\(\Large\underline{\rm Solution :- }\)
Theorem : Angle subtended at the centre is double the the angle subtended at the circumference of the circle .
Here \(\overline{AOC}\) is a straight line. So it's measure is 180°. Therefore the angle subtended at the circumference will be ,
\(\implies \angle ABC = \dfrac{1}{2}\times 180° \\\\\implies \boxed{ \angle ABC = 90° }\)
Remember: Angle in a semicircle is 90°.
Please answer please ASAP * please don’t answer if you don’t know please .
Answer:
x = 26
Step-by-step explanation:
1. Information
One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.
2. Base of the rectangle
Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.
3. Base of the triangle
Use the Pythagorean theorem;
\(a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse\)
Substitute in the given value and solve
\(a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8\)
4. Finding x
There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be
x = base_of_triangle + base_of_rectagle + base_of_triangle
x = 8 + 10 + 8
x = 26
-
Find all complex solutions of 3x -3x+7=0.
+=.
(If there is more than one solution, separate them with commas.)
= 1
0/0
i 0,0,...
Х
?
Answer:
Step-by-step explanation:
3x² - 3x + 7 = 0
a = 3 ; b = -3 and c = 7
D = b² - 4ac = (-3)² - 4*3*7
D = 9 - 84 = - 75
D = 75i²
√D = √75i² = \(\sqrt{5*5*3 * i * i}= 5i\sqrt{3}\)
\(x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\ \\x=\dfrac{3+5i\sqrt{3}}{6} ; \ ; x = \dfrac{3-5i\sqrt{3}}{6}\\\\\\x =\dfrac{3}{6}+\dfrac{5i\sqrt{3}}{6} ; \ ; x=\dfrac{3}{6}-\dfrac{5i\sqrt{3}}{6}\\\\\\Solution:\\\\x=\dfrac{1}{2}+\dfrac{5\sqrt{3}}{6}i ; \ ; x=\dfrac{1}{2}-\dfrac{5\sqrt{3}}{6}i\)
Breaking stress is-a.greater than the ultimate stressb.less than " " "c.equal to the " "d.none of these
Breaking stress is (b) less than the ultimate stress, because it is point at which material undergoes "plastic-deformation" but does not necessarily break.
The "Breaking-Stress", is also known as "fracture-stress", is the stress at which a material breaks or fractures under a given load or tension.
This means that the breaking stress is the "maximum-stress" that a material can withstand before it fractures or breaks apart.
The "Ultimate-Stress" is defined as the maximum stress that a material can withstand before it undergoes plastic deformation, such as permanent bending or stretching, but without necessarily breaking.
Since the breaking stress is the point at which the material breaks, it must be less than the ultimate stress, which is the point at which the material undergoes plastic deformation but does not necessarily break.
Therefore, the correct option is (b).
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The given question is incomplete, the complete question is
Breaking stress is -
(a) greater than the ultimate stress
(b) less than the ultimate stress
(c) equal to the the ultimate stress
(d) none of these
Find the distance between the two points (-4,1) and (4,5)
By using the formula for the distance between two points we will see that the distance between the two points is √80 is 8.9
How to calculate the distance between the two points (-4,1) and (4,5)?The length of the line connecting two places represents the distance between them. Subtracting the different coordinates will reveal the distance if the two points are on the same horizontal or vertical line.
Learn how to apply the Pythagorean theorem to find the distance between two points using the distance formula. The Pythagorean theorem can be rewritten as d=(((x 2-x 1)2+(y 2-y 1)2) to calculate the separation between any two locations.
The general formula for the distance between two points (a, b) and (c, d) is:
Distance = √[(a-d)²+(b - c)²]
In this case, we have the points (-4,1) and (4,5), replacing that in the above formula we get:
Distance = √[(-4-4)²+(1-5)²]
= √80
=8.9
Therefore the distance between the two points (-4,1) and (4,5) is 8.9
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The top eight hitters in a softball league have batting averages of .373 , .360 , .321 , 321 , .320 , .312 , .311 , and .311. Find the mean of the batting averages.
The mean of the batting averages is 0.341125.
Mean is used to summarize a set of data, frequently to help determine the overall significance of the data set.
To find the mean of the batting averages, we need to sum up all the batting averages and divide by the total number of players.
Batting averages: .373, .360, .321, .321, .320, .312, .311, .311
Sum of batting averages = .373 + .360 + .321 + .321 + .320 + .312 + .311 + .311
Sum of batting averages = 2.729
Now, we divide the sum by the total number of players, which is 8:
Mean = Sum of batting averages / Total number of players
Mean = 2.729 / 8
Calculating the mean:
Mean ≈ 0.341125
The mean of the batting averages is approximately 0.341125.
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Hello!, im a little stuck on this
Answer:
61 seats.
Step-by-step explanation:
This is an example of an arithmetic sequence.
The formula for this is an = a + (n - 1)d
Where an is the number of seats in the 19th row, a is the number of seats in the first row, n is the 19th row, and d is the common difference.
We can calculate the common difference by finding how many extra seats there are from the first row to the second. 27 - 25 = 2. So, with each additional row, there are two more seats.
a19 = 25 + (19 - 1) * 2
a19 = 25 + 18 * 2
a19 = 25 + 36
a19 = 61
So, there are 61 seats in the 19th row.
Hope this helps!
Answer:
i think 61 i hope im right
Step-by-step explanation:
Find the surface area of the composite figure.
Answer The answer is c.
Step-by-step explanation:
cause i said it was
Suppose you have a nickel, two dimes, and a quarter. One of the dimes was minted in 1976, and the other one was minted in 1992. a. Assuming you choose at least one coin, how many different sets of coins can you form? b. Assuming you choose at least one coin, how many different sums of money can you produce? c. Explain why the answers in part a and part b are not the same.
As per the concept of counting problem, the reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). And the reason they are treated as one coin is because they both contribute the same amount to the sum of money.
Counting Problems
Basically, counting refers the process of finding the number of elements of a finite set of objects.
Given,
Suppose you have a nickel, two dimes, and a quarter. One of the dimes was minted in 1976, and the other one was minted in 1992.
While we looking into the given problem,
For A) states that, If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins. Let us label the dime as D, the penny as P, the quarter minted in 1976 as Q1 and the quarter minted in 1992 as Q2.
Here in this process if you choose one coin, you could choose either D, P, Q1, or Q2. This gives us 4 possible sets.
And If you choose two coins, you choose the following sets of coins: DP, DQ1, DQ2, PQ1, PQ2, Q1Q2. This gives us 6 possible sets.
Then If you choose three coins, you could the following sets of coins: DPQ1, DPQ2, DQ1Q2, PQ1Q2. This gives us 4 possible sets.
So, If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible set.
So, the total number of different sets of coins you can form is 4 + 6 + 4 + 1 = 15 different sets of coins can be formed.
Similarly, for b) If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins.
Then If you choose one coin you could choose either D, P, Q1, or Q2. However, since Q1 and Q2 give us the same sum, they are effectively the same set. This gives us 3 possible sums.
So, If you choose two coins, you could choose the following sets of coins : DP, DQ, PQ, Q1Q2.And this gives us 4 possible sums
Then If you choose three coins, you could choose the following sets of coins: DPQ, DQ1Q2, PQ1Q2. And this gives us 3 possible sums
Then If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible sum.
So, the total number of different sums of coins you can form is 3 + 4 + 3 + 1 = 11 different sums of money can be produced.
Finally, c) The reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). And the reason they are treated as one coin is because they both contribute the same amount to the sum of money.
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First 5 multiples of 7
Answer:
\(\bold{7,~14,~21,~28,~35}\)
Step-by-step explanation:
Hi there!
7 has infinitely many multiples. Here are the first 5 of them:
\(\bold{7*1=7}\\\bold{7*2=14}\\\bold{7*3=21}\)
\(\bold{7*4=28}\\\bold{7*5=35}\)
Hope this helps!
#\(\rm{HaveAnAmazingDay!\)
~Just a teenage girl willing to help
\(\bold{We~are~besties~for~ever:-)}\)
A cell phone company uses the equation C=$0.15t+$35.00 to determine the total cost, C, for a month of service based on the number of text messages, t. Identify the slope.
Slope is $0.15 of the equation of cost C=$0.15t+$35.00.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given that A cell phone company uses the equation C=$0.15t+$35.00
C is the total cost for a month of service.
t is the number of text messages.
We have to find the slope of the equation.
slope is 0.15 and 35.00 is the y intercept of the equation given.
Hence, slope is $0.15 of the equation of cost C=$0.15t+$35.00.
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Given the following sections: 1 Hour, 33 Minutes, 19 Seconds Station 2+020 Station 2+080 Base for cut =12 m, Sideslope for cut = 1.5:1 Base for fill =12 m, Sideslope for fill = 2:1 Required: 1. What is the stationing of the end of excavation? 2. Find the volume of fill by end area method. 3. Compute the volume of excavation by end area.
The stationing of the end of the excavation is Station 2+080.
The volume of fill by end area method is 1440 cubic meters.
The volume of excavation by end area is 1080 cubic meters.
We have,
The stationing of the end of excavation can be determined by adding the given sections to the starting station.
Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).
To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.
Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:
Area of end section = (Base for fill) * (Sideslope for fill)
Area of end section = 12 * (2/1) = 24 square meters
Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:
Volume of fill = Area of end section * Distance
Volume of fill = 24 * 60 = 1440 cubic meters
Therefore, the volume of fill by end area method is 1440 cubic meters.
Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:
Area of end section = (Base for cut) * (Sideslope for cut)
Area of end section = 12 * (1.5/1) = 18 square meters
Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:
Volume of excavation = Area of end section * Distance
Volume of excavation = 18 * 60 = 1080 cubic meters
Therefore, the volume of excavation by end area is 1080 cubic meters.
Thus,
The stationing of the end of the excavation is Station 2+080.
The volume of fill by end area method is 1440 cubic meters.
The volume of excavation by end area is 1080 cubic meters.
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Read the picture please
Answer:
1100
Step-by-step explanation:
After rounding,
3200 - 2100 = 1100
find the weight ? needed to hold the wall shown in fig. p2.76 upright. the wall is 10 m wide.
As per the given height of the wall, the approximate weight is 149kN
The term Hydrostatic refers to the force exerted by static water on the plate or object and its magnitude depends upon the positioning of the object inside the water.
Here we have given the following values,
Height = 2.76 upright
Width = 10 m
Here we have to consider the hydrostatic force acting on the wall about the pinned point say P then the expression is looks like,
=> F = ωAx
=> F = 9810(10 × 4) × 2
=> F = 784800 N = 785KN
Now, the weight is calculated as per the Hydrostatic method as,
=> W = (1.33/7) x 785
=> W = 149 kN
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Two functions are given below.
f(x) = 3(x-2)
g(x) = 2x² - 4x +3
What is the approximate interval for which f(x) > g(x)?
A- x>5.3
B- x < 5.3
C- x>38.3
D- x < 38.3
Two functions are given, is the approximate interval will be x < 5.3. The correct option is B.
To decide the interval for which f(x) > g(x), we need to find the values of x that satisfy the inequality f(x) > g(x).
First, allows set up the inequality:
f(x) > g(x)
3(x-2) > 2x² - 4x + 3
Expanding and simplifying the inequality, we get:
3x - 6 > 2x² - 4x + 3
2x² - 7x + 9 > 0
Now, we can solve this quadratic inequality to find the c program languageperiod for x:
The answers to the quadratic equation 2x² - 7x + nine = 0 are approximately x = 1.46 and x = 3.54.
Since the coefficient of x² is positive (2 > 0), the parabola opens upwards. Therefore, the interval for which f(x) > g(x) is given by:
x < 1.46 or x > 3.54
Thus, B- x < 5.3 is the correct option.
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Find a Cartesian equation for the curve and identify it. r² cos(2θ) = 1 ellipse parabola circle hyperbola limaçon
The equation x² + y² = 1/cos²(θ) represents a circle centered at the origin with a radius of 1/cos(θ).
What is Cartesian equation?In a two-dimensional or three-dimensional plane, the cartesian form is useful for representing a point, a line, or a plane. The x, y, and z axes are correspondingly used to express the cartesian form with regard to the three-dimensional cartesian system.
To find a Cartesian equation for the curve described by the polar equation r²cos(2θ) = 1, we can use the conversion formulas:
x = r cos(θ)
y = r sin(θ)
Substituting these into the given equation, we have:
(x² + y²)cos(2θ) = 1
Expanding the cosine term using the double-angle formula, cos(2θ) = cos²(θ) - sin²(θ), we get:
(x² + y²)(cos²(θ) - sin²(θ)) = 1
Simplifying further, we have:
x²cos²(θ) + y²cos²(θ) - x²sin²(θ) - y²sin²(θ) = 1
Using the identity cos²(θ) + sin²(θ) = 1, we can substitute it in the equation:
x² + y² - x²sin²(θ) - y²sin²(θ) = 1
Rearranging terms, we obtain:
x²(1 - sin²(θ)) + y²(1 - sin²(θ)) = 1
Using the identity 1 - sin²(θ) = cos²(θ), we can simplify further:
x²cos²(θ) + y²cos²(θ) = 1
Finally, dividing both sides by cos²(θ), we get:
x² + y² = 1/cos²(θ)
The equation x² + y² = 1/cos²(θ) represents a circle centered at the origin with a radius of 1/cos(θ).
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answer correctly first for your brainliest!! :D solve for x: y=3x+22-2x !
Answer:
\(x=y-22\)
Step 1:
In order to solve this equation, we must subtract the y on both sides so the y could be cancelled out on the left and could move to the right side of the equation.
\(y=3x+22-2x\\=-y+3x+22-2x\)
Step 2:
Then, we add 2x on the right side of the equation to cancel out the -2x and bring it to the left of the equation, where the y was before.
\(=-y+3x+22-2x\\2x=-y+3x+22\)
Step 3:
Then, we do the same thing with 3x: subtract it from the right side and add it to the 2x, which becomes -x.
\(2x=-y+3x+22\\2x-3x=-y+22\\-x=-y+22\)
Step 4:
Finally, we divide all the numbers by -1 to get our final answer! Reminder: we are doing all this because we have to isolate the x, since we are solving for x.
\(-x=-y+22\\\frac{-x}{-1} =\frac{-y}{-1}+\frac{22}{-1} \\x=y-22\)
Our answer is x = y - 22. Hope this helps!
Answer:
answer: x=y-22
Step-by-step explanation:
first subtract y from both sides. then, add -2x on both sides and subtract 3x from the right so the 2x will be -x. divide everything by a - and the answers x=y-22
Select all polynomial expressions that are equivalent to 5x^2+7x-4x^2+5
A:
13 x 5
B:
5x3-4x 2 + 7 x + 5
C:
5x3+4x \boldcdot 2 +7 x + 5
D:
5+4x-7x2+5x3
E:
5+7 x-4x2 + 5x3
Answer:
A.13x5
Step-by-step explanation:
hey I am Trump dhuxehydhucj xubr hd
What is the value of x?
Enter your answer in the box.
x = []
please help me thank you
Answer:
550 trees
Step-by-step explanation:
9*50=450
450+100=550 Trees
I NEED IT NOW!!! I ALSO NEED YOUR WORK OF HOW YOU GET YOUR ANSWER !! THANK YOU!
Solve for x and z:
x-m/n+m = x-n/ n-m
Answer:
Solve the rational equation by combining expressions and isolating the variable
x
.
All real numbers
Interval Notation:
−∞,∞)
Step-by-step explanation:
the mean of 6 numbers is 35 what is the sum of the mumbers
\(35 * 6 = 210\\210 / 6 = 35mean\)
Therefore, out of one of the many ways to solve this, I found 35.
A logging company is funding a study to determine the best practice for reforesting a cut section of forest. the previous best practice has been to plant the same type of tree with equally spaced intervals. the proposed method of reforestry is to plant a variety of trees at differing intervals. in the study, some tracts of land are reforested using the previous best practice. what are these tracts of land in the study?
The tracts of land in the study is the Control group.
The tracts of land in the study are reforested using the previous best practice whose results are already known. Now, it is not known, how the proposed method of reforestrey to plant a variety of trees at different intervals would grow. So, the tracts of land of previous plant can serve as a standard to which comparisons can made as to whether the newly proposed method is performing better than the previous or not.
This study was conducted at the Agua Salud Project site located in the Panama Canal Watershed (9° 13 N′, 79° 47′ W, 33 m amsl) with an average rainfall of 2700 mm annually, 80% of which falls between May and mid-December. Mean daily maximum and minimum temperatures are 32 °C and 23 °C . The topography is characterized by short and steep slopes. Soils are silt clay to clay with pH values of 4.4 to 5.8 and have very low levels of both plant available and total phosphorus. The data were collected from the Agua Salud native species and T. grandis plantation, both established in 2008 and planted in the same 3 m by 3 m spacing configuration.
Despite this information, changing landowners’ perceptions and transitioning from one species to a lesser known one, is a risk for the landowner and may require financial incentives.
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△abc is similar to △qrs. also, side ab measures 50 cm, side ac measures 60 cm, and side qs measures 6 cm. what is the measure of side qr ? enter your answer in the box. the measure of side qr = cm
The measure of side QR = 5cm
A triangle is a polygon with three edges and vertices, and with vertices A, B, and C is denoted △ABC.
A triangle has three sides, three angles, and three vertices.
The sum of all internal angles of a triangle is always equal to 180°.
The sum of the length of any two sides of a triangle is greater than the length of the third side.
The given information is:
As triangles ABC and QRS are similar ;
So, AC is similar to QS
AC=60cm and QS=6cm, which means if we divide the length of AC by 10 we get the measure of length QS
AC=60/10
AC= 6cm
And, AB is similar to QR and AB=50cm, if we divide this by 10 we get the measure of QR
QR=50/10
QR=5 cm
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Which of the following correlation coefficients indicates the strongest relationship between two variables? a.−1.0 b. 0.80 c.0.1 d.−0.45
The correlation coefficient that indicates the strongest relationship between two variables is a. -1.0.
The correlation coefficient is a numerical measure that quantifies the relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.
In this case, a correlation coefficient of -1.0 represents a perfect negative correlation, meaning that the two variables have a strong, linear relationship where as one variable increases, the other decreases in a perfectly predictable manner. This indicates a very strong and consistent inverse relationship between the variables.
In comparison, a correlation coefficient of 0.80 indicates a strong positive correlation, but it is not as strong as a perfect negative correlation of -1.0. A correlation coefficient of 0.1 suggests a weak positive correlation, while a correlation coefficient of -0.45 indicates a moderate negative correlation.
Therefore, out of the given options, the correlation coefficient of -1.0 represents the strongest relationship between two variables.
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In general, which of the following could be an appropriate null hypothesis? selection was . selection was . selection was . selection was . selection was . selection was .
In general, an appropriate null hypothesis is one that states there is no significant difference or relationship between two variables.
Therefore, out of the options given, the appropriate null hypothesis would be "selection was not a significant factor."
An appropriate null hypothesis is "Selection has no effect on the observed outcome. "it means that any differences observed in the data are due to chance, and not due to a specific selection process or factor. The null hypothesis serves as a starting point in statistical analysis, and researchers aim to either accept or reject it based on the evidence collected.
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A cylinder has a base radius of 6
centimeters and a height of 20
centimeters. What is its volume in cubic
centimeters, to the nearest tenths place?
Answer:
Therefore, the volume of the cylinder is approximately 2,262.9 cubic centimeters.
Step-by-step explanation:
The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
Substituting the given values, we get:
V = π(6 cm)^2(20 cm)
V = 720π cm^3
To find the volume to the nearest tenth, we can use the approximation π ≈ 3.14 and calculate:
V ≈ 720(3.14) cm^3
V ≈ 2,262.8 cm^3
Rounding to the nearest tenth, we get:
V ≈ 2,262.8 cm^3 ≈ 2,262.9 cm^3
Therefore, the volume of the cylinder is approximately 2,262.9 cubic centimeters.
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Which fraction comparison reasoning strategy can be used when both fractions have the same number of pieces?
Is this graph a function?
Answer:
yes
Step-by-step explanation:
lee el texto y sustituye las palabras resaltadas por frases adverbiales que expresen temporalidad
Answer:
............. ahi esta la respuesta
1. Set G is the set of positive integers divisible by 4 and set F is the set of perfect squares. List thr first 5 elements of set H, which contains numbers in G that ate also in F
2. Which Elements of the set of natural are also irrational numbers?
Answer:
86
Step-by-step explanation:
= 200 +142 -28
=342-28
=314
= 1000