A sector of a circle of radius 8cm has an area of 120° at the centre. Find its perimeter
Answer:
Area of the sector = \(24\pi ^{2}\)
The perimeter of the sector of the given circle is 32.75 cm.
The perimeter of a sector is given by the sum of the arc length and the two radii that form the sector. To find the perimeter of this sector, we need to find the length of the arc and the two radii.
The area of the sector is given as 120° at the center. We can use this information to find the length of the arc by using the formula for the area of a sector:
Area of sector = (angle/360) x πr²
where r is the radius of the circle and angle is the central angle of the sector in degrees.
In this case, we have:
120/360 x π x 8² = 33.51 cm² (rounded to two decimal places)
The length of the arc can be found by using the formula:
Arc length = (angle/360) x 2πr
In this case, we have:
(120/360) x 2π x 8 = 16.75 cm (rounded to two decimal places)
The two radii that form the sector have lengths of 8 cm each.
Therefore, the perimeter of the sector is the sum of the arc length and the two radii:
Perimeter = arc length + 2r
= 16.75 + 2(8)
= 32.75 cm (rounded to two decimal places)
Therefore, the perimeter of the sector is approximately 32.75 cm.
To learn more about the sector of the circle,
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Please Help! It's for e d g e n u i t i y.
Given a graph of a system that has exactly one solution, how would you estimate the solution to the tenths place? Explain the process.
Answer: wheres the graph
Step-by-step explanation:
I need all three answer for an assignment
Dividing Decimals (PLEASE HELP)
Answer:
10) .04
11) 7
12) .25 and .05
Step-by-step explanation:
Find x and y. pls help
Answer:
y = 21
x = 8
Step-by-step explanation:
AB = 180
27 + 3y = 90°
-27 -27
-----------------------
3y = 63
÷3 ÷3
--------------
y = 21
x + 27 + 3y + 8x + 18 = 180
9x + 45 + 3(21) = 180
9x + 45 + 63 = 180
9x + 108 = 180
-108 -108
-----------------------
9x = 72
÷9 ÷9
----------------
x = 8
I hope this helps!
x-12-23+7.5=1 ; what is the value of x?
Answer:
X=28.5
Step-by-step explanation:
Hope this helps!
Answer:
x=28.5
Step-by-step explanation:
x=1+12+23-7,5
x=13+23-7,5
x=36-7,5
x=28,5
:))
Write the decimal equivalent of 35/99
Question 6 options:
A. There is no decimal equivalent
B. 0.3535
C. 0.3535....
D. 0.35
Evaluate. Write your answer as a fraction or whole number without exponents.
PLEASE HELP :'( 20 points! +brainly!
Type the number to the left of the rational number in the box to the point it represents on the number line.
1/2
1/5
9/10
-0.5
0.6
-4/5
Answer:
-4/5, -0.5, 1/5, 1/2, 0.6, 0.9
Step-by-step explanation:
Answer:
-4/5, -0.5, 1/5, 1/2, 0.6, 0.9
Step-by-step explanation:
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
PLS HELP WILL GIVE BRAINLIEST!!!: Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data for the sample of students who responded to the survey.
How many students in the survey chose to fly as their superpower?
______ students
Image here:
Answer:
38
Step-by-step explanation:
for this table, we can add up all of the students who chose flying (both the "male" and "female" students)
26 + 12 = 38
So, 38 students chose flying as their superpower.
hope this helps!!
A stadium has seats that are arranged into sections. In each section, the seats
are arranged into rows. There are 11
sections, 7 rows in each section, and 10
seats in each row. As a baseball game
in the stadium, all of the seats are
occupied. A seat will be chosen at
random and a price will be awarded to
the person sitting in that seat. If Hoda is
sitting in one of the seats, what is the
probability that she will win the price?
Answer:
1/770
Step-by-step explanation:
7x10x11=770 he is sitting in one seat so 1/770 she will win.
Winston earns $140 by selling 70 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, how many more hot dogs would Winston need to sell to earn a total of $300? Solve this problem in your notebook, and type your answer in the text box below.
Answer:
He needs to sell 530 more hotdogs :)
Step-by-step explanation:
well as you can see 70 is half of 140 so its $2 for 1 hot dog, for if you multiply 300 by 2 you get 600, but it says how many MORE do you would subtract 70 from 600 to get 530.
pls mark me brainliest
hope this helps
A moterboat that ravels with a speen of 20km/hour in still water has traveld 20 km against the current and 180km with the current having spent 8 hours on the entire trip find the speed of the current of the riveer.
plz help ill give brainliest
Answer:
10 kph
Step-by-step explanation:
Find the speed of the current of the river.
20/(20 - c) + 180/(20 + c) = 8
20(20 + c) + 180(20 - c) = 8(400 - c^2)
8c^2 - 160c + 800 = 0
8(c^2 - 20c + 100) = 0
8(c - 10)^2 = 0
c = 10
The speed of the current of the river is 10 km/hour.
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
\(5.333333333333333=16 ft\)
kaylie and her family have decided to go on a mountain biking trip. use the graph tp draw a graph that represents their trip.
In one hour they rode one mile up the mountain. the next two hours they rode an additional three miles up the mountain. next, they stopped to have a lunch for an half hour. after lunch they rode two more miles up the mountain for two hours. finally they rode back to the bottom of the mountain in two hours.
Answer:
1234567891011121314151617
Answer:
where is the question?
Step-by-step explanation:
How do I put this into a paragraph , you get 76 points so please answer
Answer:
put it all together and write normally
Step-by-step explanation:
Write the sentence as an equation.
248 more than the quantity 78 times a equals a
Plsplsplsplspls help me
Help and please don't do this for the points.
Answer:
Step-by-step explanation:
A = 2 B = 14 C = 21 D = 3
Answer:
Hi I'm sorry if this is incorrect I just know you've asked this question several times and know one has answered. Sorry I'm very bad at math or geometry anything with numbers I will probably suck at but, I guess it's
2/21 or 23 or 2 or 21 I'm so sorry once again because sometimes I get something way of from the actual answers or answers. Sooooooo sooo sorry I really did try to answer though.
Step-by-step explanation:
40 POINTS PLZ HURRY
ITEM BANK: Move to Bottom 2,5002,5003,0003,00032,50032,50035,000 Consider the data shown on the graph.
• The y-intercept represents a starting salary of $ ? for a new employee. • The slope represents an additional $ ? in salary for each additional year of employment. • If the starting salary for a new employee is changed to $35,000 and the yearly salary increase is unchanged, the new equation would be y = ? x + ? . • If the yearly salary increase is changed to $ ? , the new equation would be y = ? x + ? .
Answer:
Can you show the graph please?
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
If the yearly salary increase is changed to $ ? , the new equation would be y = ? x + ?.
Let $e for new empolyee.
Let $s for slope for salary.
We know if the starting salary for a new employee is changed to $35,000 and the yearly salary increase is unchanged, the new equation would be y = ?
y = ? the question mark will represent x.
Because $35,000 is the only number, that will be our main goal.
So $35 in shorten, added 25, 20. Which is 45.
With that we do +200 - 45. 155.
So 45+255=300
Answer: 300
Done ✔
Decide which measurement is greater. Place the correct symbol ( <, >, =) on the line between the measurements.
5 gallons _______ 18 quarts
1 pint 4 cups _____ 32 fl oz
3 pints ______ 8 cups
13 quarts _______ 4 gallons
4 quarts _______ 9 pints
The measurements that are greater using the correct symbol <, >, =) are:
5 gallons > 18 quarts1 pint 4 cups > 32 fl oz3 pints < 8 cups13 quarts < 4 gallons4 quarts < 9 pintsHow to determine the greater measurement?Gallons and quarts
1 gallon = 4 quarts.
So, we have:
5 gallons = 20 quarts i.e. 5 * 4
Hence,
5 gallons > 18 quarts
Pints and cups to fl oz
1 cup = 0.5 pints.
So, we have:
1 pint 4 cups = 1 pint + 2 pints
1 pint 4 cups = 3 pints
1 pint = 16 fl oz.
So, we have:
1 pint 4 cups = 16 * 3 fl oz
1 pint 4 cups = 48 fl oz
Hence,
1 pint 4 cups > 32 fl oz
Pints and cup
1 cup = 0.5 pints.
So, we have:
8 cups = 4 pints
Hence,
3 pints < 8 cups
Quarts and gallon
1 gallon = 4 quarts.
So, we have:
4 gallons = 16 quarts
Hence,
13 quarts < 4 gallons
Quarts and pints
1 quart = 2 pints.
So, we have:
4 quarts = 8 pints
Hence,
4 quarts < 9 pints
Read more about metric units at:
https://brainly.com/question/1052895
20 points to whoever gets these right!! <3
Answer:
1st one 8/20
Step-by-step explanation:
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
Learn more about functions at: https://brainly.com/question/25638609
#SPJ1
The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
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Can someone help me with both these questions?
Answer:
I don't understand
Step-by-step explanation:
where are the answers?
I'LL GIVE BRAINLIEST!!
( True / False ) Force is used in aristocracy.
If true how?
If false why?
Answer:
true
Aristocracy is a form of government in which political power is held by a select few privileged people called aristocrats or nobles. Coming from a Greek word meaning “rule by the best,” aristocrats are considered the most qualified to rule because of their moral and intellectual superiority.
which equation could be represented by the number line
< I I I I I I * l l l l l * l l l l l l > arrow going left A. -6 + (-1)=-7 B. 1+ (-7) = -6 C. -7 + 6 = -1 D. -6 + 7 = 1
9514 1404 393Answer: A. 3+ (-4) = -1Step-by-step explanation:The arrow indicates a subtraction of 4, or an addition of -4. The only equation containing such a subtraction or addition is choice A.
RIGHT ANSWERS ONLY!!!!!!!!!!
HELP PLEASE
Answer:
a >2
Step-by-step explanation:
n = 3a-6
n must be positive
3a > 6 for n to be positive
Divide by 3
3a/3 > 6/3
a >2
Answer:
Answer Choice 1.
Step-by-step explanation:
Anything less than or equal to 2 would make n negative. Anything greater than 2 will make n positive. Hope this helps!
subtract 2 1/5 - 5/6
Answer:
I believe the answer is 1.36666666667
Answer:
41/30Step-by-step explanation:
\(2\frac{1}{5} -\frac{5}{6} \\\\\frac{11}{5} -\frac{5}{6} \\Find-the , L.C.M\\L.C.M = 30\\\frac{11\times 6}{5 \times 6} - \frac{5\times 5}{6 \times 5} \\\frac{66}{30} - \frac{25}{30}\\\\\frac{66-25}{30} \\\\\frac{41}{30} \\= 1\frac{11}{30}\)