An isosceles right triangle is inscribed in a circle. The hypotenuse of the triangle is the diameter of the circle. Write a function f in terms of x that represents the area of the shaded region. Leave your answer in terms of π.
Answers
Answer:
9n^-2=75.15
Step-by-step explanation:
Related Questions
Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
Answers
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
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A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
Answers
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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1÷13×2+181÷29383÷2×2=
Answers
You do 1/13 first then multiple by 2, save that answer we use it later, then you do 181/29383 get that answer and divide that answer by 2 and then multiply by 2 and now you take the very first answer we got with the 1/13 * 2 and you add that to the answer you got from 181/29383 divided by 2 multiplied by 2 and that’s how I got my answer.
Answer:
1÷13×2+181÷29383÷2×2= 0.16000617835
2) What is 150% of 136?
3) What is 200% of 185?
4) What is 200% of 17?
5) What is 10% of 40?
6) What is 150% of 32?
7) What is 50% of 502 I
8) What is 10% of 160?
9) What is 125% of 196?
10) What is 50% of 4?
11) What is 100% of 170?
12) What is 100% of 97?
13) What is 125% of 144?
Answers
2. 204
3. 370
4. 140
5. 4
6. 48
7. 251
8. 16
9. 629
10. 2
11. 170
12. 97
13. 180
Answer: 2. 204
3. 370
4. 140
5. 4
6. 48
7. 251
8. 16
9. 629
10. 2
11. 170
12. 97
13. 180
Step-by-step explanation:
What number has 5 hundred thousands, 2 fewer ten thousands than hundred thousands, 2 more thousands than hundred thousands, 2 more hundreds than ten thousands, 2 fewer tens than hundred thousands, and the same number of ones as hundreds?
Answers
Answer:
537,535
Step-by-step explanation:
To solve this, we can first insert the 5 hundred thousands.
5 _ _, _ _ _
To solve for 2 fewer ten thousands than hundred thousands, we can use this equation:
5 - 2 = 3Inserting 3 into the equation:
5 3 _, _ _ _
To solve for 2 more thousands than hundred thousands, we can use this equation:
5 + 2 = 7Inserting 7 into the equation:
5 3 7, _ _ _
To solve for 2 more hundreds than ten thousands, we can use this equation:
3 + 2 = 5Inserting 5 into the equation:
5 3 7, 5 _ _
To solve for 2 fewer tens than hundred thousands, we can use this equation:
5 - 2 = 3Inserting 3 into the equation:
5 3 7, 5 3 _
To solve for the final one, the same number of ones as hundreds, we can just insert 5 into the equation.
5 3 7, 5 3 5
Therefore, the number is 537,535.
help meee please for a lot of points it gotta be to answer choices
Answers
Answer:
B and D
Step-by-step explanation: I got it right
This year, a small business had a total revenue of 89,700 . If this is 38% more than their total revenue the previous year, what was their total revenue the previous year?
Answers
Answer:
Revenue was 55,614 the year before
Step-by-step explanation:
Decay Formula: y = a*(1-r)^x
So:
y = 89700 * (1-0.38)^1
y = 55614
well, their total revenue last year was "x", which oddly enough is 100%. Now, this year's revenue is 38% more than that, well, 100% + 38% = 138%, and we also know that it's 89700, so
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 89700& 138 \end{array} \implies \cfrac{x}{89700}=\cfrac{100}{138}\implies \cfrac{x}{89700}=\cfrac{50}{69} \\\\\\ 69x=4485000\implies x=\cfrac{4485000}{69}\implies x=65000\)
What is the answer, an how can I solve it out
Answers
Answer:
(3,10)
Step-by-step explanation:
The ordered pair is the pair of (origin, f(origin)), so the first value must be 3, and the second is the result of x=3 applied to 3x+1, i.e., 10.
An initial amount of 10,000 bacteria is decreasing continuously at a rate of 2% per day. How many bacteria will there be after 2 weeks?
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there will be approximately 7,389 bacteria after 2 weeks of continuous decrease at a rate of 2% per day.
what is exponential?The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
from the question:
Bacteria are being eliminated at a daily rate of 2%. This means that every day, the quantity of germs reduces by 2% of the previous day's level.
Using the exponential decay method, we can determine how many germs are present after two weeks (14 days):
\(N = N0 * e^(-rt)\)
where N is the number of bacteria after time t, t is the amount of time that has passed in days, r is the rate of reduction (in decimal form), and N0 is the starting number of bacteria.
replacing the specified values:
N0 = 10,000 (initial number of bacteria)
r = 0.02 (rate of decrease is 2% per day)
t = 14 (time elapsed in days)
N = 10,000 *\(e^(-0.02 * 14)\)
Simplifying, we get:
N = 10,000 *\(e^(-0.28)\)
Using a calculator, we get:
N ≈ 7,389
As a result, there will be roughly 7,389 bacteria left after two weeks of steadily declining at a rate of 2% every day.
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A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a rectangle. Which of the following solids could have resulted in that cross section?
Answers
The solid that could have resulted in a rectangular cross-section when cut by a plane perpendicular to its base is a rectangular prism.
We have,
A rectangular prism has a rectangular base and it's top and bottom faces are parallel and congruent to the base.
When cut by a plane perpendicular to its base, the cross-section will always be a rectangle, which is congruent to the base.
Other solids such as cones, cylinders, pyramids, spheres, or irregular shapes cannot have a rectangular cross-section when cut by a plane perpendicular to their base.
Thus,
The solid that could have resulted in a rectangular cross-section when cut by a plane perpendicular to its base is a rectangular prism.
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The population of a town is 20.000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13,000?
Answers
It will take approximately four years for the population to be fewer than 13,000.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The population of the town is 20.000. It decreases at a rate of 9% per year.
The population of the town decreases by 20,000 × 9% = 1,800 people per year.
To determine how many years it takes for the population to fall below 13,000, you can use the formula:
= (20,000 - 13,000) / 1,800
= 3.88 ≈ 4 years
So, it will take approximately 4 years for the population to be fewer than 13,000.
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Write the quadratic equation whose roots are 1 and -1 whose coefficient is 2. (Use the letter x to represent the variable)
Answers
so that our equation has roots in 1 and -1 we are going to express the polynomial in the factored form
so
\(y=a(x-b)(x-c)\)where a is the coefficient, b and c the roots
so replacing
\(\begin{gathered} y=2(x-(-1))(x-(1)) \\ \\ y=2(x+1)(x-1) \end{gathered}\)then solve the multiplication
\(\begin{gathered} y=2((x\times x)+(x\times-1)+(1\times x)+(1\times-1)) \\ y=2(x^2-x+x-1) \\ y=2x^2-2 \end{gathered}\)Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
Answers
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Uma writes 56 words in her journal. The words are shared equally on 7 lines. On the last line, Uma adds 3 words. How many words are on the last line of Uma's journal?
Answers
Answer:
11 words
Step-by-step explanation:
Thera are 56 words shared equally among 7 lines
Therefore there are 56/7 = 8 words per line
On the last line by adding 3 words, there will be 8 + 3 = 11 words
You must be in degree mode to find sin pie/3
A.) True
B.) False
Answers
Answer:
(i) False. Let A = 30° and B = 60°, then sin (A + B) = sin (30° + 60°) = sin 90° = 1 and, sin A + sin B = sin 30° + sin 60° = 1/2 + √3/2 = 1+√3/2(ii) True. sin 0° = 0 sin 30° = 1/2 sin 45° = 1/√2 sin 60° = √3/2 sin 90° = 1 Thus the value of sin θ increases as θ increases.(iii) False. cos 0° = 1 cos 30° = √3/2 cos 45° = 1/√2 cos 60° = 1/2 cos 90° = 0 Thus the value of cos θ decreases as θ increases.(iv) True. cot A = cos A/sin A cot 0° = cos 0°/sin 0° = 1/0 = undefined.
Step-by-step explanation:
Mr. Evans is currently 4 times as old as his son, Dan. If Mr. Evans was 46 years old 2 years ago, how old is Dan now?
Answers
Answer:
the son age is 13band Evans age is 52 years old at present day
Dan is 12 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the Age of Dan is x years
Mr. Evans Age = 4x
If Mr. Evans was 46 years old 2 years ago
The, Present age of Mr. Evans = 48 years
So, Dan's Age = 48/4
= 12 years.
Hence, Dan is 12 years old.
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At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answers
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
If the image is rotated about the x-axis, which of the following images best represents the result?
A. Y
B. Z
C. X
D. W
Answers
The images best represents the result is image W.
We have, the image is rotated about the x-axis.
Now, rotating around x axis can give the other half of the image.
Also, rotating about x axis gives the mirror image of the figure.
So, the rotation leads to a circle.
and, In three dimensional we can say that Sphere.
Thus, the required image is W.
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Solve each equation by completing the square.
d² - 24d + c
Answers
Answer:
d² - 24d + c = (d - 12)² - 144 + c
Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answers
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
In the given figure, which angle is complementary to <4
Answers
Answer: The definition of a complementary angle is "Either of two angles whose sum is 90°." Thus the complementary angle for 4 is angle 5.
P.S. if you feel this answer is satisfactory I would appreciate it if you would mark it brainiest.
Kacie just bought a new house and needs to buy new sod for her backyard, if the dimensisons of her yard are 33.5 feet by 13.6 feet, what s the area if her yard
Answers
Allison measured a line to be 19.4 inches long. If the actual length of the line is 19.1
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
Answers
It can be noted that the percentage error made by Allison will be 1.6%
How to solve the percentageFrom the information given, Allison measured a line to be 19.4 inches long and the actual length of the line is 19.1.
Therefore, the percentage error will be:
= (19.4 - 19.1)/19.1 × 100
= 0.3/19.1 × 100
= 1.6%
In conclusion, the correct option is 1.6%.
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1. IF L = Q AND M= R, FIND THE VAKUE OF X
2. IF L=Q AND M = R. FIND THE VALUE OF X
Answers
1. The value of x is 9
2. The value of x is 8
How to determine the valuesTo determine the value of the variables, we need to know the properties of a triangle.
These properties includes;
A triangle is a polygonA triangle has three sidesA triangle has three anglesThe sum total of the interior angles of a triangle is 180 degreesNow, from the information given, we have that;
<L = <Q
<M = <R
The side facing <L is 9
The side facing <Q is x
x = 9
2. The side facing <L is 6
The side facing <Q is 12
Then, x = 8
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Someone explain this to me! Help!
Answers
Answer:
D
Step-by-step explanation:
an = 3/4 × an-1
let's see for n = 2
a2 = 3/4 × a1 = 3/4 × 4
n = 3
a3 = 3/4 × a2 = 3/4 × 3/4 × a1 = 3/4 × 3/4 × 4 = 9/16 × 4
so, we see, we multiply 3/4 one time less than n by itself and then by 4.
that makes D the correct answer.
the multiplication by (n - 1) in answer C would add 3/4 n-1 times instead of multiplying it n-1 times.
to apply n-1 multiplications we need to use n-1 as exponent.
In the 2012 Olympics a U.S. athlete Nathan Adrian finished the 100-meter freestyle swim in 47.52 seconds. If nathan swam the same pace in a regular 25-meter pool what would his time have been per lap?
Answers
At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
To solve this problem
The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:
100 meters / 47.52 seconds = 25 meters / x seconds
where x is the unknown time for one lap in the 25-meter pool.
To solve for x, we can cross-multiply:
100 meters * x seconds = 47.52 seconds * 25 meters
100x = 1188
Dividing both sides by 100, we get:
x = 11.88 seconds
Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
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Find the dot product of u and v.
u = (−4, 1)
v = (5,-4)
UxV =
Answers
Answer: -24
This is due today please help me
Answers
Answer:
Not similar
Step-by-step explanation:
Answer:
SAS
Step-by-step explanation:
Eliminate the choices.
Not SSS, as you are only given 2 out of 3 side lengths, and you need an angle measure to find the third length
Not AA, since we cant be sure
But seeing as there is one angle that corresponds for both triangles and are in-between two sides, it would be SAS (its not good to pressume, but thats all you can do )
ME In Andrew's Furniture Shop, he assembles both bookcases and TV stands. Each type of furniture takes him about the same time to assemble. He figures he has time to make at most 18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit. Using the information in the problem, write the constraints. Let a represent number of bookcases, and y represent number of TV stands.
needed: verticies, optimization equation, maxiumum profit and what he needs to sell to achieve that profit.
Answers
Answer:6 bookcases, 12 TV stands.
Step-by-step explanation:
We can model this using a system of equations. Let b represent how many bookcases he makes, and t how many TV stands he makes. He can make at most 18 pieces, so let's say that b+t <=18. The cost of the bookcases are 20, and the TV stands are 40, so 20b+40t gives us our total cost. We have 600 to spend, so 20b+40t <=600. We want to maximize the equation for profit, which is 60b+100t=P. We have three values we care about, where our inequalities intersect, if we have only TVs, and if we only have bookcases. But, if b=0 and t=18, then our cost is 720, which is too big. So if we only have tv stands, then we can have at most 15 (40*15=600). So our three cases are: (b=0, t=15), (t=0, b=18), and the intersection, which is where the inequalities are equal. To solve that, b=18-t, 20(18-t)+40t=600, 360-20t+40t=600, 360+20t=600, 20t=240, t=12. b=18-t, b=18-12, b=6. So our final case is (b=6, t=12). Now simply plug those three cases into our equation to maximize, 60*0+15*100=1500. 18*60+0*100=1080. 6*60+12*100=1560. So, our third case yields us the highest profit, and Andrew should make 6 bookcases and 12 TV stands.
I NEED HELP PLEASE!!
Answers
sine --> cosecant
csc(x) = 1/sin(x)
cosine --> secant
sec(x) = 1/cos(x)
tangent --> cotangent
cot(x) = 1/tan(x)
Correct Answer: A
Hope this helps!