Circle O shown below has a radius of 4 inches. Find, to the nearest tenth, the radianmeasure of the angle, x, that forms an arc whose length is 6 inches.X4 inches6 inches
Answers
We are asked to determine the angle "x" that will produce arclength of 6 inches in a circle with a radius of 4 inches. To do that we will use the following formula:
\(S=r\theta\)Where:
\(\begin{gathered} S=\text{ arclength} \\ r=\text{ radius} \\ \theta=\text{ angle in radians} \end{gathered}\)Now, we solve for the angle by dividing both sides by "r":
\(\frac{S}{r}=\theta\)Now, we plug in the values:
\(\frac{6in}{4in}=\theta\)Now, we solve the operations:
\(1.5rad=\theta\)Therefore, the angle is 1.5 radians.
Related Questions
4/7=x/12 round to the nearest tenth
Answers
Answer:
6.9
Step-by-step explanation:
I will use cross-multiplication for this problem:
\(\frac{4}{7} =\frac{x}{12} \\\\7x=48\\\\x=\frac{48}{7} \\\\x=6.857\)
Rounded to tenths:
6.9
is n/3 =15 a one solution, infinite solution, or no solution?
Answers
n/3=15 is 45 so one solution
Factor 12+54. Write your answer in the form a(b+c) where a is the GCF of 12 and 54
Answers
For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).
In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3
54 = 2×3 ×3×3
The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9
Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).
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g(x)=3x + 5 find g(-6)
Answers
\(\huge\text{Hey there!}\)
\(\mathsf{g(x) = 3x + 5}\\\mathsf{g(x) = 3(-6) + 5}\\\mathsf{g(x) = -18 + 5}\\\mathsf{g(x) = -13}\)
\(\huge\text{Therefore your answer should be:}\\\\\huge\boxed{\mathsf{g(x) = -13}}\huge\checkmark\\\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\)
HELP ASAP!!!!!!!!! PLSSSSSS
Answers
Please let me know if it is right!
Prove Two Triangles Are Similar by Showing One of the Following:
1) Three pairs of corresponding sides are proportional (SSS Similarity).
2) Two pairs of corresponding sides are proportional and the included angles are congruent (SAS Similarity).
3) Two pairs of corresponding angles are congruent (AA Similarity).
Answers
To prove that two triangles are similar, one of the following conditions must be satisfied: 1) Three pairs of corresponding sides are proportional (SSS Similarity), 2) Two pairs of corresponding sides are proportional and the included angles are congruent (SAS Similarity), or 3) Two pairs of corresponding angles are congruent (AA Similarity).
SSS Similarity: If we can show that the ratios of the corresponding sides of two triangles are equal, then the triangles are similar. For example, if the ratios of the lengths of the corresponding sides of triangle ABC and triangle DEF are AB/DE, BC/EF, and AC/DF, and these ratios are equal, then the triangles are similar.
SAS Similarity: If we can prove that two pairs of corresponding sides of the triangles are proportional and the included angles between them are congruent, then the triangles are similar. For example, if AB/DE = BC/EF and angle BAC = angle EDF, then triangles ABC and DEF are similar.
AA Similarity: If we can demonstrate that two pairs of corresponding angles in the triangles are congruent, then the triangles are similar. For example, if angle A in triangle ABC is congruent to angle D in triangle DEF, and angle B in triangle ABC is congruent to angle E in triangle DEF, then the triangles are similar.
It is important to note that proving similarity based on these conditions does not require measuring the actual lengths of the sides or angles but rather establishing the proportional relationships or congruence between them.
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x=? degrees
EQUATION DOWN BELOW!!
Answers
Answer:
x=74
Step-by-step explanation:
We know this triangle is an isosceles, because there are two angles that are congruent and one angle that isn't, because x=x.
All angles in a triangle add up to 180, so to find the value of x, we can use this equation: 180=32+x+x
We can simplify by combining the x's:
180=32+2x
Then subtract 32 to isolate the variable
148=2x
And divide by 2
The answer would be 74.
let say that x, y, z are regular unix user processes and x’s parent is y and y’s parent is z. when process y dies, what would happen?
Answers
The exact behavior and consequences depend on the Operations system's process management mechanisms and the actions taken by process z or the system's process manager.
When process y dies, the Operations system handles the termination of the process and performs certain actions related to its termination. Here are the likely outcomes when process y, with process x as its child and process z as its parent, dies:
1. Process y's termination: When process y dies, the operating system marks it as terminated and frees up any system resources that were allocated to it. This includes releasing memory, closing file descriptors, and removing its entry from the process table.
2. Parent-child relationship: Since process x is the child of process y, the operating system updates the parent-child relationship. Typically, when a parent process dies, the child process is reassigned to another process called the init process or is terminated if no other process adopts it. The exact behavior depends on the operating system's process management policies.
3. Process z's status: Process z, being the parent of process y, may receive a notification or a signal indicating the termination of its child process. The operating system usually sends a SIGCHLD signal to the parent process, allowing it to handle the termination of its child process appropriately. Process z can choose to ignore the signal or perform actions such as cleaning up resources or spawning a new child process to replace the terminated one.
4. Orphaned process: If process z does not handle the termination of process y appropriately or if process z itself terminates before process y, process x becomes an orphaned process. Orphaned processes are typically adopted by the init process or the system's process manager, ensuring that they are handled and terminated properly.
In summary, when process y dies, the operating system marks it as terminated, updates the parent-child relationship, and may notify process z. The exact behavior and consequences depend on the operating system's process management mechanisms and the actions taken by process z or the system's process manager.
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We wish to construct a 99% confidence interval for the true mean oven temperature of a
certain oven model. Four ovens of this model are selected at random. The dial on each is set
to 300°F, and, after one hour, the actual temperature of each is measured. The temperatures
measured are 305°, 310°, 300°, and 305°. Which of the following options gives the correct
notation for and value of the point estimate?
Answers
Answer:
The notation for the point estimate is x = 304.
Find the y-intercept of the line on the graph.
Answers
Answer:
2
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
(0,3) is where the line intersects the y- intercept.
I want to know if this is correct thank you.
Answers
Answer:
yes
(┬┬﹏┬┬)(❁´◡`❁)(●'◡'●)(❁´◡`❁)
Step-by-step explanation:
Answer: yes its correct
Step-by-step explanation: have a nice day\night buddy
find the equation of the ellipse that the ends of its major axis at (-5,2) and (3,2) and a minor axis of length 6
Answers
The equation of the ellipse that the ends of its major axis at (-5,2) and (3,2) and a minor axis of length 6 is (x+1)²/16 + (y-2)²/9 = 1.
What is an ellipse?
An ellipse can be defined as the locus of all those points in a plane such that the sum of their distances from any two given fixed points in the plane is constant. The foci (singular focus) are the fixed points, which are surrounded by the curve.
To find the equation of the ellipse, we need to determine the center of the ellipse, the lengths of the major and minor axes, and the orientation of the ellipse.
The center of the ellipse is the midpoint of the line segment joining the ends of the major axis, which is:
((-5+3)/2, (2+2)/2) = (-1, 2)
So the center of the ellipse is (-1, 2).
The length of the minor axis is 6, so the semi-minor axis b is 3.
The length of the major axis is the distance between the points (-5,2) and (3,2), which is 8. So the semi-major axis a is 4.
The major axis is horizontal, so the ellipse is oriented with its major axis along the x-axis.
Now we can use the standard equation of an ellipse with a horizontal major axis:
(x-h)²/a² + (y-k)²/b² = 1
where (h, k) is the center of the ellipse.
Substituting the values we found, we get:
(x+1)²/4² + (y-2)²/3² = 1
Simplifying and expanding, we get:
(x+1)²/16 + (y-2)²/9 = 1
Hence, the equation of the ellipse is (x+1)²/16 + (y-2)²/9 = 1.
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3x+4=9x+3 so what does x equal?
Answers
Answer:
x = 1/6
Step-by-step explanation:
6x = 1
x = 1/6
Answer:
x = 1/6
Step-by-step explanation:
3x + 4 = 9x + 3
collect ' like terms'
the smaller terms should be the ones crossing the = sign
4 - 3 = 9x - 3x
1 = 6x
x = 1/6
solve the following using BEDMAS
5X4 -(3+1)2÷2
Answers
the value of the expression is 12.
To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.
The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.
It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.
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What is the value of A in this equation: a/15 = 5
Answers
Answer:
a=75
Step-by-step explanation:
75/15=5
Answer:
3
Step-by-step explanation: 5x3=15 15 divided by 3 is 5
For this project, you will create a digital poster, PowerPoint, or brochure that goes through the step-by-step procedure needed to draw a quadratic equation. You will also need to include pictures or drawings of real-life parabolas. Preparation: Before creating your product, you must find the basic information about the graph of your quadratic equation. You must find the information listed below and have it checked by your teacher BEFORE you create your digital product. 1. Does the parabola open upward or downward? How can this be determined from the equation? 2. What is the equation of the axis of symmetry? 3. What are the coordinates of the vertex? 4. What is the minimum/maximum value of your parabola? 5. What is the y-intercept of your parabola? 6. What are the roots/zeros/x-intercepts of your parabola? How many roots are there and how do you know? a. Solve by factoring b. Solve using the quadratic formula 7. How do you find other points on the parabola? Find at least two points on each side of the parabola. 8. Include a graph of the parabola. You may use a digital graphing utility such as DESMOS. 9. Find at least three pictures that represent parabolas. 1. Present your quadratic equation first. 2. You need the following information in your final product: a. Direction of Parabola Section: You need a statement that reads, "The parabola for this equation opens because b. Maximum/Minimum Section: Describe how you determine if the equation has a maximum or minimum value and what is the value. You must include a statement that reads something like, "The maximum value of this quadratic function is_ c. Axis of Symmetry Section: Include the formula for finding the AOS and the following statement: "The axis of symmetry is d. Vertex Section: Include the work you did in order to find the vertex, as well as a statement that reads, "The vertex is located at (___ e. Y-intercept Section: Describe how to find the y-intercept for this equation and include a statement that reads, "The y-intercept for this equation is ( f. Roots/Zeros/x-intercepts Section: Find the roots of the function by factoring and by using the quadratic formula. Identify how many roots there are. For example, "The roots of this quadratic equation are () and ( _)." It is possible to have a quadratic equation with only one root or zero real roots. g. Other Points Section: Show how you found four other points on your parabola. At least one of the points must be found by explaining the symmetry of the parabola. h. Graph: The graph of the parabola must have the vertex, roots, and y-intercept labeled. Your teacher will assist you in this task if you cannot figure out how to do this with a digital graphing utility. i. Real-Life Section: Find at least three examples of parabolas on the internet and include them in your final product. Creating your digital product
Previous question
Answers
Creating a digital poster, PowerPoint, or brochure about drawing a quadratic equation involves step-by-step procedures and the inclusion of real-life parabola examples finding the y-intercep.
Before starting the project, it is essential to gather basic information about the graph of the quadratic equation and have it verified by a teacher. This includes determining the direction of the parabola, finding the equation of the axis of symmetry, identifying the coordinates of the vertex, determining the minimum/maximum value, finding the y-intercept, and calculating the roots/zeros/x-intercepts of the parabola.
The final product should include sections that cover the direction of the parabola, the maximum/minimum value, the axis of symmetry, the vertex, the y-intercept, the roots/zeros/x-intercepts, other points on the parabola, and a labeled graph. Additionally, at least three real-life examples of parabolas should be included. The digital product should provide clear explanations and visual representations to help understand the concepts and procedures.
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Which expressions are equivalent to 4(x - 1)?
Select all that apply.
4x - 3
0 4x - 1
4X-4
4 + x - 1
2x - 4 + 2x
O x
X-X + 2x + 4
Answers
Answer:
the exprrssions are equivalent to 4( x-1)
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answers
Answer:
2n^3
Step-by-step explanation:
3[(x-5)+2x]
Please solve this very quickly, I need it right now.
Answers
Answer:
9x - 15
Step-by-step explanation:
3[(x-5)+2x]
3(3x -5)
= 9x - 15
tadah!
Answer:
3(x-5) +2x
Expand:
3x -15+2x
3x+2x-15
5x -15
\(\sqrt{ 6^{2} +(x-2)^{2} }\)
Answers
Answer:
\( \sqrt{36 + x {}^{2} } - (2) {}^{2} \\ 6 + x + - 2 \\ 6 - 2 + x \\ 4 + x \\ \: \:answer = 4 + x \\\)
A typical car traveling at highway speeds ( 100 kph ≈ 28 m/s) is capable of stopping in about 55 m at maximum braking. Estimate the acceleration of the car during braking.
Answers
Answer:
~1.96 m/s
Step-by-step explanation:
55 / 28 meters per second. Distance / velocity = acceleration
The acceleration of the body is 7.23 m/s²
What is Newton's 1st law of motion ?
A body in motion will remains in motion and a body at rest remains at rest until any external force is applied on it.
In the given question it is given that the car is travelling at some initial velocity u of 28m/s and it come to rest after applying break that is final velocity v equals zero and the distance travelled by the car s is 55m.
Now using 3nd equation of motion to find the acceleration of car :
\(\begin{aligned}v^{2}&=u^{2}+2as\\0^2&=28^2+2a\cdot55\\a&=\frac{-28^2}{2\cdot55}\\&\approx 7.13 \text{ m/s}^2\end{aligned}\)
therefore, the acceleration of the body is 7.23 m/s²
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What are the amplitude and the period of the graph represented by the equation y = -3cos? ? (1) amplitude: -3; period: (2) amplitude: -3; period: 6 (3) amplitude: 3; period: 3 (4) amplitude: 3; period: 64 I
Answers
The amplitude and the period of the graph represented by the equation y = -3cosθ/3 is amplitude: 3; period: 6. The xorrect answer is option 4
The equation provided is y = -3cos(θ/3), where θ is the angle.
The amplitude of the graph represented by this equation is the absolute value of the coefficient in front of the cosine function. In this case, the amplitude is |-3|, which equals 3.
To find the period, we need to calculate the value that is inside the cosine function's argument (θ/3) that will complete one full cycle of the cosine function. The period can be found using the formula: period = 2π / (coefficient of θ).
In this equation, the coefficient of θ is 1/3. Applying the formula, we get:
period = 2π / (1/3) = 6π.
Therefore, the correct answer is (4) amplitude: 3; period: 6.
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Help with geeomtry with trapezoids. IJKL is a trapezoid with bases LK and IJ. If m < JKL = 71 degrees and m < IJL = 42 degrees, find m < LJK.
Answers
If the density of blood is 1.060 g/ml, what is the mass of 6.56 pints of blood? [1 l = 2.113 pints]
Answers
The mass of 6.56 pints of blood is 3.92 grams.
Given
The density of blood = 1.060 g/mL and mass of 6.56 pints
We have 1L = 2.113 pints
The density of a substance can be defined as the ratio of the mass of the substance to the volume of the substance. In chemistry, density is used to measure the concentration of the substance in the solution.
The expression for density = mass/volume
ρ = m/V
m = ρV
Mass = 1.060(1000ml/1L) × 6.56(1L/ 2.113)
= 3290.8 /1000
= 3.29g
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how many real solutions does the equation have?
t² - 31 = 21
Answers
The equation t² - 31 = 21 has two real solutions, t = 2√13 and t = -2√13.
To determine the number of real solutions for the equation t² - 31 = 21, we need to solve the equation and examine the nature of its roots.
Starting with the given equation:
t² - 31 = 21
We can simplify it by moving the constant term to the right side:
t² = 21 + 31
t² = 52
Taking the square root of both sides, we get:
t = ±√52
Simplifying the square root of 52, we have:
t = ±√(4 * 13)
t = ±2√13
Since the square root of a positive number produces both a positive and negative value, we have two distinct real solutions for t.
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lolz helppp thank uuuuuu
Answers
Answer:
Step-by-step explanation:
Friend runs 32/2=16 miles per week
You run 24/3=12 miles per week
Your friend runs (16-12)=4 more miles than you each week.
Answer:
o
Step-by-step explanation:
What is the domain function?
Answers
The domain of a function is the set of possible values that can be plugged into it.
What is meant by domain function?Let y = f(x) be a function where x and y are the independent and dependent variables. If a function f offers a means of successfully generating a single value y while using a value for x to that end, then that selected x-value is said to belong to the domain of f.
The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values. The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.
The entire range of possible values for the independent variable make up the domain of a function. In layman's terms, this definition states that the domain is the collection of all x-values that could possibly cause the function to "work" and produce actual y-values.
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Use the given scale factor and the side lengths of the scale drawing determine the side lengths of the real object.
Answers
Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long. Therefore, option C is the correct answer.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, scale factor =2:1
Scale drawing to object the scale factor is 2:1.
Now,
a=1/2 *5 =2.5 inches
b= 1/2 *10 = 5 inches
c= 1/2 * 13 = 6.5 inches
Therefore, option C is the correct answer.
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is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In 1 hour, the bucket is of the way full. (hint: y = bucket filled, x = time in hours)
Answers
the equation of the problem is
\(y=x\)because 1 bucket is full per hour
A minor league hockey team had the following scores for the start of the season for the start of the season 3,6,2,1,2,3,0,4,5,1,5,4. What is the MODE score of the hockey team?
Answers
The given data set is:
\(3,6,2,1,2,3,0,4,5,1,5,4\)It is required to find the mode.
Recall that the mode is the value in a set of data that has the most occurrences.
Note that the mode is not unique and a data set may have no mode.
The value that has the most occurrences in the set is not unique.
Hence, the data set has no mode score