The length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.
What will be the Arc?The arc of the circle is defined as the product of the angle and the radius of the circle.
[tex]Arc=\theta \times r[/tex]
Now it is given in the question that
circle P, i.e. center is point P.
QS is a diameter with a length of 20 cm so radius =10 cm
Given that RP is the radius with
To find the length of arc QR =?
Now for finding the arc of QR we will find the angle [tex]\angle QPR[/tex] since we have the angle [tex]\angle RPS=123^o[/tex].
[tex]\angle QPR+\angle RPS=180[/tex]
[tex]\angle QPR+123=180[/tex]
[tex]\angle QPR=57^o[/tex]
[tex]\angle QPR=\dfrac{57\times\pi}{180} =0.99\ radian[/tex]
Now the formula for finding the arc will be given by
[tex]Arc \ (QR)=\angle QPR\times r[/tex]
[tex]Arc\ (QR)=0.99\times 10=9.9\ cm[/tex]
Thus the length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.
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Jenna made 2 times as many
bracelets as Meghan. Jenna made
14 bracelets. Which equation represents
the number of bracelets Meghan made?
Answer:
2x=14
Step-by-step explanation:
Meghan= x
2x=14
2x/2=14/2
x=7
Solve for x. 3/4x - 2=8
Answer:
Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.
Exact Form:
[tex]x = \frac{40}{3}[/tex]
Decimal Form:
[tex]x=13.3[/tex]
Mixed Number Form:
[tex]x=13\frac{1}{3}[/tex]
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The number of tickets sold each day for an upcoming performance is given by p(x) = -0.4x2 + 8.8x + 13, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
Answer:
The maximum sale of the tickets is 158 on the [tex]11^{th}[/tex] day.
Step-by-step explanation:
The number of tickets sold each day, p(x), for an upcoming performance is
[tex]p(x)=-0.4x^2+8.8x+13[/tex]
where x is the number of days since the concert was first announced.
For peak sales, the point of maxima has to be determined.
So, differentiate the function of the number of tickets sold each day, p(x), with respect to the number of days, x, and equate it to zero to get the extremum point (maxima or minima), i.e.
[tex]\frac {p(x)}{dx}=0[/tex]
[tex]\Rightarrow -0.8x+8.8=0[/tex]
[tex]\Rightarrow x=\frac{8.8}{0.8}=11[/tex]
Now, check the sign of the second derivative at x=11, to ensure the obtained point is corresponding to the maxima or minima,
[tex]\frac {p^2(x)}{dx^2}=-0.8[/tex]
As the second derivative is negative, so x=11 is the point corresponding to maxima.
Hence, on the [tex]11^{th}[/tex] day the daily ticket sales will be at the peak.
Putting x=11 in the function p(x) to get the number of tickets sold that day.
[tex]p(x=11)= -0.4(11)^2+8.8(11)+13[/tex]
[tex]\Rightarrow 158.2.[/tex]
The number of tickets should be an integer, the obtained peak value is 158.2 so the higher integral value is not possible but the lower integral value is possible.
So, the maximum sale of the tickets is 158 on the [tex]11^{th}[/tex] day.
Fourteen less than five times a number is three times the number.
Answer:
False
Step-by-step explanation:
Answer:
5x-14=3x
Step-by-step explanation:
A bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting costs $22 per square yard?
Answer:
$1,320
Step-by-step explanation:
To find the area of the bedroom, you must multiply the length and the width. 15 multiplied by 12 is 180, so the area of the bedroom is 180 square feet. There are three feet in a yard, so you must divide the area of the bedroom in feet by 3 in order to get the area of the bedroom in yards. 180 divided by 3 is 60, so the area of the bedroom is 60 square yards. In order to find how much it will cost to carpet the room, you must multiply the area of the bedroom in yards by how much carpeting costs per square yard. 60 multiplied by 22 is 1,320, so it will cost $1,320 in order to carpet the room.
Discrete random variables Multiple select question. can have a finite or infinite number of values. have a set of distinct values. are countable. must have a clear upper limit.
A discrete random variables have some properties that includes:
have a finite or infinite number of valueshave a set of distinct valuesare countable. What is a Discrete random variables?A discrete random variables refers to variables that has either finite or a countable number of possible values.
Generally, a random variable is called continuous if its possible values contain a whole interval of numbers.
Therefore, the Option A , B and C is correct.
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helpoooooooooooooooooooooo
Answer:
can you please tell me the chapter
has the coordinates given.
H (0, 0), I (-3, -1), J (-1, -2)
Find the new coordinates after the translation 3 unit to the right and 2 units down.
Answer:
H'(3, -2)I'(0, -3)J'(2, -4)Step-by-step explanation:
The x-coordinate of a point is the number units to the right of the y-axis where the point may be found. Translating the point to the right adds to the x-coordinate. Translating to the left subtracts from the x-coordinate.
The y-coordinate of a point is the number of units above the x-axis where the point may be found. Translating the point upward adds to the y-coordinate. Translating downward subtracts from the y-coordinate.
__
When a point is translated 3 units right and 2 units down, its x-coordinate has 3 added to it, and its y-coordinate has 2 subtracted from it. We can summarize the transformation like this:
(x, y) ⇒ (x +3, y -2)
Applying this transformation to the given points, we find ...
H(0, 0) ⇒ H'(3, -2)
I(-3, -1) ⇒ I'(0, -3)
J(-1, -2) ⇒ J'(2, -4)
What is the relative frequency for students who have been to Alaska? What is the relative frequency for students who have been to Hawaii but not Alaska? What is the relative frequency for students who have not been to Alaska or Hawaii?.
The relative frequency for students who have been to Alaska, Hawaii but not Alaska, and not to Alaska or Hawaii is 0.28, 0.30, and 0.42 respectively.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, summarise the data.
The relative frequency for students who have been to Alaska will be
[tex]\rm Relative \ frequency = \dfrac{14}{50}\\\\Relative \ frequency = 0.28[/tex]
The relative frequency for students who have been to Hawaii but not Alaska will be
[tex]\rm Relative \ frequency = \dfrac{15}{50}\\\\Relative \ frequency = 0.30[/tex]
The relative frequency for students who have not been to Alaska or Hawaii will be
[tex]\rm Relative \ frequency = \dfrac{21}{50}\\\\Relative \ frequency = 0.42[/tex]
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Answer: A= 14/50 B= 15/50 C= 21/50
Step-by-step explanation:
you are welcome
Flat prats of solid figure
Answer:
the flat part of a solid figure is a face
BRAINLIEST
I don’t get what I’m supposed to do can someone explain?
Answer:
You will have to create a few models about how light and mechanical waves are absorbed and reflected through different substances. Then you will make two brief paragraphs... the first one explaining the similarities and differences of the light waves on the materials, the second will explain why the materials with their specific properties are suited for their specific functions.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Which product is equivalent to -7 × 25?
Answer:
-175
Step-by-step explanation:
Answer:
-175
Step-by-step explanation:
Calculators are very useful, :).
The American Heritage Center at the University of Wyoming is a conical building. If the height is 77 feet, and the area of the base is about 38,000 square feet, find the volume of air that the heating and cooling systems would have to accommodate.
Remember the formulas
Volume of a cylinder = πr^2h
Volume of a cone = πr^2h/3
Volume of a circle = πr^2
Volume of a sphere = (4/3)πr^3
The volume of the cone is 35069.35ft^3 which is equivalent to the air the heating and cooling system would accommodate
Data;
Height = 77 feetArea = 38,000 ft^2Volume of a Cone = ?Volume of a ConeThe shape of a cone has a spherical base. From the given data, we can find radius of the sphere from this.
[tex]A = \frac{4}{3}\pi r^3\\38000 = \frac{4}{3}* 3.14 * r^3\\4.186r^3 = 38000\\r^3 = \frac{38000}{4.186} \\r^3 = 9077.878\\r = \sqrt[3]{9077.878} \\r = 20.86ft[/tex]
The volume of a cone is given as
[tex]v=\frac{1}{3} \pi r^2 h\\v = \frac{1}{3} * 3.14 * 20.86^2 * 77\\v = 35069.35ft^3[/tex]
The volume of the cone is 35069.35ft^3
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HELP PLEASE. BRAINIEST
At the airport, ten people are waiting on standby. two seats become available, one first class and one coach. how many ways are there to fill the two seats?
At the airport, ten people are waiting on standby. two seats become available, one first-class and one coach, There are 90 ways to fill the two seats.
It is given that there are ten people waiting on standby.
Two seats are available, One is first class and another one is coach.
It is required to find how many ways are there to fill the two seats.
What is permutation?A permutation can be defined as the number of ways a set can be arranged.
We have ten people and two seats in which only two people can seat out of ten.
It is a problem based on the permutation concept.
So for the first seat, there are 10 ways to fill the first seat
and for the second seat, there are [tex](10-1)[/tex] ways to fill the second seat.
If "P" is the number of ways we can assign the seats:
Then, P = 10×(10-1) = 10×9 = 90
Thus, there are 90 ways to fill the two seats.
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Answer:
D. 90
Step-by-step explanation:
Have a good day!
HELP will give 50 pts. A group of friends wants to go to the amusement park. They have $197.75 to spend on parking and admission. Parking is $19, and tickets cost $35.75 per person, including tax. Write and solve an equation which can be used to determine xx, the number of people who can go to the amusement park.
i need to know the equation and the answer
To write the equation multiply the price per person by x( the number of people that can go) and add the price of parking to get the total cost:
equation: total = 35.75x + 19
to solve for x replace the total with 197.75 and solve for x:
197.75 = 35.75x + 19
Subtract 19 from both sides:
178.75 = 35.75x
Divide both sides by 35.75
X = 5
a total of 5 people can go.
Dean gets a tip of 15% on every meal she serves at the restaurant she works. Smith's bill was $10,300.00. How much tip did Dean get?
Answer:
Tip Total: $ 154,500.00
Total (Bill + Tip): $ 1,184,500.00
If three equal subdivisions of [0,3] are used, what is the Trapezoidal Rule approximation of
The trapezoidal rule is simply a rule that's used in the approximation of a definite integral.
What is a trapezoidal rule?Your information is incomplete as the details aren't complete. Therefore, an overview will be given.
In this case, the trapezoidal rule is simply a rule that's used in the approximation of a definite integral.
It simply evaluates the area under the curve by dividing the total area into smaller trapezoids rather than using rectangles.
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Please answer sdjhsdfkds
3.
Noel brings 15 cupcakes to share with her friends at lunch. She gives 13 to her friends
and 2 to her teachers.
Which equation represents this situation?
А.
15+(-13)+(-2) = 0
B.
15 +13 - 2 = 0
C.
15 +13 + 2 = 30
D.
15 - 13 +2=4
Use the vertical method
Answer:
(b) 4a³
Step-by-step explanation:
The value of B is the sum of the a-cubed terms:
12a³ -6a³ -2a³ = (12 -6 -2)a³ = 4a³ . . . . . matches the 2nd choice
__
Additional comment
A = (-2a)(-2a) = 4a²
suppose you deposit $2000 in a savings account that pays interest at an annual rate of 5% if no money is added or withdrawn from the account how many years will it take for the account to contain $2500 and how many years will it take for the account to contain $3000
Answer:
$2500: 4.57 years$3000: 8.31 yearsStep-by-step explanation:
The time required for an account earning compound interest to achieve a particular balance is given by the formula ...
t = log(A/P)/(n·log(1 +r/n))
where principal P is compounded n times per year at annual rate r. A is the account balance after that time. For this problem, n=1.
__
a.Here, we have ...
P = $2000, A = $2500, r = 0.05, n = 1
The number of years is ...
t = log(2500/2000)/log(1.05) ≈ 4.57 . . . years
__
b.For A = $3000, this becomes ...
t = log(3000/2000)/log(1.05) ≈ 8.31 . . . years
I need help please!!!!
Answer:
Step-by-step explanation: will u be my friend
The total number of plants in a garden is modeled by f(x)=2x2−12x, where x represents the number of rows in the garden.
How many rows are in the garden if it has a total of 110 plants?
Answer:
6 rows are in the garden if it has a total of 110 plants
Let's see
f(x)=1102x²-12x=1102x²-12x-110=02(x+5)(x-11)=0x=-5 or 11Take it positive
rows=x=11An arch over an apartment entrance is 3 feet high and 9 feet wide. Find the radius of the circle containing the arc of the arch.
Answer:
13.5
Step-by-step explanation:
When finding radius you would divide the diameter by 2, and the diameter is (3 times 9) 27. Thus 27 divided by 2 = 13.5
Hope this helps :D
A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1 blue marble. Two
marbles are drawn at random without replacement. Find the probability of:
Selecting a red marble on both draws.
Answer:
1/45
Step-by-step explanation:
2/10 * 1/9 = 1/45
2/10= 2 red marbles and 10 marbles in total.
what is 8 less then a number n is 13-
Answer:
n=21
Step-by-step explanation:
The equation would be n-8=13 then you add the 8 to the other side of the equation so it says n=21.
someone helpp, I don’t know how to solve it nor do I know the answer.
========================================================
Explanation:
For any parallelogram, the diagonals cut each other in half. Formally this is known as bisection.
What this means is that the pieces AE and CE are the same length.
AE = CE
6x-8 = 2x+24
6x-2x = 24+8
4x = 32
x = 32/4
x = 8
Then we can calculate the length of each piece mention
AE = 6x-8 = 6*8-8 = 48-8 = 40CE = 2x+24 = 2*8+24 = 16+24 = 40Both pieces are 40 units long to confirm we have the correct x value.
Therefore,
AC = AE + CE = 40+40 = 80
Two cars raced at a race track. The faster car traveled 20 mph faster than the slower car. In the time that the slower car traveled 165 miles, the faster car traveled 225 miles. If the speeds of the cars remained constant, how fast did the slower car travel during the race? Distance (mi) 165 Rate (mph) Time (h) 165 Slower Car Faster Car 225 + 20 225 + 20 55 mph 60 mph 75 mph 130 mph
Answer:
A.
Step-by-step explanation:
t=d/s
The answer is 55 miles
Answer:
55 miles per hour
Step-by-step explanation:
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