilateral with two pairs of parallel sides. In the given figure, we can see that opposite sides are parallel, so it is a parallelogram.
We can also find that the measure of angle A is 120 degrees because the adjacent angles to angle A are 30 and 30 degrees, and the sum of adjacent angles in a parallelogram is 180 degrees. Similarly, the measure of angle C is 60 degrees.
The formula to find the area of a parallelogram is:
Area = base x height
We can choose any base and its corresponding height to find the area of the parallelogram. In the given figure, we can choose AB as the base and the perpendicular distance from AB to line DC as the height. Let's call this distance h.
From the figure, we can see that triangle ADE is a 30-60-90 triangle. The ratio of the sides in a 30-60-90 triangle is 1:sqrt(3):2. So, if AD is x, then DE is x*sqrt(3) and AE is 2x.
Since AE is parallel to DC, we can say that the height h is the same for triangles ADE and CFB. So, we can use triangle CFB to find the value of h.
Triangle CFB is a right triangle with angles 30, 60, and 90 degrees. The length of CB is 4 units and the length of CF is 2 units. So, the length of FB is 2*sqrt(3) units (using the ratio 1:sqrt(3):2). Therefore, the area of triangle CFB is:
Area = (1/2) x base x height
Area = (1/2) x 4 x 2
Area = 4
Since the area of triangle CFB is equal to the area of triangle ADE, we can say that:
Area of parallelogram ABCD = 2 x area of triangle CFB
Area of parallelogram ABCD = 2 x 4
Area of parallelogram ABCD = 8 square units
So, the area of the parallelogram is 8 square units.
Picture is there only answer number 7.
PLEASE HELP DUE TONIGHT
Answer:
$1.46
Step-by-step explanation:
a bottle of pineapple juice at store A is [tex]\frac{2.40}{5}=0.48[/tex]
a bottle of pineapple juice at store B is [tex]\frac{29.10}{15}=1.94[/tex]
the difference:
$1.94 - $0.48 = $1.46
What is the area of triangle ABC? A= 1/2bh
1. 124.71
2. 31.18
3. 10.39
4. 62.35
The area of the triangle is 62.35 square units. Option D
How to determine the areaFirst, using the cosine identity, we have;
cos θ = adjacent/hypotenuse
cos 60 = x/12
find the value
x = 6
Using the sine identity,
sin 60 = x/12
x = 10. 49
Sum of the base = Line AD + Line DB = 6 + 6 = 12
Using the formula for area of a triangle;
Area = 1/2 base × height
Area = 1/2 × 12 × 10. 39
Multiply the values, we get;
Area = 62. 35 square units
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what number is 8% less than 200?
how do you solve this step by step
Answer:
184
Step-by-step explanation:
what number is 8% less than 200?
how do you solve this step by step?
find 8% of 200
200 : 100 x 8 =
16
take off 8% (it's 16) from 200200 - 16 =
184
HEELLPPPP I WILL GIVE YOU A BRAINILIST, find the Regression Equation and the final answer
The regression line equation is given as y = -0.95X + 8.99
The chill factor when the wind is 27 miles per hour is -16.66
How to solve for regression line
Using a regression calculator, the regression line calculation is given as
Calculation Summary
Sum of X = 45
Sum of Y = 20
Mean X = 6.4286
Mean Y = 2.8571
Sum of squares (SSX) = 113.7143
Sum of products (SP) = -108.5714
Regression Equation = ŷ = bX + a
b = SP/SSX = -108.57/113.71 = -0.95477
a = MY - bMX = 2.86 - (-0.95*6.43) = 8.99497
y = -0.95477X + 8.99497
y = -0.95X + 8.99
b. The chill factor when the wind is 27 miles per hour
We would solve for this using the regression line output above
y = -0.95X + 8.99
here x = 27
y = -0.95 * 27 + 8.99
y = -25.65 + 8.99
= -16.66
Final answer y = -16.66
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Find the midpoint, M, of AB.
A = (10,-1) B = (-6,3)
M = (_,_)
Based on the above, the the midpoint of AB is M = (2, 1).
What is the midpoint?To find the midpoint of AB, we need to average the x-coordinates and the y-coordinates of A and B separately. That is:
Midpoint = ((x-coordinate of A + x-coordinate of B) / 2, (y-coordinate of A + y-coordinate of B) / 2) simply say:
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
So, for A = (10, -1) and B = (-6, 3), we have:
Midpoint = ((10 + (-6)) / 2, (-1 + 3) / 2)
Midpoint = (2, 1)
Therefore, the midpoint of AB is M = (2, 1). This means that if we drew a line segment from A to B and marked the point exactly halfway between them, that point would be at the coordinates (2, 1).
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Which plot matches the description
Based on Kamila's description, the dot plot that matches her description is Dot plot 1.
The presence of an outlier and the right-skewed distribution can be inferred from the high frequency of data points on the left side of the plot and the single data point that is much larger than the others on the right side.
What is frequency of dot plot?
The frequency in a dot plot refers to the number of dots or data points that appear in a particular bin or category. In a dot plot, each dot typically represents one data point, and the frequency of the dot is the number of data points that have that value. For example, if a dot plot shows the heights of students in a class, with bins for each inch, then the frequency of a particular bin would be the number of students whose height falls within that bin. The frequency can be represented by the number of dots in that bin or by a numerical value.
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given that the vertex is (8,6) and the y intercept is -12, what is the x-coordinate of the other point that has a y value of -12?
x-coordinate of the other point on the line that has a y value of -12 is 0
Define slopeThe slope of a line in mathematics serves as a gauge for how steep it is. It is described as the proportion of the y-coordinate change to the x-coordinate change between any two locations on a line. A line's slope can be either positive, negative, zero, or undefinable.
Given
vertex=(8,6)
intercept=-12
To find: x-coordinate of the other point that has a y value of -12
Equation of line
y=mx+c
Putting the values, we get
6=8m-12
m=18/8
m=9/4
Now, finding the x coordinate
y=mx+c
-12=9/4x-12
x=0
Hence, x-coordinate of the other point that has a y value of -12 is 0.
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Express your answer to 2 decimal places with the unit
Answer: 315.00 cm^3
Step-by-step explanation:
STEP 1: Plug the given numerical information into the equation for Volume (V = (l) (w) (h)); V = (9) (7) (5)
STEP 2: Determine the answer to above step [315]
Therefore, the answer to the question is 315 cm^3.
NOTE: Don't forget to add the Unit of Measurement to the answer. Answers to Volume related questions also get "cubed" (in this case at least).
***THE ANSWER IS 315 IN SIMPLEST FORM, HOWEVER, ROUNDED TO 2 DECIMAL PLACES IT IS 315.00.***
Pls help! I would really much appreciate it :)
Answer: C 48
Step-by-step explanation:
There is 36 apples. 7 pears to 9 apples. 36 divided by 9 is 4.
4 times 7 is 28.
7 pears to 12 oranges.
28 pears divided by 7 pears is 4.
4 times 12 oranges is 48