Una antena de televisión será sujeta con un cable de 6 m de longitud de la parte superior de la misma, a una argolla que se encuentra en el piso de la azotea, con un ángulo de inclinación de 60° con respecto al piso, ¿qué longitud tiene la antena?
Answers
Answer:
5.196 m
Step-by-step explanation:
p = La perpendicular del triángulo es la longitud de la antena.
h = La hipotenusa del triángulo es la longitud del cable conectado a la parte superior del poste = 6 m
\(\theta\) = Incline el cable con el suelo = \(60^{\circ}\)
De las funciones trigonométricas sabemos que
\(\sin\theta=\dfrac{p}{h}\\\Rightarrow p=h\sin\theta\\\Rightarrow p=6\times \sin60^{\circ}\\\Rightarrow p=6\times\dfrac{\sqrt{3}}{2}\\\Rightarrow p=3\sqrt{3}\\\Rightarrow p=3\times 1.732=5.196\ \text{m}\)
La longitud de la antena es 5.196 m.
Related Questions
On a demand curve for most goods, as the price of the product ________, the number of units the customer is willing to buy ________.
Answers
On a demand curve for most goods, as the price of the product decreases, the number of units the customer is willing to buy increases.
The relationship between price and quantity demanded is a fundamental concept in economics and is typically represented by a demand curve. According to the law of demand, as the price of a product decreases, the quantity demanded by customers tends to increase, and vice versa. This inverse relationship between price and quantity demanded can be attributed to various factors.
When the price of a product decreases, it becomes more affordable for consumers, leading to an increase in their willingness to purchase it. Lower prices may also create a perception of greater value or incentivize customers to buy more of the product. Conversely, as the price of a product increases, consumers may find it less affordable or less attractive, resulting in a decrease in their willingness to buy.
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The same capacitor circuit is now charged up to 12V and the instantaneous voltage is v = X (1 - e^(-t/Y).
X= 11, Y = 1
The tasks are to:
a) Differentiate v with respect to t to give an equation for dv/dt
b) Calculate the value of dv/dt at t = 2s and t = 4s.
c) Find the second derivative (d^2v/dt^2)
Answers
Instantaneous voltage equation: v = X(1 - e^(-t/Y))
X = 11
Y = 1
a) Differentiate v with respect to t to give an equation for dv/dt:
Using the chain rule and the fact that the derivative of e^(ax) is a*e^(ax), we get:
dv/dt = X * (-1/Y) * e^(-t/Y) = -11/Y * e^(-t/Y)
Since Y = 1:
dv/dt = -11 * e^(-t)
b) Calculate the value of dv/dt at t = 2s and t = 4s:
For t = 2s:
dv/dt = -11 * e^(-2) ≈ -11 * 0.135 = -1.485
For t = 4s:
dv/dt = -11 * e^(-4) ≈ -11 * 0.018 = -0.198
c) Find the second derivative (d^2v/dt^2):
To find the second derivative, we differentiate dv/dt once more:
d^2v/dt^2 = d/dt(-11 * e^(-t)) = 11 * e^(-t)
In summary:
a) dv/dt = -11 * e^(-t)
b) At t = 2s, dv/dt ≈ -1.485; at t = 4s, dv/dt ≈ -0.198
c) d^2v/dt^2 = 11 * e^(-t)
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James and Martha are discussing special right triangles. James believes that a 30-60-90 triangle with a hypotenuse of 10 feet has a greater perimeter than a 45-45-90 triangle with a hypotenuse of 10 feet. Martha disagrees. Who is correct?
Answers
Answer:
Step-by-step explanation:
Disclaimer it is up the student to verify all the geometry algabra and mathematical formulas and calculation .
cosФ = opp/hyp sinФ = adj/hyp hyp = 10 perimeter = a + b + c
for the 45° right triangle
a = b so 2a² = hyp² perimeter 45 = a + a + hyp
P45 = 2a + hyp a = sin(45) (hyp) = [1/2√2)] (hyp) sin(45) = (√2)/2
P45 = 2([1/2√2)] (hyp) + hyp
P45 = hyp (√2 + 1)
for the 30° right triangle
a = hyp×sin(30) b = hyp×cos(30) perimeter 30 = a + b + hyp
sin(30) = 1/2 cos(30) = (√3)/2
a = hyp(1/2) b = hyp(1/2)(√3)
P30 = a + b + hyp
= hyp(1/2) + hyp(1/2)(√3) + hyp
= hyp[ 1/2 + (1/2)√3 + 1]
= hyp[ 1/2 + (1/2)√3 + 1] factored out the hyp
= (1/2)hyp[ 1 + √3 + 2] factored out a 1/2
P30 = (1/2)hyp[ 3 + √3]
which is greater P45 or P30? vso I set both perimeters equal to each other
P45 vs P30
hyp (√2 + 1) = (1/2)hyp[ 3 + √3] the hyp cancel
(√2 + 1) = (1/2)[ 3 + √3] still tough to tell needed
1.414 + 1 = (1/2)[ 3 + 1.732] to go to the calsulator
2.414 vs 1/2( 4.732)
2.414 > 2.366 thus P45 > P30 < ----- Final Answer
Disclaimer it is up the student to verify all the geometry algabra and mathematical calculation.
Answer:
what he said
Step-by-step explanation:
A middle school club is planning a homecoming dance to raise money for the school. Decorations for the dance cost $80, and the club is charging $10 per student that attends.
Which graph describes the relationship between the amount of money raised and the number of students who attend the dance?
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 80 through the point 2 comma negative 100
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 80 through the point 2 comma negative 60
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 80 through the point 2 comma 60
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 80 through the point 2 comma 100
Answers
The attached graph describes the relationship between the amount of money raised and the number of students who attend the dance
How to know the graph?The parameters that will help us to determine the graph are
Decorations for the dance cost $80,
The club is charging $10 per student that attends
This forms a linear equation:
y = mx + b
y = 10x - 80
Plotting the graph:
That is the full solution of the equation
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what is 2(5+34-67/45*43)^2 equal to?
Answers
The value of the give expression is \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴
Evaluating an ExpressionFrom the question, we are to determine the value of
2(5+34-67/45*43)^2
This can be written as
\(2 (\frac{5+34-67}{45 \times 43 })^{2}\)
First, we will simplify the bracket
\(2 (\frac{-28}{1935 })^{2}\)
Then, we get
\(2 \times \frac{-28}{1935 }\times \frac{-28}{1935 }\)
= \(\frac{1568}{3744225}\)
= \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴
Hence, the value of the give expression is \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴
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hi please help which one is it
don't do this "just for points" i need the correct answer
Answers
Answer:
you can add to eliminate the x
Step-by-step explanation:
because two x values have the same coefficient, and also the first equation is already negative so by adding them you can eliminate the x variable, then you can find the value of y.
Hope that helps.
God bless.
Patrick is excited to attend his son’s soccer game tomorrow
evening, but he also needs to ensure his daughter arrives at her
coding class on time. Patrick is debating whether taking the train
or his
Answers
Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.
On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.
If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.
Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.
Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.
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Answer this for alot of piontsssssss plssssssssss I need it by today please have a good day
Answers
Answer:
Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!
Step-by-step explanation:
Ques
WIT 2 ASSESSMENT I Q8
1. A local supermarket sells chicken for $2.50 per pound. Todd has only $22 to spend. Using the inequality, 2.500 5 22, can Todd buy 9
pounds of chicken?
Answers
The weather app on Myra's phone tracks the Air Quality Index (AQI), a measure of how clean the outdoor air is. When the AQI is below 51, Myra knows the air quality is considered good. Last week, the levels in her area ranged from 40 to 48. The mean AQI for the week was about 43.9, with a mean absolute deviation of about 2.4.
What can you conclude from these data and statistics? Select all that apply.
Answers
The data suggests that the air quality in Myra's area was good last week.
How to explain the dataThe mean AQI for the week was 43.9, which is below the 51 threshold for good air quality. The mean absolute deviation of 2.4 means that the AQI values were typically within 2.4 points of the mean.
This suggests that the air quality in Myra's area was generally good last week, with only a few days when the AQI was slightly elevated.
The AQI values were relatively consistent throughout the week, with no major spikes or dips.
Overall, the data suggests that the air quality in Myra's area was good last week.
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The weather app on Myra's phone tracks the Air Quality Index (AQI), a measure of how clean the outdoor air is. When the AQI is below 51, Myra knows the air quality is considered good. Last week, the levels in her area ranged from 40 to 48.
The mean AQI for the week was about 43.9, with a mean absolute deviation of about 2.4.
What can you conclude from these data and statistics?
For each of following vector spaces V and subsets H in V , (1) determine with justifica- tion whether H is a subspace of V and (2) if H is a subspace, then find the dimension of H
Answers
By finding a basis for H, which is a set of linearly independent vectors that span H, we can determine the dimension of H by counting the number of vectors in the basis.
For each vector space V and subset H in V, we need to determine whether H is a subspace of V and find the dimension of H if it is a subspace.
To determine whether H is a subspace of V, we need to check three conditions:
1. H must contain the zero vector. This is because every vector space contains the zero vector, and any subset that claims to be a subspace must also have the zero vector.
2. H must be closed under vector addition. This means that if we take any two vectors u and v from H, their sum u + v must also be in H. If H fails this condition, it cannot be a subspace.
3. H must be closed under scalar multiplication. This means that if we take any vector u from H and any scalar c, the scalar multiple c * u must also be in H. If H fails this condition, it cannot be a subspace.
If H satisfies all three conditions, it is indeed a subspace of V.
To find the dimension of H, we need to count the number of linearly independent vectors in H. The dimension of a subspace is the maximum number of linearly independent vectors it can have.
To determine the linear independence of vectors, we can use the concept of span. The span of a set of vectors is the set of all possible linear combinations of those vectors. If we can express a vector in H as a linear combination of the other vectors in H, then it is linearly dependent and does not contribute to the dimension.
By finding a basis for H, which is a set of linearly independent vectors that span H, we can determine the dimension of H by counting the number of vectors in the basis.
In summary, to determine if H is a subspace of V, we need to check the three conditions mentioned above. If H is a subspace, we can find its dimension by finding a basis for H and counting the number of vectors in the basis.
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Is negative 1 a real number?
Answers
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Using the properties of integer exponents, match each expression with its equivalent expression. ArrowRight arrowRight arrowRight arrowRight
Answers
Answer:
Please find the complete question in the attached file.
Step-by-step explanation:
For question 1:
\(\to 5^{-3}=\frac{1}{5^3}=\frac{1}{5\times 5 \times 5}= \frac{1}{125}\\\\\)
For question 2:
\(\to -5^{-3}=-\frac{1}{5^3}=-\frac{1}{5\times 5 \times 5}= -\frac{1}{125}\\\\\)
For question 3:
\(\to -(5^{-3})^{-1}=-(\frac{1}{5^3})^{-1}=-(5 \times 5 \times 5)= -125\\\\\)
For question 4:
\(\to -(5^{-3})^{0}=-(\frac{1}{5^3})^{0}=-(\frac{1}{5 \times 5 \times 5})^0= (-\frac{1}{125})^0=1\\\\\)
This is the answer
To the question
ill mark brainlist plss help
Answers
Answer:
100 by 190 in.
Step-by-step explanation:
Hope this helps!
Lmk if you have any questions!
Have a great day! :)
Answer:
100 by 190 in.
Step-by-step explanation:
Ratios are only equal if both numbers are divided by the same number.
10 : 19 = (10 × 10) : (19 × 10)
10 : 19 = 100 : 190
You have not mentioned if there is more than one answer so lets check the rest:
10 : 19 = (10 × 10.7) : (19 × 10 and 3/19)
10 : 19 ≠ 107 : 193
10 : 19 = (10 × 10.7) : (19 × 10)
10 : 19 ≠ 107 : 190
10 : 19 = (10 × 10) : (19 × 10 and 3/19)
10 : 19 ≠ 100 : 193
over time, the...period becomes the...run, and the...run becomes the...run.
Answers
Over time, the period becomes the run, and the run becomes the stride.
The given statement seems to be referring to a change or evolution in the terminology or usage of certain terms. However, without further context or clarification, it is difficult to provide an accurate and specific explanation for the intended meaning.
Based on the statement, it can be inferred that the terms "period" and "run" are being used in a specific context or domain. In general, the term "period" is often associated with the time duration or repetition of a cycle, while "run" can refer to a continuous segment or distance covered. However, the specific domain or field where these terms are being used could alter their meanings or interpretations.
Without additional context, it is challenging to provide a more detailed explanation or analysis of the statement's implications.
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Three bananas and two
pears cost 95p.
Five bananas and three pears cost £1.51
Find the cost of ten bananas and ten
pears.
Answers
Ten bananas and ten pears will run you about £4.537.
Application of simultaneous equationSimultaneous equations are two equations with two unknown variables. From the given question;
If three bananas and two pears cost 95p and Five bananas and three pears cost £1.51, the equivalent equations will be:
3b + 2p = 0.95 * 3
5b + 3p = 1.51 * 2
Solve simultaneously;
6b + 6p = 2.85
10b + 6p = 3.02
Subtract
-4b = -0.17
b = 0.17/4
b = £0.0425
Since 3b + 2p = 0.95, hence
3(0.0425) + 2p = 0.95
0.1275 -0.95 = -2p
2p = 0.8225
p = 0.4112
The cost of ten bananas and ten pears will be:
Cost = 10(0.0425) + 10(0.4112)
Cost = 0.425 + 4.112
Cost = £4.537
Hence the cost of ten bananas and ten pears is approximately £4.537
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a standard six-sided die is rolled 1515 times. what is the expected value of the number of times an odd number will be rolled? do not round your answer.
Answers
The expected value of the number of times an odd number will be rolled can be calculated using the formula: E(x) = np, where n is the number of trials, and p is the probability of success. In this case, the probability of rolling an odd number on a standard six-sided die is 3/6, or 1/2, since there are three odd numbers (1, 3, 5) and three even numbers (2, 4, 6).
Therefore, the expected value of the number of times an odd number will be rolled in 1515 trials is:
E(x) = np
E(x) = 1515 * (1/2)
E(x) = 757.5
So the expected value of the number of times an odd number will be rolled in 1515 trials is 757.5.
Answer: 757.5.
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what is the slope of this line? y= -2x +6
Answers
Answer:
-2
Step-by-step explanation:
Slope is y = mx + b
Your equation is y = -2x + 6, simply pull the 'm' from the equation, that being -2.
Hope that helps.
I need to find the X pls help
Answers
Answer:
8
Step-by-step explanation:
11/22= 0.5 multiply 16 and 0.5 and you get 8
Answer: i might be wrong and i apologize if i am but i think its 15.125
Step-by-step explanation:
Suppose a company needs temporary passwords for the trial of a new time management software. Each password will have one digit, followed by one letter, followed by two digits. The digit 7 will not be used. So, there are 26 letters and 9 digits that will be used. Assume that the digits can be repeated. How many passwords can be created using this format?
Answers
Answer: 18954
Step-by-step explanation:
The given format for password : Each password will have one digit, followed by one letter, followed by two digits. The digit 7 will not be used. So, there are 26 letters and 9 digits that will be used.
We assume that the digits can be repeated.
Then by using fundamental principle of counting,
Number of passwords can be created = (Number of digits) x (Number of letters) x (Number of digits)x(Number of digits)
= 9 x 26 x 9 x 9
= 18954
Hence, Number of passwords can be created= 18954
What is the perimeter of the figure?
4 cm
1.2 cm
2 cm
3.5 cm
4.9 cm
16.0 cm
14.4 cm
15.6 cm
10.2 cm
Answers
Answer:
15.6
Step-by-step explanation:
Jackson is preparing many gifts for a family holiday party. Each gift must either be wrapped with wrapping paper or prepared in a gift bag. Jackson can wrap a single gift in 6 minutes and he can do a gift bag in 2 minutes. Jackson prepared a total 25 gifts in 110 minutes. Write a system of equations that could be used to determine the number of gifts Jackson wrapped and the number of gift bags he prepared. Define the variables that you use to write the system.
Answers
a) A system of equations that could be used to determine the number of gifts Jackson wrapped and the number of gift bags he prepared is:
6x + 2y = 110x + y = 25.b) The variables used to write the system of equations are the number of single gifts, x, and the number of gift bags, y.
What is a system of equations?A system of equations is two or more equations solved simultaneously.
They are also known as simultaneous equations because the solutions of the variables are obtained at the time.
The time for wrapping a single gift = 6 minutes
The time for wrapping a gift bag = 2 minutes
The total number of gifts prepared = 25
The total time used in preparing the 25 gifts = 110 minutes
Let the number of single gifts = x
Let the number of gift bags = y
Equations:6x + 2y = 110 ... Equation 1
x + y = 25 ... Equation 2
Multiply Equation 2 by 2:
2x + 2y = 50 ... Equation 3
Subtract Equation 3 from Equation 1:
6x + 2y = 110
-
2x + 2y = 50
4x = 60
x = 15
From Equation 2:
x + y = 25
15 + y = 25
y = 10
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What is the solution to the system of equation?
-4+6y=-18 and y=-2x+21
Answers
Answer:
The answer is (35/3, -7/3)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
~Hoped this helped~
The expression 27 −−−√3⋅27−−√3gives the area of the base of a cube with a volume of 27 cubic inches. What is the area of the base, in square inches?
Answers
The area of the base of the cube is 9 square inches.
To find the area of the base of a cube, we can use the formula:
\(Area $ of base = (Volume)^{(2/3)\)
Given that the volume of the cube is 27 cubic inches, we substitute this value into the formula:
\(Area $ of base = (27)^{(2/3) }\)
To simplify the expression, we can rewrite 27 as (3^3):
\(Area $ of base = (3^3)^{(2/3)\)
Applying the exponent rule, we multiply the exponents:
\(Area $ of base = 3^{(3\times (2/3))\)
The exponent \(3\times (2/3)\) simplifies to 2:
\(Area $ of base = 3^2\)
Evaluating \(3^2,\) we get:
Area of base = 9 square inches.
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Two angles of a quadrilateral are 40 degree and 60 degree and the ratio of remaining two angles is 7:6. The degree measure of remaining two angles is?
Answers
Answer:
140,120
Step-by-step explanation:
sum of angles in a quadrilateral =360
sum of the 1st two angles=60+40=100
360-100=260
the ratio of the remaining angles 7:6
therefore:
\( \frac{7}{13} \times 260\)
=140
for the second angle
260-140=120
Joanie runs the concession stand for the school's baseball games. At each game, the best selling items are pretzels and hot dogs. Pretzels are $3 each, and hot dogs are $2 each. Today she sold 15 more hot dogs than pretzels and made $195 in total sales.
Use a system of equations to model the situation above, and determine which of the following are possible amounts of pretzels and hot dogs that Joanie sold today.
A.
35 pretzels, 45 hot dogs
B.
15 pretzels, 30 hot dogs
C.
33 pretzels, 48 hot dogs
D.
31 pretzels, 51 hot dogs
Answers
Answer:
A. 33 pretzels, 48 hot dogs
Step-by-step explanation:
Jesus deposited $10,000
into a savings account.
He gets 0.1% in interest
over 5 years. What is the
total amount in interest
that Jesus gets?
Answers
Help please I need a little help I kinda don’t get it.
Answers
Answer:
12 eggs / 2 TBSP
24 eggs / 4 TBSP
Step-by-step explanation
depending on how much quiche you want, you can alter the recipe by doubling, tripling or even quadrupling the batch. For this example, every time 6 eggs were added, 1 tbsp of butter was added, so if we double that, 12 eggs were added and 2 tbsp of butter was added.
a house is 13 ft tall. its shadow is 20 ft long at the same time the shadow of a nearby building is 170 ft long. find the height of the building.
Answers
The height of the building after using proportion is 110.5 ft.
What is proportion ?
The main conceptual underpinnings on which proportion is described are ratio and fractions. When two ratios are written as a fraction using the formula a/b, ratio a:b, and then a proportion, they are equal. A and b in this situation can be any two integers. For grasping the myriad concepts in science and mathematics, the ratio and proportion are crucial constructing elements. With the right amount of proportion, a variety of problems in daily life, such as those encountered in the kitchen or in business when processing transactions, can be resolved. It facilitates comparison by establishing a relationship between two or more quantities.
Here House height = 13ft
Shadow of the house height = 20 ft
Shadow of the building height = 170ft
Noe using proportion ,
=> \(\frac{House height}{shadow of the house} = \frac{building height}{shadow of the building}\)
=> \(\frac{13}{20} = \frac{x}{170}\)
=> x=\(\frac{13*170}{20}\) =110.5 ft.
Hence the height of the building is 110.5 ft tall.
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(n + 18)
(2n)
What is the value of n
Answers
Answer: if this is what you wanted ,I think that n=0 and /or n= -18
Step-by-step explanation:
In an equation equal to 0 you can say that if it is a product like that : A x B =0 so A or / and B can be equal to 0 so you have to search when A=0 and when B=0 separately then you know when n is equal to 0 so the values of n . I’m sorry if it is not what you needed as an answer.
