Answer:
6
Step-by-step explanation:
Find the arc length of the subtending arc for an angle of 35 degrees on a circle of radius 10.
Step-by-step explanation:
arc length = radius × central angle in radian
= 10 × (35 × π/180)^c
= 10 × ( 7π/36)
= 70π/36
= 70/36 × 22/7
= 55/9
= 6.111cm
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and
i hope my ans is helpful
Answer:
formula for length of an arc = 0 / 360 × 2ūr
Given , 0 = 35 , ū = 22/7 ,r =10
therefore; 35/360 × 2 x 22/7 ×10
= 6.111 or 55 /9
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Suppose that 30 percent of the bottles produced in a certain plant are defective. If a bottle is defective, the probability is 0.9 that an inspector will notice it and remove it from the filling line. If a bottle is not defective, the probability is 0.2 that the inspector will think that it is defective and remove it from the filling line.
a. If a bottle is removed from the filling line, what is the probability that it is defective?
b. If a customer buys a bottle that has not been removed from the filling line, what is the probability that it is defective?
The probability that a bottle on the line is defective and removed is 0.27 and the probability that a bottle on the line is defective and not removed is 0.03
The probability that a bottle on the line is defective?The given parameters are:
P(Defective) = 30%P(Remove) = 0.9P(Not defective and remove) = 0.2The probability that a bottle on the line is removed if defective is:
P = P(Defective) * P(Remove)
This gives
P = 30% * 0.9
Evaluate
P = 0.27
Hence, the probability that a bottle on the line is defective and removed is 0.27
The probability that a bottle not on the line is defective?This probability is represented as:
Defective and Not removed
It is calculated as:
P = P(Defective) * P(Not Remove)
Using the complement rule, the probability that a defective bottle would not be removed is:
P(Not Remove) = 1- P(Remove)
P(Not Remove) = 1 - 0.9 = 0.1
So, we have:
P = 30% * 0.1
Evaluate
P = 0.03
Hence, the probability that a bottle on the line is defective and not removed is 0.03
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2700 bricks are needed to build 300 square feet of a wall. How many bricks will be needed to build 1800 square feet of wall
1) Set up, but do not solve, a system of equations for the following application: A nurse mixes a 100% saline solution with a 20% saline solution to produce 160 milliliters of a 25% saline solution. How much of the 100% saline solution and how much of the 20% saline solution were used?
The systems of the equations for the word problem can be expressed as:
x + y = 500 --- (1)100x + 20y = 4000 --- (2)What is a system of equations?The system of equations is a set of simultaneous equations that comprises two or more equations expressed in algebraic terms.
From the given information, we are to determine two quantities
i.e.
For 100% saline solution (x) andFor 20% saline solution (y)So, 100% and 20% of saline solution produce 160 millimeters.
x + y = 160
Also, the combination of 100% and 20% of saline solution give an average of 25%.
The average now = sum of numbers/ the total numbers
25% = sum of numbers/160
sum of numbers = 25% (160)
Therefore, we can equate it to the mixture carried out by the nurse.
i.e.
25% (160) = 100%(x) + 20%(y)
100x + 20y = 4000
Therefore, the systems of the equations are:
x + y = 500 --- (1)
100x + 20y = 4000 --- (2)
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Each base of a right prism is a rhombus. The figure has
a vertex at (4, 0, 2). Which ordered triple represents
other vrtices of the prism? Select three options.
(-4, 0, -2)
(0, -3,2)
(0, -3,0)
(-4, 0, 2)
(0, 3, -2)
Answer:
(0, -3, 2)
(0, -3, 0)
(-4, 0, 2)
What are vertices?Corner where 2 or more edges meet.
How would you find vertices of a rhombus?If the length of the diagonals are equal, then the vertices of a rhombus will form a square. Formula used: We will use the formula of distance between two points which is given
[tex]\[d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} \], where \[({x_1},{y_1})\] and \[({x_2},{y_2})\][/tex]
be the two points.
Arlene is cutting square tiles along the diagonal to make pieces for a mosaic. What is an expression for the maximum diagonal length?
A. x√2
B. x √3/2
C. x^2/2
D. 2x√2
Answer:
Hello your answer is either A. B. C. OR D.
Step-by-step explanation:
This is correct cus it cant be wrong
also my other acc
is brokededed =(
Answer:
it could be one of those answers
Step-by-step explanation:
:P
Nuggets~
There are 48 cards in a pack and each card is either red or black.
The ratio of the number of red cards to the number of black cards is 1 : 1
8 red cards are removed from the pack.
Find the ratio of the number of red cards now in the pack to the number
of black cards now in the pack.
Give your answer in its simplest form.
Answer:
2 : 3
Step-by-step explanation:
Given :
Ratio of black cards and red cards = 1 : 1Total cards = 48Solving :
Let the cards be denoted by xx + x = 48x = 24 of each (red and black)8 red cards have been removed from the pack.
So, now the ratio is :
Red : Black = 24 - 8 : 24Red : Black = 16 : 24Red : Black = 2 : 3350 millilitres
0.75 litre
which container (a or b) holds the higher amount?
how much more does it hold?
give your answer in millilitres.
optional working
answer:
millilitres
Contain B holds 750 mL and container A holds 350 mL. Then contain B holds more amount than container A.
What is conversion?Conversion means to convert the same thing into different units.
Let container A contains 350 milliliters.
Let container B contains 0.75 liters.
The conversion of liters to milliliters will be given below.
1 liter = 1000 milliliters
Then we have
Container A = 350 mL
Container B = 0.75 x 1000 = 750 mL
Then the contain B holds 750 mL and the container A holds 350 mL.
Then contain B holds more amount than container A.
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PLEASE ANSWER ASAP!!!!!!!!!!
Step-by-step explanation:
sqrt(5x - 2) <= 3
5x - 2 <= 9
5x <= 11
x <= 11/5
but also : 5x -2 >= 0
otherwise the square root is not valid for real numbers.
5x >= 2
x >= 2/5
so the solution is for all x out of R (real numbers), where
2/5 <= x <= 11/5
Solve for the point of intersection using elimination.
5x+2y=3 3x-2y=5
please help me!
Answer:
5x+2y=3 3x-2y=5
7xy=3 xy=5
7xy+xy=3+5
6xy=8
Step-by-step explanation:
it's are the answers
which shape listen below will result from cross section b?
Answer: Ellipse
This cross section is not parallel to the circular base, so we get a stretched out circle of sorts. In other words, we get an ellipse.
giving brainliest help asap
Answer:
12,30
Step-by-step explanation:
Hence the numbers can either be (6,60) or (12,30), but as both the numbers are greater than 6 so the answer is (12,30)
Football boot sizes of a football team continuous or discrete
Answer:
discrete?
according to probability of basic things we know that there are more people different than same so there is more than enough probability of those sizes being discrete.
pls, help I will make you the branliest!
Answer:
See below
Step-by-step explanation:
Use protractor to measure the UNmarked angle (approx 135 degrees)
then subtract this value from 360 degrees to find the angle in question
Help me with this. Need to pass my finals
Answer:
90 degree counter clockwise rotation about the origin
reflect across the x-axis
Step-by-step explanation:
What is the area of the octagon, rounded to the nearest square inch? 88 in. 2 175 in. 2 332 in. 2 700 in. 2.
Write 84 as a product of primes.
Use index notation when giving your answer
SOLUTION
TO DETERMINE
84 as a product of primes.
Use index notation to write the number
EVALUATION
Here the given number is 84
We prime factorise the given number
84 = 2 × 2 × 3 × 7
Number of 2's = 2
Number of 3's = 1
Number of 7's = 1
Rewriting the given number in index form we get
━━━━━━━━━━━━━━━━
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The difference between face value and place value of 5 in 2,10,519
brainly.in/question/22495648
2. if one bee drinks 1ml honey then how much honey 1000 bees will drink??
please help < <<<<<<<<33333333 TYY
-20 -8 + (-12)
Answer:
-30
Step-by-step explanation:
-20-8=-28
-28-12
=-30
What percent of 4c in each expression?
c
An expression given is to subtract a – b – c from the sum of 3a – 2b + 4c and 3b – 2c .
What is the expression about?An expression in math is known to be the putting together of numbers, variables, etc.
For the expression above,
(3a - 2b + 4c) + (3b - 2c) - (a - b - c)
Therefore:
= 3a - 2b + 4c + 3b - 2c - a + b + c
The answer will be = 2a + 2b + 3c
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In circle R, RS = 12 and m/SRT = 90°. Find the length of ST. Express your
answer as a fraction times 7.
R
T
S
Answer:
[tex]l(\widehat {ST})=6\pi [/tex]
Step-by-step explanation:
Radius (r)= RS = 12 (Given)[tex] Central\: angle \:(\theta) = m\angle SRT =90\degree[/tex] (Given)To find: [tex]l(\widehat {ST})[/tex]Formula for finding the length of arc is given as:[tex]l(\widehat {ST})=\frac{\theta}{360\degree}\times 2\pi r[/tex][tex]l(\widehat {ST})=\frac{90\degree}{360\degree}\times 2\pi (12)[/tex][tex]l(\widehat {ST})=\frac{1}{4}\times 24\pi [/tex][tex]l(\widehat {ST})=6\pi [/tex]The required length of an arc ST is 6π units which is subtended by an angle.
What is an arc?The arc is a portion of the circumference of a circle.
The formula for calculating the arc states that:
Arc length = 2πr (θ/360)
Where r = the radius of the circle,
θ = the angle (in degrees) subtended by an arc at the center of the circle.
As per the question, we have:
θ = 90° and r = 12 units
Substitute the given values in the formula,
Arc length = 2π(12) (90/360)
Arc length = 6π
Therefore, the required length of an arc ST is 6π units.
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Match the real-world situation with the appropriate algebraic expression. Mary is 2 years younger than her sister Claire. x/2 Monday is half-price movie day. 3x Each topping costs an additional $3. x-2 ←
Answer:
Step-by-step explanation:
A is 3 You have to minus Clares age by two to get Mary's age
B is 1 You have to divide the price in half
C is 2 the only one left
In a telephone poll, 2 people said they like shopping and 8 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the total number of people polled?
Answer:
4:1
Step-by-step explanation:
There are eight people who don't like shopping and 2 who do. So for every 1 person who likes shopping there are 4 people who don't
Which expression is irrational?
A 18
B 18
C 64
D 364
Answer:
all of those answers are rational numbers
Step-by-step explanation:
Mitch is making a target for the beanbag toss at his school's fall fun-run and carnival. the target is a short round basket divided evenly into 4 sections. the player wins a prize for each section the beanbag lands in. there is 1 section that wins the player a rubber ball. there are 3 sections that win the player a teddy bear. what fraction of the target wins the player a teddy bear?
Answer:
3/4 is your fraction because 3 out of the four sections gives you the bear
Step-by-step explanation:
The answer what is it
Find three consecutive integers such that their sum is 40 more that tiwce the middle integer.
Answer:
39, 40, 41
Step-by-step explanation:
Let x represent the middle integer. The sum of the three integers will be ...
(x -1) +x +(x +1) = 3x
This is 40 more than 2 times the middle integer, so we have ...
3x = 40 +2x
x = 40 . . . . . . . subtract 2x
The three integers are 39, 40, 41.
_____
Additional comment
It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.
Please Help its a math problem amber has done 3 projects this year in Social Studies and wants a mean project grade of 92. Her first three project grades are 92, 93 and 89. What does she need to make on the fourth project to meet her goal?
Question 5 options:
94
90
95
92
Answer:
a) 94
Step-by-step explanation:
92 + 93 + 89 + 94 = 368/4= 92
Answer:
94
explanation:
because common sense
Patricia has a circular swimming pool. The diameter of the pool is 15 feet. What is the area of the swimming pool.
Answer:
The area of the pool is 176.71
Step-by-step explanation:
The formula for a triangle is Area= Pi r (radius) sq.
In this problem, you need to remember that radius is half the diameter.
STEP 1: Divide the diameter in half.
STEP 2: Multiply your answer by itself. (example: if your answer was 8, you would multiply by 8)
STEP 3: Multiply the answer by 3.14 (or Pi)
STEP 4: You just found the area of a circle, GREAT JOB!
diameter= 15 feet
to find:the area of the circular swimming pool.
solution:[tex]a = \frac{1}{4} \pi {d}^{2} [/tex]
[tex]a = \frac{1}{5} \times \pi \times {15}^{2} [/tex]
[tex]a = 176.71459 \: {ft}^{2} [/tex]
[tex]a = 176.71 \: {ft}^{2} [/tex]
therefore, the area of the circular swimming pool is 176.71 square feets.
find angle BAD of the diagram.
[tex]∠BAD≈65.22°[/tex]
Step-by-step explanation:Note:
The following formula is tan formula:
[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]
1) Finding the tan of ∠BAC
[tex]tan(\theta)=\dfrac{4}{5}[/tex]
[tex]\theta=tan^-1(\dfrac{4}{5})[/tex]
2) Finding the tan of ∠CAD
[tex]tan(\theta)=\dfrac{3}{6}[/tex]
[tex]\theta=tan^-1(\dfrac{3}{6})[/tex]
3) Add the value of ∠BAC to the value of ∠CAD
[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{3}{6})≈65.22°[/tex]
4) The sum of interior angles in quadrilateral is 360°
Then
[tex]tan(∠BAC)+tan(∠ACB)+tan(∠CAD)+tan(∠ACD)=360°[/tex]
[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{5}{4})+tan^-1(\dfrac{3}{6})+tan^-1(\dfrac{6}{3})=180°[/tex]
[tex]180°+∠CDA+∠CBA=^?360[/tex]
[tex]180°+90°+90°=^?360°[/tex]
[tex]360°=360°[/tex]
5. A sum of money is divided among Ethan, Jun Wei
and Raj in the ratio 5:6:9. After Ethan gives $50
Find the amount of money Ethan has after giving
to his mother, the ratio becomes 3:4:6.
$50 to his mother.
(Step by step explain pls)
Answer:
$450
Step-by-step explanation:
Let E be the amount of money Ethan starts with, J be the amount Jun Wei starts with, and R be the amount Raj starts with. Let M be the total amount of money to start with.
To start:
[tex]E:J:R = 5:6:9[/tex]
This means Ethan has 5/20 of M, the money to start with. This reduces to 1/4 of M.
Afterwards:
[tex](E-50):J:R = 3:4:6[/tex]
This means Ethan has 3/13 of the remaining money (which is M-50!) after giving up 50. So
E = (M/4), or 4E = M
and
[tex](E - 50) = 3/13 * (M - 50)[/tex]
We know 4E = M, so we can substitute that in:
[tex](E - 50) = 3/13 * (4E - 50)E - 50 = (12/13)E - 150/13E - 650/13 = (12/13)E - 150/13(1/13)E = 500/13E = 500[/tex]
That's how much money Ethan had to start with. But we're asked how much he has AFTER giving $50 away, so that's $450.
