A circle with radius of 1 cm sits inside a 3 cm x 4cm rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
3 cm
1 cm
4 cm
cm?
Answers
First of all find the total area and then subtract the area of circle from the area of rectangle, It will be easier that way...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Finding area of rectangle:[tex] \qquad \bf \implies \: area = length \times breadth[/tex]
Length = 3 cmBreadth = 4 cm[tex] \qquad \tt \blue\looparrowright \purple{area = 3 \times 4} [/tex]
[tex] \qquad \tt \blue\looparrowright \purple{area = 12 \: {cm}^{2} } [/tex]
Finding area of circle:[tex] \qquad \bf \implies \: area = \pi {r}^{2} [/tex]
π = 22/7r = 1[tex] \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times {1}^{2} } [/tex]
[tex] \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times 1} [/tex]
[tex] \qquad \tt \red\looparrowright \green{area = 3.14 \: {cm}^{2} } [/tex]
Find the area of shaded region now,[tex] \qquad \bf \implies \: area =area \: of \: rectangle - area \: of \: circle[/tex]
Area of rectangle = 12 cm²Area of circle = 3.14 cm²[tex] \qquad \tt \pink\looparrowright \orange{area = 12 - 3.14 } [/tex]
[tex] \qquad \tt \pink\looparrowright \orange{area = 8.86} [/tex]
➪ Thus, The area of the shaded region is 8.86 cm²...~
Related Questions
what value of x makes this equation true -6x+3= 45
Answers
-3 -3 subtract
-6x=45
Divide both sides by -6
X=-7
I think this is the answer
Answer:
[tex] - 7[/tex]
Step-by-step explanation:
-6 x + 3 = 45
collect like terms and then make x the subject of formula
=> -6x = 45 -3
note: when turning three over to the other side the plus sign change to minus
In order to make x the subject of formula we divide 45 - 3 by -6
=> [tex] \frac{45 - 3}{ - 6}\\ [/tex]
subtract 45 from 3 which gives us 42
now divide 42 by -6
=> -7
Answer 1, 2, and 3.
Answers
Answer:
1.
a) isosceles right triangle
b) scalene triangle
c) isosceles triangle
d) equilateral triangle
2. 53 degrees
3. Yes. You can use the side-side-side (SSS) postulate because side QR and side SR are shown as congruent, and side QP and SP are also congruent. Since you know that the other two sides are congruent, then that means that the last side must be congruent as well.
Step-by-step explanation:
This student incorrectly simplified this expression.
−12m+3+5m
Step 1: −7m + 3
Step 2: −4m
Identify the student's error.
Explain what they did wrong.
Answers
Answer:
/
dont subtract 3 from -7m so it would be -7m + 3
7m
/
= m = 3
A line has a slope of -7 and passes through the point (0, -7). Is it possible to write the equation
of the line without doing any work? Explain why or why not?
Thank you!
Answers
Answer: yes
Step-by-step explanation: they have to be past 0 to start
Answer:
y = -7x -7
explanation:
y - y₁ = m ( x - x₁ )
y - -7 = -7 ( x - 0 )
y + 7 = -7x
y = -7x -7
Or using the formula:
y = mx + b
y = -7x - 7
using this formula, if only passes y-axis, we can find equation without doing any work.
Nancy started the year with $425 in the bank and is saving $25 each week. Sam started the year with $705 but is spending $15 a week. When will Nancy and Sam have the same amount of money? How much money will they each have? Write a system of equations that model the following situation. Define each variables with a “Let” statement, write two equations, and solve completely.
Answers
Answer:
The system of equations:
Nancy: Y=$425+$25x
Sam : Y=$705-$15x
Given:
Amount in Nancy's bank = $425
Amount saved by Nancy each week = $25
Amount in Sam's bank = $705
Amount spent by Sam each week = $15
To find:
Y=$425+$25xx
Y=$425+$25x
The system of equations describing the given models.
Solution
1) Amount in Nancy's bank = $425
Amount saved by Nancy each week = $25
Let the number of weeks Nancy saving her money be 'x'.
Let the total amount of money in Nancy's bank after x weeks be 'y'.
The equation for Nancy: Y=$425+$25x
Answer for NancyY=$425+$25x2) Amount in Sam's bank = $705
Amount spend by Sam each week = $15
Let the number of weeks Sam spending his money be 'x'
Let the total amount of money left in Sam's bank after x weeks ='y'
The equation for Sam:
Y=$705-$15 x x
Answer for Sam: Y=$705-$15xStep-by-step explanation:
Adrin serve each guest 1 /8 of the cake What is the greatest number of guest Adiran can serve
Answers
Answer:
8 guests.
Step-by-step explanation:
1 cake split by 8 guests means each guest gets 1/8 of the cake.
please give brainliest!!
The probability a car salesman sells a car to a customer is 0.05
Assuming the salesmen sees 16 customers in a week, what is the probability he sells less than 3 cars?
Write answer using three decimal places
Answers
Using the binomial distribution, it is found that there is a 0.957 = 95.7% probability that he sells less than 3 cars.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
The probability a car salesman sells a car to a customer is 0.05, hence p = 0.05.The salesmen sees 16 customers in a week, hence n = 16.The probability he sells less than 3 cars is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{16,0}.(0.05)^{0}.(0.95)^{16} = 0.4401[/tex]
[tex]P(X = 1) = C_{16,1}.(0.05)^{1}.(0.95)^{15} = 0.3706[/tex]
[tex]P(X = 2) = C_{16,2}.(0.05)^{2}.(0.95)^{14} = 0.1463[/tex]
Then:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.4401 + 0.3706 + 0.1463 = 0.957.
0.957 = 95.7% probability that he sells less than 3 cars.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
question
he probability a car salesman sells a car to a customer is 0.05
Assuming the salesmen sees 12 customers in a week, what is the probability he sells less than 3 cars?
Write answer using three decimal places
Answer:
Step-by-step explanation:
3 1/2 is to 5 as x is to 15
Answers
Answer:
[tex]x = 10.5[/tex]
Solving steps:
3 1/2 = 5, x = 15
divide 3.5 by 5
=> 0.7
0.7 by 15
=> 10.5
. A clothing manufacturer needs 2.4 yards of fabric to make a coat and 1.6 yards of fabric to make a matching crop pants.
The number of coats, x, and crop pants, y, that can be made from a 48-yard bolt of fabric can be represented by the
equation 2.4x + 1.6y = 48. Graph the function and find its intercepts. What does each intercept represent?
Answers
Y = (-2.4x + 48)/1.6
X Intercept is where y = 0
0 = -2.4x/1.6 + 48/1.6
X = 20
Y intercept is where x = 0
Y = (-2.4*0)/1.6 + 48/1.6
Y = 30
X and y are how coats and pants are made respectfully so the x intercept is where y = 0, meaning no pants are made, only jackets. The y intercept is the opposite, it’s how many pants can be made if no jackets are made.
MOLECULES A glass of water contains 0.25 liter of water. If 1 milliliter of water contains 3.3 x 10^22 water molecules, how many water molecules
are there in the glass of water? Write your answer in scientific notation
Answers
Answer:
8.25*10^24
Step-by-step explanation:
1000*.25= 250 (this converts the .25 into milliliters)
250(3.3 * 10^22)
= 8.25*10^24
The required molecules of water in the glass are given as 8.25 × 10²⁴.
What is a unit of measurement?Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.
Here,
A glass of water contains 0.25 liter of water.
1 liter = 1000 mililiters
So,
0.25 liter = 250 mililiter
Now,
1 milliliter of water contains 3.3 x 10²² water molecules,
Number of molecules in 0.25 liters of water,
= 250 × 3.3 x 10²²
= 8.25 × 10²⁴
Thus, the required molecules of water in the glass are given as 8.25 × 10²⁴.
Learn more about measurement here:
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#SPJ2
find the value of x y and z in the rhombus below
Answers
Answer:
Step-by-step explanation:
In Rhombus opposite angles are equal.
6x + 8 = 86
6x = 86 - 8 {Subtract 8 from both sides}
6x = 78
x = 78/6 {Divide both sides by 6}
x = 13
In rhombus adjacent angles are supplementary.
7y + 3 + 86 = 180
7y + 89 = 180
7y = 180 - 89 {Subtract 89 form both sides}
7y = 91
y = 91/7 {Divide both sides by 7}
y = 13
5z + 4 + 86 = 180
5z + 90 = 180
5z = 180 - 90 {Subtract 90 from both sides}
5z = 90
z = 90/5 {divide both sides by 5}
z = 18
In an election, Candidate A received 476 votes and Candidate B received 374 votes. What percentage of the votes did Candidate A receive?
Answers
476/850 * 100/100
(476 * 100/ 850) * 1/100 = 56/100
56/100 = 56%
What is the scale factor from AABC to ADEF?
B
E
A
5
5
5
5
A
5
с
5
F
C
A. 5
B. 10
C. O
a
D. 1
Answers
Answer:
D
Step-by-step explanation:
ED/AB = 5/5 = 1
The scale factor from ΔABC to Δ DEF is, 1
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The figure of ΔABC to Δ DEF is shown in image.
Now, We can formulate for the scale factor,
⇒ AB / DE
⇒ 5 / 5
⇒ 1
Thus, The scale factor from ΔABC to Δ DEF is, 1
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ7
What must m
A. 18
B. 59
C. 121
D. Not Enough Information
(Here is a picture)
An explanation would be very helpful!
Answers
Help me please i need the lenght of yz . . . . . . . . . .. . . . . . .
Answers
Have a great day! And pls br4inlest
The radius of a circle is tripled, what happens to the circumference of the circle?
Answers
Answer:
It gets bigger
Step-by-step explanation:
You just multiply the circumference by 3
Answer:
The circumference is tripled
Step-by-step explanation:
The formula for the circumference is 2πr. If you triple the radius the formula would be 2π3r. the ratio between the two is 2π3r / 2π1r. 2π & r cancels out and you have 3/1 left. Therefore the answer is the circumference is tripled.
The fact that there is no exponential in the formula indicates that the proportional increase is lineal.
Question on image. (calculus)
Answers
Answer:
D
Step-by-step explanation:
[tex]\tan^{-1}(\frac{a}{b})}[/tex] is the angle on the right, so
[tex]\cos[\tan^{-1}(\frac{a}{b})}]=\frac{b}{\sqrt{a^2+b^2}}[/tex]
That is D
tara lives ¾ mile from the park. Nilhil lives 6⅔times as far as tara from the park .How far,in .iles ,does Nikhil live from the park?
Answers
Answer:
5 miles
Step-by-step explanation:
If Tara lives 3/4 miles from the park and Nikhil lives 6 2/3 as far, then you must multiply them together: 3/4*6 2/3 = 3/4*20/3
Solve: 3/4*20/3=5
Therefore, Nikhil lives 5 miles from the park.
The miles that Nikhil lives from the park given the miles that Tara lives from the park is 5 miles.
What are fractions?A fraction is a number that has a numerator and a denominator. The numerator is the number above and the denominator is the number below.
How many miles does Nikhil live from the park?Multiply 3/4 by 6 2/3
3/4 x 6 2/3
3/4 x 20/3 = 5 miles
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
Which is an x-intercept of the continuous function in the table? (–1, 0) (0, –6) (–6, 0) (0, –1
Answers
Answer:
i think it is (-1,0) and (-6,0)
Step-by-step explanation:
i hope, this helps, if not i'm sorry
What are the coordinates (x, y) of the hole in the graph of the function f(x)?
f(x) = (x ^ 2 - 4x - 12)/(x + 2)
Answers
Answer:
(6,0)
Step-by-step explanation:
Desmos Graphing Calculator
Jessica bought KPOP merchandise at the store. She bought two t-shirts for $13.95
each and she bought a calendar for $7.95. She paid with a $50.00 bill
Answers
Suppose the diameter of a circle is 16, What is its circumference?
Answers
Answer:
Step-by-step explanation:
Circumference = πd
= 3.14 * 16
= 50.24
Please answer a question the images.
Answers
The distribution of the animals in the coral reef is an illustration of probability
The most likely animalThe distribution of the animals is given as:
Blue fish = 3
Yellow fish = 7
Sea turtle = 1
Eels = 3
The animal with the highest frequency is the most likely animal.
Hence, the Yellow fish is the most likely animal.
Which is more likely?From the question, we have:
Blue fish = 3
Eels = 3
Both animals have the same frequency.
This means that Riley has equal chance of seeing a blue fish and an eel.
The probability of seeing an animal with fins
The animal with fins are:
Blue fish = 3
Yellow fish = 7
So, the probability is:
[tex]p = \frac{3 + 7}{3 + 7 + 1 + 3}[/tex]
[tex]p = \frac{10}{14}[/tex]
Simplify
[tex]p = \frac 57[/tex]
Hence, the probability of seeing an animal with fins is 5/7
The least likely animalThe animal with the least frequency is:
Sea turtle = 1
So, the likelihood is:
[tex]p = \frac 1{14}[/tex]
Hence, the sea turtle has the least likelihood of 1/14
Animals with equal likelihoodThe Blue fish and the Eels have the same frequency of 3
This means that animals have equal likelihood
The probability of seeing each animal
We have:
Blue fish = 3
Yellow fish = 7
Sea turtle = 1
Eels = 3
Express as probability
Blue fish = 3/14
Yellow fish = 7/14
Sea turtle = 1/14
Eels = 3/14
Express the fractions as decimals
Blue fish = 0.214
Yellow fish = 0.500
Sea turtle = 0.071
Eels = 0.214
So, their likelihoods are:
Blue fish = Equally likely
Yellow fish = Certainly likely
Sea turtle = Unlikely
Eels = Equally likely
Read more about probabilities at:
https://brainly.com/question/25870256
Exercise 1 Directions: Classify each statement as true or false
1. Every square is a rectangle
2. Every rectangle is a mombus.
3. Every trapezoid is a quadrilateral.
4. Every trapezoid is a parallelogram
5. Every rectangle is a quadrilateral
6. Every rectangle is a parallelogram.
7. Every square is a rhombus.
8. Every rhombus is a parallelogram.
9. Every paralelogram is a square.
10. A square is both a rectangle and a rhombus.
Paki sagot po Salamat
Answers
Answer:
1: True
2: False? (unsure)
3: True
4: False
5: True
6: True
7: True
8: True
9: True
10. True
5/8 divided by
2/3 would equil
Answers
can someone help pls
Answers
Sure.
See above
I believe this is correct, hope it helps.
Sorry for messy work
-3.5 is equal to 3 1/2 so thats why we place the point there
pleaseeeee helppppppp
Answers
1 kilometers = 1 x 1000 meters
The kilo is a prefix which means 10 to the power 3 or simply 1000
Given the data set 5, 5, 6, 6, 6, 6, 6, 6, 6, 7 which of the mean, median or mode would you use to describe the typical or central value in this date set? Why?
Answers
Answer:
Both median,mode and mean are measures of central tendency but according to the question Mode is the best measure since it is unique
someone please help me with my math
Answers
Answer: The answer is 24.6
Equations in two lines are 6X minus Y equals four and Y equals 4X plus 2Y is the value of X and the solution for the system of equations
Answers
Rearrange 6x-y=4 for y. Then since both equations equal y, you can set them equal to each other. From there solve for the y variable. To solve for x, plug in the new found y variable back into one of the original equations. Hope that helps