Mathematics College

Find the area of the shaded region in the figure. Round results to the nearest uni. Use 3.14

Answers

Answer 1

The Area of the shaded part is 3.44 cm²

Area of circle:

The formula used to find the Area of a circle is given by

Area of circle = 2πr

Where r is the radius of the circle

Area of Square:

The formula used to find the Area of a Square is given by

Area of Square = Side²

Here we know

The radius of the circle = 2m

As we know Area of a Circle = 2πr

=> Area of given circle = 2(3.14)2 = 12.56 cm²

Area of circle = 12.56 cm²

As we can see the circle is inscribed in a square

Then the Length of the side square = diameter of the circle

=> Length of side = 2 × Radius of circle = 2 × 2 cm = 4 cm

Length of side = 4 cm

As we know Area of the square = side²

=> Area of given square = 4 × 4 = 16 cm²

Now using the above value we will friend the area of the shaded part

Area of shaded part = Area of the square - Area of the circle

= 16 cm² - 12.56 cm² = 3.44 cm²

Therefore,

The Area of the shaded part is 3.44 cm²

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Related Questions

ING
DO
S
DO
Here's the revenue and expenses for the month. Calculate whether Mia had a profit or loss.
REVENUE
DOG FOOD
$3,500
CAT FOOD
$2,100
PET TREATS
$1,200
PET SUPPLIES $2,750
TOTAL
$9,550
JANUARY ACCOUNTS
FIXED EXPENSES
RENT
$2,000
SALARIES
$2,000
UTILITIES
$1,000
PRODUCT STOCK $4,000
TOTAL
$9,000
$ X
VARIABLE EXPENSES
NEWSPAPER AD $200
TOTAL
$200
ENTER MIA'S TOTAL PROFIT/LOSS FOR THE MONTH IN THE BOX BELOW, THEN CLICK SUBMIT.
SUBMIT

Answers

R-E-V
9500-9000-200
9550-9200

Profited

$350

Brainly pls

Let F be any nonconstant vector field of the form F = f (x) i + g (y) j + h (z) k and let G be any nonconservative vector field of the form G = f (y, z) i + g (x, z)j + h (x, y) k. Indicate whether the following statements are true or false by placing ''T'' or ''F'' to the left of the statement. 1. G is incompressible 2. F is irrotational 3. G is irrotational 4. F is incompressible

Answers

1. G is incompressible- True

2. F is irrotational- True

3. G is irrotational- False

4. F is incompressible- False

Divergence and Curl In Mathematics, divergence is a differential operator, which is applied to the 3D vector-valued function. Similarly, the curl is a vector operator which defines the infinitesimal circulation of a vector field in the 3D Euclidean space .

So if we calculate for F:

F has a divergence potentially

divF = df/dx + dg/fy + dh/dz

But curl(F )= 0(all cross derivatives df/dy df/dz, dg/dx etc = 0)

For G

G has zero divergence.

divG = df/dx + dg/fy + dh/dz = 0 + 0 + 0 = 0

But it may have a curl.

curl(G) = df/dy may be non-zero

df/dz, dg/dx etc may all be non-zero

Now, we also know that if the divergence is zero, the vector field is incompressible and if the curl is zero, the vector field is irrotational, that is,

div = 0 = incompressible and

curl = 0= irrotational

Thus,

1. G is incompressible- True

2. F is irrotational- True

3. G is irrotational- False

4. F is incompressible- False

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Find the sum of 3x + 2 and 8x

Answers

start by adding like terms (3x & 8x)

then just add the left over 2 to the equation to get
11x+2

PLEASE HELP AGAIN I STILL NEED TO GET THESE DONE

Answers

Answer:

........................

Create a slope intercept equation with given information (3,1) m =0

Answers

Answer:

y = x - 2

Step-by-step explanation:

Since m = 0, what we have so far is y=x+b

We have a point, which is (3,1)

Substitute the x and y with the x and y values in the coordinate point to solve for b (y-intercept).

1=3+b

1-3=3+b-3 undo the 3 by subtracting

-2 = b

y = x + -2 simplify

y = x - 2

It takes a bus 1 hour and 30 minutes to travel 42 miles.

Calculate the average speed of the bus in mph.
If your answer is a decimal, give it to 1 d.p.

Answers

28 mph is the average speed of the bus in mph.

What is speed?

The speed of a change in an object's location in any direction. The distance traveled relative to the time it took to travel that distance is how fast something is moving.

Meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph) are the most popular speed units (mph). The distance an object covers in a given amount of time is its speed. Speed = distance x time is the speed formula. The meter per second, also known as the m/s or ms-1, is the SI unit of velocity.

time = (1+ 1/2)hr = 3/2 hr = 1.5 hr

distance = 42 miles

average speed = total distance/total time

42/1.5 = 28 mph

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Elvia has a bag of snack mix that contains 5 cereal pieces, 4 peanuts, 5 pretzels, and 1 bagel chip. Suppose that she is equally likely to pick any individual object from the bag. What is the probability that Elvia will randomly pull a pretzel from the bag?

Answers

Answer: 33%

Step-by-step explanation: a third of the items in the bag are pretzels.

when an article is sold for 1200 there is 10% profit at what price should it be sold to gain 20%

Answers

Answer:

1309.10

Step-by-step explanation:

1200 = 110%

(1200/110)*120 = 1309.10

One of the legs of a right triangle measures 2 cm and the other leg measures 7 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

Hypotenuse = 7.3 cm

Step-by-step explanation:

We can find the hypotenuse using the Pythagorean Theorem, which is:

[tex]a^2+b^2=c^2[/tex], where a and b are the legs of the right triangle and c is the hypotenuse.

By plugging in 2 and 7 for a and b, we have:

[tex]2^2+7^2=c^2\\4+49=c^2\\53=c^2\\7.2801=7.3=c[/tex]

1/2 of the animals at the shelter are cats. If there are 318
animals at the shelter, how many are cats?

Answers

Answer:

159

Step-by-step explanation:

To find half of an amount, multiply the amount by 1/2 which is the same as dividing the amount by 2.

318 × 1/2 =

= 318 ÷ 2

159

-----------------------

2 | 318

- 2

------------

- 10

-------

- 18

------

318 × 1/2 = 318 ÷ 2 = 159

4-1 3/5 write as a mix number in simplest form

Answers

Answer:

Step-by-step explanation:

17/5

Answer:

2 and 2/5

Step-by-step explanation:

Which statement about Shawn’s line is true?
The slope of the line is 1/3

The y-intersect of the line is (4,0)

The y-interpect means Shawn ran 4 laps at week 0

The slope represents the average number of weeks it is Shawn to run laps

Answers

The slope represents the average number of weeks it is Shawn to run laps is true about Shawn's line.

Define slope.

The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio can also be written as a quotient ("rise over run"), which produces the same number for every two distinct points on the same line. A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.

Given,

Graph to show number of taps he is scheduled to run a week.

True statement is,

The slope represents the average number of weeks it is Shawn to run laps.

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A water tank initially contained 57 liters of water. It is being drained at a constant rate of 2.5 liters per minute.
How many minutes have passed m when the tank contains 35 liters? Round go the nearest tenth

Answers

Answer:

8.8 minutes

Step-by-step explanation:

first we figure out how many liters are being lost

57 - 35 = 22

then divide that by 2.5

22 / 2.5 = 8.8

8.8 minutes

An initial balance of $4,000 grows at a rate of 12.3% compounded quarterly. What is the balance after 5 years?

Answers

Answer:

7330.36

Step-by-step explanation:

A = P (1+i)^n

n = 4×5 = 20

i = 0.03075

12.3% / 4 = 3.075 × 1/100

= 0.03075

A = 4000 ( 1+ 0.03075 ) ^20

= 7330.36

The size of a population is modeled by the function P that satisfies the logistic differential equation dP/dt=(1/10)P - (1/5000)P^2 , where t is measured in months and P (0) = 50. What is the size of the population at the moment when the population is growing most rapidly? A. 50 B. 250 C.500 D. 2500

Answers

The correct answer is A.

500 is the size of the population at the moment of maximum growth.

Given data:

To find the size of the population at the moment when the population is growing most rapidly, we need to determine the maximum value of the derivative dP/dt.

Given the logistic differential equation [tex]\frac{dP}{dt} = (\frac{1}{10})P - (\frac{1}{5000})P^2[/tex], find the derivative by taking the derivative of each term separately:

[tex]\frac{dP}{dt} = (\frac{1}{10})P - (\frac{1}{5000})P^2[/tex]

To find the critical points where the derivative is zero or undefined, set dP/dt equal to zero:

[tex](\frac{1}{10})P - (\frac{1}{5000})P^2=0[/tex]

Simplifying:

[tex](\frac{1}{10})P= (\frac{1}{5000})P^2[/tex]

[tex]10P^2=5000P[/tex]

Dividing both sides by P and rearranging:

[tex]10P(P-500)=0[/tex]

This equation has two solutions: P = 0 and P = 500.

To determine which solution corresponds to the moment when the population is growing most rapidly, examine the second derivative. Taking the second derivative of the logistic differential equation, we have:

[tex]\frac{d^2P}{dt^2} = \frac{1}{10} - \frac{2}{5000}P[/tex]

Evaluating the second derivative at P = 0 and P = 500, we get:

[tex]\frac{d^2P}{dt^2}_{P=0} = \frac{1}{10} - \frac{2}{5000}(0)[/tex]

[tex]\frac{d^2P}{dt^2}_{P=0}= \frac{1}{10} > 0[/tex]

[tex]\frac{d^2P}{dt^2}_{P=500} = \frac{1}{10} - \frac{2}{5000}(500)[/tex]

[tex]\frac{d^2P}{dt^2}_{P=0}= -\frac{1}{10} < 0[/tex]

Since the second derivative is positive at P = 0 and negative at P = 500, the moment when the population is growing most rapidly occurs at P = 500.

Hence, the size of the population at the moment when the population is growing most rapidly is 500.

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Enter numbers to evaluate ‐6−13. ‐6−13= ‐6 + = Enter numbers to evaluate ‐6−(‐13). ‐6−(‐13)= ‐6 + =

Answers

The given expression evaluates to -19.

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have the following expression -

- 6 - 13

The given expression evaluates to -

x = - 6 - 13

x = - 19

Therefore, the given expression evaluates to -19.

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Which of the following is true?

Triangle B C D. The exterior angle at B is labeled 1 and the interior angle is labeled 2. Angle C has measure 70 degrees. The exterior angle at D has measure 130 degrees.
A. m∠BCD − m∠DBC = 10°
B. m∠BCD − m∠DBC = 20°
C. m∠BCD − m∠DBC = 60°
D. m∠BCD − m∠DBC = 80°

Answers

Answer:

answer :J LOOK THE DIAGRAM CAREFULLY AND UNDERSTAND

Answer:

A <c - <b = 10

Step-by-step explanation:

4x - 8y = -4
-2x + 8y = -2
Solve by elimination

Answers

Answer:

X=1 Y=0

Step-by-step explanation:

Multiply the second equation (-2x + 8y = -2) by 2 in order to get -4x+16y=-4.
Using this equation, you can eliminate the x

4x - 8y = -4
-4x+16y=-4.
=
8y=0
y = 0

Now, knowing that y=0, plug y into the second equation:

-2x+8(0)=-2
simplify
-2x=-2
lastly, divide both sides by -2
x=1

what IS 1/2 as a percent help pls SOS

Answers

Answer:

50%

Step-by-step explanation:

numerator divided by denominator

1 divided by 2 = .5

.5 x 100 = 50%

7. Solve the proportion.
2/3=a/15
8. Solve the proportion.
4/7=44/m

Answers

Answer:

a=10

m=28

Step-by-step explanation:

2/3= 0.666666666666666

a/15=??????

try all numbers divided by 15 untill you found 0.666666666666666 which is =10/15

4/7=0.571428571428571

44/m=???????

do the same as the first one

it will be 44/28=0.571428571428571

Help me please
dont even need a full explanation just answer

Answers

The correct option C: -4 ≤ x ≤ -2, are the intervals in which the graph is constant.

Explain the term constant function?An algebraic expression known as a linear expression has terms that are either constants or variables raised to first power. Alternatively put, no of the exponents could be greater than 1.A linear function with a slope of 0 is known as a constant function. The function's value will remain constant regardless of the value you select for "x." A constant function has a graph that is a horizontal line and through y-intercept, "b." Example A's graph is indeed a horizontal line that passes through y = 4 since b is equal to 4.

So, from the shown graph, the horizontal line have the constant function which lies in the intervals -4 ≤ x ≤ -2.

Thus, in the intervals -4 ≤ x ≤ -2, the function is constant.

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Maria is making an apple pie. She needs 1/4 cup of sugar for each pie Maria has 2 1/2 cups of sugar how many pies can she make

Answers

The number of cups she can make is 2 cups

How to determine the number of cups she can make

From the question, we have the following parameters that can be used in our computation:

Cups of sugar needed = 1/4

Cups of sugar available = 1/2

Assume there exist a proportional relationship between the cups

The number of cups she needs can be calculated using the following equation

number of cups = (1/2)/(1/4)

Evaluate the quotient

number of cups = 2

Hence, the cups is 2 cups

Answers

1000 - 180x represents the remaining number of samples after x weeks.

What is exponents?

Exponentiation could be a calculation, written as bⁿ, involving 2 numbers, the bottom b and also the exponent or power n, and pronounced as "b to the n".

Main body:

Consider what is actually happening in the question.

You begin with 1000 samples, after it decreases to

=1000-18% of 1000

= 820

You can see the pattern shows that the number of samples decreases 18% every week ,1000-18% of 1000 - 18% 0f 1000.

= 1000 - 180x where x denotes number of weeks.

Hence 1000 - 180x represents the remaining number of samples after x weeks.

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determine the equation of the line of the line of best fit from the data in the table on the right. x 4 5 6 7 10 y = 14 14 17 19 26

Answers

The equation for the line of best fit from the given data, will be y = 2.12 x + 4.42.

How to find the line of best fit ?

The line of best fit would be the line that has an equal number of points above it, as the number of points beneath it.

Going by this definition, two points that would be on the line are (6, 17) and ( 7, 19 ).

The slope of this line would be:

= ( Y2 - Y1 ) / ( X 2 - X1)

= ( 19 - 17 ) / (7 - 6 )

= 2.12

The y intercept would be:

y = mx + c

19 = 2.12 (7 ) + c

c = 4.42

The equation of the line of best fit is then :
y = 2.12 x + 4.42

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2. If AJKL AQRS, find each missing value.
R
J
3x-1
58°
32
(4z + 3)°
K
L
27
Q
y + 10
87⁰
14
S
X=
Y=
Z=
4

Answers

Answer:gat big

Step-by-step explanation:

“According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answer to three decimal places, for example: 0.123]”

Answers

A probability is a numerical representation of the likelihood or chance that a specific event will take place.

How to find the probabilities?

12% of peanut M&M’s = brown

15% = yellow

12% = red

23% = blue

23% = orange

15% = green

Here, Probability of an event is represented as P

a) P(not green) = 100% - 15%

= 85%

= 0.85

b) P(yellow or red) = 15% + 12%

= 27%

= 0.27

c) P(three blue) = 0.23*0.23 *0.23

= 0.012 (rounded to 3 decimal places)

d) P(not green if you choose 6 )= [tex](0.85)^{6}[/tex]

= 0. 377

e) P(at least 1 green if you choose 6 ) = 1 - 0.377

= 0.623

What is probability?Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, probability has been introduced in mathematics. The degree to which something is likely to happen is essentially the definition of probability. This is the fundamental theory of probability, which is also applied to the probability distribution, and from which you will discover the likelihood of results for a random experiment. We must first determine the total number of outcomes in order to calculate the probability that a single event will occur.

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select the spreadsheet formula that would correctly calculate the average (mean) of the following values: 25, 50, and 75.

Answers

The spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

What is an average?

An average is a single number taken as representative of a list of numbers, generally the sum of the numbers divided by how many numbers are in the list (the arithmetic mean).

What is the formula to calculate the average?

The formula to calculate the average of given numbers is equal to the sum of all the values divided by the total number of values. Average = Sum of Values / Number of Values.

So, in this case:

Values: 25, 50, 75

Number of Values: 3

Thus, the average:

Sum of Values / Number of Values = (25 + 50 + 75) / 3 = 50

Hence, the spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

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Write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent variable.)
Vertex: (2, 3); point: (0, 2)

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=2\\ k=3 \end{cases}\implies y=a(x-2)^2 +3\hspace{5em}\textit{we also know that} \begin{cases} x=0\\ y=2 \end{cases} \\\\\\ 2=a(0-2)^2 + 3\implies -1=a(-2)^2\implies -1=4a\implies \cfrac{-1}{4}=a \\\\\\ ~\hfill {\Large \begin{array}{llll} y=-\cfrac{1}{4}(x-2)^2 + 3 \end{array}} ~\hfill[/tex]

A store bought a sofa wholesale for 200 and marked it up 15% when the sofa did int sell they reduced the price 15% show why the current price is not 200

Answers

Answer:

The current price of sofa is $195.50.

Step by Step explanation:Cost price of the sofa for the store = $200

Now, the store marked it up 15%.

So, marked price of sofa = $200 + 15% of $200

=200 + 30

=$230

Now, it is given that the sofa could not sell at this price. So, the store reduces its price by 15% now.

So, current price of sofa = $230 - 15% of $230

= 230 - 34.5

=$195.5

So, the current price of the sofa is $195.50.

An isosceles triangle has an angle that measures 140°. What measures are possible for
the other two angles? Choose all that apply.
Recommendations
15⁰
70°
45°
20•

Answers

The possible value of other two angles will be 20 degree.

What are the types of triangle?

Basically, there are six different types of triangles in terms of lengths and measurements of triangle lines or angles. The sum of all interior angles of a triangle is always 180 degrees. This is called the angular summation of the triangle. Depending on the length of the sides, triangles can be divided into three types:

scale

Isosceles

equilateral

It is given that an isosceles triangle has an angle that measures 140°

We know that two sides of isosceles triangle are equal and by the property of triangle we know that angle opposite to equal sides are equal therefore remaning two angles of isosceles triangle will be equal.

Let the angles be x

By angle sum property of triangle

x + x + 140 = 180

2x = 180 - 140

2x = 40

x = 40/2 = 20

Therefore, the possible value of other two angles will be 20 degree.

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