A circle is placed in a square with a side length of 18cm, as shown below. Find the area of the shaded region. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.

Answer: Your answer is 23.5in²

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The correct statement regarding the conclusion of the test hypothesis is given as follows:

The student should fail to reject the null hypothesis since 0.296 > 0.05. There is insufficient evidence that the true proportion of times a dime will land tails up is different than a penny.

Depends on if the p-value is less or more than the significance level:

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The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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Answer:  

               「0.8   0   -2

                    0    1.2   3

                    0     0     1 」

Step-by-step explanation:

The \(3\times 3\) matrix will be "\(\left[\begin{array}{ccc}0.3&0&-1.8\\0&1.3&3.9\\0&0&1\end{array}\right]\)".

According to the question,

The \(3\times 3\) with homogenous coordinates is:

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Translation from (0, 0) to (a, b) will be:

\(T = \left[\begin{array}{ccc}1&0&a\\0&1&b\\0&0&1\end{array}\right]\)

Here,

Translation by (-5,4)

\(T = \left[\begin{array}{ccc}1&0&-6\\0&1&3\\0&0&1\end{array}\right]\)

Now,

i.e.,

\(S = \left[\begin{array}{ccc}0.3&0&0\\0&1.3&0\\0&0&1\end{array}\right]\)

then,

The \(3\times 3\) matrix will be:

→ \(A = ST\)

      \(= \left[\begin{array}{ccc}0.3&0&0\\0&1.3&0\\0&0&1\end{array}\right] \ \left[\begin{array}{ccc}1&0&-6\\0&1&3\\0&0&1\end{array}\right]\)

      \(= \left[\begin{array}{ccc}0.3&0&-0.3\times 6\\0&1.3&1.3\times 3\\0&0&1\times 1\end{array}\right]\)

      \(= \left[\begin{array}{ccc}0.3&0&-1.8\\0&1.3&3.9\\0&0&1\end{array}\right]\)

Thus the above answer is correct.

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Answer:

In a week we have 7 days.

On the first day, Clare runs 4 miles.

On the other six days, she runs the same distance, let's call it D.

In total, she runs 22 miles.

Then:

4mi + 6*D = 22 mi

6*D = 22mi - 4mi = 18mi

D = 18mi/6 = 3mi.

Then the other 6 days, Clare runs 3 miles, then the tape diagram would look something like:

\(\left[\begin{array}{cccccc}Monday&-&-&-&-\\Tuesday&-&-&-\\Wednesday&-&-&-\\Thursday&-&-&-\\Friday&-&-&-\\Saturday&-&-&-\\Sunday&-&-&-\end{array}\right]\)

Where each "-" represents one mile.

Answer:

3 miles

Step-by-step explanation:

Answer:

\(\frac{5}{48}\)

Step-by-step explanation:

Answer:

5/48

Step-by-step explanation:

First multiply the numerator. 1 × 5 = 5. Then, multiply the denominator. 8 × 6 = 48. The you got your answer already. 5/48 :)

Answer:

10

Step-by-step explanation:

use permutations with repetitions formula

Answer:

b

Step-by-step explanation:

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective

A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees

From the triangle, Using the trigonometric ratio of sine

Sin C = opposite/Hypothenuse

Sin30 = 5/H

Making h the subject of the relation we have

h= 5/sin30

h=5/0.5

Therefore the value of h=10 units

To find the third side use Pythagoras theorem

10² = 5²+p²

100-25 = p²

75 = p²

Taking the square of both sides

p=√75

p=8.7 units

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Answer:

B. 8n+3=19

Step-by-step explanation:

Three more- it's going to be addition (+3)

8 times a number (8n)

equal to 19 (=19)

8n+3=19

Since the score recorded at the end of the first round is 6, this score could represent the following: B. The difference between John's score and Kamira's score.

In Geometry and Mathematics, a number line refers to a type of graph that is usually composed of a graduated straight line, which typically comprises both negative and positive numerical values (numbers) that are located at equal intervals along its length.

Assuming the variable J represent John's score and the variable K represent Kamira's score on the number line. In this scenario and exercise, we would determine the solution for the given scenario by solving as follows;

J + K = 1 + 7 = 8

K - J = 7 - 1 = 6

|K - J| = |7 - 1| = |6| = -6

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: 7725.5775

Step-by-step explanation:

d=27

r=d/2=27/2=13.5

the volume of the spherical balloon= 3.14*r^3

                                                       = 3.14*(13.5)^3

                                                       = 7725.5775

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Answer:

Step-by-step explanation:

hello :

cos²θ +sin²θ = 1 and cosθ =4/5

(4/5)² + sin²θ = 1 so : sin²θ = 1 - 16/25

sin²θ = 9/25 = (3/5)²

sinθ = 3/5 or sinθ = - 3/5 because : (3/5)²= (- 3/5)²= 9/25

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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5789 he has that much holp this helps

Answer: -7

Step-by-step explanation:

Answer:

D.) 30 packets

When Seema used compatible numbers to estimate the product of (–25.31)(9.61), her estimate is A. -250.

From the information, it should be noted that Seema used compatible numbers to estimate the product of (–25.31)(9.61).

It should be noted that -25.31 when rounded will be -25.

It should be noted that 9.61 when rounded will be 10.

Therefore, the multiplication will be:

= -25 × 10

= -250.

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Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate?

-250

-240

240

250

The independent variable in these equations based on how they are written is x, since y is a function of x here so y depends on the value of x, while x can be changed freely.

So, for each of these questions, plug in the given value of the independent variable for x.

Independent variable equal to 10: 0.1*10 + 5 = 6

Independent variable equal to 50: 0.1*50 + 5 = 10

Independent variable equal to 120: 0.1*120 + 5 = 17

The required rate of return for the stock with a beta of 0.5 is 7.5% and for the stock with a beta of 2 is 15%.

Rate of return is the amount of profit or loss earned on an investment over a certain period of time, expressed as a percentage of the initial investment or total asset value.

A stock is a type of security that represents ownership in a company. Investors buy stocks to become shareholders and share in the company's profits and losses.

According to the given information:

The Capital Asset Pricing Model (CAPM) is expressed as:

R = Rf + beta*(Rm - Rf)

Where:

R = Required rate of return

Rf = Risk-free rate of return

beta = Beta coefficient (systematic risk)

Rm = Expected market return

Using the given values, we can compute the required rate of return for each stock:

Stock with beta of 0.5:

R = 5% + 0.5*(10% - 5%)

R = 7.5%

Stock with beta of 2:

R = 5% + 2*(10% - 5%)

R = 15%

Therefore, the required rate of return for the stock with beta of 0.5 is 7.5%, and the required rate of return for the stock with beta of 2 is 15%.

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0.5236 meters is the length of the given arc.

The formula for the length of an arc is given by:

Arc Length = (θ/360) * 2πr

Where:

In this case, the central angle is 60 degrees and the radius is 1/2 meters.

Plugging the values into the formula, we have:

Arc Length = (60/360) * 2π(1/2)

Arc Length = (1/6) * π

Arc Length = π/6

Therefore, the length of the arc that subtends an angle of 60 degrees at the center of a circle with a radius of 1/2 meters is π/6 meters or approximately 0.5236 meters.

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The value of line RS is 23

From the diagram shown, we have that line PS, line PQ, line QR and line RS form a square.

Note that the sides of a square are equal to each other.

The relationship is represented as;

Line PS = Line PQ = Line QR = Line RS

We have that;

Substitute the expressions

6x - 5 = 9x - 4

Now, collect like terms

6x - 9x = - 4 - 5

Subtract the like terms

-3x = -9

Make 'x' the subject of formula

-3x/-3 = -9/-3

x = 3

Then, RS = 9x - 4 = 9(3) - 4 = 27 - 2 = 23

Hence, the value is 23

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from 32 seconds to 31 seconds decrease in 1 second, therefore

32 seconds -----> 100%

1 second ---------> x

answer: the percent decrease in 3.125%

Answer:

Step-by-step explanation:

Probably "1+1=window" was discovered by some cheeky primary school student, and then it spread without attribution. We will never know for sure who originally came up with that.

Answer:

54

Step-by-step explanation:

In a stem and leaf plot, the stems are typically increments of ten. Therefore, 5, or 50, is the largest stem. Now, in that row, we have to find the biggest leaf. Luckily for us, in stem and leaf plots, the leaves are organized in a least-to-greatest order. We go down to the end of the row and boom! 4. Put the stem and leaf together and we have 54.

9514 1404 393

Answer:

  12 units

Step-by-step explanation:

Reflection over two lines x units apart is equivalent to a translation of 2x units. Since the given lines are 6 units apart, ...

  the equivalent translation is of 12 units.

___

Example:

Lines at x=0 and x=6. Point (x, 0). After reflection over x=0, the point is located at (2·0 -(x), 0) = (-x, 0). After reflection of that over x=6, the point is located at (2·6 -(-x), 0) = (12 +x, 0). That is, 12 has been added to the x-coordinate, meaning the point was translated 12 units. (The translation is in the direction the second line is from the first.)

The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

Answer:

all real numbers

only the range value is with a minimum of -1 and a maximum of 1 unless there's a vertical shift.

The domain of the sine and cosine functions are all real numbers

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the domain of the function be represented as D

Now , the functions are

f ( x ) = sin x

g ( x ) = cos x

where the trigonometric functions have the range as [ -1 , 1 ]

And , sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle

Therefore , the value of D is all real numbers

Hence , the domain is all real numbers

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