Answer:
hkfgyjfjyfj685
Step-by-step explanation:
rdytesrghd
(Select one) DO,2 of Y is:
(3/2, 1)
(5, 4)
(6, 4)
Answer:
I believe the answer is (6,4)
Step-by-step explanation:
When dialating a shape you have to multiply both coordinates.
In this case we are given the knowledge that the new image will be a dilation of 2 (DO,2)
So we have to multiply the coordinates of y (3,2) by 2 which gives us the answer of (6,4)
Hope this makes sense
ronmertiss eont (in Ri)" ℏn)= unta A+ ceestration wat (in e)? (C) Toos the tamala for h in terra ste. tre.l Chatrution one (ln t)? taropless tewe folsohes parta. centet (t) Sthe dowse. ecratudion eoec (in ∗) ? crevilure the fellowher parte. fr∣= tani. A pencil cup with a capacity of 36 in. 3 is to be constructed in the shape of a right circular cylinder with an open top. If the material far the sides costs 29 t/in. 2 and the material for the base costs 49cin22, what should the radius of the base of the cup be to minimize the construction cost (in $ )? Let r and h (in in.) be the radius and height of the pencil cup, respectively. in. (Round your answer to two decimal places, if necessary,) Complete the following parts. (a) Give a function f in the variable ofor the quantity to be optimized. f(r)= cents (b) State the domain of this function. (Enter your answer using interval notation.) (c) Give the formula for h in terms of r. h= (d) To determine the optimal value of the function f, we need the eritical numbers of (e) These critical numbers are as follows. (Round your answer(s) to two decimal places, if necessary. If a critical number is an endpoint of the domain, do NOT include it in your answer. Enter your answers as a comma-segarated list. If an answer does not exlst, enter DNE.) r=
A pencil cup with a capacity of 36 .The function f(r) can be defined as :f(r) = cost of sides + cost of base
To minimize the construction cost of the pencil cup, we need to find the optimal value for the radius of the base (r). Let's complete the different parts of the problem step by step:
(a) We want to find a function f in terms of r that represents the cost of constructing the pencil cup. The cost consists of two components: the cost of the sides and the cost of the base. The cost of the sides is determined by the circumference (C) of the base, while the cost of the base is determined by the area (A) of the base. Therefore, the function f(r) can be defined as:
f(r) = cost of sides + cost of base
(b) The domain of the function f(r) is the set of possible values for the radius (r). Since r represents the radius of the base, it must be a positive value. Therefore, the domain can be expressed as:
Domain: r > 0
(c) To determine the height (h) of the pencil cup in terms of r, we need to consider that the cup is a right circular cylinder. The height is simply the variable h.
h = h
(d) To find the optimal value of f(r), we need to find the critical numbers of the function. In this case, we want to minimize the construction cost, so we are looking for the minimum of the function. Therefore, we need to find where the derivative of f(r) is equal to zero or does not exist.
(e) The critical numbers will help us identify where the minimum occurs. Unfortunately, the problem statement doesn't provide enough information to determine the critical numbers. It is missing the specific equations for the cost of the sides and the cost of the base, as well as their relationship to the radius and height of the cup.
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Perfect Pizza has 15 toppings listed on their menu. How many ways could a customer choose a pizza that contains 3 different toppings?
If adding only twelve, you must leave out three of the fifteen, and the number of ways is = 15! / (3! * 12!).
1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12∗13∗14∗15 over
(1∗2∗3)∗(1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12) =
13∗14∗15 over
(1∗2∗3)
27306 = 455
Answer: If all toppings are distinct, then you have C 4 15 combinations. If there are three distinct toppings, you have 3 ⋅ C 3 15 combinations (because we have C 3 15 choices for toppings and then 3 choices for which of those three toppings is doubled).
Step-by-step explanation:
If you are asked on a quiz to give the first (leftmost) nonzero digit of the Avogadro constant and, not knowing the answer, you make a random guess, what is the probability that your answer is the correct answer of 6?
The probability of randomly guessing the correct answer of 6 is 1/10, which is equal to 0.1 or 10%.
If you are asked to provide the first (leftmost) nonzero digit of the Avogadro constant and you have no prior knowledge, making a random guess leaves you with a 1 in 10 chance of guessing correctly.
Since there are ten possible digits (0-9) to choose from, each digit has an equal probability of being the correct answer.
Therefore, the probability of guessing the correct answer of 6 is 1 out of 10, which can be expressed as a fraction: 1/10. In decimal form, this is 0.1 or 10% as a percentage.
It's important to note that in a scenario where you lack any information or clues regarding the Avogadro constant, your random guess has an equal chance of being any of the digits.
Hence, the probability of guessing the specific correct digit of 6 is 1/10, regardless of the context or the nature of the question.
The Avogadro constant is a physical constant with a well-defined value, which is approximately 6.02214076 × 10^23 mol⁻¹. The first (leftmost) nonzero digit of this constant is 6.
If you make a random guess without any prior knowledge, the probability of guessing the correct answer of 6 is 1 out of 10 possible digits (0-9), since there are ten digits in the decimal system. Therefore, the probability of randomly guessing the correct answer of 6 is 1/10, which is equal to 0.1 or 10%.
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in a classroom at time t = 0, a sphere is thrown upward at a 45 angle to the horizontal at time while the sphere is still rising it bounces off the ceiling elastically
A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising
At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.
During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.
Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.
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A carter wants to have enough turkey to feed 24 people if he wants to provide 3/4 of a pound of turkey for each person how much turkey does he need
To serve 24 people with turkey, carter need to spend around 18 pounds for it when he needs to pay three quarter for each.
Carter need to serve turkey for a total of 24 members. He wants to provide three quarter of a pound of turkey for each person.
Now, we need to calculate for total members attending the event.
Calculation for total amount of turkey = Total members * Amount for each person the to be needed
Total amount of turkey = Members x Amount per person
Total amount of turkey = 24*(3/4)
Total amount of turkey= 6*3
Total amount of turkey=18
Therefore, 18 pounds of Total amount of turkey is needed to serve the total number of 24 people. In that way carter can have enough turkey to feed every one in the group who are attending the event.
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Which graph shows the solution to the inequality –0.5x ≤ 7.5? A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded. A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the left of the circle is shaded. A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the right of the circle is shaded. A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the left of the circle is shaded.
Answer:
its definetely A.
Step-by-step explanation:
i got it right on my assignment
Option B is correct that is a closed circle is at negative 15. Everything to the right of the circle is shaded.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.
The solution to the inequality –0.5x ≤ 7.5 a closed circle is at negative 15 and everything to the right of the circle is shaded. The graph of the inequality is attached with the answer.
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An equilateral triangle is similar to a scalene triangle.1) Always2) never3) sometimes
Option 3) Sometimes is the correct answer, Sometimes an equilateral triangle is similar to a scalene triangle.
If the respective sides are proportional and the corresponding angles are congruent, two triangles are comparable. An equilateral triangle has three congruent sides and three congruent angles, so any triangle that is similar to an equilateral triangle must also have three congruent angles. However, a scalene triangle has no congruent sides and no congruent angles, so it is possible for a scalene triangle to be similar to an equilateral triangle only if it has the same angle measurements as an equilateral triangle, but with different side lengths. Therefore, a scalene triangle can be similar to an equilateral triangle, but it is not always the case.
In general, if two triangles are similar, it means that they have the same shape but possibly different sizes. In the case of an equilateral triangle and a scalene triangle, if they are similar, then it means that the scalene triangle has the same angles as the equilateral triangle, but its sides are of different lengths. So it is possible for a scalene triangle to be similar to an equilateral triangle, but not in all cases.
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life exists elswhere within 4% of the real answer with 95% confidence? past data indicate that 30% of the general population holds this belief
Based on the past data indicating that 30% of the general population holds the belief that life exists elsewhere within 4% of the real answer, we can use statistical analysis to determine the level of confidence we can have in this statement.
With a 95% confidence level, we can say that there is a high likelihood that this belief is true within a margin of error of 4%. In other words, we can be 95% confident that the true percentage of people who believe that life exists elsewhere within 4% of the real answer falls somewhere between 26% and 34%.
Based on the information provided, it seems that 30% of the general population believes that life exists elsewhere in the universe. There is a 95% confidence level that the true percentage of people holding this belief is within 4% of the given 30% estimate. This means that the actual percentage of people with this belief likely falls between 26% and 34%.
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When I was 4 years old my sister was half of my age.Now I am 100 years. How old is my sister?
Answer:
when you 4, your sister is 2 years old
now that you 100, your sister should be 50 years old
half equal x/2 x indicates 100
What is sextillion divided by nonmillion times 10,000 minus 200 million plus 5000.
The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
Define the term expression?A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.
First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.
Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.
Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.
Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.
Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
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A cylindrical drum is 20m tall and has the inner diameter of 30m. How many liters of water can be stored in it ?
Answer:
14137167 liters approximately
Step-by-step explanation:
Total Volume of a cylinder
V = π R² H
where R - base radius
H = height
Given diameter of base = 30m, base radius R = 30/2 = 15
H = 20m
Volume = π x 15² x 20 = 4500π m³ = 14,137.16694 m³
Since 1 m³ = 1000 liters
this works out to 14137.16694 x 1000 ≈ 14137167 liters
I need help for my class
Answer:
D
Step-by-step explanation:
A snail travels 48 inches per hour. Choose all the metric measures that are faster than 48 inches per hour
The value of 48 inches/hour is 121.92 centimetres/hour.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
To compare the speed of 48 inches per hour with metric measures, we need to convert inches to metric units. One way to do this is to use the conversion factor of 1 inch = 2.54 centimetres.
48 inches per hour is equivalent to:
48 inches/hour x 2.54 centimeters/inch = 121.92 centimeters/hour
To find all the metric measures that are faster than 48 inches per hour, we can convert 121.92 centimetres/hour to other units of measure. Here are some options:
1.2192 meters/hour: This is faster than 121.92 centimetres/hour because 1 meter = 100 centimetres.
0.0759 miles/hour: This is faster than 48 inches/hour because 1 mile = 63,360 inches.
Therefore, the metric measures that are faster than 48 inches per hour are 1.2192 meters/hour, 0.0759 miles/hour, and 0.042 knots.
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find the acute angle between the lines. round your answer to the nearest degree. 2x − y = 3, 6x y = 9
The acute angle between the lines is approximately 37 degrees.
To find the acute angle between the lines given by the equations 2x - y = 3 and 6x + y = 9, we can compare the slopes of the lines.
The slope-intercept form of a line is y = mx + b, where m is the slope. By rearranging the given equations into this form, we can determine the slopes.
For the first equation, 2x - y = 3, we can rewrite it as y = 2x - 3. The slope of this line is 2.
For the second equation, 6x + y = 9, we can rewrite it as y = -6x + 9. The slope of this line is -6.
To find the acute angle between the lines, we can use the formula:
angle = arctan(|m1 - m2| / (1 + m1 * m2))
Plugging in the slopes:
angle = arctan(|2 - (-6)| / (1 + 2 * (-6)))
Simplifying the expression:
angle = arctan(8 / (-11))
Using a calculator or trigonometric tables, we can find:
angle ≈ -37.15 degrees
Since we are looking for the acute angle, we take the absolute value of the result:
acute angle ≈ 37 degrees
Therefore, the acute angle between the lines is approximately 37 degrees.
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If the mean of a normal distribution is negative, Group of answer choices the variance must also be negative. none of these alternatives is correct. a mistake has been made in the computations, because the mean of a normal distribution cannot be negative. the standard deviation must also be negative.
The main answer to the question is: None of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative. The explanation to support the answer is given below:
Normal distribution is a statistical distribution that depicts how values are dispersed in a dataset. It is also known as Gaussian distribution or bell curve because of its bell-shaped pattern. It is described by two parameters, i.e., mean and standard deviation.The mean of a normal distribution specifies the location of the center of the distribution. The variance of a normal distribution indicates the amount of variation from the mean. Variance is always positive, no matter whether the mean is positive or negative.
Therefore, if the mean of a normal distribution is negative, the variance must not be negative.Hence, none of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative.
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A local church has a total population consisting of 480 adult members. The church's administrators would like to estimate the average weekly donation per member per week. A random sample of 65 members was found to have an average donation of $50.40. Further, the population standard deviation is $12.30. The 95% confidence interval to estimate the average weekly donation is ________. Hint: don't forget the finite population correction factor.
The 95% confidence interval to estimate the average weekly donation per member is approximately $47.42 to $53.38.
To calculate the 95% confidence interval for the average weekly donation per member, we can use the following formula:
Confidence interval = Sample mean ± (Critical value) × (Population standard deviation / √(Sample size))
First, we need to determine the critical value corresponding to a 95% confidence level. Since the sample size is relatively large (n > 30), we can use the Z-distribution. The critical value for a 95% confidence level is approximately 1.96.
Next, we can substitute the given values into the formula:
Sample mean = $50.40
Population standard deviation = $12.30
Sample size = 65
Using these values, we can calculate the confidence interval:
Confidence interval = $50.40 ± (1.96) × ($12.30 / √(65))
Calculating the value inside the parentheses:
($12.30 / √(65)) ≈ $1.52
Substituting this value into the formula:
Confidence interval = $50.40 ± (1.96) × $1.52
Calculating the values outside the parentheses:
$1.96 × $1.52 ≈ $2.98
Substituting this value into the formula:
Confidence interval ≈ $50.40 ± $2.98
Therefore, the 95% confidence interval is $47.42 to $53.38.
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find the last two digits of $9^{8^7}$. (by convention, exponent towers are evaluated from the top down, so $9^{8^7}
The last two digits of $9^{8^7}$ are 21.
To find the last two digits of $9^{8^7}$, we need to evaluate the exponent power from the top down. Let's start by finding $8^7$.
To find the last two digits of $8^7$, we can look for a pattern.
$8^1 = 08$
$8^2 = 64$
$8^3 = 52$
$8^4 = 16$
$8^5 = 28$
$8^6 = 24$
$8^7 = 92$
Now, we have $9^{8^7}$.
To find the last two digits of $9^{8^7}$, we can again look for a pattern.
$9^1 = 09$
$9^2 = 81$
$9^3 = 29$
$9^4 = 61$
$9^5 = 49$
$9^6 = 41$
$9^7 = 69$
$9^8 = 21$
$9^9 = 89$
$9^{10} = 01$
As we can see, the last two digits of the powers of 9 repeat in a cycle of 10. Since $8^7$ is a multiple of 4, the last two digits of $9^{8^7}$ will be the same as $9^8$, which is 21.
Therefore, the last two digits of $9^{8^7}$ are 21.
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Find the missing angle!
Answer:
missing angle = 70 degrees
Step-by-step explanation:
180 -120 =60, because supplemenatery angles add up to 180 degrees.
sum of all angles of a triangle = 180. so 180-60-50=70 degrees
Answer:
? = 70°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
120° is an exterior angle of the triangle, then
? + 50° = 120° ( subtract 50° from both sides )
? = 70°
Find the area of the figure. A composite figure made of a triangle, a square, and a semicircle. The diameter and base measure of the circle and triangle respectively is 6 feet. The triangle has a height of 3 feet. The square has sides measuring 2 feet. area: ft²
The total area of the figure in this problem is given as follows:
41.3 ft².
How to obtain the area of the composite figure?The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.
The figure in this problem is composed as follows:
Triangle of base 6 feet and height 3 feet.Semicircle of radius 3 feet.Square of side length 2 feet.Then the area of the triangle is given as follows:
At = 0.5 x 6 x 3 = 9 ft².
The area of the semicircle is given as follows:
Ac = π x 3² = 28.3 ft².
The area of the square is given as follows:
As = 2² = 4 ft².
Then the total area of the figure is given as follows:
9 + 28.3 + 4 = 41.3 ft².
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a group has 12 men and 4 women. 3 people are selected and randrom from the group. what is the probability that they are all women
The probability that all three selected people are women is 1/140.
The probability that all three selected people are women can be calculated using the formula for combinations.
First, we need to find the total number of possible combinations of 3 people from the group of 16:
16C3 = 16! / (3! * (16 - 3)!) = 560
Next, we need to find the number of possible combinations of 3 women from the group of 4:
4C3 = 4! / (3! * (4 - 3)!) = 4
Finally, we can find the probability by dividing the number of desired combinations by the total number of possible combinations:
P(3 women) = 4 / 560 = 1 / 140
Therefore, the probability that all three selected people are women is 1/140.
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if 2/3 of an apple is split among 4 people, how much of the apple did each person receive.
Answer:
2/12
Step-by-step explanation:
2/3 x 1/4 = 2/12
2/12 you need to convert and them divide
The area of a poster board is (x2 + 3x − 10) square inches. Find the dimensions of the poster board if x = 16. The dimensions of the poster board are
Answer:
16x2+16x3-10=w
32+48-10
80-10=
70
a two digit number is such that the product of its digits is 20. if 9 is added to the number the digits interchange their places. find the number.
Answer: 45
Step-by-step explanation:
The cost of 7 chairs and 2 tables is equal.If the cost of 6 chairs and 5 tables is 10575, find the cost of 12 chairs.
Answer:
5400
Step-by-step explanation:
Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:
7x=2y
6x+5y=10575
We can solve this system using substitution.
Start by rewriting the first equation in terms of x.
\(7x=2y\\\text{Divide both sides by 7}\\x=\frac{2}{7}y\)
Substitute this into the second equation:
\(6(\frac{2}{7}y)+5y=10575\\\frac{12}{7}y+5y+10575\\\frac{12}{7}y+\frac{35}{7}y=10575\\\frac{47}{7}y=10575\)
Multiply both sides by 7
\(47y=74025\)
Divide both sides by 47
\(y=1575\)
This means...
\(7x=2(1575)\\7x=3150\)
Divide both sides by 7
\(x=450\)
One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.
\(450*12=5400\)
12 chairs cost 5400.
Let p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1562 adults from country A, 316 said that they were not confident that the food they eat in country A is safe. The point estimate for p, p^ is ? The point estimate for q, q^ is ?
For a sample of adults from country A, related to their unconfident that the food they eat in country A is safe, the point estimate of population proportions p and q are equals 0.202 and 0.798 respectively.
One sample proportion test is conducted to check whether the population proportion (P) shows a significant difference from the hypothesized value (p)or not. Sample proportion
\((\hat p)\) can be defined as the ratio of number of successes in the sample and the size of the sample. We have a sample survey of 1562 adults from country A, in which, 316 were not confident that the food they eat in country A is safe.
So, Sample size (n)= 1562
The number of successes (x) = 316
Let's consider X be the number of adults that were not confident with the food that they eat in country A is safe. The point estimate of the population proportion (p) is written as below,
\(\hat p=\frac{x}{n}\) \( = \frac{316}{1562}\)
= 0.2023047
≈ 0.202
Therefore, the point estimate of the population proportion is 0.202. The point estimate for q is \(\hat q = 1 - \hat p\) = 1 -0.202
= 0.797695 ≈ 0.798
Therefore, the point estimate for q is 0.798.
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For a sample of adults from country A, related to their unconfident that the food they eat in country A is safe, the point estimate of population proportions p and q are equals 0.202 and 0.798 respectively.
One sample proportion test is conducted to check whether the population proportion (P) shows a significant difference from the hypothesized value (p)or not. Sample proportion
can be defined as the ratio of number of successes in the sample and the size of the sample. We have a sample survey of 1562 adults from country A, in which, 316 were not confident that the food they eat in country A is safe.
So, Sample size (n)= 1562
The number of successes (x) = 316
Let's consider X be the number of adults that were not confident with the food that they eat in country A is safe. The point estimate of the population proportion (p) is written as below,
= 0.2023047
≈ 0.202
Therefore, the point estimate of the population proportion is 0.202. The point estimate for q is = 1 -0.202
= 0.797695 ≈ 0.798
Therefore, the point estimate for q is 0.798.
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Use the euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value of $x$. state your answer as a list with $x$ first and $y$ second, separated by a comma.
Well, let's use the Euclidean algorithm:
164 = 4×37 + 16
37 = 2×16 + 5
16 = 3×5 + 1
Then working backwards,
1 = 16 - 3×5
1 = 16 - 3×(37 - 2×16) = 7×16 - 3×37
1 = 7×(164 - 4×37) - 3×37 = 7×164 - 31×37
so that x = 7 and y = -31.
where is the center of the face of the cube?
The center of the face of a cube is the midpoint of the face and lies along the line that runs between the opposite vertices of the face.
Where is the center of the face of a cube?This is the point of intersection of the two diagonals in a face. In other words, it is the point that is equidistant from all four corners of the face.
To visualize this, imagine dividing the face into four equal triangles by drawing lines from each corner to the center. The center of the face is at the intersection of these lines.
In three-dimensional space, the center of the face of a cube is also the center of the cube itself, as all faces of a cube are congruent (the same shape and size) and meet at the center of the cube.
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What is the x-intercept of the graphed line?
−2
0
1
2
Answer:
0
Step-by-step explanation:
the x-intercept is 0 because the line intercepts the x axis at the point (0,0) so the x-intercept is 0.
What expression represents the length of one side of the square? 1+2x+x^2
Answer:
side length = x +1
Step-by-step explanation:
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