Basado en la existencia de un triángulo rectángulo y la relación entre ángulos externos e internos, se tiene que las medidas de los ángulos internos son 60° y 30°, respectivamente.
¿Cómo determinar a partir de un ángulo externo los ángulos internos de un triángulo rectángulo?Un triángulo rectángulo es un triángulo que contiene un ángulo recto y dos ángulos agudos como ángulos internos. Por otra parte, la suma del ángulo externo y el ángulo interno contiguo son ángulos suplementarios. Dos ángulos suplementarios son aquellos cuya suma es igual a 180°.
De acuerdo con el enunciado, el ángulo externo es un ángulo obtuso y, en consecuencia, el ángulo interno contiguo es un ángulo agudo. A continuación, emprendemos los cálculos requeridos:
m ∠A = 180 - m ∠A'
m ∠A = 180° - 120°
m ∠A = 60°
m ∠B = 90°
m ∠C = 180° - m ∠B - m ∠A
m ∠C = 180° - 90° - 60°
m ∠C = 30°
Basado en la existencia de un triángulo rectángulo y la relación entre ángulos externos e internos, se tiene que las medidas de los ángulos internos son 60° y 30°, respectivamente.
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This screen has a height of 5 inches and a width of 12 inches. What is the screen size?
Answer:
Here is your answer!
Sorry I'm late but hopefully I can help others when looking for answers.
Step-by-step explanation:
Brainlist? :)
how to expand 1,478,908
Answer:
1,000,000 400,000 70,000 8,000 900 8
Step-by-step explanation:
you just break it down per number place (millions, hundred thousands, ten thousands, thousands, hundreds, tens, then ones)
may you please help me! Whether you can help or not I hope you are doing amazing!!the instructions at the top fully say " use the compass and straightedge to construct a segment congruent to WX with endpoint P."
Step Guide:
Step 1: Place your compass at W and extend it to X.
Step 2: Using the same length, place your compass at P and mark an arc.
Step 3: Using the straightedge, draw a line from P to meet the arc.
Step 4: Label the point of intersection of the line and the curve Q.
This gives segment PQ that is congruent to WX,
What is the average of 105 and 147
Answer:
126
Step-by-step explanation:
Parallel/Perpendicular/Neither?*
Answer:
i think it might be A
Step-by-step explanation:
• Check your work when you're done.
Your Assignment
A bag contains 5 marbles. There are 3 yellow marbles and 2 red marbles.
Suppose that Glen chooses a marble first and then Kris chooses one.
Answer the questions to show the probability that Kris will get a yellow marble if
Glen chooses a yellow one first.
1. What is the probability that Glen will get a yellow marble? Show how you
calculated this probability.
Write your answer in the space below.
i
is 21q-7 equivalent to (3q-p)(7)
For what value of θ is csc θ undefined? 0° 90° 270° 315°
The trigonometric function we need to evaluate is:
\(\csc\theta\)This function is given by:
\(\csc\theta=\frac{hypotenuse}{opposite}\)In the unit circle, graphically these measures are given by:
Then, the cosecant will be undefined when the opposite side (y-value) is equal to zero, so let's check the given angles:
\(\begin{gathered} \csc0=\frac{1}{0}=undefined \\ \\ \csc90=\frac{1}{1}=1 \\ \\ \csc270=\frac{1}{-1}=-1 \end{gathered}\)And we can't find the exact value of csc 315, but with a little help from the unit circle, we can observe that the opposite side measures a value different than 0:
So, the answer is 0°.
You have collected two samples of data, one from Texas and another from Colorado. Each sample includes four people's names and the number of books they read per year. You want to determine whether people in Texas read more books than people in Colorado. What test would you perform and why? How would you understand whether the difference you are getting is statistically significant or due to a random chance?
The samples are normally distributed and have equal variances. If these assumptions are not met, alternative tests such as the Mann-Whitney U test or the Welch's t-test may be more appropriate.
To test whether people in Texas read more books than people in Colorado, a two-sample t-test would be appropriate.
The reason for choosing a two-sample t-test is that we are comparing the means of two independent samples (Texas and Colorado), and we want to determine if the difference between these means is statistically significant or if it could be due to random chance.
To understand whether the difference in means is statistically significant, we can calculate the t-statistic and compare it to the critical value from the t-distribution with degrees of freedom equal to the sum of the sample sizes minus two (df = n1 + n2 - 2). If the calculated t-statistic is greater than the critical value, we can reject the null hypothesis that the means are equal and conclude that there is a statistically significant difference between the means.
We can also calculate the p-value associated with the t-statistic and compare it to the significance level (usually 0.05). If the p-value is less than the significance level, we can reject the null hypothesis and conclude that there is a statistically significant difference between the means.
It's important to note that in order to perform a two-sample t-test, we need to assume that the samples are normally distributed and have equal variances. If these assumptions are not met, alternative tests such as the Mann-Whitney U test or the Welch's t-test may be more appropriate.
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Ella traveled by train to visit her friend.
• It took 3 hours for Ella to reach her destination.
• The train averaged a speed of 100 miles per hour.
Enter an equation to express the distance, d, Ella traveled.
Answer:
d = st, d = 100 x 3
Step-by-step explanation:
distance = speed x time
distance = 100 x 3, therefore, distance = 300, but if you just want the equation, it is d = 100 x 3 or d = st
Step-by-step explanation:
d = 100 x 3.
d= 100n
where n = time the journey took.
Jason has 4-3-10 feet of string he use 2-2-5 feet of string how much string does he have left
Answer:
1.9 feet = 19/10 feet = 1-9-10 feet
(I provided the answer as a regular number, as a mixed number, and as an improper fraction. Feel free to use whichever feels best to you).
Step-by-step explanation:
We can find the remaining amount of string by subtracting the amount of string used from the total amount of string.
Since Jason used 2 2/5 feet of string and started with 4 3/10 feet of string, we subtract 2 2/5 from 4 3/10.
Step 1: We can subtract improper fractions by subtracting the whole numbers and the fractions themselves. Then, we can combine the result at the end:
(4 - 2) + (3/10 - 2/5)
2 - (5/50)
2 - 1/10
1.9
Step 2: When we convert 1.9 into a mixed number, we get 1 9/10 (in the form you used, it's 1-9-10).
As a mixed number, it's 19/10
Draw the cross section when a vertical
plane intersects the vertex and the
shorter edge of the base of the pyramid
shown. What is the area of the cross
section?
The calculated area of the cross-section is 14 square inches
Drawing the cross section of the shapesfrom the question, we have the following parameters that can be used in our computation:
The prism (see attachment 1)
When a vertical plane intersects the vertex and the shorter edge of the base, the shape formed is a triangle with the following dimensions
Base = 7 inches
Height = 4 inches
See attachment 2
So, we have
Area = 1/2 * 7 * 4
Evaluate
Area = 14
Hence, the area of the cross-section is 14 square inches
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HELP I DONT GET THIS AT ALL. ITS ABOUT INEQUALITIES EXPLANATION NEEDED
Answer:
Since the slope of the line is (31/4 - 25/4) / (5/4 - 3/4) = 3 that means that for every 1 that x increases, y increases by 3 so an example could be 1 3/4 for x and 9 1/4 for y.
Is 1/7 an irrational number?
Answer:
Yes
Step-by-step explanation:
1/7 = 0. 142857, where the bar over 142857 indicates a pattern that repeats forever. A real number that cannot be expressed as a quotient of two integers is known as an irrational number.
Help on Math please and thank you
Answer:
the value of x to the nearest tenth is 12 * x
A teacher recorded unit 4 test scores from her class.
58, 64, 66, 70, 71, 75, 77, 80,
84, 85, 87, 90, 93, 95, 96.
Find the percentile rank of a score of 71 on this street -
Victor is in the 60th percentile, what was his score?
The percentile score of 71 on test score is 27 and the score of victor is 71.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula
\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60th percentile.
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
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Explain how the U. S entertainment industry changed during the 1930s
The 1930s was a period of significant change in the U.S. entertainment industry, with the emergence of new technologies and the development of new forms of media. Here are some of the key changes that took place:
The rise of sound films: The introduction of synchronized sound in films in the late 1920s revolutionized the movie industry, and by the 1930s, "talkies" had replaced silent films as the dominant form of cinema. This led to a surge in demand for new films and a boom in the movie theater industry.The growth of radio: Radio broadcasting became increasingly popular in the 1930s, with programs ranging from news and current affairs to drama, comedy, and music. Radio provided a new form of entertainment and also became an important platform for advertising, with many companies sponsoring radio programs to reach a wider audience.The impact of the Great Depression: The economic downturn of the Great Depression had a significant impact on the entertainment industry, with many people struggling to afford tickets to movies and shows. As a result, many producers focused on creating more affordable forms of entertainment, such as low-budget films and radio programs.The emergence of new genres: In response to changing audience preferences, new genres of entertainment emerged in the 1930s. One of the most popular was the screwball comedy, a lighthearted and fast-paced form of comedy that often featured romantic storylines. The decade also saw the rise of gangster films, musicals, and horror movies.The impact of censorship: In 1930, the Motion Picture Production Code was introduced, which established strict guidelines for the content of movies to ensure that they were "wholesome" and "morally uplifting." This had a significant impact on the content of films and limited the freedom of filmmakers to explore controversial or taboo subjects.Overall, the 1930s was a period of significant change in the U.S. entertainment industry, with the rise of new technologies and the emergence of new forms of media leading to the development of new genres and changing audience preferences.
-8(2z - 70)
use z = 5 and c = 2
Answer:
480
Step-by-step explanation:
So we have the expression:
\(-8(2z-70)\)
And we want to evaluate it for z=5 and c=2:
So:
\(=-8(2(5)-70)\)
Multiply within the parentheses:
\(=-8(10-70)\)
Subtract within the parentheses:
\(=-8(-60)\)
Multiply:
\(=480\)
Answer:
480
Step-by-step explanation:
-8( 2(5) - 70)
-8 ( 10 - 70)
-80 + 560
480
Lulu's mum pours 210 ml of plant food into a watering con. She adds 150 ml more water than plant food into the watering can to get a mixture. She then pours all of the mixture equally onto 6 plants. How much of the mixture does she pour onto each plant?
Lulu's mum mixes 360 ml of water with 210 ml of plant food. Each plant will receive 95 ml of mixture.
To find out how much of the mixture Lulu's mum pours onto each plant, we need to first find out the total amount of mixture in the watering can, and then divide that by the number of plants.
Step 1: Find the total amount of mixture in the watering can.
We know that Lulu's mum pours 210 ml of plant food into the watering can. She also adds 150 ml more water than plant food, so she adds 210 ml + 150 ml = 360 ml of water.
The total amount of mixture in the watering can is therefore 210 ml + 360 ml = 570 ml.
Step 2: Divide the total amount of mixture by the number of plants.
We know that there are 6 plants, so we need to divide the total amount of mixture by 6.
570 ml / 6 = 95 ml.
Therefore, Lulu's mum pours 95 ml of the mixture onto each plant.
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a = 15 ; b =____________ ; c = 17
Answer:
16
Step-by-step explanation:
b=16
Following the pattern, we can assume that each term adds by 1. So 15+1 = 16.
anyone else’s brainly heating up their phone like crazy
Mine is not heating up I don't know about others
Find the value of x and y
Answer:
3√15
Step-by-step explanation:
x=y
x^2+x^2 = 9*30
2x^2 = 270
x^2 = 9*15
x = y = 3√15
Least to greatest -6.8,|-23/4|,0,-14.4,|-1.9|,5.4
Answer:
-14.4, -6.8, 23/4, -1.9, 0, 5.4
Step-by-step explanation
lowest to highest
Answer:
-14.4, -6.8, 0, |-1.9|, 5.4, |-23/4|
Step-by-step explanation:
When a number is in absolute value brackets, it will always be positive. This makes |-1.9| 1.9 and |-23/4| 5.75. You can then sort them out starting from negative to 0 to positive numbers.
how many gallons of gas would it take to drive to the moon and back
Answer:
239 miles per gallon for a round trip.
Step-by-step explanation:
you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,
5. explain the observed change in beak characteristics using the following concepts in your answer: competition, survival of the fittest, inheritance.
The observed change in beak characteristics can be explained through the concepts of competition, survival of the fittest, and inheritance.
In an environment with limited resources, birds with different beak shapes compete for food. This competition leads to the survival of the fittest, where only individuals with beak shapes best suited for accessing available food sources will survive and reproduce.
This advantageous trait (the suitable beak shape) is then inherited by their offspring, ensuring the continuation of the successful trait in future generations. Over time, this process results in the prevalence of the advantageous beak shape within the population.
The observed change in beak characteristics can be explained by the concepts of competition, survival of the fittest, and inheritance.
As a result of competition for limited resources such as food, birds with beaks that were better suited to their environment were more likely to survive and reproduce. This is known as survival of the fittest. Over time, these advantageous beak characteristics were inherited by their offspring, leading to a shift in the overall beak characteristics of the population.
Therefore, the observed change in beak characteristics is a result of natural selection acting on inherited traits that allowed for better survival and reproduction in a competitive environment.
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find the volume of the largest right circular cone that can be inscribed in a sphere of radius r.
The volume of the largest right circular cone that can be inscribed in a sphere of radius r is 8/27 (volume of sphere)
Let r serve as the foundation. the volume of the area, and radius x is the separation between the base and the sphere's center. Height h of the cone = R + x
∴ V= 1/3πr² h= π/ 3 (R² −x²)(R + x)
= π/3 (R² + R² x − Rx² −x² )
∴ dV/ dx = π /3 [R²−2Rx−3x² ]
d²V/ dx² = π/3 [−2R−6x]
For max or min V dV/dx =0
∴ R² −2Rx−3x² =0
⇒(R + x)(x−3x)=0
2) x=−R, x/3 but x = −R
When x= R/3 d² V/dx² <0 V is max only when x= R/3
∴ Max V= 1/3π(R² − R²/9 )(R+ R/3 )
= 32πR³/81
= 8/27 ( 4/3 πR³)
= 8/27 (volume of sphere)
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what is the estimate value of
Answer:
1.99
Step-by-step explanation:
Pi is 3.14
So result is 1.99
a one-way anova is performed to compare the means of four populations. the sample sizes are 18, 22, 20, and 22. determine the degrees of freedom for the f-statistic. write your answer in the form (df1 , df2), where df1 is the numerator degrees of freedom and df2 is the denominator degrees of freedom.
A one-way ANOVA is a statistical test used to compare the means of four populations in this case. Thus, the degrees of freedom for the F-statistic in this one-way ANOVA are (df1, df2) \(= (3, 78)\).
The degrees of freedom are essential for calculating the F-statistic, which helps determine whether there are significant differences among the population means.
To calculate the degrees of freedom for the F-statistic, we need to determine the numerator degrees of freedom (df1) and the denominator degrees of freedom (df2). For df1 (numerator degrees of freedom), it is equal to the number of populations (groups) minus 1.
In this case, there are four populations,
So: df1 \(= 4 - 1 = 3\)
For df2 (denominator degrees of freedom), it is equal to the total sample size (N) minus the number of populations (groups).
The total sample size is given as \(18 + 22 + 20 + 22 = 82\).
So: df2 \(= 82 - 4 = 78\)
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Tap water has a temperature of 60°C. The same cup of tap water is used for
3 other experiments before Dr. Woods finally gets it. Each experiment raises
the temperature of the water 12.5°C without allowing it to cool between
experiments. In his test, Dr. Woods has to lower the water 98°C before it
freezes. Find the freezing point of the tap water and compare it to the normal
freezing point of water.
He then raises the temperature of the same water 99.25°C, which causes it
to boil. Compare its boiling point to the normal boiling point of water.
To solve this problem, we can use the formula:
Q = mcΔT
where Q is the heat energy transferred, m is the mass of the water, c is the specific heat capacity of water (4.184 J/g°C), and ΔT is the change in temperature.
For the first part of the problem, we can use the formula to find the freezing point of the tap water:
Q1 = mcΔT1
where ΔT1 = 98°C - 60°C = 38°C
We assume that the mass of the water is the same in all experiments and in Dr. Woods' test, so we can use the same value of m throughout.
Q1 = mcΔT1 = m(4.184 J/g°C)(38°C)
Q1 = 1593.792 J
Each of the 3 other experiments raised the temperature of the water by 12.5°C, so the total change in temperature is:
ΔT2 = 12.5°C x 3 = 37.5°C
The heat energy transferred in these experiments is:
Q2 = mcΔT2 = m(4.184 J/g°C)(37.5°C)
Q2 = 1566.9 J
The total heat energy transferred before the water freezes is:
Q = Q1 + Q2 = 1593.792 J + 1566.9 J = 3160.692 J
We can now use the formula to find the freezing point of the tap water:
Q = mcΔTf
where ΔTf = T - 0°C
Assuming the same mass of water as before, we get:
3160.692 J = m(4.184 J/g°C)(60°C - 0°C)
m = 18.995 g
ΔTf = T - 0°C = 3160.692 J / (18.995 g x 4.184 J/g°C) ≈ 40°C
So, the freezing point of the tap water is approximately 40°C, which is 8 degrees higher than the normal freezing point of water (0°C).
For the second part of the problem, we can use the same formula to find the boiling point of the tap water:
Q = mcΔTb
where ΔTb = 100°C - T
Assuming the same mass of water as before, we get:
Q = mcΔTb = m(4.184 J/g°C)(99.25°C)
Q = 4158.83 J
4158.83 J = m(4.184 J/g°C)(T - 0°C)
T = 100°C + 4158.83 J / (18.995 g x 4.184 J/g°C) ≈ 116°C
So, the boiling point of the tap water is approximately 116°C, which is 16 degrees higher than the normal boiling point of water (100°C).
What are the zeros of the function h (x) = x² + 3x - 8?
A
x = -8 and x = -2
OB
x= -8 and x = 2
cx = -2 and x = 8
OD x = 2 and x = 8
The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.
Describe functions.Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.
The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.
By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.
h(x) = x² + 3x - 8 = 0
We may factor the left side of the equation to find x:
x² + 3x - 8 = (x-2)(x+4) = 0
We set each factor to zero and solve for x to discover the zeroes:
x-2 = 0 or x+4 = 0
x = 2 or x = -4
Consequently, the function's zeros are x = 2 and x = -4.
So, A is the right response. x = -4 and x = 2
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The complete question is
What are the zeros of the function h (x) = x² + 3x - 8?
A. x = -4 and x = -2
B. x= -8 and x = 2
C. x = -2 and x = 8
D. x = 2 and x = 8