Answer:
i think it is B
Step-by-step explanation:
i am not 100% sure
Answer:
B.
Step-by-step explanation:
-10 = -5 (v-4)
-10=-5v+20
-30=-5v
6=v
Given triangle ABC, let A' be the point 1/3 of the way from B to C, as shown. Similarly, B' is the point 1/3 of the way from C to A, and C' is the point 1/3 of the way from A to B In this way, we have constructed a new triangle starting with an arbitrary triangle. Now apply the same procedure to triangle A'B'C', thereby creating triangle A"B"C". Show that the sides of triangle A"B"C" are parallel to the (appropriate) sides of triangle ABC. What fraction of the area of triangle ABC is the area of triangle A"B"C"?
The area of triangle A"B"C" is 1/9 of the area of triangle ABC.
In this problem, we are given a triangle ABC and asked to construct a new triangle A'B'C' by taking points on each side of the original triangle such that they divide the sides into thirds. We then repeat this process to create another triangle A"B"C" using points on the sides of A'B'C'. The objective is to show that the sides of triangle A"B"C" are parallel to the corresponding sides of triangle ABC. Additionally, we need to determine the fraction of the area of triangle ABC that is occupied by triangle A"B"C".
Let's start by examining triangle ABC and the construction of triangle A'B'C'. We are given that point A' is located one-third of the way from point B to point C. This means that the distance from B to A' is one-third of the distance from B to C. We can express this mathematically as AB' = (1/3)BC. Similarly, we can determine the other side lengths of triangle A'B'C' as BC' = (1/3)CA and CA' = (1/3)AB.
To demonstrate that the sides of triangle A"B"C" are parallel to the corresponding sides of triangle ABC, we need to show that the ratios of the side lengths are equal. Let's consider one side as an example. We know that AB' = (1/3)BC in triangle A'B'C'. Now, let's examine the corresponding side in triangle A"B"C". Denote the side length in triangle A"B"C" as A"B''. Using a similar logic, we can express A"B'' as (1/3)B"C".
To compare the ratios, we can set up a proportion:
AB' / BC = A"B'' / B"C"
Substituting the values we obtained earlier:
(1/3)BC / BC = (1/3)B"C" / B"C"
Simplifying the equation, we find:
1/3 = 1/3
Since the ratio of the side lengths is the same for all corresponding sides, we can conclude that the sides of triangle A"B"C" are parallel to the sides of triangle ABC.
Now, let's determine the fraction of the area of triangle ABC that is occupied by triangle A"B"C". Since triangle A"B"C" is created by taking one-third of each side length of triangle A'B'C', we can conclude that the ratio of their areas will be the square of the ratio of their side lengths.
The ratio of the side lengths is 1/3, so the ratio of the areas will be (1/3)^2 = 1/9.
Therefore, the area of triangle A"B"C" is 1/9 of the area of triangle ABC.
In summary, we have shown that the sides of triangle A"B"C" are parallel to the sides of triangle ABC, and the area of triangle A"B"C" is 1/9 of the area of triangle ABC.
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Please show work! Have test tomorrow and stuck, btw thank you! :)
Answer:
73
Step-by-step explanation:
8² + ( 7 - 4 )² = 64 + 3² = 64 + 9 = 73
Answer:
73
Step by-step explanation:
I dont know how to explain it I just put it into a calculator
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a function is continuous at a point, then it is differentiable at that point.
Answer:
See Explanation
Step-by-step explanation:
If a Function is differentiable at a point c, it is also continuous at that point.
but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.
the function must have one and only one tangent at x=cthe fore mentioned tangent cannot be a vertical line.And
If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.
For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.What is the discount of a guitar with an original price of $95 and a discount of 15%.
Answer:
$80.75 dollars
Step-by-step explanation:
Given the following question:
Initial price = $95
15% discount
In order to find the answer, we have to find 15% of 95.
\(\frac{15\times95}{100} =15\times95=1425\div100=14.25\)
\(95-14.25=80.75\)
\(g=80.75\)
The guitar (after a 15% discount) costs "$80.75 dollars."
Hope this helps.
Answer need ASAP
Add -3 1/6 + 5 3/4 and write it as a reduced mixed number
-3 1/6 + 5 3/4 = ?
Answer: 2 5/6 I think.
Wait no. I just did the math and it would be 2 1/2
a rectangular table can be detrimental by emphasizing status differences between learners. group of answer choices true false
The statement "a rectangular table can be detrimental by emphasizing status differences between learners" is true.
Rectangular tables, unlike round or oval tables, can make it difficult for all learners to be equal since rectangular tables often have a head or primary position.
Therefore, the person who is sitting in the primary position can quickly become the central focus of the group, causing other members to feel inferior. This is particularly important for learners in a classroom environment, where creating a sense of equality and encouraging everyone to participate and share ideas is crucial.
Learners might feel isolated or overlooked when seated around a rectangular table, particularly if they are at the end of the table or farther from the primary position. This can have an impact on their self-confidence and participation in group activities, as well as their capacity to learn.
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The cylinder and the cone have the same volume. What is the height of the cone?
Answer: \(h = \frac{3}{4}y\) is the cone's height.
==================================================
Work Shown:
Let's set up each volume equation.
\(\text{VL} = \text{volume of cylinder}\\\\\text{VL} = \pi*r^2*h\\\\\text{VL} = \pi*x^2*y\\\\\)
\(\text{VC} = \text{volume of cone}\\\\\text{VC} = \frac{1}{3}*\pi*r^2*h\\\\\text{VC} = \frac{1}{3}*\pi*(2x)^2*h\\\\\text{VC} = \frac{4}{3}\pi x^2*h\\\\\)
Then we're told that VL and VC are the same value. Let's equate the right hand sides and solve for h.
\(\text{VL} = \text{VC}\\\\\pi x^2y = \frac{4}{3}\pi x^2 h\\\\x^2y = \frac{4}{3}x^2 h\\\\3x^2y = 4x^2 h\\\\h = \frac{3x^2y}{4x^2}\\\\h = \frac{3y}{4}\\\\h = \frac{3}{4}y\\\\\)
Answer:
3y
Step-by-step explanation:
\(\boxed{\begin{minipage}{4 cm}\underline{Volume of a cylinder}\\\\$V=\pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $(r)$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}\) \(\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $(r)$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}\)
Given dimensions of the cylinder:
r = xh = yTherefore, the equation for the volume of the cylinder is:
\(\implies V_{\sf cylinder}=\pi x^2y\)
Given dimensions of the cone:
diameter of base = 2x ⇒ r = xh = ?Therefore, the equation for the volume of the cone is:
\(\implies V_{\sf cone}=\dfrac{1}{3} \pi x^2 h\)
As the cylinder and the cone have the same volume, substitute the equation for the volume of the cylinder into the equation for the volume of the cone an solve for h:
\(\begin{aligned}V_{\sf cylinder}&=V_{\sf cone}\\\implies \pi x^2 y&=\dfrac{1}{3} \pi x^2 h\\y&=\dfrac{1}{3} h\\3y&=h\\h&=3y\end{aligned}\)
Therefore, the height of the cone is 3y.
T
Beth and Noat shared a bow of chocolates. The models are shaded to show the fraction of the so
of chocolates each of them ate
O
What fraction of the box of chocolates did Seth and to eat together? What faction of the so
Move the coned answer to each sox. Each awer may se ned more that once it all awes
will be used
2
Fraction
Celen
5
8
12
Fraction
Left Over
Fractions are referred to as the components of a whole in mathematics. A single object or a collection of objects might be the entire. 1/2 is the fraction of the box of chocolates did Seth and to eat together.
Fractions are referred to as the components of a whole in mathematics. A single object or a collection of objects might be the entire. If we cut a piece of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Latin. "Fractus" means "broken" in Latin. The fraction was expressed verbally in earlier times. It was afterwards presented in numerical form. 1/2 is the fraction of the box of chocolates did Seth and to eat together.
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WILL GIVE BRAINLIEST The solution to 12x = 36 is x =___. (Only input whole number)
Answer:
3
Step-by-step explanation:
12 x 3 = 36
Answer: if im not wrong it is 3 the other person who already answered is correct
Step-by-step explanation:
In the data set below, what is the mean absolute deviation?
8 4 2 3 6
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD):
The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
We have,
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:
mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6
Next, we calculate the deviation of each data point from the mean:
|4 - 6.6| = 2.6
|5 - 6.6| = 1.6
|7 - 6.6| = 0.4
|9 - 6.6| = 2.4
|8 - 6.6| = 1.4
Then we find the average of these deviations, which gives us the mean absolute deviation:
MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6
Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
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A water tank contains 12 1/2 ltres of water. Two-fifth of it was (1 mark) consumed. How much of it was left?
Answer:
7 1/2
Step-by-step explanation:
A water tank contains 12 1/2 liters
= 25/2
Two fifth of it was consumedd
= 25/2 ×2/5
= 50/10
= 5
12.5-5
= 7.5
= 7 1/2
In quadrilateral BADC, AB=AD and BC=DC. Which of the following contains only true statements?
Answer:
abad
Step-by-step explanation:
write the slope-intercept form of the equation of a line passing through the following two points: (-3, 7) & (6, -5)
In order to find equation, first find slope:
\(\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1} \quad where \ (x_1, y_1) , \ (x_2, y_2) \ are \ points\)
Given points: (-3, 7) and (6, -5)
\(\rightarrow \sf slope : \dfrac{-5-7}{6-(-3)} =-\dfrac{4}{3}\)
Equation:
\(\sf y- y_1 = m(x - x_1)\)
insert values
\(\rightarrow \sf y - 7 = -\dfrac{4}{3} (x -(-3))\)
\(\rightarrow \sf y = -\dfrac{4}{3} x - 4 +7\)
\(\rightarrow \sf y = -\dfrac{4}{3} x +3\)
what is the approximate distribution of the sample mean copper content if we sample 16 pads? include the mean and standard error of this distribution.
a) Approximately 29.50% of brake pads will contain less than 32.5% copper. b) The approximate distribution of the sample mean copper percentage is a normal distribution with mean 34 and standard error 0.7.
a)To solve this problem, we can use the z-score formula to standardize the value of 32.5 using the mean and standard deviation given:
z = (x - μ) / σ
where x is the value we are interested in (32.5), μ is the mean (34), and σ is the standard deviation (2.8).
Substituting these values, we get:
z = (32.5 - 34) / 2.8 = -0.536
Using a standard normal distribution table or calculator, we can find the probability of a z-score less than -0.536, which is approximately 0.2950 or 29.50%. Therefore, approximately 29.50% of brake pads will contain less than 32.5% copper.
b) The sample mean copper percentage of 16 pads will also follow an approximate normal distribution with mean μ = 34 and standard deviation σ/√n = 2.8/√16 = 0.7, where n is the sample size.
Therefore, the approximate distribution of the sample mean copper percentage can be expressed as:
X ~ N(34, 0.7)
where X is the sample mean copper percentage.
The mean of this distribution is equal to the population mean μ, which is 34. The standard error of the mean (also known as the standard deviation of the sampling distribution) is given by σ/√n, which is 0.7 in this case.
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Your question is incomplete, but probably the complete question is :
Assume the distribution of copper content (%) in sintered brake pads follows an approximate normal distribution with a mean of 34 and a standard deviation of 2.8
a.) What percentage of brake pads will contain less than 32.5% copper?
b.) What is the approximate distribution of the sample mean copper percentage if we sample 16 pads? Include the mean and standard error of this distribution
Debra drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Debra drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Debra live from the mountains?
Do not do any rounding.
Answer:
90 Miles I think
Step-by-step explanation:
40/4=10
10x9=90
If the diagonal of a rhombus is ( x- 4d) and ( x+ 4d) then find the area of rhombus
If the diagonal of a rhombus id x-4d and x+ 4d then the area of rhombus is (x² - 16d²) / 4 unit²
In a rhombus, the diagonals are perpendicular bisectors of each other, and they divide the rhombus into four congruent right triangles. Let's call the length of one half of the diagonal "a" and the length of the other half of the diagonal "b". So we have:
a = (x - 4d) / 2
b = (x + 4d) / 2
The area of a rhombus can be calculated as half the product of its diagonals, or as half the product of its side lengths:
Area = (1/2) × a × b × 2
Area = a × b
Substituting the expressions for "a" and "b" from above, we get:
Area = [(x - 4d) / 2] × [(x + 4d) / 2]
Area = (x² - 16d²) / 4
Therefore, the area of the rhombus is (x² - 16d²) / 4 square units.
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Mica, a minor, signs a contract to pay National Health Club a monthly fee for twenty-four months to use its facilities. Six months later, after reaching the age of majority, Mica continues to use the club. This act is
Mica, a minor, signs a contract to pay National Fitness Club a monthly fee for twenty-four months to use its facilities. Six months later, after reaching the age of majority, Mica continues to use the club. This act is ratification.
What is ratificationMica's consistent utilization of the club's amenities and covering the monthly expense as an adult is, in essence, an acknowledgment and acknowledgment of the agreement that was initially established when they were underage.
Also, if a contract is made with a person under the age of majority, it is deemed as voidable, which implies that the minor can choose to nullify or terminate the contract without incurring any legal obligations.
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Tony performs a dilation on Figure R. He uses a scale factor of 4 with a center of dilation at the orgin.
What are the coordinates of the image of vertex P?
The x- coordinate of the vertex P is -4 and the y coordinate is -3. The coordinates of the image of vertex P is thus, (-4, -3).
What are coordinates?Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.
The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.
For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).
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Penny is planning a trip to egypt. she has mapped out the expected costs of some different components of her trip, and has compiled them below, including whether the cost is in us dollars ($) or egyptian pounds (£). item cost currency plane ticket 3,241.77 £ passport 65.00 $ tour guide 494.25 £ international phone card 41.38 $ hotel reservation 398.26 £ car rental 644.48 £ if the exchange rate of the us dollar to egyptian pound is 1:5.3841, how much has penny currently budgeted for her trip, in us dollars? round all currencies to two decimal places. a. $895.25 b. $993.95 c. $1,001.63 d. $1,468.01
The total amount that Penny has budgeted for her trip to Egypt is £5351.62.
What is the total amount budgeted for the trip?The exchange rate is the rate at which one currency is exchanged for another currency. The total amount that was budgeted by Penny is the sum of the different compoments that she compiled for the trip.
Cost of international phone card in Egyptian pound = 41.38 x 5.3841 =£222.79
Cost of passport in Egyptian pound = 65 x 5.3841 = £349.97
Total cost = 3,241.77 + £222.79 + 494.25 + £349.97+ 398.26 £ + 644.48 = £5351.62
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if f(x)=x^2-5x and f(n)=-4 , then which of the following could be a value for n?
a. -5
b. -4
c. -1
d. 1
There are 18 apples on the tree in the Donaldson's front yard.
Namid climbed the tree and ate 3 of the apples. Dawn shook the
tree, and 2 more apples fell. What fraction of the apples are still
on the tree
HELP PLS!
Answer:
13/18
Step-by-step explanation:
There were 18 apples. Namid ate 3 and more 2 fell:
3+2=5
So, rested 18-5=13 apples. The total was 18, and rested 13, so the fraction is 13/18
**I WILL GIVE BRAINLIEST AND 40 POINTS**
Which scatter plot best represents the data given in the table below?
Answer: A
Step-by-step explanation:
Flame length = l
Fire speed = s
In graph d, when l = 10, s does not equal 2.
It is eliminated.
In graph b, when l = 35, s=8, but in the graph, when l=30, s=8.
It is eliminated.
In graph c, when l=50, s=9, but in the graph when l=55, s=9.
It is eliminated.
The correct answer is a.
By appropriate streamlining, the drag coetficient for an airplane is reduced by 12% while the frontal area remains the same. For the same power output, by what percentage is the flight speed increased?
The speed that an aeroplane is intended to fly at is called its maximum operating speed (VA). With elevations of 12, 15, and 18 degrees, the lift and G-force grow.
Speed.
It is the rate at which a displacement adapts to its surroundings. A body's speed is a scalar quantity since it is directionless. It is also the rate at which displacement in relation to the environment is shifting in a particular direction.
Here,
The maximum operational speed of an aeroplane is the speed at which it is designed to fly (VA). Elevations of 12, 15, and 18 degrees result in increasing lift and G-force.
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which numbers belong to the solution set of the inequality x+6=45
Find the distance between the integers on a number line. 9 and -9
Answer:
18 units
Step-by-step explanation:
First, -9 to 0 is 9 units. Next 0 to 9 is also 9 units. Added up, this gives a total of 18 units.
Hope this helps! :)
Answer:
18
Step-by-step explanation:
You can do this two ways:
From -9 to 0, the distance is 9 units.
From 0 to 9, the distance is 9 units.
Add the two distances together, and you get 18 units.
You can also do this with the distance formula for a number line.
The distance, d, between numbers a and b on the number line is:
d = |a - b|
Our numbers are -9 and 9. It does not matter which number you call a and which you call b. Since the expression has absolute value in it, the answer will always come out non-negative.
d = |-9 - 9| = |-18| = 18
If you do it the other way, you get:
d = |9 - (-9)| = |9 + 9| = |18| = 18
Find a Cartesian equation for the curve and identify it. r = 2 tan theta sec theta a. circle b. line c. parabola d. ellipse e. limacon
The Cartesian equation for the curve is y = 2x/(1+x^2), which is the equation of a limacon.'
The cartesian form of equation of a plane is ax + by + cz = d, where a, b, c are the direction ratios, and d is the distance of the plane from the origin.
To find the Cartesian equation for the curve, we need to use the relationships between polar and Cartesian coordinates:
x = r cos(theta) and y = r sin(theta)
Substituting r = 2 tan(theta) sec(theta), we get:
x = 2 tan(theta) sec(theta) cos(theta) = 2 sin(theta)
y = 2 tan(theta) sec(theta) sin(theta) = 2 tan(theta)
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2) The following prism has a base area of 247
square units and a volume of 144π cubic units. The
cylinder has the same base area and height. What is
the volume of the cylinder?
Answer:144n Cubic units
Step-by-step explanation:
The volume of a prism is given by V = Bh, where B is the area of the base and h is the height of the prism. The volume of a cylinder is given by V = πr^2h, where r is the radius of the cylinder and h is its height. Since the prism and the cylinder have the same base area, we know that B = 247 square units for both shapes. We are given that the volume of the prism is 144π cubic units. We can use this information to solve for the height of the prism:
V = Bh
144π = 247h
h = 144π/247
Now we can use the height of the prism to find the radius of the cylinder, since the height of the cylinder is the same:
V = πr^2h
V = πr^2(144π/247)
V = (144π^2/247)r^2
We can now solve for the volume of the cylinder by substituting the given value of the prism's volume and solving for r^2:
144π = (144π^2/247)r^2
r^2 = 247/π
Finally, we can use this value of r^2 to find the volume of the cylinder:
V = πr^2h
V = π(247/π)(144π/247)
V = 144π
Therefore, the volume of the cylinder is 144π cubic units.
Find a formula for the sum of \( n \) terms. Use the formula to find the limit as \( n=0 \). \[ \lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(1+\frac{4 i}{n}\right)^{3}\left(\frac{5}{n}\right) \] L
The given expression represents a Riemann sum, which approximates the integral of a function over a specific interval. By taking the limit as \(n\) approaches infinity, we can find the exact value of the integral.
The given expression can be rewritten as \(\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(1+\frac{4 i}{n}\right)^{3}\left(\frac{5}{n}\right)\). This represents a Riemann sum with \(n\) terms, where each term corresponds to a rectangle of width \(\frac{1}{n}\) and height \(\left(1+\frac{4 i}{n}\right)^{3}\). Taking the limit as \(n\) approaches infinity converts the Riemann sum into an integral. The formula for the sum of \(n\) terms in this case would be \(\int_{0}^{1} \left(1+4x\right)^{3} \, dx\). Evaluating this integral will give us the exact value of the limit.
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WHAT IS THE PERCENT OF DECREASE FROM 1000 to 10
Answer:
(1000-10/10)%
(990/10)%
99%
1 the leftmost end point of a line segment must be specified as the start point of the line. true false
False, the leftmost end point of a line segment cannot be specified as the start point of the line
Define line segment.A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A line segment is either an edge (of that polygon or polyhedron) if its end points are adjacent vertices, or a diagonal more generally when both of its end points are vertices of a polygon or polyhedron. A line segment is referred to as a chord when both of its end points are located on a curve, like a circle.
Given,
False, the leftmost end point of a line segment cannot be specified as the start point of the line.
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