The value of the secant angle will be equal to 60°.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the secant angle secθ is equal to 2. The value of the angle will be calculated as,
secθ = 2
θ = sec⁻¹(2)
θ = 60°
The secant angle will have a value of 60°.
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I need help desperately
Answer:
0.5
Step-by-step explanation:
What is 2+2?
A. 4
B. 2
C. 1
D. 0
Answer:
A. 4
Step-by-step explanation:
2+2=4
Adding
question 1: Find the percent of change to the nearest tenth of a percent for Centerville
question 2: Which town had the greatest percent of change
question 3: What was the percent of change? (From your answer in Part B) Do Not Include 'Increase' or 'Decrease.' Round to the nearest whole percent.
The Population Changes table indicate the following percent of change of the three towns
Question 1: The percent of change for Centerville is about 29.6%
Question 2: The town with the greatest percent of change is Riverview
Question 3: The percent of change for Riverview is about 51%
What is a percent of change?A percent of change is the change in the value of a parameter, expressed as a percentage.
Question 1: The population Centerville in 2000 = 37,065
The population of Centerville in 2010 = 26,102
The percentage change can be found using the formula;
[tex]Percentage \ change=\dfrac{New \ value - Initial \ value}{Initial\ value} \times 100[/tex]
The percentage change for Centerville is therefore;
[tex]Percentage \ change=\dfrac{Population \ in \ 2010-Polulation \ in \ 2000}{Population \ in \ 2000} \times 100[/tex]
From which we get;
[tex]Percentage \ change \ for \ Centerville=\dfrac{26102-37065}{37065} \times 100 \approx -29.6\%[/tex]
The percentage of change for Centerville is a reduction in the population by about 29.6%Question 2:
The percent of change for the town of Lakeside is found as follows;
Percentage change = ((45,863 - 51,342)/(51,342)) × 100 ≈ -10.7%
The percent of change of the population of Riverview is found using the percentage change formula as follows;
Percentage change = ((63017 - 41726)/(41726)) × 100 = 51%
Therefore, the town that had the greatest percent of change is is Riverview
Question 3: The percent of change for Riverview is about 51%
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Twice the measure of an angle is 18° more than the complement of the angle. Find the measure of the angle and the measure of its complement.
Answer:
Below
Step-by-step explanation:
angle = x
complement = 90 - x
complement also is given as 2x-18
2x-18 = 90 - x
3x = 108
x = 36° then complement = 90-x = 54°
Challenge An airplane is preparing to land at an airport it is 42,000 feet above the ground and is descending at the rate of 3,500 feet per minute. At the same airport, another airplane is taking
off and will ascend at the rate of 2,500 feet per minute When will the two airplanes be at the same astude and what will that altitude be? Use pencil and paper. Use two other methods to solve
the problem.
Answer:
To solve this problem, we first need to find out how much time it will take for the airplane that is descending to reach the same altitude as the airplane that is ascending. To do this, we can use the formula d = r * t, where d is the distance, r is the rate, and t is the time.
In this case, the distance is the difference between the starting altitudes of the two airplanes, which is 42,000 feet for the descending airplane and 0 feet for the ascending airplane. The rate is the rate at which the descending airplane is descending, which is 3,500 feet per minute. Plugging these values into the formula, we get:
d = r * t
d = (3,500 feet/minute) * t
d = 42,000 feet
Solving for t, we get:
t = d / r
t = (42,000 feet) / (3,500 feet/minute)
t = 12 minutes
So it will take 12 minutes for the descending airplane to reach the same altitude as the ascending airplane.
To find the altitude at which the two airplanes will be at the same altitude, we can use the formula d = r * t, where d is the distance, r is the rate, and t is the time. In this case, the distance is the altitude at which the two airplanes will be at the same altitude, the rate is the rate at which the ascending airplane is ascending, which is 2,500 feet per minute, and the time is the time it will take for the descending airplane to reach the same altitude as the ascending airplane, which we calculated to be 12 minutes.
Plugging these values into the formula, we get:
d = r * t
d = (2,500 feet/minute) * (12 minutes)
d = 30,000 feet
Therefore, the altitude at which the two airplanes will be at the same altitude is 30,000 feet.
There are several other ways we could have solved this problem. For example, we could have used the formula d = r * t to find the altitude of the ascending airplane at the same time that the descending airplane reaches the same altitude, and then subtracted the starting altitude of the ascending airplane (0 feet) from this value to find the altitude at which the two airplanes will be at the same altitude.
Another way to solve this problem is to use the formula d = (v1 + v2) * t / 2, where d is the distance, v1 and v2 are the rates at which the two airplanes are moving, and t is the time. In this case, we can set d equal to the difference between the starting altitudes of the two airplanes, v1 equal to the rate at which the descending airplane is descending, v2 equal to the rate at which the ascending airplane is ascending, and t equal to the time it will take for the descending airplane to reach the same altitude as the ascending airplane.
Plugging these values into the formula, we get:
d = (v1 + v2) * t / 2
d = (3,500 feet/minute + 2,500 feet/minute) * (12 minutes) / 2
d = (6,000 feet/minute) * (12 minutes) / 2
d = (72,000 feet) / 2
d = 36,000 feet
Therefore, the altitude at which the two airplanes will be at the same altitude is 36,000 feet.
We can also solve this problem using a table to track the altitude of the two airplanes over time. We can start by making a table with
Alan opened a $10,000 line of revolving credit at the bank. How
much can he borrow if he has already borrowed $2,000 and paid
back $500 of that amount?
The amount that Alan can be able to borrow for credit balance is $8,500.
What is credit balance?
The capacity to access products or services or borrow money with the idea that you'll pay for them later is known as credit. An amount that the card issuer owes you can be seen as a credit balance on your billing statement. With each payment you make, credits are added to your account. When you return something you purchased with a credit card, a credit might be added.
Given, total limit = $10,000
Borrowed amount = $2,000
paid back = $500
So, remaining amount that he can borrow = $10,000 - $2,000 + $500
= $8,500
Hence, he can be able to borrow $8,500.
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Graph line with slope -5 and y-intercept 6
Answer:
y=-5x+6
Step-by-step explanation:
y=mx+b
y=-5x+6
A pilot study of electro-mechanical protection devices used in electrical power systems showed that of 193 devices that failed when tested, 75 failed due to mechanical parts failures. (a) How large a sample is required to estimate the population proportion to within an error of 0.03 with 95% confidence? (b) what would your answer be if no information from a pilot study are available?
(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.
(b) A sample size of 393.22 would be required if no information from a pilot study is available.
What is a sample size?
Sample size refers to the number of observations or measurements that are taken from a larger population as part of a statistical study. In statistical analysis, a sample is a subset of the population being studied, and the sample size is the number of observations or units of analysis included in the sample.
To answer this question, we need to use the formula for the sample size of a proportion:
[tex]n = \frac{Z^2 * p * (1 - p))}{e^2}[/tex]
Where n is the sample size, Z is the z-score corresponding to the desired confidence level (in this case, Z = 1.96 for a 95% confidence level), p is the estimated population proportion (in this case, p = 0.75 based on the information provided in the question), and e is the desired margin of error (in this case, e = 0.03).
Plugging these values into the formula, we get:
[tex]n = \frac{(1.96^2 * 0.75 * 0.25)}{0.03^2} \\\\n= 784.44[/tex]
If no information from a pilot study is available, we would need to use a default value for p (such as p = 0.5) in the formula. In this case, we would get:
[tex]n = \frac{(1.96^2 * 0.5 * 0.5)}{0.03^2}\\\\n= 393.22[/tex]
Hence,
(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.
(b) A sample size of 393.22 would be required if no information from a pilot study is available.
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Assume that each Box object has the properties x, y, width, height and have their origin at their center, and that neither the objects nor the bounding boxes rotate.
As you stated, a convention is as follows: x, y, w, h; likewise, the origin of the picture is from top left, not really the bottom left, as indicated by your drawing. The clusters for top left the box's corner are x, y, and w, h.
The bounding box for object detection may be located in what way?Box Bounding In order to characterize the target position in object recognition, we often utilize a bounding box. Both x and y axis values there at upper-left corner as well as the x and y axes coordinates inside the bottom part of the rectangular define the bounding box, which is a rectangular box.
How can I determine the rectangle's bounding box?The x - axis and y axis values at the upper-left corner as well as the x and y axis values inside the bottom part of a rectangle define the bounding box, which is a rectangular box. Based on the image, we will create the bounding boxes for the dog and cat.
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How many quarts of pute antifreeze must be added to 3 quarts of a 20% antifreeze solution to obtain a 40% antifreeze solution
Answer: 0.6
Explanation: I am going to break them into steps, so that you can understand them more clearly.
Step 1: Find how much the amount of water is needed:
0.4(3 quarts + x quarts) = (0.6 quarts + x)
Step 2: Find how much the quarts is divided by 0.6:
1.2 + 0.4x = 0.6 + x
Step 3: each quart is equal to 1 therefore:
x = 1 quart - which is 0.6
Message: If this was helpful, let me know by giving me a thanks! :)
Wanda drove for w hours on a trip. Wanda's husband
drove 3 hours more than she did. Which expression
represents the total time they spent driving?
A. w+6
B. 2w+3
C. w-6
D. 2w -3
By using the concept of addition, it can be calculated that-
The total time they spent driving = 2w + 3
Option b is correct
What is addition?
Suppose there are many numbers, and we need to find the sum total of all those integers, then the operation used in this case is called addition
This is a word problem on addition
Wanda drove for w hours on a trip.
Wanda's husband drove 3 hours more than she did.
Time for which Wanda's husband drove = w + 3
The total time they spent driving = w + w + 3
= 2w + 3
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Please help! No work needed!!!!
The limit intercepted by the given function, f'(8) is [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]
What is limit?A limit is a value toward which an expression converges as one or more variables approach certain values, a limit tells us the value of a function when its input closes to a certain value. Limits are used to define continuity, derivatives, and integrals. The limit of a product is equal to the product of the limits. The limit of a quotient is equal to the quotient of the limits. The limit of a constant function is equal to the constant.
Given that a function, f(x) = ∛x
The formula for applying the limit is :-
The first derivative is given by,
f'(x) = limx->c (f(x) - f(c))/(x-c)
Applying limit, we get,
f'(x) = [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]
Hence, The limit intercepted by f'(8) is [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]
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The four members of a singing quartet are buying new outfits. The shirts are $21, the pants are $26, the hats are $6 and the canes
are $13. What is the total cost of the new outfits for all the members?
O $264
O $284
O $244
O $224
The total cost of the new outfits for all the members is $264. So, the correct answer is option A.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, the shirts are $21, the pants are $26, the hats are $6 and the canes are $13.
Here, the cost of outfits for a person is
(21+26+6+13)=66
The cost of outfits for the four members is
66×4=$264
Therefore, option A is the correct answer.
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Please help I DONT understand!!
Answer:7 meter
Step-by-step explanation:8 meter and 5meter are both sides and perimeter is all side added together so 8+5 is 13 meter and u must have 20 so take the 13 m and subtract it 20m-13m=7m
and there you get answer
Given the conditional statement ~p q, which statement is logically equivalent? p ~q. ~p ~q. ~q ~p. ~q p.
Answer: contrapositive ⌝Q→⌝P.
33. Express regularity in repeated reasoning. If
5 miles is the distance a cyclist travels in
20 minutes, then how many miles does the cyclist
travel in 1 minute?
5 miles is the distance a cyclist travels in 20 minutes, then 0.25 miles does the cyclist travel in 1 minutes.
What is miles unit in distance?A mile was equivalent to 1,000 Roman strides, with a stride being equal to two paces. The term "mile" is derived from the Latin "mille passus," which means "one thousand paces." The English Parliament established the Mile at eight furlongs (one furlong is 660 feet) in 1592. 5,280 feet, 1,760 yards, or around 1,609 meters make up a mile. On July 1, 1959, an international agreement established the mile's precise measurement at 1609.344 metres. Currently, the mile is the only unit of measurement used in the US and UK.
So, a mile is one of many different distance units.
Given that,
In 20 minutes a cyclist travels distance of 5 miles
So, in 1 minutes cyclist travels distance of [(5/20) × 1] miles
= 0.25 miles
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find the slope of the line passing through the points (7, -1 ) and ( 3, -6)
Answer:
1
Step-by-step explanation:
m = y2-y1 / x2-x1
m = -6+1 / 3-7
m = -5/-5
m = 1
Answer:
Slope = -5/4
Step-by-step explanation:
Can you please help mee pls
Answer: D
Step-by-step explanation: I had this same question before
Which rational Expression Represents x^2 - 9/ 3x^2 * 3x^2 + 9x^2/x-3 when simplified if x ≠ 0 or 3.
The required simplified expression is: x² - 9/ 9x⁴ + 9x² for all x ≠ 0 or 3.
The given expression below is:
x² - 9 / (3x²)(3x²) + 9x²
To simplify the given expression, we must first distribute the terms on the numerator and denominator.
The numerator becomes x² - 9 and the denominator becomes (3x²)(3x²) + 9x².
Next, we must simplify the denominator by combining like terms. The denominator becomes 9x⁴ + 9x².
Finally, we can simplify the entire expression by dividing the numerator by the denominator.
This gives us the simplified expression: x² - 9/ 9x⁴ + 9x².
Note that this expression is not defined when x = 0 or x = 3, as it would result in a division by zero.
Thus, the final simplified expression is x² - 9/ 9x⁴ + 9x² for all x ≠ 0 or 3.
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If 1/5 of the distance from the x-axis to the point A(2a+3,3a+4) is equal to 6/7 of the distance from the y-axis to the point B(4-a,5-a). What is the value of a, if a>5?
The fraction of the distances of the points A(2·a + 3, 3·a + 4), and B(4 - a, 5 - a) from the x- and y-axis and the value of a > 5, indicates that the value of a is 16.[tex]\overline{4}[/tex]
What is a fraction in mathematics?A fraction is a representation of the amount a part of an item compared to the whole of the item.
The distance from the x-axis to the point A(2·a + 3, 3·a + 4) = 3·a + 4
The distance from the y-axis to the point B(4 - a, 5 - a) = 4 - a
Therefore; 1/5 of the distance from the x-axis to the point A(2·a + 3, 3·a + 4) is (1/5) × (3·a + 4)
6/7 of the distance from the y-axis to the point B(4 - a, 5 - a) is (6/7) × (4 - a)
The details in the question indicates; (1/5) × (3·a + 4) = (6/7) × (4 - a)
However, if a > 5, then 4 - a < 0, while (3·a + 4) > 0, from which we get;
If a > 5, then, (1/5) × (3·a + 4) = (6/7) × (a - 4)
[tex]\dfrac{1}{5} \times (3\cdot a + 4) = \dfrac{6}{7} \times (a -4)[/tex]
7 × (3·a + 4) = 5 × 6 × (a - 4)
21·a + 28 = 30·a - 120
30·a - 21·a = 9·a = 120 + 28 = 148
a = 148/9 = 16.[tex]\overline 4[/tex]
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Find g(x), where g(x) is the translation 4 units left of f(x)=3x–10.
Write your answer in the form mx+b, where m and b are integers.
The function f(x) after translation by 4 units left is g(x) = y = 3x + 2.
What is an expression? What is a expression? What is a mathematical equation? A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is the function as -
f(x) = 3x - 10.
We have the function -
y = 3x - 10
We can write the function f(x) after translation by 4 units left as -
y = 3(x + 4) - 10
y = 3x + 12 - 10
y = 3x + 2
Therefore, the function g(x) can be written as y = 3x + 2
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Callie and her friend Elena are reading through different novels they checked out from their school library last Tuesday. Callie's progress
Calculator:
Neutral
through her novel can be modeled by the function p(d) = -25d. +
318, where p(d) represents the number of pages remaining to be read and dis the number of days since receiving the book. Elena's progress through her novel is modeled by the graph below.I
Answer: 69
Step-by-step explanation: jamal
θ is an acute angle. Find the value of θ in degrees.
sec(θ)=2
The value of θ is 60° and the the value of the equation sec 60° = 2
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the angle be represented as θ
Now , given that the angle θ is acute
Acute angles measure less than 90 degrees
So , the value of θ < 90°
when the value of sec θ = 2
cos θ = 1/sec θ
So , cos θ = 1/2
The value of θ when cos θ is 1/2 is when the angle θ is 60°
Therefore , the value of θ is 60° and sec 60° = 2
Hence , The value of θ is 60° and the the value of the equation sec 60° = 2
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Find the vertex of x^2-4x+3=0.
Is the vertex a minimum or maximum. Explain.
You must show all work to receive full credit.
I asked you if you typed it correctly, and you said that it was typed correctly.
x^2 - 4x + 3 = 0
This is not the equation of a graph, it is vertical lines with infinite slope.
But, if it were a regular function
x^2 - 4x + 3 = y
a b c
To find the vertex, use the vertex formula
-b/2a
-(-4)/2(1)=4/2 = 2.
The vertex is at x = 2
4-8+3=y
y = -1
Coordinates of vertex is (2,-1)
It is a minimum because the coefficient a is a positive number
Hope this helps :)
-Jeron
a pineapple which was bought for $1.00 was sold at $1.30. calculate the profit percent
Answer: 30%
Step-by-step explanation:
First, calculate the difference between the original number and the new number:
1.30 - 1.00 = 0.30
Second, divide the difference by the original number.
0.30/1.00 = 0.3
Third, multiply the answer by 100 to get the percentage. (Remember cent means 100!)
0.3 * 100 = 30
Therefore, the profit per cent was 30%.
Hoped this helped!
Find the opposite of 4p3+9p−2 .
The opposite of the given polynomial 4p³ + 9p - 2 is; -4p³ - 9p + 2
What is the opposite of the number?The opposite of a number is basically its additive inverse. This means the sum of a number and its opposite is zero. We refer to this as the property of opposites.
Thus, we can say that the opposite of −888 is 888 ; the opposite of 25 is −25 ; the opposite of 4 is −4 .
Now, we want to find the opposite of the polynomial given as;
4p³ + 9p - 2
Applying the concept of opposite numbers gives us;
-4p³ - 9p + 2
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Y = -1/4x + 7 solve for slope
Answer:
-1/4
Step-by-step explanation:
y=mx+b
m-slope
b- y-intercept
here, m = -1/4. Slope =-1/4
How do you solve these problems?
Answer: Just look at how far each point is from the x=-3 line and then count to the left of the line how far away it is on the same y-cord and that is the point.
so poin U is 2 away from the x=-3 line so stay at the y line of 4 and then count to the left of the line x=-3 two and you get the point at (-5,4)
Step-by-step explanation:
Write the Roman Numeral CXXXIV in standard???
Answer:
Step-by-step explanation: C is 100 X is 10 IV is 4 since the smaller number is in the front so you subtract instead of add
C=100 3X=30 IV=4
100+30+4=134
CXXXIV=134
Consider the Matrices
The dimensions of the product matrix are:
BD = 2 x 1
DA = 1 x 2
DC = 2 x 3
What is a matrix?A matrix is a form of writing items in rows and columns.
The dimensions of the matrix are written as m x n.
Where m is the number of rows and n is the number of columns.
We have,
The matrix A has dimensions 3 x 2.
The matrix B has dimensions 2 x 2.
The matrix C has dimensions 1 x 3.
The matrix D has dimensions 2 x 1.
The dimensions of the product of two matrices is given as,
A = p x q
B = q x r
AB = p x r
Thus,
The dimensions of the product matrix of BD.
= 2 x 1
The dimensions of the product matrix of CA.
= 1 x 2
The dimensions of the product matrix of DC.
= 2 x 3
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