Ayuda por favor
Sea ABC un triángulo equilátero de la 2a y altura h
como se muestra en la figura. Si se traza una línea
horizontal que divide la altura del triángulo en dos
partes iguales formando 2 figuras geométricas de
igual altura, entonces el cociente entre el área del
triángulo AMN y el cuadrilátero BMNC es:
Answers
A partir de la definición de razón y la teoría de semejanza entre triángulos, la razón del área del triángulo AMN y el área del cuadrilátero BMNC es equivalente a 1/3.
¿Cómo determinar la medida de un lado de un triángulo desconocido?
En este problema tenemos un sistema formado por dos triángulos similares, la semejanza entre los dos triángulos se debe a la colinealidad entre los segmentos de línea AP' (triángulo pequeño) y AP'' (triángulo grande), así como de los lados AM y AB, así como los lados AN y AC, así como los mismos ángulos en la misma distribución. (Semejanza Lado - Ángulo - Lado)
En consecuencia, obtenemos las siguientes proporciones:
AP'/AP'' = MN/BC = 1/2 (1)
Finalmente, la proporción entre el triángulo AMN y el cuadrilátero BMNC es:
[tex]\frac{AMN}{ABC - AMN} = \frac{\frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)}{\frac{1}{2}\cdot (2\cdot a) \cdot h - \frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)} = \frac{\frac{1}{4}\cdot a\cdot h }{a\cdot h - \frac{1}{4}\cdot a \cdot h }[/tex]
[tex]\frac{AMN}{ABC - AMN} = \frac{\frac{1}{4} }{\frac{3}{4} } = \frac{1}{3}[/tex]
A partir de la definición de razón y la teoría de semejanza entre triángulos, la razón del área del triángulo AMN y el área del cuadrilátero BMNC es equivalente a 1/3.
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Related Questions
Which of the following is correct based on this picture?
Answers
B. none of these are correct
Task
On April 15, 1912, the Titanic struck an iceberg and rapidly sank with
only 710 of her 2,204 passengers and crew surviving. Data on survival
of passengers are summarized in the table below. (Data source:
http://www.encyclopedia-titanica.org/titanic-statistics.html)
a.
First class passengers
Second class passengers
Third class passengers
Total passengers
Survived
201
118
181
500
Did not survive
123
166
528
817
Total
324
284
709
1317
a. Calculate the following probabilities round your answers to three decimal points
i. If one of the passengers is randomly selected what is the probability that this passenger survived
iii. If one of the passengers is randomly selected what is the probability that this passenger was in first class and survived
iv. If one of the passengers is randomly selected from the first class passengers what is the probability that this passenger survived
v. If one of the passengers who survived is randomly selected what is the probability that this passenger was in first class
vi. If one of the passengers who survived is randomly selected what is the probability that this passenger was in third class?
Answers
The probability that a random passenger survived is 0.38
The probability that this passenger was in first class and survived is 0.153
The probability that the passenger in the first class survived is 0.620
The probability that the passenger that survived was in first class is 0.402
The probability that the passenger that survived was in third class is 0.362
What are the probabilities ?The probability that a random passenger survived is 500 / 1317 = 0.38
The probability that this passenger was in first class and survived is 201 / 1317 = 0.153
The probability that the passenger in the first class survived is: 201 /324 = 0.620
The probability that the passenger that survived was in first class: 201/500 = 0.402
The probability that the passenger that survived was in third class is: 181 / 500 = 0.362
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In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is t = 2 (StartFraction 2 h Over 32 EndFraction) Superscript one-half , where t is the time in seconds, and h is the height of the jump, in feet.
Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?
Answers
Considering the hang time equation, it is found that Player 1 jumped 0.68 feet higher than Player 2.
What is the hang time equation?The hang-time of the ball for a player of jump h is given by:
[tex]t = 2\left(\frac{2h}{32}\right)^{\frac{1}{2}}[/tex]
The expression can be simplified as:
[tex]t = 2\sqrt{\frac{h}{16}}[/tex]
For a player that has a hang time of 0.9s, the jump is found as follows:
[tex]0.9 = 2\sqrt{\frac{h}{16}}[/tex]
[tex]\sqrt{\frac{h}{16}} = \frac{0.9}{2}[/tex]
[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.9}{2}\right)^2[/tex]
[tex]h = 16\left(\frac{0.9}{2}\right)^2[/tex]
h = 3.24 feet.
For a player that has a hang time of 0.8s, the jump is found as follows:
[tex]0.8 = 2\sqrt{\frac{h}{16}}[/tex]
[tex]\sqrt{\frac{h}{16}} = \frac{0.8}{2}[/tex]
[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.8}{2}\right)^2[/tex]
[tex]h = 16\left(\frac{0.8}{2}\right)^2[/tex]
h = 2.56 feet.
The difference is given by:
3.24 - 2.56 = 0.68 feet.
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NEED THIS DONE ASAP!! Thank you!!
Answers
• External point D (vertex outside of the circle) creates two secant segments (DR and DB).
• Using the exterior angle theorem: angleD= (1/2) RB - EC. This becomes 5x-10 = (13x+7-60°)/2.
• Now solve for x
multiply both sides by 2
10x-20=13x+7-60°
Add/subtract like terms to isolate variable on one side
60° = 3x+27
Subtract 27 from both sides
33=3x
divide both sides by 3 to get variable x alone, and: 11 = x.
• x = 11.
• Plug this x value back into the expression representing arc RB
13(11)+7 = 150.
• mRB=150°.
• check: 5(11)-10=45°. Plug all known values into the exterior angle theorem to see if true; 45° = (1/2)*(150° - 60°)
45°=45°
[true]
Answer:
150°
Step-by-step explanation:
A secant is a straight line that intersects a circle at two points.
The circle shows two secants RD and BD that intersect at one exterior point D, so we can use the Intersecting Secants Theorem to solve.
Intersecting Secants Theorem
If two secant segments are drawn to the circle from one exterior point, the measure of the angle formed by the two lines is half of the (positive) difference of the measures of the intercepted arcs.
[tex]\implies \angle RDB = \dfrac{1}{2}\left(\overset{\frown}{RB}-\overset{\frown}{EC}\right)[/tex]
[tex]\implies 5x-10=\dfrac{1}{2}(13x+7-60^{\circ})[/tex]
[tex]\implies 2(5x-10)=13x-53[/tex]
[tex]\implies 10x-20=13x-53[/tex]
[tex]\implies -3x=-33[/tex]
[tex]\implies x=11[/tex]
To find the measure of [tex]\overset{\frown}{RB}[/tex], substitute the found value of x into the expression for the arc:
[tex]\implies \overset{\frown}{RB}=13x+7[/tex]
[tex]\implies \overset{\frown}{RB}=13(11)+7[/tex]
[tex]\implies \overset{\frown}{RB}=143+7[/tex]
[tex]\implies \overset{\frown}{RB}=150^{\circ}[/tex]
Therefore, the measure of arc RB is 150°.
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What happened in this situation?
........................................................................................................
(Maya raises her hand)
Ms. Teacher: Yes, Maya?
Maya: Someone passed gas.
(Another student, Nylo, begins silently laughing)
(Another student, Lia, notices Nylo laughing)
Lia: it was Nylo.
(the entire class begins laughing, except for Maya)
...............................................................................................
Why did Lia think it was Nylo and expose them? And why didn't Maya laugh?
Answers
Answer:
It's because Maya friend did not pass gas
use the point–slope formula to write an equation of the line that passes through(-5, -16 )and has a slope of m = 3 . Write the answer in slope–intercept form (if possible).
Answers
Answer:
y + 16 = 3(x + 5)
Step-by-step explanation:
When you write an equation in point-slope form, you only need two things: a point and a slope.
Given:
point: (-5, -16)slope (m): 3The standard point-slope equation is
y - y₁ = m(x - x₁)
Plug in what you know.
y - (-16) = 3(x - (-5))
Simplify.
y + 16 = 3(x + 5)
This is your equation.
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A tank weighs 5.6kg when it 1/4 filled with water.If it weighs 10.4kg when it is full ,what will be it's weight when it is empty.
Answers
Answer:
4 kg
Step-by-step explanation:
........................
Answer:
4 kg
Explanation:
Let the mass of tank be 't' and water 'w'
First equation : (when it is 1/4 filled with water)
[tex]\sf t + \frac{1}{4} w = 5.6[/tex]Second equation : (when it is filled fully with water)
[tex]\sf t +w = 10.4[/tex][tex]\sf w = 10.4 - t[/tex]Insert second equation into first equation :
[tex]\rightarrow \sf t + \dfrac{1}{4} (10.4 - t) = 5.6[/tex]
[tex]\rightarrow \sf t - \dfrac{1}{4} t + 2.6 = 5.6[/tex]
[tex]\rightarrow \sf \dfrac{3}{4} t = 5.6 - 2.6[/tex]
[tex]\rightarrow \sf \dfrac{3}{4} t = 3[/tex]
[tex]\rightarrow \sf t = 4[/tex]
The tank weights 4 kg when it is empty.
Line l and line m intersect.
Prove: ∡1 ≅ ∡3
Answers
Answer:
l & m intersect
2 & 3 are supplementary
1 & 3 are congruent
Step-by-step explanation:
The proof of expression"∡1 ≅ ∡3" is given below.
The complete flow chart is given in the attached image.
As per the provided diagram and the given information "Line l and line m intersect", the proof of the required statement can be done in the following steps.
Step 1:
Given: Line l and line m intersect.
Step 2:
∠1 is supplementary to ∠2
From the property of linear pair theorem.
Step 3:
∠2 is supplementary to ∠3
From the property of linear pair theorem.
Step 4:
As per the property of congruent supplements theorem,
∠1 ≅ ∠3
The complete chart is given below.
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In the diagram below, all the measurements are given correct to the nearest cm.
Not drawn
to scale
28 cm
15 cm
21 cm
42 cm
Calculate the greatest possible area of the shaded region.
+
P
Answers
Answer: 462 square cm
Step-by-step explanation:
The area of the shaded region is the difference between the areas of the two rectangles.
Larger Rectangle: (42)(21)
Smaller Rectangle: (28)(15)
Area of shaded: (42)(21)-(28)(15)=462 square cm
A soccer field (football pitch) has a length of 101.0 m and a
width of 70.2 m. Find the total area of the field in square
meters (m²) and convert this measurement to square yards
(yd2). Use the fact that 1 yard = 0.9144 m. Round your answer
to the nearest whole number.
Answers
Answer:
7754
Step-by-step explanation:
give brainiest, please. <3
Answer:
about 7,754 m
Step-by-step explanation:
101 * 70.2 = 7,090.2
7,090.2/0.9144 = 7,753.9
What is the product of (2x - 1) (x + 4)
Answers
Answer: 2[tex]x^{2}[/tex]+7x-4
Step-by-step explanation:
Product implies multiplication so just multiply it out.
(2x-1) (x+4)
2x^2+8x-1x-4 (Combine like terms)
2x^2+7x-4
Answer please! I need this!
Answers
Step-by-step explanation:
The top has been multiplied by 5 so multiply the bottom by 5, 2 x 5 = 10. also why is there a pig lol
The function f(x)= –StartRoot negative x EndRoot is shown on the graph.
Answers
The range of the required function f(x) = -√-x is all real values less than or equal to 0.
The nature of the function is imaginary because of the negative sign present inside the root. Hence the range of the function exists only and only if the function gives real values in each of its outcomes.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
As per question
f(x) = -√-x
clearly, for each positive real number the function becomes imaginary.
So the domain of the given function lies (-∞, 0).
and for every x in its domain function has its exists in range of all real values less than and equal to zero.
Thus, the range of the function f(x) ≤ 0.
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What is the area of a circle with 20cm diameter
Answers
Answer:
area of the circle
area=7.54
Alana, Brianna and Carla divided $171 between them in the ratio 4 colon 7 colon 8. How much did Brianna receive?
Answers
Answer:
$63
Step-by-step explanation:
Alana has 4 units of the $171.
Brianna has 7 units of the $171.
Carla has 8 units of the $171.
Total units = 4 + 7 + 8 = 19
19 units = $171
1 unit [tex]\frac{171}{19} \\= $9[/tex]
Brianna has 7 units, so she receives 7 x $9 = $63.
Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"
12 ⋅ x − 4
x − 4 ⋅ 12
4(x − 12)
12(x − 4)
Answers
Answer:
[tex]12(x - 4)[/tex]
Step-by-step explanation:
The question says, "twelve times the difference of a number and four"
Let's start with the first number, which is twelve = 12. Moving on, we have times = ×, then the difference which is minus(-). A number is unknown, any aphabet can be used to represent the number, so, we represent with 'x', and then four = 4.
Arranging them, we have:
[tex]12 \times x - 4[/tex]
in algebraic equations, times is always represented by bracket. Therefore, our final answer is:
[tex]12(x - 4)[/tex]
I hope this helps.
Help help needed for composition of function
Answers
Answer:
[tex]\circledast \ \ f\circ f\left( x\right) = x[/tex]
[tex]\circledast \ \ g\circ g\left( x\right) =4x - 21[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{5}{2x}[/tex]
g(x) = 2x - 7
==============
[tex]f\circ f\left( x\right) =\frac{5}{2\left( f\left( x\right) \right) }[/tex]
[tex]=\frac{5}{2\left( \frac{5}{2x} \right) }[/tex]
[tex]=\frac{5}{\left( \frac{5}{x} \right) }[/tex]
[tex]=5\times\frac{x}{5}[/tex]
[tex]=x[/tex]
_____________
[tex]g\circ g\left( x\right) =2(g(x)) - 7[/tex]
= 2(2x - 7) - 7
= 4x - 14 - 7
= 4x - 23
A graph titled Janelle's Trip Home. The horizontal axis shows time (minutes) and the vertical axis shows distance from her home (miles). The line shows a decrease as time increases, a constant as time increases, and then another decrease as time continues.
Based on the graph, which statement could describe Janelle’s trip home from school?
Janelle waited for the bus, rode the bus, and then walked home.
Janelle walked the opposite direction from home to the library, rode the bus, and then walked to a friend’s house.
Janelle walked home at a constant speed.
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.
Answers
Janelle rode the bus to the bus stop, talked with a friend, and then walked home , Option D is the correct answer.
The missing graph is attached with the answer.
What is a Time -Distance Graph ?A graph which shows change in distance with respect to time is called Time- Distance Graph.
It is used to calculate velocity.
As in the graph we it can be seen that , The distance is decreasing at a constant speed ,
then the distance becomes constant with time
and then again decreases but with a lower rate
This means
Janelle rode the bus to the bus stop (distance to time rate is high)
talked with a friend (distance is constant with time)
and then walked home. (distance to time rate is low)
Therefore Option D is the correct answer.
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Answer:
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.
Step-by-step explanation:
Bayes' rule combines accuracy, false positives, and _____ to determine the probability of a result.
Answers
The blank space in the task content should be filled with; false negatives.
What is Baye's rule?Baye's theorem can be used to correct measurement errors provided the real probabilities, the chance of a false positive and the chance of a false negative is known.
Hence, it follows from the methodology above that the Baye's rule combines accuracy, false positives and false negatives in a bid to determine the probability of a result.
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Sketch the graph that has an area of under the standard normal curve and to the left of the z-score. Then find the associated z-score.
Answers
The normal distribution is also known as the Gaussian distribution. The correct option is B, while the approx z-score is 0.31.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
Since the normal distribution is symmetrical about the mean. Therefore, the correct option is B, while the approx z-score is 0.31.
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function F(x)=x+1 and g(x)=5x+1 find the f(4)=g(x+1)
Answers
The function of f(4) = g(x+1) gives the value of x that is -1/5.
What is the function addition?It is the addition of two functions similar to the addition of any two polynomial functions.
Given;
F(x)=x+1
g(x)=5x+1
We need to find f(4)=g(x+1)
First substitute x = 4 in f(x)
F(x)=x+1
F(4) = 4 + 1
F(4) = 5
Now substitute x = x + 1 in g(x)
g(x)=5x+1
g(x + 1) = 5(x + 1) + 1
g(x + 1) = 5(x + 1) + 1
g(x + 1) = 5x + 5 + 1
g(x + 1) = 5x + 6
Then ,
F(4) = g(x + 1)
5 = 5x + 6
5x = 5 - 6
5x = -1
x = -1/5.
The function of f(4) = g(x+1) gives the value of x that is -1/5.
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Use the grouping method to factor this polynomial completely.
4x³ + 8x²+3x+6
O A. (4x2 + 2)(x+3)
OB. (4x2+2)(x+2)
O C. (4x²+3)(x+3)
D. (4x² + 3)(x + 2)
Answers
Answer:
D. [tex](4x^2 + 3)(x + 2)[/tex]
Step-by-step explanation:
Hello!
We can group the first two terms and the last two terms and factor each group.
Factor by Grouping[tex]4x^3 + 8x^2 + 3x + 6[/tex][tex](4x^3 + 8x^2) + (3x + 6)[/tex][tex]4x^2(x + 2) + 3(x + 2)[/tex]Now we can combine the like factors:
[tex](4x^2 + 3)(x + 2)[/tex]The answer is Option D.
what is −4/5+40/75+100%=
Answers
-0.8+1.875+100%
1.05+100%
0.1
Which of the following is a sum of cubes?
Answers
Answer:
x^3 + 8y^6
Step-by-step explanation:
Answer:
the answer is B !!!
Step-by-step explanation:
thank me later lol
the answer to this question
Answers
From indices : when you have a fraction like 3⁶/5
we can also write it as (5√3)^6
and we were given (c√a )^b
meaning that anywhere the letters are, we put them as the numbers there.
therefore: a = 3 , b = 6 , c = 5
Hope this helps and you understood it.
you're super free to ask any more questions eh.
Good luck ✅.
Who got geometry regents answer key June 2022
Answers
Answer:
nobody yet
Step-by-step explanation:
Answer:
No one.
Step-by-step explanation:
The New York State Education Department has canceled the June 1, 2022, administration of the Regents Examination in U.S. History & Government (Framework). NYSED Commissioner Betty A.
Help me to solve this answer below :((!!!
Answers
Answer:
3/2+1/2+17/2=21/2
Answer: 21/2 hours or 10 1/2 hours
Step-by-step explanation:
To find out the total number of hours needed for all activities scheduled for the day, simply add the needed hours for each activity.
You just need to add them because they have the same denominator.
3/2 for homework
1/2 for home chores
17/2 for sleep
[tex]\frac{3}{2} + \frac{1}{2} + \frac{17}{2} = \frac{21}{2}[/tex] hours
Solve 4|x + 6| = 16
Answers
Answer:
-10 and -2
Step-by-step explanation:
First, divide both sides by 4 to get |x+6| = 4
Then, Take the absolute vaule on both sides
x+6= 4 or -4
So, x could be 2 vaules
Your welcome!
4 | x + 6 | = 16
Divide both sides by 4.
[tex]\bf{\dfrac{4|x+6|}{4}=\dfrac{16}{4} }[/tex]
[tex]\bf{|x+6|=4 }[/tex]
Absolute value is solved.
[tex]\bf{|x+6|=4 }[/tex]
We know either x + 6 = 4 or x + 6 = -4.
x + 6 = 4 (Possibility 1)
x + 6 - 6 = 4 - 6 (Subtract 6 from both sides)
x=−2
x + 6 = -4 (Possibility 2)
x + 6 - 6 = -4 - 6 (Subtract 6 from both sides)
x=-10
Solution:
x=−2 or x=−10
[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
Which of the following describes the behavior of the graph shown over the interval (-2,2)?
Answers
Hello!
We are trying to describe the behavior of the graph given in the question.
To help us understand how to solve this question, we would need to understand concavity.
There are two types of concavity:
Concave upConcave downWhen a graph is concave up, the slope of the line would look like a "U".
When a graph is concave down, the slope of the line would look like a "U" that is flipped upside down.
In this case, we can see that the graph is concave down.
We can tell that the slope is negative due to the fact that the slope is going down, which results in the graph having a negative slope.
We can also tell that the graph is decreasing due to the fact that the line is doing downward.
Answer:
C). negative and decreasing
Let the Universal set be the letters a through j: U = (a, b, ..., i, jJ. Let A = (b, e, g, i), B = {a, b, e, f), and C = {a, e, i, ji) List the elemefits of the set An (BU C)
Answers
Answer:
A ∩ (B U C) = {b , e , i}
Step-by-step explanation:
A = {b , e , g , i}
B = {a , b , e , f}
C = {a , e , i , j}
We note B U C ,The union of the two sets B and C
which is the set that contains all elements
that are in B or in C .
The easiest way to determine B U C :
Step1 : (write all the elements of B and C side by side)
B U C = {a , b , e , f , a , e , i , j}
Step2 : (delete the repeated elements)
B U C = {a , b , e , f , i , j}
FINDING A ∩ (B U C) :
it’s the set of elements that exist in both sets
A and B U C simultaneously:
A = {b , e , g , i}
B U C = {a , b , e , f , i , j}
Then
A ∩ (B U C) = {b , e , i}
