in circle U, UV= 9 and m< VUW=160 degree. Find the area of shaded sector. Express your answer as a fraction times pi
Answers
As per the given question the area of the shaded sector of the circle is \((17/18)\pi (81 / (4 (sin(10))^2)).\)
Explain the meaning of circle?A circles is a point's location in a plane where its separation from a fixed location is constant at all times. The circle's stationary point is referred to as its centre, and the space between it and the movable point is referred to as its radius.
To find the area of the shaded sector, we need to use the formula:
\(A = (θ/360)\pi r^2\)
where A is the area of the sector, θ is the central angle of the sector, and r is the radius of the circle.
First, we need to find the radius of the circle. We can do this by using the fact that UV is a chord of the circle:
Let O be the center of the circle, then OU = OV = r (since they are radii of the circle).
Using the fact that VUW is an isosceles triangle, we can find UW:
\(m < VUW = 180 - m < UVW - m < UWV = 180 - 160 - (1/2)m < UVO\)
⊅⊅\(m < UVO = 2(1/2)m < UVO = m < UVW = 160 degrees\)
Therefore,\(m < UWO = (1/2)(360 - m < UVO - m < UVW) = 10 degrees\)
Now, in right triangle VWO, we have:
\(sin(10) = UW / (2r)\)
\(UW = 2r sin(10)\)
But UW = UV = 9, so we have:
2r sin(10) = 9
r = 9 / (2 sin(10))
Now we can find the area of the sector:
θ = m<UVO = 360 - 2m<UWO = 340 degrees
\(A = (340/360)\pi (9 / (2 sin(10)))^2\)
\(A = (17/18)\pi (81 / (4 sin^2(10)))\)
\(A = (17/18)\pi (81 / (4 (sin(10))^2))\)
Therefore, the area of the shaded sector of the circle is\((17/18)\pi (81 / (4 (sin(10))^2)).\)
To know more about circles visit:
brainly.com/question/12374325
#SPJ1
Related Questions
Which equations can be best solved with the square root method?
Select each correct answer.
Answers
Answer:
the first one and the last one
Step-by-step explanation:
I need help asappp please, I attached a image
Answers
Answer:
Just look at the other answer
Step-by-step explanation:
The function () = 9-1² is the velocity in m/sec for a particle moving along the x-axis, where r is measured in seconds (120). Use analytic methods to do each of the following: (a) Determine when the particle is moving to the right, to the left, and stopped. (b) Find the particle's displacement for 0 ≤ ≤ 6. (e) Find the total distance traveled by the particle for 016. 1. (a) Right: Left: Stopped: (b) (e)
Answers
For the function representing velocity answer of the following are,
a. The particle is moving to the right for t < 3, moving to the left for t > 3, and stopped at t = 3.
b. The particle's displacement for 0 ≤ t ≤ 6 is -18 units.
c. The total distance traveled by the particle for 0 ≤ t ≤ 6 is 18 units.
Function is equal to,
v(t) = 9-t²
(a) To determine when the particle is moving to the right, to the left, and stopped,
Examine the velocity function v(t) = 9 - t² and analyze its sign.
When v(t) > 0, the particle is moving to the right.
When v(t) < 0, the particle is moving to the left.
When v(t) = 0, the particle is stopped.
Let's solve for v(t) = 0,
9 - t² = 0
⇒t² = 9
⇒t = ±√9
⇒t = ±3
The particle is moving to the right for t < 3, moving to the left for t > 3, and stopped at t = 3.
(b) To find the particle's displacement for 0 ≤ t ≤ 6,
Integrate the velocity function over the given interval,
Displacement = ∫₀⁶ v(t) dt
Using the given velocity function v(t) = 9 - t²
Displacement = ∫₀⁶ (9 - t²) dt
Evaluating the integral,
Displacement
= [9t - (t³)/3] |[0 to 6]
= [9(6) - (6³)/3] - [9(0) - (0³)/3]
= [54 - 72] - [0 - 0]
= -18 - 0
= -18
(c) To find the total distance traveled by the particle for 0 ≤ t ≤ 6,
Consider the absolute value of the velocity function and integrate it over the interval,
Total Distance = ∫₀⁶ |v(t)| dt
Using the velocity function v(t) = 9 - t²
Total Distance = ∫₀⁶ |9 - t²| dt
Since the velocity function v(t) is non-negative (v(t) ≥ 0) for the interval, rewrite the absolute value as,
Total Distance = ∫₀⁶ (9 - t²) dt
Calculating the integral as before,
Total Distance = [9t - (t³)/3] |[0 to 6]
= [9(6) - (6³)/3] - [9(0) - (0³)/3]
= [54 - 72] - [0 - 0]
= -18 - 0
= -18
Since the total distance cannot be negative, we take the absolute value of the result, giving a total distance of 18 units.
The total distance traveled by the particle for 0 ≤ t ≤ 6 is 18 units.
learn more about velocity here
brainly.com/question/15086659
#SPJ4
The above question is incomplete, the compete question is:
The function v(t) = 9-t² is the velocity in m/sec for a particle moving along the x-axis, where t is measured in seconds ( t ≥ 0). Use analytic methods to do each of the following:
(a) Determine when the particle is moving to the right, to the left, and stopped.
(b) Find the particle's displacement for 0 ≤t ≤ 6.
(c) Find the total distance traveled by the particle for 0 ≤t ≤ 6.
there are 30 people in student council that are running for the offices of president and vice president. in how many different ways can those offices be assigned?
Answers
Answer: Assuming that it matters which one is president and which is vice president, and the same person cannot be assigned both posts, the answer is 30*29, or 870.
Step-by-step explanation:
An object is moving at a speed of 850 miles per hour. Express this speed in meters per minute. Round your answer to the nearest whole number.
Answers
Answer:it would be 1385
Step-by-step explanation:because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place
4
and look one place to the right for the rounding digit on the right side of the decimal point
7
.Round up if this number is greater than or equal to
5
and round down if it is less than
5
1385
The speed in meters per minute is 22799.
Given that,
An object is moving at a speed of 850 miles per hour.Based on the above information, the calculation is as follows:
We know that
1 miles per hour = 26.822 meters per minute
So for 850 it should be 22799.
Learn more: https://brainly.com/question/17429689?referrer=searchResults
which value makes the equation 10x/2=15 true
Answers
[ give thanks and rate 5stars if this helps u po! welcome! ]
Step-by-step explanation:
To solve the equation 10x/2 = 15, we can simplify the left-hand side first by dividing 10x by 2, which gives us 5x. So the equation becomes:
5x = 15
To isolate x, we can divide both sides by 5:
x = 3
Therefore, the value that makes the equation true is x = 3.
Answer:X=
Step-by-step explanation:
draw a model of 1/2 divided by 4
Answers
Answer:
0.125
Step-by-step explanation:
\( \frac{1}{2} \div 4\)
\( \frac{1}{2} \times \frac{1}{4} \)
\( \frac{1}{8} \: or \: 0.125\)
Answer:
0.125
Step-by-step explanation:
What is the equivalent expression
1/2^8
Answers
Answer:
c
Step-by-step explanation:
1/2^8
=1/256
a.
1^8/2
=1/2
b.
2^1/2
=1.414213562
c.
2^-8
=1/256
The equivalent expression as per the given expression will be equal to 2⁻⁸. Hence, option C is correct.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.
As per the given expression in the question,
1/2⁸
The solution for the expression will be,
= 1/256
And, the equivalent expression will be,
= 2⁻⁸
To know more about Expression:
https://brainly.com/question/14083225
#SPJ2
If x + 12 55- yand 5 - ys 2(x-3), then which statement is true?
OA.
X+ 12 205 -
OB.
x + 12 32x-3
OC.
X + 12 = 2(x-3)
OD. x + 12 sy-5
Answers
Answer:
C
Step-by-step explanation:
so
a≤b
b≤c
definitely a can't be more of c
at last, equal
so a≤c
Questions-PartA what is the perimeter of this hexagon if the side is 15 cm?Part BWhat is the apothem of this hexagon each side is 15 cm round to the nearest whole number?Part CWhat is the area of the hexagon?(I just need a brief explanation with the answer)
Answers
Step 1:
The formula for the area of a hexagon can also be given in terms of the apothem as,
Area of hexagon
\(=\text{ }\frac{1}{2}\text{ }a\text{ }\times\text{ P}\)where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.
Step 2:
Length of the sides = 15 cm
\(\begin{gathered} \text{perimeter = 6 }\times\text{ 15} \\ P\text{ = 90} \end{gathered}\)Step 3:
Find the Apothem ' a '
Find each angle
\(\text{Each interior angle = }\frac{360}{6}\text{ = 60}\)Next
\(undefined\)
Write the number 6418 in words.
Answers
Answer:
Seis Mil Quatrocentos e Onze
Step-by-step explanation:
assim moça
Answer:Answer:
six-thousand four-hundred eighteen
Step-by-step explanation:
6,000 = six-thousand
400 = Four-hundred
18 = eighteen
Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. f(x)=2(x 2
+3)(x+1) 2
−3, multiplicity 1 , crosses the x-axis; −1, multiplicity 2 , crosses the x-axis None −1, multiplicity 2 , touches the x-axis and turns around -3, multiplicity 1 , crosses the x-axis; −1, multiplicity 2 , touches the x-axis and turns around. −1, multiplicity 2 , crosses the x-axis
Answers
The polynomial function \(\(f(x) = 2(x^2+3)(x+1)^2\)\) has zeros at -3 with multiplicity 1, and -1 with multiplicity 2. The graph of the function crosses the x-axis at -3 and -1.
To find the zeros and their multiplicities, we set \(\(f(x)\)\) equal to zero and solve for \(\(x\).\)
Setting \(\(f(x) = 0\),\) we have:
\(\[2(x^2+3)(x+1)^2 = 0\]\)
Since the product of two factors is zero, at least one of the factors must be zero. Thus, we solve for \(\(x\)\) in each factor separately:
1. \(\(x^2 + 3 = 0\):\)
This equation does not have real solutions since the square of a real number is always non-negative. Therefore, this factor does not contribute any real zeros.
2. \(\(x + 1 = 0\):\)
Solving for \(\(x\), we find \(x = -1\).\) This gives us a zero at -1 with multiplicity 1.
Since the factor \(\((x+1)^2\)\) is squared, the zero -1 has a multiplicity of 2.
Therefore, the zeros for the polynomial function are -3 with multiplicity 1 and -1 with multiplicity 2. The graph of the function crosses the x-axis at both zeros.
To learn more about polynomial function click here: brainly.com/question/29054660
#SPJ11
is figure pqrstu a translation, reflection, or rotation? Explain your reasoning
PLEASE HELP ME
Answers
Answer: I'd say reflection
Answer:
It is a reflection
Step-by-step explanation:
In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
For volunteers picked up letter from the park Dominic you collect and 15 for your pieces a litter than Sarah Sarah collect the 12 more pieces in piper piper collected 1/4 as many pieces of litter as Vaughn Vaughn has collected nine more pieces of wood or than everyone else combine the X represent the number of pieces of litter Vaughn Collection
Answers
So many confusing details. So, I rephrase the question as:
Four volunteers picked up litters from the park.
Dominic collect 15 pieces less than Sarah. Sarah collects 12 more pieces than Piper. Piper collected 1/4 as many pieces of letter as Vaughn. Vaughn has collected nine more pieces of letter than everyone else combined. Let x represent the number of pieces of litter in Vaughn's Collection. Find x
Answer:
\(x = 72\)
Step-by-step explanation:
Let:
\(D = Dominic;\ \ S = Sarah;\ \ P = Piper;\ \ V = Vaughn\)
From the [rephrased] question, we have:
\(D = S - 15\)
\(S = 12 + P\)
\(P = \frac{1}{4}V\)
\(V = 9 + D + S + P\)
Substitute \(S = 12 + P\) in \(D = S - 15\)
\(D = 12 + P - 15\)
\(D = P+12 - 15\)
\(D = P-3\)
Make V the subject in \(P = \frac{1}{4}V\)
\(V = 4P\)
Substitute: \(V = 4P\), \(D = P-3\) and \(S = 12 + P\) in \(V = 9 + D + S + P\)
\(4P= 9 + P - 3 + 12 + P +P\)
Collect like terms
\(4P - P -P-P= 9 - 3 + 12\)
\(P= 18\)
Substitute \(P= 18\) in \(S = 12 + P\)
\(S = 12 +18\)
\(S = 30\)
Substitute \(S = 30\) in \(D = S - 15\)
\(D = 30 - 15\)
\(D =15\)
Substitute \(D =15\), \(S = 30\) and \(P= 18\) in \(V = 9 + D + S + P\)
\(V = 9 + 15 + 30 + 18\)
\(V = 72\)
x represents the number collected by Vaughan.
So:
\(x = 72\)
Please help me out with the questions!
Answers
Answer:
7 mpg/year, 1
Step-by-step explanation:
A car rental agency charges $15 a day for driving a car 200 miles or less. If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven. Which of the following functions represents the cost to drive a car from this agency miles x a day?
Answers
The function which represents the cost to drive a car from this agency miles x a day is :
C(x) = 15, if 0 ≤ x ≤ 200
= 15 + 0.05x, if x > 200
Given that,
A car rental agency charges $15 a day for driving a car 200 miles or less.
The function can be written as,
C(x) = 15 if 0 ≤ x ≤ 200
If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.
C(x) = 15 + 0.05x, if x > 200
Hence the correct option is D.
Learn more about Functions here :
https://brainly.com/question/29067911
#SPJ1
5 subtracted from 1/3 of 20
IN FRACTIONS
Answers
The least common multiple of 3 and 5 is 15, so we convert 5 to 15/3.So the answer is 5/3.
The calculation in fractions:
1/3 of 20 = (1/3) * 20 = 20/3
5 subtracted from 1/3 of 20 = 20/3 - 5
To simplify the expression 20/3 - 5, we need to subtract 5 from 20/3 by finding a common denominator between 5 and 20/3. The least common multiple of 3 and 5 is 15, so we convert 5 to 15/3:
20/3 - 5 = 20/3 - 15/3 = (20 - 15)/3 = 5/3
So the answer is 5/3.
Fractions are a way of representing numbers as ratios of two integers. The top number of a fraction is called the numerator, and the bottom number is called the denominator. The numerator represents the number of parts of the whole that are being considered, and the denominator represents the number of equal parts that make up the whole.
For example, the fraction 1/2 represents 1 part out of 2 equal parts that make up the whole.
To learn more about expression:
https://brainly.com/question/16804733
#SPJ4
Which of these is a solution to the equation graphed below?
Answers
Answer:
see explanation
Step-by-step explanation:
Any point that lies on the line is a solution to the equation.
Thus
(0, 1 ), (2, 0 ), (- 2, 2), (4, - 1 ) are all solutions
Answer:
\(\boxed{(6, -2)}\)
Step-by-step explanation:
Any of the points that lies on the line is the solution to the equation of the line.
(-2, 2), (0, 1), (2, 0), (4, -1), (6, -2) are all solutions.
Use the equation below to find F, if =m5 and =a19.
=Fma
=F
Answers
F = (5)(19)
F = 95
HELP ME ASAP!!! PLS!!
The Chu family can hike 3 miles per hour. How long will it take them to hike 15 miles?
A- 3.75 hours
B- 4 hours
C- 4.5 hours
D- 5 hours
Answers
Answer:
D- 5hrs
Step-by-step explanation:
If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.
Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours
Answer:
D. 5 hours
Step-by-step explanation:
3 miles per 1 hour so 3/1
15 miles per x hours so 15/x
3/1 = 15/x or 3 = 15/x
get x by itself so
3 divided by 3 and 15 divided by 3
x = 5 hours
You want to order posters by mail. Each poster costs $10.00,
and you have to pay $4.00 for shipping. Let x be the number
of posters you buy and y the total cost of the order.
1. What is the equation that you would use to show the total cost.?
2. How much do 4 posters cost, including shipping.?
3. How much do 15 posters cost, including shipping.?
4. If you order 20 posters at once does it cost the same including shipping, as two separate orders of 10 posters each.? Explain your answer.
Answers
Answer:
Step-by-step explanation:
56 dollars
Ishaq purchased a pair of Jordan's for $95 and he is selling them to his classmates Angel or Jayden. Ishaq wants to make a 20% profit off of the shoes. What would be the new price of the shoes if he increase the price by 20%?
Answers
The Selling Price of the Jordans will be is $114.
Ishaq purchased a pair of Jordans for $95 and he is selling them to his classmates Angel or Jayden.
Ishaq wants to make a 20% profit off of the shoes. What would be the new price of the shoes if he increases the price by 20%? The original price of the Jordans purchased by Ishaq is $95.
Ishaq wants to make a profit of 20% on the shoes he is selling to Angel or Jayden.
20% of $95 is
=> (20/100)*$95
=> $19.
Therefore, Ishaq's profit will be $19.
So, the selling price of the Jordans will be
$95 + $19 = $114.
This is the amount Ishaq will sell the shoes to his classmates Angel or Jayden. Therefore, the new price of the shoes is $114 when he increases the price by 20%.
Formula to calculate the profit on a product Profit on a product = (Profit Margin/100) * Cost Price
Selling Price = Cost Price + Profit on a Product.
Therefore, the Selling Price of the Jordans will be:
$95 + [(20/100) * $95]
=> $95 + $19
=> $114.
To learn more about Selling Price :
https://brainly.com/question/1153322
#SPJ11
how to find r in a geometric sequence calculator
Answers
Step-by-step explanation:
We can find r by dividing the second term of the series by the first. Substitute values for a 1 , r , a n d n \displaystyle {a}_{1}, r, \text{and} n a1,r,andn into the formula and simplify. Find a1 by substituting k = 1 \displaystyle k=1 k=1 into the given explicit formula.
11. How many combinations of four can you make from the set?
25 baseball cards
Put your answer in the form [XXXXX]. Please do not insert a comma.
Answers
Noah is buying a pair of jeans and using a coupon for 10%off. The total price is $56.70 which includes $2.70 in sales tax. Noah’s purchase can be modelled by the equation
x-0.1x+2.70=56.70
what does the solution to the equation mean in this situation?
How can you verify that 70 is not a solution but 60 is the solution?
Answers
Answer:
See below.
Step-by-step explanation:
So, we know that Noah's purchase can be modeled by the equation:
\(x-0.1x+2.70=56.70\)
Part 1)
The solution to the equation will be the value of x.
In this case, x will represent the original price of the jeans.
We know that Noah has a coupon for 10% off the original price of the jeans.
So, 0.1x will represent how much of the original price Noah gets a a discount on.
Therefore, (x - 0.1x) represents the total cost of the jeans after the coupon.
So, x is our original price of the jeans.
Part 2)
To verify that 70 is not a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:
\((70)-0.1(70)+2.7\stackrel{?}{=}56.70\)
Multiply:
\(70-7+2.7\stackrel{?}{=}56.7\)
Subtract:
\(63+2.7\stackrel{?}{=}56.7\)
Add:
\(65.7\neq56.7\)
However, we can verify that 60 is the solution by substituting. So, substitute 60 for every x:
\((60)-0.1(60)+2.7\stackrel{?}{=}5.7\)
Multiply:
\(60-6+2.7\stackrel{?}{=}56.7\)
Subtract:
\(54+2.7\stackrel{?}{=}56.7\)
Add:
\(56.7\stackrel{\checkmark}{=}56.7\)
So, 60 is indeed the solution and is the value of x.
So, this means that $60 was the original price of the jeans.
Answer:
$60
Step-by-step explanation:
i did it on paper
What is the standard form of (2,7) ; m =-4 ??
-Exploring Linear Equations in Two Variables
Answers
Answer:
4x + y = 15
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 4 , then
y = - 4x + c ← is the partial equation
to find c substitute (2, 7 ) into the partial equation
7 = - 4(2) + c = - 8 + c ( add 8 to both sides )
15 = c
y = - 4x + 15
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
then
y = - 4x + 15 ( add 4x to both sides )
4x + y = 15 ← in standard form
A microbiologist is studying A bacterial culture. Every hour she counts the number of bacteria. Her data is recorded in the table. What is the average increase between 10 AM and 1 PM? round to the nearest integer. please help me with this question??
Answers
Answer: 58
Step-by-step explanation:
From 10 AM to 1 PM the numbers are 161, 368, 842, and 1918
So now we find the difference between the numbers.
368 - 161 = 207
842 - 368 = 474
1918 - 842 = 1076
now it asked for the average so you add them together then divide by 3
which is (207+474+1076)/3 = 585.66666666....
Then it says to round to the nearest integer which is 586
Hey why not mark me as brainliest
The average increase between 10 AM and 1 PM is 586.
What is average?An average is a single number taken as representative of a list of numbers.
Given that, a microbiologist is studying A bacterial culture. Every hour, she counts the number of bacteria.
From 10 AM to 1 PM the numbers are 161, 368, 842, and 1918
The difference between the numbers.
368 - 161 = 207
842 - 368 = 474
1918 - 842 = 1076
Now it asked for the average, so you add them together then divide by 3
Which is (207+474+1076)/3 = 585.66666666....
Rounding to the nearest integer, we get 586
For more references on average, click;
https://brainly.com/question/24057012
#SPJ2
The cost of a pearl $C is directly proportional to the square of its mass , m grams. given that a pearl of mass 10g cost $240
find the cost of a pearl of mass 25g
Answers
Step-by-step explanation:
doing with the ratio method
25 x
10 240
x=25×240÷10
10gx2=480
+5g= 120
480+120=600
what values of x will the function f(x) = 3a? + 13z - 10 equal zero?
Answers
The values of x that will make f(x)= 3a + 13z - 10 equal zero are the values of z and a that satisfy the equation (10 - 13z)/3a.
Function equationTo find the values of x for which f(x)= 3a + 13z - 10 equals zero, we need to solve the equation:
3a + 13z - 10 = 0
We can rearrange this equation to isolate x:
3a = 10 - 13z
x = (10 - 13z)/3a
In other words, the values of x that will make f(x) equal zero are those values of z and a that satisfy the equation above.
There are several possible values of z that will make f(x) equal zero, since we can plug any valid value of z into the equation to get a corresponding value of x.
More on function equations can be found here: https://brainly.com/question/22964920
#SPJ1
need help ASAPPPPP , what is the volume of the sphere?
Answers
Answer:
\(V =33.5\ inches\)
Step-by-step explanation:
Step 1: Find the volume of the sphere
Formula for the volume of a sphere: \(V=\frac{4}{3}\pi r^{3}\)
\(Radius = Diameter / 2\)
\(Radius = 4 / 2\)
\(Radius = 2\)
\(V=\frac{4}{3}(3.14) (2)^{3}\)
\(V =33.5\ inches\)
Answer: \(V =33.5\ inches\)