The angular velocity of the object is 31.25 radians/second.
Angular velocity is defined as the change in angular displacement per unit of time. In this case, the object rotates a total of 25 radians in 0.8 seconds. Therefore, the angular velocity can be calculated by dividing the total angular displacement by the time taken.
Angular velocity (ω) = Total angular displacement / Time taken
Given that the object rotates 25 radians and the time taken is 0.8 seconds, we can substitute these values into the formula:
ω = 25 radians / 0.8 seconds
Simplifying the equation gives:
ω = 31.25 radians/second
So, the angular velocity of the object is 31.25 radians/second.
Angular velocity measures how fast an object is rotating and is typically expressed in radians per second. It represents the rate at which the object's angular position changes with respect to time.
In this case, the object completes a rotation of 25 radians in 0.8 seconds, resulting in an angular velocity of 31.25 radians per second. This means that the object rotates at a rate of 31.25 radians for every second of time.
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Note the translated question is:
An object that is rotated moves 25 radians in 0.8 seconds. what is the angular velocity of said object?
find the value of x. 142 3x+22
Answer:
x = 40
you can guess and check.
amar is a unmarried newly secondary class joint secretary of minister of finance. his monthly salary with dearness allowance is Rs 58,786. he gets one month salary for expense of festival at once. 10% of his monthly salary deposited in employee's provident fund (EPF) and Rs 3,300 in life insurance in each month.the government deposits the same EPF amount in the fund
1) find his yearly income assessable income
2) find taxable income of amar
3) how much income tax does he pay in total? find it
The correct answer is Yearly income assessable income: Rs 7,75,974
Taxable income of Amar: Rs 7,66,796
To find Amar's yearly income, we'll consider his monthly salary and additional benefits:
Yearly Income:
Monthly salary = Rs 58,786
Yearly salary = Monthly salary * 12 = Rs 58,786 * 12 = Rs 7,05,432
Additional benefits:
One month salary for festival expense = Rs 58,786
EPF contribution per month (deducted from salary) = 10% of monthly salary = 0.10 * Rs 58,786 = Rs 5,878
Government's EPF contribution = Rs 5,878
Total additional benefits per year = One month salary + EPF contribution + Government's EPF contribution = Rs 58,786 + Rs 5,878 + Rs 5,878 = Rs 70,542
Yearly income assessable income = Yearly salary + Total additional benefits = Rs 7,05,432 + Rs 70,542 = Rs 7,75,974
Taxable Income:
To calculate the taxable income, we deduct certain deductions from the assessable income.
Deductions:
EPF contribution per month (deducted from salary) = Rs 5,878
Life insurance per month = Rs 3,300
Total deductions per year = EPF contribution + Life insurance = Rs 5,878 + Rs 3,300 = Rs 9,178
Taxable income = Assessable income - Total deductions = Rs 7,75,974 - Rs 9,178 = Rs 7,66,796
Income Tax:
To determine the income tax paid, we need to apply the applicable tax rate to the taxable income. Since tax rates can vary based on the country and specific rules, I am unable to provide the exact income tax amount without additional information.
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Calculate the mean of the following data x 5 ,10 ,15, 20, 25, f 3, 2 ,6, 4 ,8.
The overall mean would be the average of the means of the two sets, which is 9.8.
To calculate the mean of a set of data, you need to sum up all the values and divide by the total number of values. In this case, we have two sets of data: the first set is {5, 10, 15, 20, 25}, and the second set is {3, 2, 6, 4, 8}.
For the first set, the sum of the values is 5 + 10 + 15 + 20 + 25 = 75. There are 5 values in this set. So, the mean of the first set is 75 divided by 5, which equals 15.
For the second set, the sum of the values is 3 + 2 + 6 + 4 + 8 = 23. There are 5 values in this set as well. Therefore, the mean of the second set is 23 divided by 5, which equals 4.6.
To find the overall mean, we need to calculate the weighted average of the means of the two sets. Since we don't have information about the weights assigned to each set, we cannot provide an exact overall mean.
However, if both sets have equal importance, we can assume equal weights. In that case, the overall mean would be the average of the means of the two sets, which is (15 + 4.6) / 2 = 9.8.
Please note that without information about the weights assigned to each set, this assumption of equal weights is arbitrary, and the overall mean could differ if the weights are different.
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A gravel company charges a fee for a load of gravel Plus a charge for each mile from
the gravel pit to the final destination of the load. Let x represent the number of
miles to the destination and y
represent the total cost of the load. The charge to deliver a load 40 miles is $280
and the charge to deliver a load 56 miles is $292.
Find the slope.
1) 16
2) 7
3) 0.75
4) 21.3
5) 5.21
The slope of 0.75 corresponds to option 3. So, the correct answer is 3) 0.75.
To find the slope, we can use the formula for the slope of a line:
slope (m) = (change in y) / (change in x)
In this case, x represents the number of miles to the destination and y represents the total cost of the load.
Given that the charge to deliver a load 40 miles is $280 and the charge to deliver a load 56 miles is $292, we can set up two points on the line: (40, 280) and (56, 292).
Now let's calculate the change in y and change in x:
Change in y = 292 - 280 = 12
Change in x = 56 - 40 = 16
Plugging these values into the slope formula:
slope (m) = (change in y) / (change in x) = 12 / 16 = 0.75
Therefore, the slope of the line representing the relationship between the number of miles (x) and the total cost of the load (y) is 0.75.
Option 3 is correct.
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Given that P(A)=0.450 and P(B)=0.680 and P( A U B)=0.824. Find the probability
The probability of the union of events A and B, P(A U B), is 0.824.
To find the probability, we can use the formula:
P(A U B) = P(A) + P(B) - P(A ∩ B)
Given that P(A) = 0.450, P(B) = 0.680, and P(A U B) = 0.824, we can substitute these values into the formula:
0.824 = 0.450 + 0.680 - P(A ∩ B)
To find the probability of the intersection of events A and B (P(A ∩ B)), we rearrange the equation:
P(A ∩ B) = 0.450 + 0.680 - 0.824
P(A ∩ B) = 1.130 - 0.824
P(A ∩ B) = 0.306
Therefore, the probability of the intersection of events A and B, P(A ∩ B), is 0.306.
We can also calculate the probability of the union of events A and B, P(A U B), by substituting the given values into the formula:
P(A U B) = P(A) + P(B) - P(A ∩ B)
P(A U B) = 0.450 + 0.680 - 0.306
P(A U B) = 0.824
Therefore, the probability of the union of events A and B, P(A U B), is 0.824.
In summary, we have found that the probability of the intersection of events A and B, P(A ∩ B), is 0.306, and the probability of the union of events A and B, P(A U B), is 0.824, based on the given probabilities.
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MATH QUESTION HELP PLS!
Stephen predicted that he would sell 50 cakes at his school bake sale. However, only 45 were sold. What was Stephen's percent error?
Q.14 In the figure given below, let the lines 1, and 1, be parallel and t is transversal. Find
the value of x.
J
Answer:
I wish you good luck in finding your answer
Answer: 115
Step-by-step explanation:
What type of function is represented by the table of values below?
O A. exponential
B. linear
OC. cubic
D. quadratic
X
1
2
3
4
5
y
4
8
12
16
20
Answer:
B. linear
Step-by-step explanation:
You want to know the type of function represented by the table of values ...
x: 1, 2, 3, 4, 5y: 4, 8, 12, 16, 20DifferencesWhen the differences in x-values are 1 (or some other constant), the differences in y-values will tell you the kind of function you have.
Here, the "first differences" are ...
8 -4 = 412 -8 = 416 -12 = 420 -16 = 4They are constant with a value of 4.
The fact that first differences are constant means the function is a first-degree (linear) function.
The table represents a linear function.
__
Additional comment
The function is y = 4x. That is, y is proportional to x with a constant of proportionality of 4.
The level at which differences are constant is the degree of the polynomial function. The differences of first differences are called "second differences," and so on. A cubic function will have third differences constant.
If differences are not constant, but have a constant ratio, the function is exponential.
<95141404393>
Will give Branliest Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which linear graph represents a proportional relationship? a graph of a line that passes through the points 0 comma 0 and 2 comma negative 1 a graph of a line that passes through the points 0 comma 1 and 1 comma 3 a graph of a line that passes through the points 0 comma 3 and 1 comma 3 a graph of a line that passes through the points 0 comma negative 1 and negative 1 comma 2
Answer:On a coordinate plane, a straight line with positive slope goes through points (3, 3) and (4, 4).
Step-by-step explanation:
Find the cardinality of the set R₁ \ (R₁ intersection ,)(o a f k q t i s c s, (R₂).Find the value of x, y and z such that the value of polynomial 2x² + y² + 22 - 8x + 2y - 2xy + 2xz-16z + 35 is zero.
Answer:
To find the cardinality of the set R₁ \ (R₁ ∩ R₂), we need the specific values of sets R₁ and R₂. Please provide the values of these sets for a more accurate answer.
Regarding the polynomial 2x² + y² + 22 - 8x + 2y - 2xy + 2xz - 16z + 35, we can set it equal to zero and solve for x, y, and z.
2x² + y² + 22 - 8x + 2y - 2xy + 2xz - 16z + 35 = 0
To solve this equation, we need more information or specific values assigned to the variables x, y, and z. Please provide the values or any additional conditions for finding the values of x, y, and z.
1.Lim as x approaches 0
(sin3x)/(2x-Sinx)
2. Lim as x approaches infinity
x^-1 lnx
3. Lim x approaches infinity
x/ e^x
Using L’Hospals rule for all
Lim as x approaches 0: (sin3x)/(2x-Sinx)
Taking the derivative of the numerator and denominator separately:
Numerator: d/dx(sin3x) = 3cos3x
Denominator: d/dx(2x - sinx) = 2 - cosx
Now, evaluate the limit using L'Hôpital's Rule:
Lim as x approaches 0: (3cos3x)/(2 - cosx)
Plugging in x = 0:
Lim as x approaches 0: (3cos(0))/(2 - cos(0))
= 3/2
Therefore, the limit as x approaches 0 of (sin3x)/(2x-Sinx) is 3/2.
Lim as x approaches infinity: x^-1 lnx
Taking the derivative of the numerator and denominator separately:
Numerator: d/dx(x^-1 lnx) = (1/x)lnx
Denominator: d/dx(1) = 0
Since the denominator is 0, we cannot apply L'Hôpital's Rule. However, we can still evaluate the limit:
Lim as x approaches infinity: x^-1 lnx
As x approaches infinity, the natural logarithm (lnx) grows without bound, so the overall limit is 0.
Therefore, the limit as x approaches infinity of x^-1 lnx is 0.
Lim x approaches infinity: x/ e^x
Taking the derivative of the numerator and denominator separately:
Numerator: d/dx(x) = 1
Denominator: d/dx(e^x) = e^x
Now, evaluate the limit using L'Hôpital's Rule:
Lim as x approaches infinity: 1/ e^x
As x approaches infinity, the exponential function e^x grows without bound, so the overall limit is 0.
Therefore, the limit as x approaches infinity of x/ e^x is 0.
Lesson 24 Review
Directions: Follow the directions in Part A and Part B to complete the assignment.
Part A
Directions: Find the missing value in the following right triangles.
Note: use your calculator and round all answers to whole numbers.
1. a=4, b=?. c=10
2. a=?, b=3, c= 12
3. a=6. b=? c= 14
4. a=7.
b=?.
C= 12
5. a=?. b=9.
C= 10
6. a=3. b=?.
c=6
7. a=?, b= 11, c=14
8. a=10. b=?. c= 12
9. a=15, b=?, c=25
10. a =?, b= 12, c=12
1. The missing value is b ≈ 10.
2. The missing value is a ≈ 12.
3. The missing value is b ≈ 13.
4. The missing value is b ≈ 10.
5. The missing value is a ≈ 4.
6. The missing value is b ≈ 5.
7. The missing value is a ≈ 11.
8. The missing value is b ≈ 6.
9. The missing value is b ≈ 20.
10. The missing value is a = 0.
Using the Pythagorean theorem, we can solve for b:
[tex]b^2 = c^2 - a^2b^2 = 10^2 - 4^2b^2 = 96b ≈ 10[/tex]
2. Using the Pythagorean theorem, we can solve for a:
[tex]a^2 = c^2 - b^2a^2 = 12^2 - 3^2a^2 = 135a ≈ 12[/tex]
3. Using the Pythagorean theorem, we can solve for b:
[tex]b^2 = c^2 - a^2b^2 = 14^2 - 6^2b^2 = 160b ≈ 13[/tex]
4. Using the Pythagorean theorem, we can solve for b:
[tex]b^2 = c^2 - a^2b^2 = 12^2 - 7^2b^2 = 95b ≈ 10[/tex]
5. Using the Pythagorean theorem, we can solve for a:
[tex]a^2 = c^2 - b^2a^2 = 10^2 - 9^2a^2 = 19a ≈ 4[/tex]
6. Using the Pythagorean theorem, we can solve for b:
[tex]b^2 = c^2 - a^2b^2 = 6^2 - 3^2b^2 = 27b ≈ 5[/tex]
7. Using the Pythagorean theorem, we can solve for a:
[tex]a^2 = c^2 - b^2a^2 = 14^2 - 11^2a^2 = 123a ≈ 11[/tex]
8. Using the Pythagorean theorem, we can solve for b:
[tex]b^2 = c^2 - a^2b^2 = 12^2 - 10^2b^2 = 44b ≈ 6[/tex]
9. Using the Pythagorean theorem, we can solve for b:
[tex]b^2 = c^2 - a^2b^2 = 25^2 - 15^2b^2 = 400b ≈ 20[/tex]
10. Using the Pythagorean theorem, we can solve for a:
[tex]a^2 = c^2 - b^2a^2 = 12^2 - 12^2a^2 = 0a = 0[/tex]
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Question 5 (1 point)
For the following observations: 2, 5, 3, 2, 4, 6, 2, 4, the mode equals
1) 2
2) 3
3) 4
4) none of the other answers
The mode of the given observations 2, 5, 3, 2, 4, 6, 2, 4 is 2, so the correct answer is 1) 2.
To find the mode of a set of observations, we need to identify the value that appears most frequently.
Let's analyze the given observations: 2, 5, 3, 2, 4, 6, 2, 4.
Looking at the observations, we can see that the number 2 appears three times, while the numbers 5, 3, 4, and 6 appear only once each.
Since the number 2 appears more frequently than any other number in the set, the mode of these observations is 2.
Therefore, the correct answer is 1) 2.
The mode is a measure of central tendency that represents the most commonly occurring value in a data set.
It can be useful in identifying the most frequent value or category in a dataset.
In this case, the mode of the given observations is 2 because it appears more frequently than any other number.
It's important to note that a dataset can have multiple modes if there are two or more values that occur with the same highest frequency. However, in this specific case, the number 2 is the only value that appears more than once, making it the mode.
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This Venn diagram shows sports played by 10 students.
Karl
Jada
Gabby
PLAYS
BASKETBALL
O A=0.50
OB. 0.29
OC. =0.40
D.
=0.20
Fran
Juan
lan
Ella
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
PLAYS
SOCCER
Mickey
Mai
Marcus
The conditional probability for this problem is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
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4
cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a diamond? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
[tex] \frac{1}{4} [/tex]
Answer:
the probability that at least one of the cards drawn is a diamond is 5/32
Step-by-step explanation:
In a standard 52-card deck, there are 13 diamond cards,
Now,
The probability of a card being a diamond is ,
P = 13/52
P = 1/4
Now, we have to find the probability that atleast one of the 4 cards is a diamond, we calculate the probabilities,
There is 1 diamond in the 4 cards,
Hence the other 3 are not diamonds i.e the porbability for not being a diamond is,
N = 1-1/4 = 3/4
So,
The total probability is,
T1 = (3/4)(3/4)(3/4)(1/4)
T1 = 27/256
There are 2 diamonds in the 4 cards,
And the other 2 are not diamonds, we get,
T2 = (1/4)(1/4)(3/4)(3/4)
T2=9/256
There are 3 diamonds in the 4 cards,
and 1 is not,
T3 = (1/4)(1/4)(1/4)(3/4)
T3 = 3/256
ALL FOUR are diamonds,
T4 = (1/4)(1/4)(1/4)(1/4)
T4 = 1/256
Hence, the probability that at least 1 is a diamond is,
T = T1 + T2 + T3 + T4
T = (27/256) + (9/256) + (3/256) + (1/256)
T = 40/256
T = 5/32
Find the measure of the numbered angles
Look at picture for reference
Show work when possible
The measure of the numbered angles in the rhombus is determined as angle 1 = 90⁰, angle 2 = 57⁰, angle 3 = 45⁰, and angle 4 = 45⁰.
What is the measure of the numbered angles?The measure of the numbered angles is calculated by applying the following formula as follows;
Rhombus has equal sides and equal angles.
angle 2 = angle 57⁰ (alternate angles are equal)
angle 1 = 90⁰ (diagonals of rhombus intersects each other at 90⁰)
angle 3 = angle 4 (base angles of Isosceles triangle )
angle 3 = angle 4 = ¹/₂ x 90⁰
angle 3 = angle 4 = 45⁰
Thus, the measure of the numbered angles in the rhombus is determined as angle 1 = 90⁰, angle 2 = 57⁰, angle 3 = 45⁰, and angle 4 = 45⁰.
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Write an inequality and solve.
Negative one hundred eighty three is at least nine more than 24 times a number.
Answer: -8 ≥ x
Step-by-step explanation:
Let x be the number, we set up an inequality:
-183 ≥ 9 + 24x [we use ≥ to present "at least"]
-192 ≥ 24x
-8 ≥ x
expresa en litros 4m³
4 cubic meters is equal to 4000 liters. 4 m³ becomes 4000 liters.
To express 4 m³ in liters, we first need to understand the conversions between cubic meters (m³) and liters (L).
1 cubic meter (1 m³) is equal to 1000 liters (1000 L). This is because 1 meter is equal to 100 centimeters, and when cubed, we get 100 cm x 100 cm x 100 cm = 1,000,000 cm³. And since 1 liter is equal to 1,000 cubic centimeters (1 L = 1000 cm³), then 1 m³ is equal to 1,000,000 cm³ / 1000 cm³ = 1000 liters.
Now, we can use this information to convert 4 m³ to liters:
4 m³ * 1000 L/m³ = 4000 liters
Therefore, 4 cubic meters is equal to 4000 liters.
In short, to convert cubic meters to liters, we multiply the value in cubic meters by 1000 to get the equivalent in liters. In this case, 4 m³ becomes 4000 liters. It is important to remember that this conversion is valid for substances that have a density similar to water, since the relationship between cubic meters and liters can vary for different substances.
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what is the quotient of the rational expressions shown below? make sure your answer is in reduced form x^2-16/x+5 divided by x^2-8x+16/2x+10
The quotient of the given rational expressions, (x^2 - 16)/(x + 5) divided by (x^2 - 8x + 16)/(2x + 10), is (x - 4)/(x - 4), which simplifies to 2.
To divide rational expressions, we invert the second expression and multiply it with the first expression. So, we have:
[(x^2 - 16)/(x + 5)] / [(x^2 - 8x + 16)/(2x + 10)]
To simplify this expression, we can multiply by the reciprocal of the second rational expression:
[(x^2 - 16)/(x + 5)] * [(2x + 10)/(x^2 - 8x + 16)]
Next, let's factorize the numerators and denominators of both expressions:
[(x + 4)(x - 4)/(x + 5)] * [2(x + 5)/((x - 4)(x - 4))]
Now, we can cancel out the common factors:
[(x + 4) * 2(x + 5)] / [(x + 5) * (x - 4)(x - 4)]
The (x + 5) factors cancel out:
[(x + 4) * 2(x + 5)] / [(x - 4)(x - 4)]
Further simplification:
[2(x + 4)(x + 5)] / [(x - 4)(x - 4)]
Now, we observe that the factors (x - 4)(x - 4) are the same in the numerator and denominator. Therefore, they cancel out:
2(x + 4)(x + 5) / (x - 4)(x - 4) = 2(x + 4)(x + 5) / (x - 4)(x - 4) = 2
Therefore, the quotient of the given rational expressions is 2.
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A sample of size n = 10 is drawn from a population. The data is shown below.
115.6
109.3
126
104.9
131.9
113.7
119.8
98.6
131.9
131.9
What is the range of this data set?
What is the standard deviation of this data set? (Remember, it is a sample.) Please report the answer with appropriate rounding, reporting 2 more decimal places than the original data.
Answer:
first, arrange the numbers from least to greatest order. (Actually this is a longer step, if you also want to find the median. But since you are only asking for range and standard deviation, I won't do that here.) So, just find the lowest number and the highest number. Subtract the lowest from the highest. That is your range.
Your problem:
lowest: 98.6
highest: 131.9
subtract: 131.9 - 98.6 = 33.3 ← this is your range
Now, standard deviation.
Standard deviation is the amount of variety you have in your data sample.
Step 1: Find the mean
Add up all your numbers and divide by how many numbers you have.
You have 10 numbers in your sample.
115.6 + 109.3 + 126 + 104.9 + 131.9 + 113.7 + 119.8 + 98.6 + 131.9 + 131.9
total = 1,183.6
now divide this by 10. (n is the variable used here, so n = 10. This is because you have ten numbers. )
so n = 10
and 1,183.6/10 = 118.3
Now subtract each number by 118.3.
115.6 - 118.3 = -2.7
109.3 - 118.3 = -9
126 - 118.3 = 7.7
104.9 - 118.3 = -13.4
131.9 -118.3 = 13.6
113.7 - 118.3 = -4.6
119.8 - 118.3 = 1.5
98.6 - 118.3 = -19.7
131.9 - 118.3 = 13.6
131.9 - 118.3 = 13.6
now square all these numbers
7.29
81
59.29
179.56
184.96
21.16
0.75
388.09
184.96
184.96
Find the sum of these squares now. (We're almost done!)
sum = 1,292.02
remember our n?
it was n=10
now the formula for this is,
sum of squares ÷ n-1
substitute all this in.
1,292.02 ÷ 9 = 143.55
Remember. This is the VARIANCE. NOT the standard deviation.
The last step to find the standard deviation is, to find the square root of what we got. (143.55)
√143.55
= 11.9812353286 this is the number, but rounded two more decimal places is..
11.98 is the standard deviation.
Hope this helped!
5. A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°. Another person at point B, notes that the angle of elevation to the top of the
cliff is 45°. If the height of the cliff is 80.0 m, find the distance between A and B. Show the steps of your solution.
Answer:
In a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg. So AC = 80√3.
In a 45°-45°-90° triangle, both legs are congruent. So BC = 80.
AB = AC - BC = (80√3 - 80) meters
= 80(√3 - 1) meters
= about 58.56 meters
The distance between points A and B is approximately 138.6 meters.
To find the distance between points A and B, we can use the concept of trigonometry and the given information.
Let's denote the distance between points A and B as x.
From point A, the angle of elevation to the top of the cliff at point D is 30°. This means that in the right triangle formed by points A, D, and the top of the cliff, the opposite side is the height of the cliff (80.0 m) and the adjacent side is x. We can use the tangent function to calculate the length of the adjacent side:
tan(30°) = opposite/adjacent
tan(30°) = 80.0/x
Simplifying the equation, we have:
x = 80.0 / tan(30°)
Using a calculator, we can find the value of tan(30°) ≈ 0.5774.
Substituting the value, we get:
x = 80.0 / 0.5774
Calculating the value, we find:
x ≈ 138.6 meters
In light of this, the separation between positions A and B is roughly 138.6 metres.
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Divide. (4x^3− 12x + 11) ÷ (2x − 2)
if 2540cm is increase by 15%, the result is
Answer:
2921
Step-by-step explanation:
[tex]2540 + 2540 * \frac{15}{100} \\\\= 2540 + 381\\\\= 2921[/tex]
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
GEOMETRY 100 POINTS
TY
Answer:
A.
Step-by-step explanation:
In this case, we have to use tan ([tex]\frac{opposite}{adjacent}[/tex] because we are asked for the opposite side (x) given the adjacent side (20 m).
So tan(75)=[tex]\frac{x}{20}[/tex]
Solve for x
x = 20 * tan(75)
x = 74.641...
x = 74.64 m
Answer:
The height is 74.64 meters
Step-by-step explanation:
We have a ΔABC with ∠B = 75°, hypotenuse = AB
[tex]cos\; 75\textdegree = \frac{\sqrt{3} -1}{2\sqrt{2} }\\\\\frac{1}{cos\; 75\textdegree} = \frac{2\sqrt{2} }{\sqrt{3} -1}[/tex]
cos B = adjacent/hyppotenuse
⇒ hypotenuse (AB) = adjacent/cosB = 20/cosB
[tex]= 20 \frac{2\sqrt{2} }{\sqrt{3} -1}\\\\= \frac{40\sqrt{2} }{\sqrt{3} -1}\\\\= 77.27[/tex]
⇒ AB = 77.27
By pythagoras theorem,
AB² = AC² + BC²
⇒ AC² = AB² - BC²
= 77.27² - 20²
AC² = 5570.65
⇒ AC = √5570.65
AC = 74.64
A bank deposit paying simple interest grew from an initial amount of $1300 to $1365 in 3 months. Find the interest rate.
%/year
Answer:
the interest rate. : 5%
[(1365-1300)/1300]*100 = 5%
Step-by-step explanation:
Pregunta 1
Resuelve el siguiente problema aplicando las estrategias de solución de problemas.
• El área de un triángulo es de 30 pies cuadrados y la base mide 5 pies. ¿Cuál es la
altura del triángulo en pulgadas?
Answer:
I can't understand the language but try people who can
Use the LinReg(ax+b) function in the calculator to determine the regression line for the following data:
X 14.56 13.58 12.69 14.87 15.68 14.28
Y 0.25 0.84 0.71 0.65 0.35 0.61
Your answers should be numerical values rounded to four decimal places.
The regression line is y =
Check
x+
The regression line is y = -0.1471x + 2.2386.
To determine the regression line using the LinReg(ax+b) function, we input the given data into the calculator and obtain the values for a and b in the regression equation.
Using the LinReg(ax+b) function with the given data, we have:
X: {14.56, 13.58, 12.69, 14.87, 15.68, 14.28}
Y: {0.25, 0.84, 0.71, 0.65, 0.35, 0.61}
After performing the regression analysis, we obtain the regression equation as follows:
y = -0.2012x + 3.4986
Therefore, the regression line is y = -0.2012x + 3.4986.
Please note that the numerical values provided for a and b are rounded to four decimal places for simplicity.
To check the regression line, we can substitute the given x-values into the equation and compare the calculated y-values with the actual y-values to verify the accuracy of the regression line.
For similar question on regression line.
https://brainly.com/question/17004137
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Divisores pares de 100
Answer:
2, 4, 10, 20, 50, and 100.
Step-by-step explanation:
WHOEVER CAN ANSWER 50 POINTS IF U CAN SOLVE IT PLEASE IM DESPERATE
Answer:
First, the graph is overall decreasing with two local maximums and two local minimums.
Second, it has 5 zeros, since there is one intersection and two touching points with the x-axis.
Considering the above observations we can state that:
The degree of f(x) is odd;The leading coefficient is negative;There are 5 distinct zeros;There are 2 relative maximum values.