Answer:
Step-by-step explanation:
Perimeter of a sector
The circumference of a circle is 2 pi r.
pi = 3.14
r = 21 cm
The angle of this particular sector is 60 degrees.
So the formula for this sector is P = 2*r + 60/360 * 2* pi * r
Now all you need do is plug the numbers in.
P = 2 * 21 + 1/6 * 2 * 3.14 * 21
P = 42 + 21.98
P = 63.98
Area of the sector
Area of a circle = pi * r^2
Area of a sector = theta / 360 * pi * r^2
theta = 60 degrees
area of this sector = (60/360) * 3.14 * 21^2
Area of this sector = (1/6) * 3.14 * 441
Area of this sector = 230.79
[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]
Given :-We have given that, Angle AOB is 60° The radius of the circle is 21cmTo Find :-We have to find the area and perimeter of the sector OABLet's Begin :-We have ,
Two radii of the circle OA and OB = 21 cm each [tex]\bold{\angle{ AOB = 60° }}[/tex]AB is the segment of the circleWe know that,
[ Perimeter of sector = Arc length + radius + radius ]
[tex]\bold{\blue{ Perimeter \: of \: Sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× 2πr + r + r }}}[/tex]
Subsitute the required values in the above formula :-
Length of the arc of OAB
[tex]\sf{=}{\sf{\dfrac{ 60°}{360°}}}{\sf{×2πr + 2r }}[/tex]
[tex]\sf{=}{\sf{\dfrac{ 6}{36}}}{\sf{×2×21π + 2 × 21 }}[/tex]
[tex]\sf{= }{\sf{\dfrac{1}{6}}}{\sf{ × }}{\sf{\dfrac{22}{7}}}{\sf{× 42 + 42 }}[/tex]
[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{ × }}{\sf{\dfrac{11}{7}}}{\sf{ × 42 + 42 }}[/tex]
[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{× 11×6 + 42 }}[/tex]
[tex]\sf{ = 11 × 2 + 42 }[/tex]
[tex]\sf{= 22 + 42 }[/tex]
[tex]\bold{\red{= 64 \: cm}}[/tex]
Thus, The perimeter of the sector OAB is 64 cm
Now,We have to find the area of sector OAB
We know that,
[tex]\bold{\blue{ Area \: of \: sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× πr² }}}[/tex]
Subsitute the required values in the above formula :-
Area of sector OAB
[tex]\sf{=}{\sf{\dfrac{60°}{360°}}}{\sf{× πr² }}[/tex]
[tex]\sf{=}{\sf{\dfrac{6}{36}}}{\sf{× π × 21 × 21 }}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× π × 21 × 21 }}[/tex]
[tex]\sf{=}{\sf{\dfrac{1 }{6}}}{\sf{× 441π}}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 441 × }}{\sf{\dfrac{22}{7}}}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{ × 63 × 22}}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 1386 }}[/tex]
[tex]\bold{\red{= 231 \: cm²}}[/tex]
Hence, The area and perimeter of the sector OAB is 64 cm and 231cm²
What is sector? Sector is nothing but the portion covered by the two radii of the circle For example, In the given circle OAB is sector as it is enclosed by two radii OA and OB.How I find a area of a trapezoid
using the distance formula d=√(x2- x1)^2 +(y2-y^1, what is the distance between point (-3,1) and point (-2,4) rounded to the nearest tenth
Answer:
[tex]d = \sqrt{(x2 - x1) + (y2 - y1)} \\ d = \sqrt{ (- 3 + 2) + (1 + - 4)} \\ d = \sqrt{ - 1 + - 3 } \\ d = \sqrt{ - 4 } \\ d = - 2[/tex]
Step-by-step explanation:
hope it helps you<3Review the equation below. 2KClO3 Right arrow. 2KCl + 3O2 How many moles of oxygen are produced when 2 mol of potassium chlorate (KClO3) decompose? 1 2 3 6
Answer: 3 mol of O₂
Solution:
The Balance chemical equation is as follow,
2 KClO₃ → 2 KCl + 3 O₂
According to this equation on decomposition 2 moles of Potassium chlorate (KClO₃) produces 2 moles of Poatassium chloride (KCl) and 3 moles of oxygen gas (O₂).
Therefore, when,
2 moles of KClO₃ produces = 3 moles of O₂
So,
2 moles of KClO₃ will produce = X moles of O₂
Solving for X,
X = (2 mol × 3 mol) ÷ 2 mol
X = 3 mol of O₂
Using above method you can calculate any amount of O₂ or KCl produced by decomposing any amount of KClO₃.
Answer:
3 mol of O₂
Step-by-step explanation:
i got a hundred on Edge
please help it would really help alot
Step-by-step explanation:
An appropriate estimation would be to the ones place.
[tex] \frac{36 \div 4}{40 \div 4} = \frac{9}{10} [/tex]
9/10 (90%) is closer to 1 than to 0.
The estimation for 36/40 is 1.
1/3 (33%) is closer to 0 than to 1.
The estimation for 1/3 is 0.
[tex] \frac{70 \div 10}{100 \div 10} = \frac{7}{10} [/tex]
7/10 (70%) is closer to 1 than to 0.
The estimation for 7/10 is 1.
1/8 (12.5%) is closer to 0 than to 1.
The estimation for 1/8 is 0.
Find the three consecutive square numbers whose sum is 149.
Answer:
36 + 49 + 64 = 149
6^+7^2+8^2
Hope This Helps!!!
sketch the graph of f(x)=-3^x and describe the end behavior of the graph.
Answer: 3-
Step-by-step explanation:
lolololololololololollolool
Sue Ellen owns 2/7 of a business. What percent of the partnership does she own?
Answer:
20%?
Step-by-step explanation:
I think im wrong but what u can do is u can convert the fraction into a decimal then get ur answer from there.
What is the conversion factor for the relationship between millimeters and centimeters?.
Answer:
10 mm = 1 cm
Step-by-step explanation:
10 mm = 1 cm
__
The SI prefix "milli-" means 1/1000. The prefix "centi-" means 1/100. Consequently 1 cm = 0.010 m and 1 mm = 0.001 m.
There are 10 mm in 1 cm.
A balloon containing 0. 040 mol of a gas with a volume of 5. 0 mL was expanded to 1. 0 L. Which equation should you use to find the amount of gas added? V subscript 2 equals StartFraction V subscript 1 n subscript 2 over n subscript 1 EndFraction. N subscript 2 equals StartFraction V subscript 2 n subscript 1 over V subscript 1 EndFraction. N subscript 2 equals StartFraction V subscript 1 n subscript 1 over V subscript 2 EndFraction.
Answer:
n2=v2n1/v1
Or B
Step-by-step explanation:
P, R, and T are constant, then the volume is directly proportional to the mole. Then the correct option is A.
What is an ideal gas equation?An ideal gas is a theoretical composed of a set of randomly moving gas particles that interacts only through elastic collision.
Given
A balloon containing 0.040 mol of a gas with a volume of 5.0 mL was expanded to 1.0 L.
[tex] \rm V_1 = 5 \ mL\\ V_2 = 1000 \ mL\\ n_1 = 0.040 \ mol [/tex]
We know the equation of the ideal gas.
[tex] \rm PV = nRT [/tex]
where P, R, and T are the constant, then
[tex] P \propto n[/tex]
Then we have
[tex] \rm \dfrac{V_2}{V_1} = \dfrac{n_2}{n_1} \\\\ V_2 = n_2 *\dfrac{V_1}{n_1} [/tex]
Thus, the correct option is A.
More about the ideal gas equation link is given below.
https://brainly.com/question/1056445
Adrian wants to buy a skateboard that costs $85 After 1 month, he has $4 in savings and plans to quadruple the amount he has saved each month for 4 months Will Adrian have enough money to buy the skateboard in 4 months?
1. What are the vertices of △′′′white up pointing triangle . e prime , f prime , g prime for each translation? a. ⟨,−⟩(△)=△′′′
Answer:
The coordinates of the vertices are ′(,−), e prime . open 1 comma negative 3 close comma ′(,−), f prime . open 5 comma negative 2 close comma and ′(,−). g prime . open 4 comma negative 8 close .
Step-by-step explanation:
which of the following polynomials has a graph with odd symmetry? a. 7x^4+13x^3-11 b. 5x^7+4x^6+3x^5+x c.13x^5 -1/2x^3+7x+3 d. 8x^5+7x^3-5x
Answer:
D) [tex]f(x)=8x^5+7x^3-5x[/tex]
Step-by-step explanation:
A function is odd if its graph is symmetric to the origin, which we can check this if [tex]f(-x)=-f(x)[/tex] is true:
Option A
[tex]f(x)=7x^4+13x^3-11\\\\f(-x)=7(-x)^4+13(-x)^3-11\\\\f(-x)=7x^4-13x^3-11[/tex]
Since [tex]f(-x)\neq-f(x)[/tex], then the function does not have odd symmetry
Option B
[tex]f(x)=5x^7+4x^6+3x^5+x\\\\f(-x)=5(-x)^7+4(-x)^6+3(-x)^5+x\\\\f(-x)=-5x^7+4x^6-3x^5+x[/tex]
Since [tex]f(-x)\neq-f(x)[/tex], then the function does not have odd symmetry
Option C
[tex]f(x)=13x^5-\frac{1}{2}x^3+7x+3\\\\f(-x)=13(-x)^5-\frac{1}{2}(-x)^4+7(-x)+3\\ \\f(-x)=-13x^5-\frac{1}{2}x^4-7x+3[/tex]
Since [tex]f(-x)\neq-f(x)[/tex], then the function does not have odd symmetry
Option D
[tex]f(x)=8x^5+7x^3-5x\\\\f(-x)=8(-x)^5+7(-x)^3-5(-x)\\\\f(-x)=-8x^5-7x^3+5x[/tex]
Since [tex]f(-x)=-f(x)[/tex], then the function DOES have odd symmetry. You can also see that the function is odd because every term has an odd exponent.
What is the 4th equivalent fraction to
5/6
Answer:
20/24
Step-by-step explanation: Hope this helps
Bryant types 1400 words in 25 minutes. How many words does he type per minute?
Answer:
56 words per minute
Step-by-step explanation:
1400÷25=56
Answer:
56 wpm
Step-by-step explanation:
283 is the same as the quotient of 97 and u
Answer:
283=97/u U=2.917
Step-by-step explanation:
if you have choices and more information, it would be helpful when answering questions
find the value of x in the equation below.
PLEASE SHOW ALL YOUR WORK
-3x-5=-17
Answer: x=4
Step-by-step explanation:
-3x-5=-17
+5 +5
-3x=-12
/-3 /-3
x=4
Factor this trinomial: 6x^2 +19x+3
Please show all work, I give Brainliest.
Step-by-step explanation:
[tex]\implies \: {6x}^{2} + 19x + 3 \\ \implies {6x}^{2} + (18 + 1)x + 3 \\ \implies {6x}^{2} + 18x + x + 3 \\ \implies6x(x + 3) + 1(x + 3) \\ \implies(x + 3)(6x + 1)[/tex]
Select all the expressions that are equivalent to 4-3.
A) -12
B) (-4) - (-4).(-4)
C) 2-6
D (1/4) • (1/4) • (1/4)
E) (1) · (1). (1)
F) 8-1/ 2 to the power of 2
G) 12
Answer:
See below.
Step-by-step explanation:
4*-3
A) -12
C) 2*-6
-hope it helps
The expressions that are equivalent to 4 × -3 are A) -12 and C) 2 × -6.
What is the expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Option A is a straightforward multiplication of 4 and -3, which gives -12.
Option C (2 × -6) is equal to -12.
Option B can be simplified as follows: (-4) - (-4) · (-4) = (-4) - 16 = -20.
Therefore, option B is not equivalent to 4 × -3.
Option D is equal to 1/64.
Option E is equal to 1.
Option F is equal to 2, and option G is equal to 12.
Options B, D, E, F, and G are not equivalent to 4 × -3.
Learn more about the expression here :
brainly.com/question/21751419
#SPJ2
Find the coordinates of point C on AB that is = of the distance from A to B.
Answer:
We need to see the graph can u show me the graph
Step-by-step explanation:
?
Raheel is comparing the cost of two parking garages. Garage A charges a flat fee of $6 per car plus $0.50 per hour. Garage B charges a flat fee of $2 per car plus $1 per hour.
Answer:
$6 + .50x = $2 + $1.00x
4 = .50x
8hr = x, the number of hours when both garages cost the same amount
$6 + .50 x 8 =
$10 would be the cost a both garages after 8 hours
Step-by-step explanation:
#A
Flat fee=6Rate of change=0.5Equation in slope intercept form
y=mx+by=0.5x+6#B
Flat fee=2$Rate of change=1Equation in slope intercept form
y=x+2Now for compare take any no
Let's take 10
For garage A
y=0.5(10)+6=5+6=11$For garage B
y=10+2=12$Hence Garage B is charging more
need help please this is due very soon
what's this....?
5(x+9)=60
Answer:
Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items withheld: Social Security tax that is 6. 2% of her gross pay Medicare tax that is 1. 45% of her gross pay state tax that is 21% of her federal tax a. $600. 99 b. $610. 54 c. $641. 83 d. $662. 99.
Step-by-step explanation:
hello ur intro
Classify each pair of numbered angles. Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once. Two lines intersect. The largest angle has the equation (3x minus 52) degrees to define it and the second to largest angle has the equation (2x plus 2) degrees to define it. A straight line with another line coming out of it at an angle. The largest angle has the equation (10x minus 20) degrees to define it and the smaller angle has the equation (6x plus 8) degrees to define it.
(i) Pairs of neighboring angles are supplementary and opposite angles have the same measure.
(ii) The two angles formed by a line coming out of another line are supplementary.
How to analyze pairs of angles
(i) When two straight lines pass through each other, then two pairs of opposite angles are constructed. A pair with angles of [tex](3\cdot x + 52)^{\circ}[/tex] and another pair with angles of [tex](2\cdot x + 2)^{\circ}[/tex], each pair of angles with different measures are supplementary.[tex]\blacksquare[/tex]
(ii) When a straight line comes out of another straight line, from a point distinct to any endpoint of the former, then we construct two supplementary angles. The largest angle has a value of [tex](10\cdot x + 20)^{\circ}[/tex], whereas the smaller one has a value of [tex](6\cdot x + 8)^{\circ}[/tex]. [tex]\blacksquare[/tex]
To learn more on angles, we kindly invite to check this verified question: https://brainly.com/question/15767203
Help! it's giving me a headache and I will be very thankful
Answer:
Hey, I'm not sure if this will help but by just looking at it I would say C.
Explanation:
This is because it looks like the parallelogram can be adjusted to be a rectangle which would give you the answer of 77.
I hope that makes sense!
A veterinarian divided 4/5 of a bottle of medicine equally among 4 sick cats. How much did she give each sick cat?
Layla read 6 books in the first two months she was a member of a book club. Which equation best represents y, the total number of books read in x number of months?
A. y = 6x
B. y = 2x
C. y = 3x
D. Not Here
Answer:
C
Step-by-step explanation:
So if we look at the information that we already know, Layla's reading to months ratio is, 6:2. But to find out the equation we want to find out how many books she reads in ONE month instead of two.
Divide 2/2, and for ratios if you divide one side you have to do the same thing to the other side, so we get, 3:1. Where Layla reads 3 books per 1 month.
Therefore the answer is C.
If we wanted to double check our answer we could substitute our information back in:
6=3×2
6=6
Since the equations equal each other, we know we got it correct.
can someone please help me
Answer:
1a. 58/99
1b. 53/90
1c. 29/50
Step-by-step explanation:
let's start with the easiest one
1.(c)
0.58 = 58/100 = 29/50
that is the simplest possible form, as 29 is a prime number and not a factor of 50.
1.(a)
0.585858585858... = 58×0.0101010101010101...
now, we know that 1/"double digit" (like 1/22) mostly produces a repeating pattern with a period length of 2 after the decimal point.
and we find
1/99 = 0.01010101010101...
so, our solution is
58 × 1/99 = 58/99
that is the simplest possible form, as 58 and 99 do not share any factors.
1.(b)
0.5888888888888... = 0.5 + 0.0888888888888... =
= 0.5 + 8×0.01111111111111... = 0.5 + 8×1/10 × 0.1111111111...
we know how to create 0.11111111111... :
1/9 = 0.111111111111111...
so, our solution is
0.5 + 8 × 1/10 × 1/9 = 0.5 + 8/90 = 5/10 + 8/90 =
= 45/90 + 8/90 = 53/90
this is the simplest possible form, as 53 is already a prime number and not a factor of 90.
yall HELP PLEASE What is the slope of the line segment?
Answer:
a. 5
Step-by-step explanation:
Taking two points, (0,0) and (1,5), find the slope using [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Plugging the two points in, we have [tex]\frac{5-0}{1-0}=5[/tex] as the slope.
Answer:
Slope = 5
Step-by-step explanation:
We will use 2 points on the line.
(1 , 5) and (2 , 10)
formula for slope = y2 - y1/x2 - x1
10 - 5/2 - 1
= 5/1
= 5
The slope is 5.
ASAP!!! please help!!!!!!!!!!!!!!!!!!!!!
Answer:
1.5
Step-by-step explanation:
because if u divide 6 by 4 that will equal 1.5