A point is said to be equidistant from a set of objects if the distances between that point and each object in the set are equal.
In two-dimensional Euclidean geometry, the locus of points equidistant from two given (different) points is their perpendicular bisector. In three dimensions, the locus of points equidistant from two given points is a plane, and generalising further, in n-dimensional space the locus of points equidistant from two points in n-space is an (n−1)-space.
For a triangle the circumcentre is a point equidistant from each of the three vertices. Every non-degenerate triangle has such a point. This result can be generalised to cyclic polygons: the circumcentre is equidistant from each of the vertices. Likewise, the incentre of a triangle or any other tangential polygon is equidistant from the points of tangency of the polygon's sides with the circle.
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STUDY TIP 1
Don't do all your studying the night before. Instead spread it out, review class materials several times a week, and focus on one topic at a time.
FOLLOW FOR MORE TIPS !!!
Answer:
THANK U!
FOR THE TIP.
HAVE A GREAT DAY!
I need help big time
PLEASE HELP ME ASAP PLEASE.
Answer:
See below
Step-by-step explanation:
g (h(6)) :
h (6) = 3 ( 6^2) + 2 = 110
then g (110) = sqrt (110)
h (g(5))
g(5) = sqrt 5
then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17
12. Relationship A is defined by the equation y = 9x. Some values of relationship B are shown in the table. Relationship
Answer:
it is b cuz I took the test and got it right sooooo yaa there you go have fun with the answer
If * = 8 units, y= 13 units, and h= 11 units, then what is the area of the parallelogram shown above?
The area of the figure shown below is equivalent to 88 square units.
Properties of a parallelogramA parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry.
The opposite sides of a parallelogram are congruent and the sum of their adjacent side is equivalent to 180 degrees.
The formula for calculating the area of a parallelogram is expressed as;
Area = length * breadth
Area = x * h
Area = 8 * 11
Area = 88 square units
Hence the area of the parallelogram above is 88 square units.
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Question
Find the volume of the sphere. Round your answer to the nearest tenth.
The volume of the sphere is 0. 52 ft³
How to determine the volumeTo determine the volume, we need to know the formula
Hence, the formula that is used for calculating the volume of a sphere is expressed as;
V = 4/3 πr³
Such that the parameters of the formula are;
V is the volumer is the radius of the sphereSubstitute the values, we have that;
Volume = 4/3 ×3.14 × 0.5³
Find the cube value
Volume = 4/3 × 3.14 × 0.125
Multiply the values
Volume = 1.57/3
Divide the values
Volume = 0. 52 ft³
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Lilly decides to make cupcakes and sell them at the local farmer's market. She borrows $225 dollars from Garrison and another $120 from Sasha for baking supplies. After the first month she made $150 in profit that she will use to pay back some of her debt. How much more does Lilly owe on the debt?
Answer: $195 in debt
Step-by-step explanation:
$225+$120= $345
$345-$150= $195
PLEASE HURRY, IT'S MISSING!!
Answer:
cant solve it
Step-by-step explanation:
find values for c and d so the shaded square has side length between 6 and 7 cm :)
The values for c and d are c = 4 and d = 5
How to find the values for c and dFrom the question, we have the following parameters that can be used in our computation:
The square
The side length of the shaded square is calculated as
L = √c² + d²
So, the area is
Area = c² + d²
The shaded square has side length between 6 and 7 cm :
So, we have
6² < c² + d² < 7²
When evaluated, we have
36 < c² + d² < 49
When evaluated, we have
c = 4 and d = 5
i.e.
36 < 4² + 5² < 49
36 < 41 < 49
Hence, the values for c and d are c = 4 and d = 5
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Weight Lifting A weight lifter puts an
X-pound weight on each side of a bar.
A weight 5 pounds heavier than the first is
then added to both sides. Finally, a weight
5 pounds heavier than the second weight
is added to both sides. The expression
2[x + (x + 5) + (x + 2(5))]models the
total weight lifted. Simplify the expression.
What would the expression be if each added
weight was 10 pounds heavier than the
previous weight?
Answer:
Expression: 6x + 30
Step-by-step explanation:
2[x + (x + 5) + (x + 2(5))]
2[2x + 5 + x + 10]
2(3x + 15)
6x + 30
The second question's terminology is too ambiguous for me to answer, apologies.
Kim has a part-time job assembling bicycles for a local store. each day, she earns $20 plus $15 for each bike assembled. kim's boss daily goal is to assemble no more than 6 bicycles a day. if x represents the number of bikes assembled, the total amount she earns can be represented by . what is the range for the function for this situation?
The range of the function represented by y = 15x + 20, where y is Kim's daily earnings and x is the number of bikes she assembles, is $20 ≤ y ≤ $110.
The range of a function is the set of values of y possible values of the dependent variable after substituting values for the independent variable(domain).
The total amount she earns can be represented by
y = 15x + 20
where y is her daily earnings and x is the number of bikes she assembles
If Kim's boss daily goal is to assemble no more than 6 bicycles a day, then the value of x will only range from 0 to 6(whole number).
domain : {x| 0 ≤ x ≤ 6}
where x is a whole number
Substituting the minimum and maximum value of x in the function.
y = 15(0) + 20 when x = 0
y = 20
y = 15(6) + 20 when x = 6
y = 110
range : $20 ≤ y ≤ $110
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one-third of a number, decreased by 36, is at most 22 find the number
Answer: x = 174, and x < 174.
Let the number be x.
Then 1/3 of the number = 1/3*x
1/3*x is decreased by 36 is the same as 1/3*x - 36
If 1/3*x - 36 is at most 22, we can write:
1/3*x - 36 is less than or equal to 22.
Therefore,
1/3*x - 36 <= 22
1/3*x - 36 = 22 (i), and 1/3*x - 36 < 22 (ii)
From (i):
1/3*x = 22 + 36 = 58, or x = 58 * 3 = 174.
From (ii):
1/3*x < 22 + 36 = 58, or x < 58 * 3 , or x < 174.
Therefore,
x = 174, and x < 174.
Barrett is looking at a building on the school grounds
which is shaped like a rectangle as shown. He knows the
building has a height of 25x feet and a width of 28x feet 25X
with a diagonal of 180 feet.
6. What is the value of x? Round your answer to the nearest hundredth. X
180
What is the height of the building? Round your answer to the nearest hundredth.
The height of the building is 120 ft.
What is Pythagoras theorem?According to Pythagoras theorem, we can write the relation between hypotenuse, base and perpendicular as -
(hypotenuse)² = (base)² + (perpendicular)²
(h)² = (b)² + (p)² ... Eq { 1 }
Given is that Barrett is looking at a building on the school grounds which is shaped like a rectangle as shown. He knows the building has a height of {25x} feet and a width of {28x} feet with a diagonal of 180 feet.
We can apply the Pythagoras theorem to the building as -
(diagonal)² = (height)² + (width)²
180 x 180 = 625x² + 784x²
32400 = 1409x²
x² = 32400/1409
x² = 23
x = 4.8 ... Eq { 1 }
Height of the building would be -
{h} = 25x = 25 x 4.8
{h} = 120 ft
Therefore, the height of the building is 120 ft.
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the product of 5.3 x 1012 and 5.12 x 109
Answer:2.7136 × 10^22
Step-by-step explanation:
5.3 x 10^12 × 5.12 x 10^9 =
= 5.3 × 5.12 × 10^12 × 10^9
= 27.136 × 10^(12 + 9)
= 27.136 × 10^21
= 2.7136 × 10^22
Answer:
5.3 x 1012= 5363
5.12 x 109= 558.08
Step-by-step explanation:
what would you write for your measurement with correct rounding? (use the center value with uncertainty format).
-22.9 g +/-048 -22.865 g +/-0.415g -22.87 +/-0.418 -23 g +/-0.48
When rounding off the measurement with the correct rounding, the center value with uncertainty format can be used. The measurement can be represented as: -22.9 g ±0.5 g.
In order to round off the measurement with correct rounding, the following steps can be followed:
Identify the digit to be rounded off. In the given measurements, the digit in the hundredth place (8 in 0.415g and 4 in 0.48g) needs to be rounded off.
Determine whether to round up or down. The rule of rounding is to round up if the digit to be removed is greater than or equal to 5, and round down if it is less than 5. The digit 8 in 0.415g is greater than 5, therefore it needs to be rounded up, while the digit 4 in 0.48g is less than 5, therefore it needs to be rounded down.
Round off the digit. If the digit is rounded up, add 1 to the digit in the place value to the left of the rounded digit. If the digit is rounded down, leave the digit in the place value to the left of the rounded digit as it is. The rounded value of 0.415g is 0.42g, and the rounded value of 0.48g is 0.5g.
Write the measurement in center value with uncertainty format. The center value with uncertainty format can be represented as:
Measurement = center value ± uncertainty
The center value is the rounded value of the measurement. The uncertainty is the difference between the center value and the nearest value on either side of it. In this case, the nearest value is the unrounded measurement. Therefore, the measurement can be represented as:-22.9 g ±0.5 g
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The sum of two numbers is -19. One number is 28 more than the other one. Find the numbers.
Answer:
-47
Step-by-step explanation:
28+ ___=-19
28+x= -19
-28 -28
_________
X= -47
28+-47= -19
The graph below shows a transformation of the shaded rectangle onto the unshaded rectangle. On a coordinate plane, a shaded rectangle is larger than the unshaded rectangle. Keesha says the transformation is a translation, but Teagan says that the transformation is a dilation. Which statement about the transformation is true? Keesha is correct because the shaded rectangle is moved vertically to make the unshaded rectangle. Keesha is correct because the shaded rectangle is flipped across a horizontal line. Teagan is correct because the unshaded rectangle is smaller than the shaded rectangle. Teagan is correct because the unshaded rectangle is turned in a clockwise direction.
Answer:
C.) Teagan is correct because the unshaded rectangle is smaller than the shaded rectangle.
Step-by-step explanation:
Teagan is correct because the unshaded rectangle is smaller than the shaded rectangle.
What is a Shaded area in a graph?In a graph showing an inequality system, shading above and below denote larger than and less than, respectively. The region's boundary should also be taken into consideration; a solid line denotes equality, while a dashed line denotes non-equality.
In geometry, a function known as translation is one that simply moves an object a predetermined distance without changing it in any way. The object must be moved with each point traveling the same distance and in the same direction. While dilation is a transformation that results in a smaller version of the original thing. A scale factor and a set location in the plane known as the center of the dilatation are needed.
So, when comparing the two shapes, dilation is the transformation. Because the unshaded rectangle is smaller than the shaded area, Teagan is correct.
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what three things should you accomplish in the process of determining the credibility of evidence
In the process of determining the credibility of evidence, three key things that should be accomplished are: evaluating the source, assessing the reliability of the information, and considering potential biases or conflicts of interest.
When assessing the credibility of evidence, it is important to first evaluate the source. This involves examining the expertise, authority, and reputation of the individual or organization providing the evidence. A credible source is one that has relevant qualifications, experience, and a history of accurate and reliable information.
Next, it is crucial to assess the reliability of the information itself. This includes examining the methods used to gather the evidence, checking for proper research methodology, and verifying that the data or facts presented are accurate and supported by valid sources. Reliable evidence is based on sound research and trustworthy data.
Lastly, it is essential to consider potential biases or conflicts of interest that may influence the evidence. This involves examining any possible motivations, affiliations, or financial interests that could introduce bias into the information being presented. Understanding the potential biases helps to evaluate the objectivity and integrity of the evidence.
By accomplishing these three tasks—evaluating the source, assessing reliability, and considering biases—the process of determining the credibility of evidence becomes more thorough and reliable, allowing for informed decision-making based on trustworthy and valid information.
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In the process of determining the credibility of evidence, there are three important tasks to accomplish:
Evaluate the source: Assessing the credibility of the source is crucial to determine the reliability of the evidence. Consider the expertise, reputation, and qualifications of the author or organization presenting the evidence. Investigate if they have a bias or potential conflicts of interest that could influence the reliability of the information. Look for reputable sources with a track record of accuracy and reliability.
Examine the methodology: Understanding the methodology used to collect or generate the evidence is essential. Evaluate whether the research design, data collection methods, and analysis techniques are appropriate and rigorous. Look for transparency in how the evidence was obtained, including the sample size, data sources, and potential limitations. A well-designed and well-executed methodology enhances the credibility of the evidence.
Consider corroboration: Corroborating the evidence with multiple independent sources can strengthen its credibility. Look for consistency and agreement among different sources or studies on the same topic. Cross-referencing information with reliable and diverse sources helps reduce the impact of potential biases and increases confidence in the evidence. Multiple sources supporting similar conclusions provide a more robust foundation for credibility.By evaluating the source, examining the methodology, and considering corroboration from multiple sources, you can make informed judgments about the credibility and reliability of the evidence.
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Em 6 cm Find the missing dimension of each figure. Round your answer to the nearest tenth. V = 100 in 5. V=252 ft . 6 ft 12 in Oso 14 ft rin eft Find the volume of each composite figure. Round your answer to the nearest tenth. 6. 6 in. 7. A cylindrical-shaped hole is cut from fab
The volume of a cylinder is given by:
\(V=h\pi r^2\)In this case the volume is 100 cubic inches and the height is 12 inches; plugging this values in the equation above and solving for r we have:
\(\begin{gathered} 100=12\pi r^2 \\ r^2=\frac{100}{12\pi} \\ r=\sqrt[]{\frac{100}{12\pi}} \\ r=1.6 \end{gathered}\)Therefore the radius is 1.6 inches.
under what circumstances do you think it works well to approximate the binomial using the normal, considering the differences?
What is Normal Approximation to the Binomial Distribution?
In certain situations, such as when X∼B(n,p) and n is large and/or p is close to 1, the normal distribution can be utilized as a rough approximation to the binomial distribution (np, npq).
You must fulfill the requirements for a binomial distribution in order to compute the normal approximation to the binomial distribution:
There are n independent trials in a certain number.Any trial's results are either success or failure.Every trial has an equal chance of being successful.Remember that X∼B(n,p) if X is the binomial random variable. The normal distribution's shape should be comparable to the shape of the binomial distribution. The values np and nq must both be greater than five (np>5 and nq>5; the approximation is better if both are greater than or equal to 10), in order to guarantee this.
Then, the normal distribution with a mean of np and a standard deviation of \(\sqrt{npq}\) can be used to approximate the binomial. Keep in mind that q=1−p. Use x+0.5 or x0.5 to add 0.5 to x or subtract 0.5 from x for the best approximation. 0.5 is referred to as the continuity correction factor.
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triangles abc and xyz are similar. the length of the sides of abc are 121 cm, 105 cm, and 98 cm. the length of the smallest side of xyz is 52 cm, what is the length of the longest side of xyz? round your answer to one decimal place.
Since triangles abc and xyz are similar, their corresponding sides are proportional.
Let's label the sides of triangle xyz as a, b, and c. We know that the smallest side of xyz (side a) is 52 cm. We need to find the length of the longest side of xyz (which we can label as side c).
We can set up a proportion to solve for c: 121/52 = 105/b = 98/c
Solving for b, we get: 121/52 = 105/b
b = (105*52)/121
b ≈ 45.6
Now we can set up a new proportion to solve for c: 121/52 = 98/c
Multiplying both sides by c, we get: 121c/52 = 98
Solving for c, we get:
c = (98*52)/121
c ≈ 42.3
Therefore, the length of the longest side of xyz is approximately 42.3 cm.
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The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?
Answer:
B. 7−10; 11−14; 15−18; 19−22
Step-by-step explanation:
Write an expression that represents the height of a tree that begins at 3 feet and increases by 2 feet per year. Let t represent the number of years.
___+___t
Answer:
3+2t
Step-by-step explanation:
help asap please!! :)
Answer:
do you still need help this was 20 hours ago lol
Step-by-step explanation:
solve sin ( 2 x ) cos ( 5 x ) − cos ( 2 x ) sin ( 5 x ) = − 0.35 for the smallest positive solution.
The smallest positive solution for the given equation is x ≈ 0.121 radians.
To solve the equation sin(2x)cos(5x) - cos(2x)sin(5x) = -0.35 for the smallest positive solution, we can use the following steps:
Step 1: Use the angle subtraction formula for sine.
The given equation can be written using the angle subtraction formula: sin(A - B) = sin(A)cos(B) - cos(A)sin(B).
Therefore, the equation becomes sin(2x - 5x) = -0.35.
Step 2: Simplify the equation.
Simplify the equation to sin(-3x) = -0.35.
Step 3: Use the property sin(-x) = -sin(x).
Applying this property, we get sin(3x) = 0.35.
Step 4: Find the value of 3x using the arcsin function.
To find the value of 3x, take the inverse sine (arcsin) of both sides: 3x = arcsin(0.35).
Step 5: Solve for x.
Divide both sides of the equation by 3 to find x: x = (arcsin(0.35))/3.
Using a calculator, we find that x ≈ 0.121 radians. This is the smallest positive solution for the given equation.
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A shipping box has the dimensions shown what is the volume of the box in cubic yards? 1-4 yard 1-4 yard 1-2 yard
The required picture is attached below :
Answer:
1 /32 yard³
Step-by-step explanation:
The volume of box can be obtained using the relation :
V = length * width * height
Length = 1/4 yards
Width = 1/2 yards
Height = 1/4 yards
Hence,
Volume (V) = 1/4 yards * 1/2 yards * 1/4 yards
Volume (V) = (1/4 * 1/2 * 1/4)(yard³)
Volume (V) = 1 / 32 yard³
Help please i dint get it pls answer
Answer: 7%
(Hope this is right.)
Step-by-step explanation:
Let's solve this using the information we have and an equation.
Shane: $32,000 - (Given)
Theresa: 18,000+14x, if x=1,160 - (Given)
---------------------------------------------------------------
Step two: (Theresa) 14(1,160) =16,240 (Algebra)
Step three: (Theresa) 18,000+16,240=34,240 (Algebra, given.) - cost of Theresa's car.
---------------------------------------------------------------
Finally,
They're asking for how much more she paid for her car as a percentage of what Shane paid.
34,240-32,000=2,240 and
2,240/32,000=0.07
0.07x100=7
Answer 7% more than what Shane paid.
Write the equation of the line perpendicular to y=4x+2 and passes though the point (1,1).
Answer:y=-1/4x+5/4
Step-by-step explanation:
Perpendicular means the slope has to be the negative reciprocal.
Since the slope is currently 4, the perpendicular slope is -1/4.
It also has to pass through the point 1,1 , so you just plug x in which will be
1*-1/4=-1/4. from 1 to -1/4, its 5/4, so that's your b in y = mx+b
The equation will then be y=-1/4x+5/4
The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time.
The price f(x), in dollars, of product A after x years is represented by the function below:
f(x) = 0.69(1.04)x
Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the price f(t), in dollars, of product B after t years:
t (number of years) 1 2 3 4
f(t) (price in dollars) 10,100 10,605 11,135.25 11,692.02
Which product recorded a greater percentage change in price over the previous year? Justify your answer.
Products' costs may go up due to inflation or down due to depreciation. Marco is researching how the costs of two goods, A and B, have changed over time.f(x) = 12500(0.82)x
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
We typically use this technique for math calculations. This approach will be helpful to you when tackling problems involving ratio and proportion, algebra, geometry, etc.
We are able to locate the missing value using the unitary method.
The value of many things is provided in the unitary method, and we must either determine the value of more or fewer things.
To do that, we must first determine the value of one object by division before determining the value of additional or fewer items
Hence, The price f(x), in dollars, of product A after x years is represented by the function below.
f(x) = 12500(0.82)x
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URGENT
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = 10,000 in.
Answer:
h=39
Step-by-step explanation
V = \(\pi\)r^(2) h
V = 10,000\(\pi\)
radius = diameter / 2
diameter = 32
radius = 32/2
radius = 16
10,000\(\pi\)=\(\pi\)(16)^(2)(h)
Simplify by dividing \(\pi\) from both sides and evaluating 16^2
10,000=256h
Simplify again by dividing 256 from both sides to isolate h.
39.06 = h
Round to the nearest whole number:
39 inches.