Answers
Answer:
m∠FAN = 80°
Step-by-step explanation:
Area of a sector is given by the expression,
Area of the sector = [tex]\frac{\theta}{360}\pi r^{2}[/tex]
Here, θ = central angle subtended by the arc
r = Radius of the circle
By substituting the values from the question,
288π = [tex]\frac{\theta}{360}(\pi )(36)^2[/tex]
θ = [tex]\frac{288\pi }{1296\pi }\times 360[/tex]
θ = 80°
Therefore, m∠FAN = 80° will be the answer.
Related Questions
3. Mrs Naidoo wants to buy a new kitchen cabinet on which she can place her new
microwave. Mrs Naidoo notices one advertised for R3 999,00. She decides to
save until she has enough cash to pay for the kitchen cabinet. She uses her
December bonus of R2 900,00 to deposit into her savings account where she
is offered 3,5% p.a. compound interest.
Determine if Mrs Naidoo will be able to afford the kitchen cabinet a year later if she
adds R960,00 to the saved amount.
please help
Answers
Answer:
thats about like ummm 69?
Step-by-step explanation:
A factory has a container filled with 35,874 litres of cold drink. In how many bottles of 21 L capacity each can it be filled ? How much drink will be left behind?
Answers
Answer:
Number of bottles= 1,708
Step-by-step explanation:
Giving the following information:
Total liters= 35,874 litres
Bottle capacity= 21 liters
To calculate the number of bottles that can be filled given the actual capacity, we need to use the following formula:
Number of bottles= total liters / cottle capacity
Number of bottles= 35,874 / 21
Number of bottles= 1,708
First correct response gets brainliest
Answers
Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
LOOK AT THE PICTURE PLZ NEED HELP!
Answers
Answer:
J
Step-by-step explanation:
Sorry I'm very busy so no step by step
i need actually help on this asap!
Answers
Answer:
Step-by-step explanation:
x = -1: 2(3)^(-1) = 2(1/3) = 2/3
x = 0: 2(3)^0 = 2(1) = 2
x = 1: 2(3)^1 = 6
x = 2 2(3)^2 = 18
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown TelephoneCompany, reports they can resolve customer problems the same day they are reported in 70 percent of the cases.Suppose the 15 cases reported today are representative of all complaints. a) What is the probability 10 of the problems can be resolved today? b) What is the probability 9 or 12 of the problems can be resolved today? c) What is the probability more than 10 of the problems can be resolved today?
Answers
Answer:
a) [tex]P(10)=0.2061[/tex]
b) [tex]P(9\ or\ 12)=0.3172[/tex]
c) [tex]P(X>10)=0.51545[/tex]
Step-by-step explanation:
From the question we are told that:
Probability of Same day resolution [tex]P=70\%=>0.7[/tex]
Probability of Another day resolution [tex]Q=1-P=>30%=>0.3[/tex]
Sample size [tex]n=15[/tex]
a)
Generally the equation for Probability 10 of the problems can be resolved today is mathematically given by
Since
[tex]P(X)=^{n}C_{x}*p^{x}*Q^{n-x}[/tex]
[tex]P(10)=^{15}C_{10}*p^{10}*Q^{15-10}[/tex]
[tex]P(10)=\frac{15!}{10!(15-10)!*0.70^{10}*0.30^5}[/tex]
[tex]P(10)=0.2061[/tex]
b)
Generally the equation for Probability 9 or 12 of the problems can be resolved today is mathematically given by
[tex]P(9)=\frac{15!}{9!(15-9)!*0.70^{9}*0.30^6}[/tex]
[tex]P(9)=5005*2.942*10^{-5}[/tex]
[tex]P(9)=0.1472[/tex]
OR
[tex]P(12)=\frac{15!}{12!(15-12)!*0.70^{12}*0.30^3}[/tex]
[tex]P(12)=455*3.737*10^{-4}[/tex]
[tex]P(12)=0.17[/tex]
Therefore Probability 9 or 12 of the problems can be resolved today is
[tex]P(9\ or\ 12)=P(9)+P(12)[/tex]
[tex]P(9\ or\ 12)=0.1472+0.17[/tex]
[tex]P(9\ or\ 12)=0.3172[/tex]
c)Generally the equation for probability more than 10 of the problems can be resolved today is mathematically given by
[tex]P(X>10)=P(11)+P(12)+P(13)+P(15)[/tex]
Where
[tex]P(11)=\frac{15!}{11!(15-11)!*0.70^{11}*0.30^4}[/tex]
[tex]P(11)=0.2186[/tex]
[tex]P(13)=\frac{15!}{13!(15-13)!*0.70^{13}*0.30^2}[/tex]
[tex]P(13)=0.0916[/tex]
[tex]P(14)=\frac{15!}{14!(15-14)!*0.70^{14}*0.30^1}[/tex]
[tex]P(14)=0.0305[/tex]
[tex]P(15)=\frac{15!}{15!(15-15)!*0.70^{15}*0.30^0}[/tex]
[tex]P(15)=0.00475[/tex]
Therefore
[tex]P(X>10)=0.2186+0.0916+0.0305+0.00475+0.17[/tex]
[tex]P(X>10)=0.51545[/tex]
Can someone give me the anwers I don’t understand it
Answers
Which choice is equivalent to the quotient shown here when x2 0?
Answers
Answer:
Option A.
Step-by-step explanation:
√18x÷√32
√18x/√32
√18x/32
√9x/16
9 and 16 are perfect squares
=3√x/4.
Option A
100 students are interviewed to see which of biology, chemistry or physics they prefer.
72 of the students are girls. 34 of the girls like biology best.
11 of the boys prefer physics.
24 out of the 27 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answers
Answer:
62%
Step-by-step explanation:
34 girls like biology
? boys like biology
It is 34%≤
27% Prefer chemistry
11% prefer physics
27 + 11 = 38
100 - 38 = 62
let me know if i'm wrong
Evaluate the expression 9 + 8 − 2 x 4.
B 11
C 13
D 16
A 9
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{9 + 8 - 2 }\times\large\text{ 4}\\\large\text{9 + 8 = \bf 17}\\\large\text{17 - 2 }\times\large\text{ 4}\\\large\text{2 }\times\large\text{ 4 = \bf 8}\\\large\text{17 - 8 }\\\large\text{\bf = 9}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf D. 9}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?
Answers
6+3+8= 17
Then, to find the probability you put the number of marbles which you want to find the probability of being pulled out on top of the fraction and make it out of 17
6/17
Use the graph to write a linear function that relates Y toX
Answers
x-y=xy
2-1=1
Y=1
1/3 x 1/4 = ?????????
Answers
Answer:
1/12
Step-by-step explanation:
1/4 X 1/3 = 1/12
Answer:
1/12
Step-by-step explanation:
When multiplying fractions, you multiply it like normal numbers, so 1 is multiplied by 1, and 3 is multiplied by 4.
For example:
3/4 x 9/10 would be equal to 27/40 because the 3 is multiplied by 9 and 4 is multiplied by 10.
3 x 9 = 27
4 x 10 40
27/40
Therefore on your question it would be 1/12.
PLS HELP ASAP...A triangle has side lengths of (10m-5) centimeters, (6m-2) centimeters, and (8n+4) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
1. 12n+16m−7
2. 16m+8n−3
3. 12n+5m+4
4. 12n+9m
Answers
Answer:
perimeter = 10m - 5 + 6m - 2 + 8n + 4
= 16m -7 + 8n + 4
16m + 8n -3
option 2
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The sum of all the sides of the triangle will be known as the perimeter of the triangle.
A triangle has side lengths of (10m - 5) centimeters, (6m - 2) centimeters, and (8n + 4) centimeters.
The expression represents the perimeter of the triangle will be
P = (10m - 5) + (8n + 4) + (6m - 2)
P = 16m + 8n - 3
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Of the 10 kids in a chess club, 5 are left-handed and 5 are right-handed. The club holds a round-robin tournament in which every player plays against every other player exactly once. Of all the matches, how many of them have a left-handed player competing against a right-handed player?
Answers
The total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita plays the game.
We have given that,
Of the 10 kids in a chess club, 5 are left-handed and 5 are right-handed.
What are permutation and combination?A permutation can be defined as the number of ways a set can be arranged, order matters but in combination, the order does not matter.
We have 5 girls and 5 boys in a chess club:
There are a total of 5×5 games girls play against a boy.
= 5×5
= 25
The number of games a girl play against another.
It is a combination problem so the total number of games:
= 10
A fraction of the games are boy-versus-boy:
The number games boy-versus-boy = 10
The number games Boy vs Boy & Girl vs Girl & Boy vs Girl
= 10+10+25
= 45
So the fraction = 10/45 ⇒ 2/9
If Anita is one of the club members then Anita will have to play against 9 people at the tournament.
Total number of games = 45
Then the fraction = 9/45 ⇒ 1/5
Thus, the total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita play the game.
To learn more about combination visit:
brainly.com/question/4546043
#SPJ2
Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.
Answers
Given that mCD=20°, find mBC
Answers
Answer:
70°
Step-by-step explanation:
[tex] m\widehat {BC} = 90\degree - m\widehat {CD} [/tex]
[tex] m\widehat {BC} = 90\degree -20\degree [/tex]
[tex] m\widehat {BC} = 70\degree [/tex]
we have BD is 17 cm AB is 24cm find angle of B
Answers
Hope this helps:)
A total of 120 smoothies were sold on the first day of the month from July-December. True or false
Answers
Answer:
the answer would basically be 720 smoothies in total from Jul.-Dec.
Step-by-step explanation:
YWW :)
a company packages stickers in sets of 40. if each set costs $80.85, what is the cost of 240 stickers?
Answers
Answer:
485.10
Step-by-step explanation:
250/80.85 = 2.96
In the nearest tenth, the answer is 3
Which of the following is a dilation?
Answers
Answer:
A) image is being doubled in size in A
Step-by-step explanation:
B and C are rotations
D is a translation
An adult ticket costs £4.
A child ticket costs £3.
Hina spends £47 on cinema tickets.
She buys 8 adults tickets.
Work out how many child tickets she buys.
Answers
8*4=32
47-32= 15
15/3= 5
What are the dimensions of the rectangle shown on the coordinate plane? On a coordinate plane, a rectangle has points (1, negative 1), (10, negative 1), (10, negative 5), (1, negative 5). The base is 3 units and the height is 9 units. The base is 9 units and the height is 4 units. The base is 10 units and the height is 4 units. The base is 11 units and the height is 6 units. HURRRY 20 POINTS AND MORE IF RIGHT
Answers
Answer:
The base is 9 units and the height is 4 units.
Step-by-step explanation:
For any number, y
Add one third of the number
Then subtract _____________ of the result.
The answer is y
Answers
Answer:
y/3
Step-by-step explanation:
According to the conditions :
y + y/3 - x = y
y + y/3 - y = x
(3y + y - 3y )/3 = x
y/3 = x
Answer:
[tex]\frac{3}{12}[/tex]
Step-by-step explanation:
Create an equation and solve for x:
[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]
Select ALL the expressions that are equivalent to -4(8x-3)
A) -20X
B) 4(3-8x)
C) -32x-12
D) 2(-16x+6)
E) 5-9(8x-3)
Answers
Answer:
dddddStep-by-step explanation:
Point M is the midpoint of segment AB. If the coordinates of A are (−3, 6) and the coordinates of M are (−5, 2), what are the coordinates of B?
Answers
Answer:
Point M is the midpoint of AB. If the coordinate of A are (-3,6) and the coordinates of M are (-5,2), what are the coordinates of B?
Step-by-step explanation:
Solve for X in 3x/10 + x/5 = 15 SHOW WORK
Answers
Answer:
x = 30
Step-by-step explanation:
correct me if i am wrong but i think you have to
a.) change the denominator's to be the same :
ten is a common denominator therefore you times the second expression by two ( x/5 becomes 2x/10 )
b.) put the formula back together :
3x/10 + 2x/10 = 15
5x/10 = 15
5x = 150
x = 30
If a boat travled 70miles in 5 hours how far did the boat travel in one hour
Answers
Answer:
350millas
Step-by-step explanation:
two parallel lines are cut by a transversal. what is the measure of angle 8
Answers
Answer:
A
Step-by-step explanation:
∠4 and ∠8 are corresponding angles
corresponding angles are congruent ( equal to each other )
so if ∠4 = 100° then ∠8 also equals 100°
Answer:
A
Step-by-step explanation:
8 is equal to 4(100) because it is corresponding angle, corresponding angle are equal to each other...If 4 is 100 then 8 will be 100
Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left parenthesis, 4, comma, 7, right parenthesis.
Answers
Answer: [tex]y=8x-25[/tex]
Step-by-step explanation:
Given
Line passes through [tex](3,-1)\ \text{ and}\ (4,7)[/tex]
Equation of line when it passes through two points [tex](x_1,y_1),(x_2,y_2)[/tex]
[tex]\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}[/tex]
Insert the values
[tex]\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25[/tex]
Answer:
8x-25
Step-by-step explanation:
:O thats ez