What is the measure, in radians, of central angle POQ? StartFraction 2 pi Over 3 EndFraction radians StartFraction 3 pi Over 4 EndFraction centimeters StartFraction 4 pi Over 3 EndFraction radians StartFraction 3 pi Over 2 EndFraction radians
Answers
Answer:
The answer is "[tex]\bold{\frac{2 \pi}{3}}[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
Using formula:
[tex]\to \bold{\theta = \frac{S}{r}}[/tex]
Where,
[tex]\theta =central \ angle \\\\{S} = arc \ length\\\\{r} = radius \ length[/tex]
[tex]\to \theta = \frac{PQ }{OQ}[/tex]
[tex]=\frac{6 \pi}{9} \\\\ = \frac{2 \pi}{3}[/tex]
The radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.
Line segments PO and QO are radii.
We need to find the radian measure of central angle POQ.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If the radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
We know that
π radians = 180°
Therefore,
180° = π radians
135° = x
180° × x = 135° × π radians
x = 135° × π radians/180
x = 3π/4 radians
Hence, the radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.
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Related Questions
good night all ✨
[tex]{\boxed{1.}} \: \tt 2x + 8 = 24[/tex]
[tex]{\boxed{2.}} \tt \: 6x = 12 - 6[/tex]
must accompany "step by step"! :)
Answers
Answer:
28+8=24
61=12-6
Step-by-step explanation:
Subtract 8 from both sides of the equation.
2x+8=24
2x+8-8=24-8
Simplify
2x=16
Divide both side of the equation by the same term
2x/2 16/2
Simplify
x=8
Subtract the numbers
6x=12-6
6x=6
Divide both side of the equation by the same term
6x/6 6/6
Simplify
x=1
hope it helps took a long time to do lols
Answer:
Subtract 8 from both sides of the equation.
2x+8=24
2x+8-8=24-8
Simplify
2x=16
Divide both side of the equation by the same term
2x/2 16/2
Simplify
x=8
Step-by-step explanation:
Sorry I can't aNswer well
An atom's mass is determined by the number of ____________ and ___________ in the atom's nucleus.
a
protons, neutrons
b
electrons , protons
c
protons, electrons
d
electrons , neutrons
Answers
Answer:
a
protons, neutrons
Step-by-step explanation:
An atom's mass is determined by the number of protons and neutrons in the atom's nucleus.
Alexander has pp pennies and nn nickels. He has a maximum of $0 worth of coins altogether. Write this situation as an inequality.
Answers
Answer:
p+5n≤0
Step-by-step explanation:
i just took it
Rewrite the following expression in simplest radical form: (4x^2/3)^3 - (81x^5)^1/4
Answers
Answer:
64x^2/3x^5/4
Step-by-step explanation:
(4x^2/3)^3 / (81x^5)^1/4
4^3*x^2/3*3 / 3^4*1/4*x^5/4
64*x^2 / 3*x^5/4
Solve the following
system of equations:
5x – 2y = 4
x + 2y = 8
Answers
Answer:
x=2
y=3
Explanation
1. Solve x + 2y = 8 for x:
x + 2y = 8
x+2y + − 2y = 8 + −2y(Add -2y to both sides)
x = −2y + 8
2. Substitute −2y + 8 for "x" in 5x − 2y =4
5x − 2y = 4
5 (−2y + 8) − 2y =4
−12y + 40 = 4 (Simplify both sides of the equation)
−12y + 40 + −40 = 4 + −40(Add -40 to both sides)
−12y = −36 (Divide both sides by -12)
y = 3
3. Substitute 3 for "y" in x= −2y + 8
x = −2y + 8
x = (−2) (3) + 8
x = 2 (Simplify both sides of the equation)
Answer:
x = 2 and y = 3
Which Unit lengths represent the sides of a right triangle
A. 3,4 and 5
B. 6, 8 and 15
C. 20, 21 and 29
D. 9, 12 and 15
Answers
Answer:
A 3, 4 and 5
Step-by-step explanation:
what is the degree of the expression below? x^2-3x+7
Answers
Answer:
2
Step-by-step explanation:
At the local pet store, zebra fish cost $2.10 each and neon tetras cost $1.85 each. If
Mary bought 16 fish for a total cost of $31.60, not including tax, how many of each
type of fish did she buy?
a) 8 zebra fish; 8 neon tetras
b)8 zebra fish; 9 neon tetras
c) 14 zebra fish; 2 neon tetras
d) 7 zebra fish: 9 neon tetras
Answers
Let me know if you need an explanation
find the slope from this graph
Answers
Answer:
m (slope) = 664
Step-by-step explanation:
Formula:
m (slope) = y1-y2/x1-x2
m = 16570 - 21226 / 1982 - 1986
= -4,656 / -4
= 664
If 75% of a number is 165 and 10% of the same number is 22, find 85% of that number
Answers
Answer:
187
Step-by-step explanation:
0.75x=165 x=220
220*0.85
Please help me with this!!
Answers
2 dollars each
Step-by-step :
Since 7 - 3 is 4
And 2 fries were bought then we have to divide 4 by 2 which equals 2. So 2 dollars were each small package of fries.
CAN SOMEONE PLEASE HELP ME???
Answers
Answer:
m=2
Step-by-step explanation:
slope is the average rate of change in a specific interval
we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)
m=(y2-y1)/(x2-x1)
=(-1-7)/(-3-1)
=-8/-4
=2
martin tosses 4 pennies, what is the probability that at least 3 coins land on heads?
Answers
(3 + 81)(3 - 81) =
DONE
h
Answers
Answer:
-6552
Step-by-step explanation:
First do 3+81 = 84 then 3-81 = -78. Then multiply them together to get -6552
Answer:
（3 + 81）（3-81）=9-6561
Stepby-step explanation:
Marcus has 4 times the sum of 6 and the number of marbles David has let d represent the number of marbles David has write an algebraic expression to represent how many marbles Marcus has.
Answers
Answer:
4(6+d)
Step-by-step explanation:
The school has 330 students in 11 classrooms. What is the unit rate of
students per classroom? Explain how you got your answer.
Answers
330 Students ÷ 11 Classrooms
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 11
330 Students ÷ 11
11 Classrooms ÷ 11
=
30 Students
1 Classroom
=
30 Students
Classroom
= 30 Students per Classroom
marking people brainlist 7s-s=
Answers
Answer:
6s
Step-by-step explanation:
I need help!!
Simplify this complex fraction
Answers
Pls help due at 2:00
Answers
Answer:
1. $8.77
2. 498.456
Step-by-step explanation:
Answer for 30points!!!!
Answers
Answer:
The answer is 4x
Step-by-step explanation:
Simpify
1. Combine like terms
2. Solution
THIS IS A 5 POINTS QUESTIONS!
Answer:
4x
Step-by-step explanation:
cus if you put 4x it wouldn't solve
5x-x+7=4x+2
5x-x-4x+7=2
7=2 that is wrong so the answer is 4x
......................
Answers
Hey again!
The answer to your question is 14.54 inches
We can find this by doing 1454/100, and that is 14.54.
Hope it helps, have a great day! Let me know if there's more to help with.
At a sale, you purchased a $20 scarf for $15. What
was the percent of change?
Answers
20 - 15 = $5
20 divided by 5 = 4
So it was 1/4 off which equals 25%
Adrián compró una bicicleta cuyo precio original es de 400.00 pesos pero al pagar en la caja le hicieron 20% de descuento cuánto pagó al niño para la bicicleta
Answers
Answer:
320 pesos
Step-by-step explanation:
Un 20% de descuento en formato decimal es 0.20. La totalidad de la bicicleta es representada como 100% o 1 y nosotros queremos saber el precio despues del descuento que seria
100% - 20% = 80% o 0.80
Ahora simplemente multiplicamos este decimal por el valor original de la bicicleta para saber el precio descontado...
400 * 0.80 = 320 pesos
Write 57 divided 50 as a percentage
Answers
Answer:
87.72%
Step-by-step explanation:
What is the fraction (ratio) 50/57 as a percent value?
49/57 = ? ... 51/57 = ?
Detailed calculations below:
Introduction. Fractions
A fraction consists of two numbers and a fraction bar:
50/57
The number above the bar is the numerator: 50
The number below the bar is the denominator: 57
Divide the numerator by the denominator to get fraction's value:
Val = 50 ÷ 57
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% = p/100 = p ÷ 100.
Calculate fraction's value.
Divide the numerator by the denominator to get fraction's value:
50/57 =
50 ÷ 57 ≈
0.87719298245614
Note:
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
Calculate the percent value:
0.87719298245614 =
0.87719298245614 × 100/100 =
(0.87719298245614 × 100)/100 =
87.719298245614/100 =
87.719298245614% ≈
87.72%;
In other words:
1) Calculate fraction's value.
2) Multiply that number by 100.
3) Add the percent sign % to it.
Answer:
:: written in two ways ::
Not rounded:
50/57 = 87.719298245614%
Rounded to maximum 2 decimals:
50/57 ≈ 87.72%
Signs: % percent, ÷ divide, × multiply, = equal, / fraction bar (division bar), ≈ approximately equal;
Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark;
More operations of this kind:
49/57 = ? ... 51/57 = ?
Identify the correct Triangle Congruence Theorem statement that describes the figure below.
Ο BAC & FED
O ABC & DEF
O ABC & DFE
О АСВ & DEF
Answers
Sam is making a project out of wood. He needs a board that is 2 3/4 feet long. He has a board that is 3 1/8 feet long How much does Sam need to cut from the board for the project?
Answers
so far two-thirds of the seniors bought prom tickets. if they need minimum of 250 people to attend in order to keep the venue, how many students must be in the senior class to ensure they sold enough tickets
Answers
Answer: 375
Step-by-step explanation:
2/3 of x= 250
250 x 3=750
750//=375
They need a minimum of 375 students in order to keep the venue,
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, So far two-thirds of the seniors bought prom tickets. if they need a minimum of 250 people to attend in order to keep the venue.
Assuming they need a minimum of x people.
∴ (2/3)x = 250.
2x = 750.
x = 375.
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what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin
Answers
Answer:(-8,-4)
Step-by-step explanation:
Giving brainlest please help xoxo stay safe and healthy
Answers
40*0.20=8
40+8=48
You’re welcome and I hope you stay safe.
You are throwing a party at an arcade. You recieve 5 tokens for every dollar spent. Create an equation that describes this situation. T is the total number of tokens and D is the number of dollars.
Answers
Answer: 5D = T
Step-by-step explanation:
A dollar spent will give 5 tokens.
The amount of dollars spent therefore will increase the number of tokens you by fivefold.
Formula is therefore:
5D = T
Testing it.
Assume you spent 5 dollars, how many tokens would you have:
5D = T
5 * 5 = 25 tokens