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
9514 1404 393
Answer:
f(x) = (π-2)x^2/4
Step-by-step explanation:
The area of the triangle is ...
A = 1/2(x)(x) = (1/2)x^2
The hypotenuse of the triangle is x√2, so the radius of the circle is x/√2. That means the area of the semicircle is ...
A = 1/2πr^2 = (π/2)(x/√2)^2 = (π/4)x^2
The shaded area is the difference between the semicircle area and the triangle area.
f(x) = (π/4)x^2 -(1/2)x^2
f(x) = (π-2)x^2/4
Related Questions
Write an explicit function in terms of n that describes the following sequence:
−2, 4, −8, 16, −32, 64
Answers
Answer:
aₙ = -2(2)^(n-1)
Step-by-step explanation:
A manufacturer compares its income f(x) to its expenses g(x) for x number of units sold. What does the solution to f(x) = g(x) represent for the manufacturer?
Answers
Answer: The number of units sold when the manufactures home income equals the manufactures expenses
Step-by-step explanation:
The solution to f(x) = g(x) represent that manufacturer is on break even.
What is Break-even?Break-even analysis Break even is the point where the income of a business matches the expenses required to run that business. Also in other words it tell us the point at which you will have enough sales to cover all of the costs involved.
What function represent here?Here as it is given that the income f(x) to its expenses g(x) for x number of units sold is equal.
Therefore, its state will be break even.
Learn more about the break even here: https://brainly.com/question/21137380
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5.
A balloon is released from the top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?
A. The balloon starts at a height of 0 ft and rises at a rate of 10 ft.
B. The balloon starts at a height of 10 ft and rises at a rate of 0 ft.
C. The balloon starts at a height of 0 ft and rises at a rate of 100 ft.
Answers
Answer:
Step-by-step explanation:
the balloon starts at a height of 0 ft and rises at a rate of 100 ft.
Un hotel tiene 120 habitaciones, entre dobles i individuales. Si la cuantidad de camas son de 195, cuantas habitaciones dobles hay? Y individuales?
Answers
Answer:
45 individuales y 75 dobles.
Step-by-step explanation:
Para saber esto, debemos plantearlo por medio de un sistema de ecuaciones. En este caso las incógnitas serían el tipo de habitación, es decir, una será la habitación doble, y la otra la individual.
X: habitaciones individuales
Y: habitaciones dobles
Sabiendo eso, sabemos que sumando ambos tipos de habitaciones, dan el total de 120, por tanto, la primera ecuación será:
x + y = 120 (1)
Para la segunda ecuación, sabemos que hay 195 camas en total, que deben distribuirse en los dos tipos de habitaciones, en una habitación doble van 2 camas, mientras que en una individual va 1, por tanto:
x + 2y = 195 (2)
Ahora que tenemos las dos ecuaciones, solo resta resolverlo por alguno de los métodos conocidos de sistema de ecuaciones. En este caso, como las ecuaciones son sencillas podemos usar el método de reducción.
En la siguiente foto, está el procedimiento.
Suerte
match each trig function to a ratio. cos (A) =
Answers
Answer:
Cos A = x/z
Step-by-step explanation:
You need to memorize the definitions of all the trig functions and then these types of problems become easy! OK?
Cos = adjacent side/hypotenuse
Cos A = x/z
What are the zeros of this function?
Answers
Answer:
-4 and 1, which is (-4,0) and (1,0) in coordinate form
Step-by-step explanation:
the zeros are x-intercepts, and because its a quadratic, there are two x-intercepts, or zeros, so answer is -4 and 1
HElP NEED ANSWER FAST WILL GIVE BRAIN
Answers
Answer:
c
Step-by-step explanation:
Find the value of each variable 17/ 18
Answers
Answer:
A) B.R(-9)?
Step-by-step explanation:
Answer:
17 - 42
18 - 50
Step-by-step explanation:
17)
You know the total measurement of both angles is 180.
So your formula is (2x+54) + x = 180. Now rearrange to get
180 - (2x+54) = x or 180-2x+54 =x
Simply to -2x+126 = x followed by moving x and moving 126 to get
-3x = -126 , now divide both sides by -3
18)
Your complete circle is 360 and you know one angle is 90.
Set your formula to 360=90+(3x)+(x-20)+(2x-10)
Rewrite to 360 = 90+3x+x-20+2x-10 and combine like terms
360 = 90 - 20 - 10 + 3x + x+2x
360 = 60 + 6x
360 - 60 = 6x
300 = 6x
300/6 = x
50 = x
please help. solve for x. (i’ll give brainles if you help with all!
Answers
Answer:
Step-by-step explanation:
If I give you this helpful way to remember , can you solve these?
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
or no?
The height, h, in feet of a golf ball above the ground after being hit into the air is given by the equation, h = -16t 2 + 64t, where t is the number of seconds elapsed since the ball was hit. How many seconds does it take for the golf ball to hit the ground?
It will take ___seconds for the ball to hit the ground.
Answers
Answer:
4 seconds
Step-by-step explanation:
When the ball hits the ground the height is 0
-16t² + 64t = 0
Divide both sides by -16
t² - 4t = 0
Factor out t
t(t - 4) = 0
From the zero product rule
t = 0 and t - 4 = 0
t = {0, 4}
The ball hits the gound after 4 seconds
Help...Emergency...No links or i will report
Answers
11395
45,580 ÷ 4 = 11395
Answer:
D / $1,823
Step-by-step explanation:
take the $45,580 and divide it by the 4% (0.04)
HELP
Frank is making lemonade. He uses 12 lemons he brought from home and 10 lemons he asked Heidi to bring. He bought 5 bags
of lemons from the grocery store. Each bag holds the same number of lemons and he uses all of these. He uses 72 lemons
altogether. Which equation models the number of lemons, there are in each bag?
A 12 + 10 + 5 = 72.c
B 12x + 10x + 5 = 72x
C 12 + 10 + 5x = 72
D 12x + 10x + 5x = 72
Answers
x+5=0 Please help........................
Answers
Hope this helps
A company is testing a new protein shake which they claim works better than their existing brand in improving an athlete's performance. The company selected 60 athletes from a training camp database, and divided them into three groups. The ages for the groups were 16 to 20 years, 21 to 25 years, and 26 to 30 years. In each group, half of the subjects were asked to use the new protein shake for a month, and the other half were asked to use the company's existing brand for a month. The subjects were not informed about which protein shake they would be using. Which statements about this study are true? The study uses blocking to reduce variability from known factors. The study does not use a control group. The study uses random sampling. The study uses blocking on the basis of gender. The study uses a repeated measure design to reduce variability from unknown factors.
Answers
Answer:
The study uses random sampling
The study uses blocking to reduce variability from known factors
Step-by-step explanation:
Correct on Plato/Edmentum
Study uses blocking to reduce variability from know factor
and The study uses random sampling are the true statements
What is random sampling?Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen
Here study uses blocking to reduce variability from know factor
The study uses random sampling
Hence, study uses blocking to reduce variability from know factor
and The study uses random sampling are the true statements
Learn more about Random sampling here
https://brainly.com/question/17238189
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NAME THIS FIGURE (multiple choice)m
Answers
Answer:
D.... pentagonal prism
Step-by-step explanation:
Write the equation of the line that has a slope of 3 and goes through (-2,5)
in point-slope form. *
Answers
Answer:
y = 3x + 1
Step-by-step explanation:
substitute the variables in y=mx+b
(5) = 3(-2) + b
5 = -6 + b
add 6 on each side
1 = b
f(x) = x2 What is g(x)?
um
g(x)
(2.1)
OB. 9x)-
O A.9)
960-G3*
O c. g(x) = 4x²
O D. 9(x) = /
Answers
Step-by-step explanation:
the corect answer for this question is
A)
[tex]when \: \: x = 2 \\ y = \frac{1}{4} {2}^{2} \\ y = 1[/tex]
The diagram shows a circle inside a square 16cm work out the area of the circle
Answers
If the original price is $80 and u discount 20%, what’s the sale price?
Answers
80 x 0.2 = 16
80 - 16 = 64
Answer:
64$
Step-by-step explanation:
A group of 6 students was asked, " How many hours did you watch television last week?" Here are their responses . 13, 8, 19, 19, 16, 14 Find the mean number of hours for these students . If necessary , round your answer to the nearest tenth.
Answers
Answer:
14.8333
=15
Step-by-step explanation:
Add all the numbers then divide by how many numbers you got.
Need help asap, it's asking me to find m angle J and that K = 25.
Answers
Answer:
j would be 130 cuz sides that are congruent have congruent angles so you add those two angles up and subtract from 180
Answer:
Step-by-step explanation:
x = 130
Base angles of isosceles triangles are congruent so angle L is also 25
There is 180 degrees in a triangle so you would do 25 + 25 + x = 180
then solve for x
Study the graph about immigration.
A bar graph titled Foreign-Born Population in the United States from 1850 to 2010. The x-axis is labeled Foreign-Born Population in millions from years 1850 to 2010. 1850 is 2.2. 1890 is 9.2. 1920 is 13.9. 1930 is 14.2. 1950 is 10.3. 1990 is 19.8. 2010 is 40.
Which type of bias is evident in the graph?
con
credible
neutral
pro
Answers
Answer:
C. Neutral
Step-by-step explanation:
I took the test and got it right :)
Answer:
Which type of bias is evident in the graph? The answer you are looking for is: Neutral.
Step-by-step explanation:
If you are using the time4learning program, this is the correct answer.
The temperature at dawn is 9 degrees Celsius away from 0. Select ALL the temperatures that are possible.
Answers
Answer:
- 9 °C or 9 °C
The number line shows that - 9 and 9 and both 9 away from 0.
A video game rental store charges a $20 membership fee plus $2 for each game rented. Click to show whether each statement is true or false. True False The slope of function 2 is greater than the slope of function 1 and less than the slope of function 3 The slope of function 1 is 4 times the slope of function 3. The y-intercept of function 2 is less than the y-intercept of functions 1 and 3. The y-intercept of function 2 is greater than the y-intercept of function 3.
Answers
Answer:
the member ship gay
Step-by-step explanation:
m8 m88m8m88m8m88m
Help find the value of x please.
Answers
Answer:
x = 127 i promise, i forgot the name of this theorem but there is a theorem that proves x = 127
Hope this helps!
With Company A, you can take a 2.25 hour helicopter ride for $ 270.
With Company B, you can take a 90-minute helicopter ride for $ 180.
Which of the two helicopter companies gives you the best ride for your money?
Answers
Answer:
B
Step-by-step explanation:
I already take this question before
HELPPPPPPPPPPPPPP pleassss
Answers
Answer:
2/4 = 1/2
Step-by-step explanation:
sin = adjacent/hypotenuse
--> sin m = 2/4
Can someone help I don’t understand
Answers
Answer:
8 hr
Step-by-step explanation:
8hr
hope this helps you!
Graph the line . djdjej
Answers
Answer:
Step-by-step explanation:
The slope is 2 and the point (0,8) is on the graph. This means we have to plug this equation to y-y1=m(x-x1) where m is the slope. We know the slope and the we have the points (0,8) so we can completely fill in this equation. y-8=2(x-0) is equal to y-8=2x. You want to isolate y so you have to add 8 to both sides. y=2x+8. The graph y=2x+8 will look like this.
If this answer has helped you please mark as brainliest
Answer:
the answers 2 djdedjejjdej
Step-by-step explanation:
How big is a piece of A4 paper?
Answers
Answer:
210 x 297 mm
Hope that this helps!