La tangente de 60° es igual al triple de la tangente de 20°
Answers
The statement "La tangente de 60° es igual al triple de la tangente de 20°" is not true.
To solve the problem "La tangente de 60° es igual al triple de la tangente de 20°," follow these steps:
Step 1: Write down the equation based on the problem statement:
tan(60°) = 3 * tan(20°)
Step 2: Find the tangent values for the given angles:
tan(60°) = √3
tan(20°) = 0.36397 (approximate value)
Step 3: Plug the tangent values into the equation and check if the statement is true:
√3 = 3 * 0.36397
Step 4: Calculate the right side of the equation:
3 * 0.36397 = 1.09191 (approximate value)
Step 5: Compare the two values:
√3 ≈ 1.73205 (approximate value)
Since 1.73205 ≠ 1.09191, the statement "La tangente de 60° es igual al triple de la tangente de 20°" is not true.
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Related Questions
4(3x - 6) = 3(4x - 3)
Answers
Answer:12x - 24 = 12 - 3
Step-by-step explanation:If you use the distrubutive property to solve this then 4 * 3x = 12x, 4 * 6 = 24, and then do the other side 3 * 4x = 12x, 3 * 3 = 9. There you have your answer. Unless it was suppose to be -12x = 3.
Answer:
No solution
Step-by-step explanation:
Use Distributive property.
4 · 3x = 12x
4 · (-6) = -24
Your equation should look like this now:
12x - 24 = 3(4x - 3)
Use Distributive property on the right side now.
3 · 4x = 12x
3 · (-3) = -9
Your equation now:
12x - 24 = 12x - 9
Add 24 to both sides.
Your equation:
12x = 12x + 15
Subtract 12x from both sides.
15 is left
So there is no solution.
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Here is the production function for the economy of Morovia: Y=
K (Y= Square Root of K). People invested 55% of income, and 10% of capital depreciates. If capital was equal to 25 last year, and technology did not change, then what could be the amount of capital this year? Select one: a. Something more than 25 b. 25 c. Something less than 25 d. None of these are true e. It is not possible to determine this from the information given
Answers
Based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).
To determine the amount of capital this year based on the given information, we can use the investment and depreciation rates.
Let's denote the amount of capital this year as K1.
According to the information provided:
People invest 55% of income, but we don't have any information about income. Therefore, we cannot determine the exact investment amount.
10% of capital depreciates. Based on this, the capital at the beginning of this year (K1) can be calculated as follows:
K1 = K - 0.1K
= 0.9K
Since we know that the capital last year was equal to 25, we substitute K = 25 into the equation above:
K1 = 0.9 * 25
= 22.5
Therefore, based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).
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I need help with this quick
Answers
Answer:
y = -1/4x + 1
Step-by-step explanation:
y = mx +b
m = rise/run
m = 2/-8
m = -1/4
b = 1
y = -1/4x + 1
Given that f(x)=3x-6 and h(x)=x^2-3x-4 . Evaluate the following .
f(h(2))
Answers
Answer:
Step-by-step explanation:
The way I understand (remember) the problem is....
you want to evaluate h(x) by substituting 2 in for x's
then substitute the value for h(2) into f(x) to get the answer
evalute f(h(2)) by following the parentheses
h(x) = x² - 3x - 4 evaluate when x = 2
h(2) = 2² - 3(2) - 4
= 4 - 6 - 4
h(2) = -6 so now -6 is the new x in the f(x) equation
f(x) = 3x - 6
f(-6) = 3(-6) - 6
= -18 - 6
= -24
so f(h(2)) = -24
line charts are best suited for representing data that follows some nonsequential order.
true or false
Answers
False. Line charts are best suited for representing data that follows a sequential order, such as time series data. Nonsequential data is better represented by other types of charts, like scatter plots or bar graphs.
Line charts are graphical representations of data points connected by lines. They are commonly used to display trends over time or sequential data. For example, they are often used to show the change in stock prices over a period of time or the temperature variations throughout the day. This sequential order is the key feature of line charts.
However, for data that does not follow a sequential order, line charts may not be the best choice. Nonsequential data, such as categorical or unrelated data points, are better represented by other types of charts. Scatter plots, for instance, are useful for showing the relationship between two variables that are not necessarily ordered. Bar graphs can also be used to compare nonsequential data points in different categories.
In summary, line charts are not best suited for representing data that follows a nonsequential order. They are most effective when used to display data that has a clear sequential relationship, allowing for easy interpretation of trends and patterns.
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we are interested in knowing if the distribution of a given categorical variable is consistent with some null hypothesis which test should be used
Answers
It is important to note that the chi-squared test of independence is applicable for categorical variables, and the assumptions of the test should be met for valid results.
What is null hypothesis?The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable.
To determine if the distribution of a given categorical variable is consistent with a null hypothesis, you can use a statistical test called the chi-squared test of independence.
The chi-squared test of independence is used to assess whether there is a significant association between two categorical variables. It compares the observed frequencies (counts) of each category in the given variable with the expected frequencies that would be observed if the null hypothesis were true. The null hypothesis typically assumes that there is no association or relationship between the variables, and any deviations from expected frequencies are due to random chance.
Here are the steps involved in conducting a chi-squared test of independence:
1. Formulate the null and alternative hypotheses: The null hypothesis assumes no association between the variables, while the alternative hypothesis suggests that there is an association.
2. Create a contingency table: Construct a contingency table that shows the observed frequencies of the categories for each variable.
3. Calculate the expected frequencies: Based on the null hypothesis, calculate the expected frequencies for each category. This is typically done assuming independence between the variables.
4. Calculate the test statistic: Using the observed and expected frequencies, calculate the chi-squared test statistic. This measures the overall discrepancy between the observed and expected frequencies.
5. Determine the p-value: The chi-squared test statistic follows a chi-squared distribution. Calculate the p-value associated with the test statistic, which represents the probability of obtaining results as extreme as the observed data under the null hypothesis.
6. Make a decision: Compare the p-value to a predetermined significance level (e.g., 0.05). If the p-value is smaller than the significance level, you reject the null hypothesis and conclude that there is evidence of an association between the variables. Otherwise, if the p-value is larger than the significance level, you fail to reject the null hypothesis and conclude that there is no evidence of an association.
It is important to note that the chi-squared test of independence is applicable for categorical variables, and the assumptions of the test should be met for valid results. These assumptions include having independent observations and sufficient expected frequencies in each cell of the contingency table.
It is also worth mentioning that there are other statistical tests available for specific scenarios or different types of categorical data analysis, such as Fisher's exact test or McNemar's test. The choice of the appropriate test depends on the research question, study design, and the specific characteristics of the data.
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Given this table of values, what is the value of f(−4.5)?
x f(x)
3 5.5
−4.5 12.6
4 −14.8 <= (Table)
−5 −4.5
Answers
-4.5 12.6 is the answer i think
The Brennan Aircraft Division of TLN Enterprises operates a large number of computerized plotting machines. For the most part, the plotting devices are used to create line drawings of complex wing airfoils and fuselage part dimensions. The engineers operating the automated plotters are called loft lines engineers. The computerized plotters consist of a minicomputer system connected to a 4- by 5-foot flat table with a series of ink pens suspended above it When a sheet of clear plastic or paper is properly placed on the table, the computer directs a series of horizontal and vertical pen movements until the desired figure is drawn. The plotting machines are highly reliable, with the exception of the four sophisticated ink pens that are built in. The pens constantly clog and jam in a raised or lowered position. When this occurs, the plotter is unusable. Currently, Brennan Aircraft replaces each pen as it fails. The service manager has, however, proposed replacing all four pens every time one fails. This should cut down the frequency of plotter failures. At present, it takes one hour to replace one pen. All four pens could be replaced in two hours. The total cost of a plotter being unusable is $50 per hour. Each pen costs $8. If only one pen is replaced each time a clog or jam occurs, the following breakdown data are thought to be valid: Hours between plotter failures if one pen is replaced during a repair Probability 10 0.05 20 0.15 30 0.15 40 0.20 50 0.20 60 0.15 70 0.10 Based on the service manager’s estimates, if all four pens are replaced each time one pen fails, the probability distribution between failures is as follows: Hours between plotter failures if four pens are replaced during a repair Probability 100 0.15 110 0.25 120 0.35 130 0.20 140 0.00 (a) Simulate Brennan Aircraft’s problem and determine the best policy. Should the firm replace one pen or all four pens on a plotter each time a failure occurs?
Answers
To determine the best policy for Brennan Aircraft's plotter pen replacement, we can simulate the problem and compare the expected costs for both scenarios: replacing one pen or replacing all four pens each time a failure occurs.
Let's calculate the expected costs for each scenario:
Replacing one pen:
We'll calculate the expected cost per hour of plotter failure by multiplying the probability of each failure duration by the corresponding cost per hour, and then summing up the results.
Expected cost per hour = Σ(Probability * Cost per hour)
Expected cost per hour = (10 * 0.05 + 20 * 0.15 + 30 * 0.15 + 40 * 0.20 + 50 * 0.20 + 60 * 0.15 + 70 * 0.10) * $50
Expected cost per hour = $39.50
Replacing all four pens:
We'll calculate the expected cost per hour using the same method as above, but using the probability distribution for the scenario of replacing all four pens.
Expected cost per hour = (100 * 0.15 + 110 * 0.25 + 120 * 0.35 + 130 * 0.20 + 140 * 0.00) * $50
Expected cost per hour = $112.50
Comparing the expected costs, we can see that replacing one pen each time a failure occurs results in a lower expected cost per hour ($39.50) compared to replacing all four pens ($112.50). Therefore, the best policy for Brennan Aircraft would be to replace one pen each time a failure occurs.
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Marcus collect donations and says care packages to troops overseas he has 36 bars of soap and 24 toothbrushes arrange the items so the packages are identical what is the greatest number of packages that Marcus can make using all the soap and toothbrushes?
Answers
Answer: I am sure is 12 package
field tests if a low-calorie sport drink found that 80 of the 100 who tasted the beverage preferred it to the regular higher-calorie drink. a break-even analysis indicated that the launch of this product will be profitable if the beverage is preferred by more than 75% of all customers. should the company launch the product? test at 0.05 level of significance.
Answers
1) State the null and alternative hypotheses:
H0: p = 0.75 (The proportion of customers who prefer the low-calorie drink is 75%)
H1: p > 0.75 (The proportion of customers who prefer the low-calorie drink is greater than 75%)
2) Formulate the decision rule:
We will use a one-tailed test with a significance level of α = 0.05. This means we will reject the null hypothesis if the test statistic falls in the critical region corresponding to the rejection of the null hypothesis at the 0.05 level of significance in the right tail.
3) Calculate the test statistic:
The test statistic for a one-sample proportion test is calculated as:
z = (p' - p) / √(p * (1 - p) / n)
Where p' is the sample proportion, p is the population proportion under the null hypothesis, and n is the sample size.
In this case, p' = 80/100 = 0.8, p = 0.75, and n = 100.
z = (0.8 - 0.75) / √(0.75 * (1 - 0.75) / 100)
z = 0.05 / √(0.1875 / 100)
z = 0.05 / √0.001875
z ≈ 3.06
4) Make a decision and interpret the results:
Since we have a one-tailed test, we compare the test statistic to the critical value at the 0.05 level of significance.
From the standard normal distribution table or using a statistical software, the critical value for a one-tailed test with α = 0.05 is approximately 1.645.
Since 3.06 > 1.645, the test statistic falls in the critical region, and we reject the null hypothesis.
Based on the sample data, there is sufficient evidence to conclude that the proportion of customers who prefer the low-calorie drink is greater than 75%. The company should launch the product as it is expected to be profitable.
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What is the sum of the following equation?
eight tenths plus sixty hundredths equals blank 50 POINTS
A sixty eight hundredths
B one and four hundredths
C one and forty hundredths
D one and eighty six hundredths
Answers
Answer:
C
0.8+0.6=1.4
Step-by-step explanation:
eight tenths plus sixty hundredths equals blank
eight tenths = 0.8
sixty hundredths = 0.6
0.8+0.6=1.4
the answer is c
"0.8+0.6=1.4"
A coach has $1280 in the budget to spend on team jackets. The team held a fundraiser and earned $1176. Each jacket costs $75. How many jackets can the coach Buy?
Pls Help
Answers
Answer: 32 jackets
Step-by-step explanation:
add 1280 to 1176 then divide the sum by 75
What is the ratio of 185:370
Answers
Answer: .5
hope thisi helps
plz mark brainliset
Step-by-step explanation:
185:370
divide both sides by185
you get the ratio is 1:2
I need help with 18 and 19
Answers
Answer:
17: 45%
18: dependent events
19: probability that a student selected at random
is a freshman who plays an instrument is 50%
Step-by-step explanation:
Question 18:
P(Junior) = junior / total
total is junior + sophomore
P(Junior) = 24 + 22 / (24 + 22) + (16 + 18)
P(Junior) = 46 / 80 → 23 / 40 simplified by dividing by 2
P(Junior) = 0.58
P(Junior | robotics) = P(junior and robotics) / P(robotics)
P(Junior | robotics) = (24 / 80) / (40 / 80)
P(Junior | robotics) = (3) / (5)
P(Junior | robotics) = 0.6 (this is what you found in question 14)
P(Junior | robotics) ≠ P(Junior)
0.6 ≠ 0.58
They are dependent events
Question 19:
P(instrument) = 40% (given)
P(freshman and instrument) = 20% (given)
P(freshman | no instrument) = 30% (given)
P(freshman | instrument) = P(freshman and instrument) / P(instrument)
P(freshman | instrument) = 0.2 / 0.4
P(freshman | instrument) = 0.5 x 100
P(freshman | instrument) = 50%
I would also like to clairfy Question 17:
P(Sophomore | Game Design) =
P(Sophomore) = sophomore / total
total is junior + sophomore = 80
P(Sophomore) = 16 + 18 / 80
P(Sophomore) = 34 / 80
P(Sophomore | Game Design) =
P(Sophomore and Game Design) / P(Game Design)
P(Sophomore and Game Design) = 18 / 80
P(Game Design) = 18 + 22 / 80
P(Game Design) = 40 / 80
P(Sophomore | Game Design) = (18 / 80) / (40 / 80)
P(Sophomore | Game Design) = 0.45 x 100
P(Sophomore | Game Design) = 45%
you were correct, good job :)
Let me know if you have any questions !!
This question: 1p
Find the surface area of the prism.
Answers
Answer:
Step-by-step explanation:
What is the slope of the line that passes through the points (9, 1) and (10, -1)? Write your answer in simplest form.
Answers
We conclude that the slope of the linear equation that passes through the points (9, 1) and (10, -1) is -2.
How to get the slope of the line that passes through the points (9, 1) and (10, - 1)?
A linear equation has the general form:
y = a*x + b
Where a is the slope of the line, and b is the y-intercept.
There is a simple equation to get the slope of a point if we know two points. For a line that passes through ( a, b) and (c, d), the equation for the slope is:
a = (d - b)/(c - a)
In this case we know that our line passes through (9, 1) and (10, -1), then using the above equation, we can see that the slope is:
a = (-1 - 1)/(10 - 9) = -2
We conclude that the slope of the linear equation that passes through the points (9, 1) and (10, -1) is -2.
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What equation could represent the situation shown in this model? What is the value of `x`?
Select one:
9x+4=24+x; x=2.5
9x=24+x; x=3
4x=24; x=6
9x=28+x; x=3.5
Assessment question image
Answers
Answer:
what>???????????????????/
Step-by-step explanation:
Answer:
9x+4=24+x; x=2.5
Step-by-step explanation:
3log7 (1/64) = -6 evaluate
Answers
Mr. Benitez sells houses. He gets a 6% commission on all sales.
How much commission would Mr. Benitez earn on a house that
sells for $400,000?
Answers
Answer:
$24,000
Step-by-step explanation:
$400,000 x 6%= $24,000
Write a short free verse poem describing the panda bear in the image.
Answers
Scratching your armpit, coping me.
We look into each others eyes.
Who knew love at first sight was really true.
I love you panda bear, cant you see.
Were truly ment to be.
Answer:
Its another day at the zoo
As people take photos of me
No wonder their crazy
I am just eating
My delicious great bamboo!
Jerami is going to deposit an amount of money into a checking account each month until he has saved $2,000. The amount of money, y, in the account after x months can be modeled by the equation
y= 35x+ 250.
What does the slope of the graph of the equation represent?
Answers
The slope of the graph of the equation represents the amount of money Jerami is depositing into the checking account each month.
The given equation is in the form of y = mx + b, where y represents the amount of money in the account, x represents the number of months, m represents the slope, and b represents the initial amount in the account.
In this case, the slope is 35. This means that for each month that passes (x increases by 1), Jerami is depositing $35 into the account. The slope indicates a constant rate of increase in the account balance over time.
Therefore, the slope of the graph represents the consistent monthly deposit made by Jerami into the checking account. It shows that for every additional month, the account balance increases by $35, gradually accumulating towards the goal of saving $2,000.
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What is the measure of the central angle that defines the shaded area below if the shaded area takes up 70% of the circle?
Answers
=252
Plz help wit this
What is the value of x?
Answers
Answer:
x = 15
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )
x² = 9 × (9 + 16) = 9 × 25 = 225 ( take square root of both sides )
x = \(\sqrt{225}\) = 15
Answer:
I did this quickly, so please check the logic.
I find x = 15
Step-by-step explanation:
See attached image. Note that I've defined 3 triangles and their Pythagorean equations. I also define a third line, RQ, as z. Rearrange the equations and substitute in a way that allows elimination of all variables except x.
Graph y = -3x + 4
please help asap.
Answers
Step-by-step explanation:
i don't know if this will help but, here
Answer ASAP for brainly
Answers
Answer: 25
Step-by-step explanation: -5 x 25 + 13 = -112
Answer:
25
Step-by-step explanation:
To find the answer you do the equation backwards.
Since you added 13, subtract 13 from -112
-112 - 13 = -125
-125 / -5 = 25
Simplify (3x^4 - 4 - 5x^2) - (1 - x^2 + 2x^3)
Answers
answer is in the picture
HELP PLS :(
Prove that the quadrilateral whose vertices are (1,3), (1, -1), (3, 1), (-1, 1) is cyclic.
Answers
Answer:
a square is cyclic
Step-by-step explanation:
You want to prove that the quadrilateral whose vertices are (1, 3), (1, -1), (3, 1), (-1, 1) is cyclic.
MidpointsPlotting the points, we see that the first pair define one diagonal, and the second pair define the other diagonal. The midpoints of these diagonals are ...
((1, 3) +(1, -1))/2 = (1+1, 3-1)/2 = (2, 2)/2 = (1, 1)
and
((3, 1) +(-1, 1))/2 = (3-1, 1+1)/2 = (2, 2)/2 = (1, 1)
The diagonals have the same midpoint, so bisect each other.
LengthsThe length of the first diagonal is ...
(1, 3) -(1, -1) = (1-1, 3+1) = (0, 4) . . . . . . 4 units vertically
and the length of the second diagonal is ...
(3, 1) -(-1, 1) = (3+1, 1-1) = (4, 0) . . . . . . 4 units horizontally
The diagonals have the same length, and bisect each other, so the figure is a rectangle. A rectangle is a cyclic quadrilateral.
This quadrilateral is cyclic.
__
Additional comment
A cyclic polygon is one whose vertices lie on a circle. This polygon is a square, so can be circumscribed by a circle as shown in the attachment.
Directions: Solve each problem using a quadratic equation and the quadratic formula.
When the length of each side of a
square is increased by 10 cm, the area
is increased by 200 cm². What was
the length of each side of the original
square?
Answers
Therefore, the length of each side of the original square is 5 cm.
What is area?Area is a measure of the size of a two-dimensional surface or region. It is the amount of space enclosed by a boundary in two dimensions. In simple terms, area is the size of a flat surface, such as the floor, a wall, or a piece of paper. It is usually measured in square units such as square meters (m²), square centimeters (cm²), square feet (ft²), or acres.
Here,
Let x be the length of each side of the original square.
When the length of each side is increased by 10 cm, the new length is x + 10, and the area of the new square is (x + 10)².
According to the problem, the increase in area is 200 cm², so we can set up the equation:
(x + 10)² - x² = 200
Expanding the left side of the equation, we get:
x² + 20x + 100 - x² = 200
Simplifying, we get:
20x + 100 = 200
Subtracting 100 from both sides, we get:
20x = 100
Dividing both sides by 20, we get:
x = 5
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what % of $1500 is $1395
Answers
Answer:
93%
Step-by-step explanation:
divide 1395 by 1500
0.93
0.93=93%
Answer:
93%
Step-by-step explanation:
This problem can be best solved with a proportion! First, we can set up one side of the proportion with the two values that are given to us. It will look something like this:
\(\frac{1395}{1500}\)
Next, we need to set up the other side. Since we are solving for a percent, we know that our x will be out of 100. This side will look something like this:
\(\frac{x}{100}\)
Next, we need to set them equal to each other and solve for x.
\(\frac{1395}{1500} = \frac{x}{100}\)
To solve, just cross multiply and divide. Multiply 1395 by 100 to get 139,500. Next, divide 139,500 by 1500 to get a final answer of 93%! Hope this helps!
I need help on the values on these questions?
Answers
Answer:
Angle 6 is 135 degrees
Step-by-step explanation:
Reason why is because look at 45. (9x+14 is corresponding to that so they must have the same values.
meaninng 180-45 gets you 135. So, 135 is the measure of angle 6