A chord of the circle with centre O and radius 10 cm, subtends an angle
of 120° at the centre of the circle. Find the area of the major sector and
the area of minor segment.
(Use = 3.14 √3 = 1.732

(i) 2.5 cm, 6.5 cm, 6 cm and (iii) 1.5 cm, 2cm, 2.5 cm can be the sides of a right triangle.

To check if the given measurements are possible sides of a right triangle, it must follow the Pythagorean theorem, where the square of the hypotenuse is equal to the sum of the squares of the legs.

c² = a² + b²

where c is the hypotenuse(longest side)

and a and b are the two other sides

(i) 2.5 cm, 6.5 cm, 6 cm

6.5² = 2.5² + 6²

42.25 = 6.25 + 36

42.25 = 42.25

(ii) 2 cm, 2 cm, 5 cm

5² = 2² + 2²

25 = 4 + 4

25 ≠ 8

(iii) 1.5 cm, 2cm, 2.5 cm

2.5² = 1.5² + 2²

6.25 = 2.25 + 4

6.25 = 6.25

Hence, (i) 2.5 cm, 6.5 cm, 6 cm and (iii) 1.5 cm, 2cm, 2.5 cm can be the sides of a right triangle.

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Answer: The range is 4.9.

Step-by-step explanation: The range of a set of data is the difference between the largest and smallest values. In this stem-and-leaf plot, the smallest value is 0.3, and the largest value is 4.9.

Therefore, the range is 4.9 - 0.3 = 4.6 which is 4.9 (approx)

So the answer is A. 4.9

The value of variable d is 1120

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

D= wt²

Where W = 70 and T = 4

Substitute the known values in the above equation, so, we have the following representation

D = 70 * 4²

Evaluate the exponent

D = 70 * 16

Evaluate the products

D = 1120

Hence, the solution is 1120

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The solution to the given logarithmic equation is log32

The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which b must be raised in order to obtain a number x is its logarithm to the base b.

One of the law of logarithm is expressed as:

bloga = log a^b

Applying this law to the given question;

5 log(2) =log2⁵

Since 2⁵ = 32, hence the given expression is equivalent to log32.

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Mi use structure ji builds a right rectangular prism with 14-centimeter cubes in the bottom layer with no gaps or overlaps. if there are 8 layers,  The volume of the right rectangular prism is 14 x 14 x 8 = 1,536 cm3.

To get this answer, I first determined the number of cubes in the bottom layer. Since the bottom layer contains 14 cubes, the total length of the base of the prism is 14 cm. The height of the prism is 8 layers, so the total height of the prism is 8 cm. To calculate the volume of a right rectangular prism, you need the base length, the width, and the height. Since all three of these measurements are given, the volume can be calculated by multiplying the base length (14 cm) by the width (14 cm) by the height (8 cm). The result is 1,536 cm3.

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mi use structure ji builds a right rectangular prism with 14-centimeter cubes in the bottom layer with no gaps or overlaps. if there are 8 layers, what is the volume of the right rectangular prism?

21.9 is the answer to 131.4/6

Answer:

21.9

Step-by-step explanation:

learn how to use a calculator.

The missing statement in the given proof is ΔFDC ≅ Δ FAB, reason SAS. Option C is correct.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

here,
As given in the quesiton,
Consider the triangle formed by the given construction,
ΔFDC and Δ FAB
AB║CD
∠FAB = ∠FCD
∠FBA = ∠FDC

So,  ΔFDC ≅ Δ FAB, by SAS congruency.

Thus, the missing statement in the given proof is ΔFDC ≅ Δ FAB, reason SAS. Option C is correct.

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Answer:

3.5 cm long

Step-by-step explanation:

AB*1/2=7*1/2=3.5

Answer:

|AB'| = 3.5 cm

Step-by-step explanation:

Given:

To dilate the line segment by a scale factor r, multiply the original length of the line segment by the given scale factor:

[tex]\begin{aligned}\implies \sf |AB'|&=\sf |AB| \times r\\\\&=7 \times \dfrac{1}{2}\\\\&=\dfrac{7 \times 1}{2}\\\\&=\dfrac{7}{2}\\\\&=3.5\; \sf cm\end{aligned}[/tex]

Therefore , the solution of the given problem of equation comes out to be y" = -1/4 *√x * ln(x) + 1/2√x  -1/2 * √x .

A mathematical equation looks to be a formula that joins two statements and indicates equality when it uses the equals symbol (=). In algebra, an equation is a statement of fact that demonstrates the equality of different mathematical variables . For instance, the result obd + 6 = 12 has an equal sign between quantities ptdc + 6 and 12. There is a mathematical formula that describes the connection between the syllables on either side of each letter. The emblem and the statement are frequently the same.

Here,

y = √x ln(x)

To find the y'

=> dy/dx = d(√x ln(x)) /dx

=> dy/dx = 1/2√x * ln(x) + 1/x *√x

=> dy/dx =  1/2√x * ln(x) + 1/√x

To find the value of y ''

=> dy'/dx =  d(1/2√x * ln(x) + 1/√x ) / dx

=>  dy'/dx  =  1/2 * (-1/2* √x * ln(x) + 1/√x )  -1/2 * √x

=>dy'/dx = -1/4 *√x * ln(x) + 1/2√x  -1/2 * √x

Therefore , the solution of the given problem of equation comes out to be y" = -1/4 *√x * ln(x) + 1/2√x  -1/2 * √x .

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Answer: 26.8

Step-by-step explanation:

[tex]\frac{8.2}{m}=\tan 17^{\circ}\\\\\frac{m}{8.2}=\frac{1}{\tan 17^{\circ}}\\\\m=\frac{8.2}{\tan 17^{\circ}}\\\\m \approx 26.8[/tex]

The columns of the matrix A span R2.

In order to determine if the columns of the matrix A span R2, we need to check if the columns of A can be used to generate all possible linear combinations of the form a1v1 + a2v2, where a1 and a2 are scalars and v1 and v2 are the columns of A.

A = [2 1]

[0 1]

[-3 -1]

The columns of A are [2, 0, -3] and [1, 1, -1]. To check if these columns span R2, we need to see if we can create any vector in R2 by taking linear combinations of the columns. We can see that by taking linear combinations of the columns, we can create any vector of the form (a, b) in R2.

For example, by taking a = 2, b = 1, we can generate the vector (2, 1) by taking

a[2, 0, -3] + b[1, 1]

And by taking a = 3, b = -1, we can generate the vector (3, -1) by taking

a[2,0,-3] + b[1,1,-1].

So the answer would be: The columns of the matrix A span R2.

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As per the unitary method, the number of meatballs made using the the remaining turkey is 29 meatballs

The term unitary method is known as the way to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Here we have know that Amy has 4 pounds of ground turkey to make meatballs

And here we also know that she uses 3/8 pound per meatball to make 9 meatballs

Then in order to find the remaining we have to subtract 3/8 from 4

Then we get,

=> 4 - 3/8

=> 29/8

Therefore, here we have identified that there are 21/8 pounds of ground turkey left

As here we have given that the number of 1/8 pound meatball that can be produced from 21/8 pounds of ground turkey can be calculated as follows,

=> 29/8 ÷ 1/8

When we simplify this one then we get,

=> 29

So, Amy can make 29 meatballs

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Despite appearing to be 6 cm long on a scale drawing, puppies are actually 54 cm long.

Distance between two sites can be determined by a measurement called length. Aside from height and width, it also determines how long an object is. In math classes, kids will study about length to assist them in solving real-world problems both as a part of their education and outside of it. the largest or longest dimension of a thing; a measurable length or width. Dimensions: 10 ft. Table of the Metric System, Weights and Measures Table: the characteristic of length. The definition of length is the distance or measurement between two points. In other terms, the largest two or highest three dimensions of a geometric shape or item.

given

Puppy drawn to scale measures 6 cm in length.

due to the scale's 1:9 cm

Utilize the ratio approach to determine the puppy's true length.

1 = 6 cm

9 = 6×9 = 54 cm

Despite appearing to be 6 cm long on a scale drawing, puppies are actually 54 cm long.

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Answer:

2x + 1

Step-by-step explanation:

To find f(g(x)), we need to substitute g(x) for x in the function f(x) = 2x + 7.

so f(g(x)) = 2(x - 3) + 7 = 2x - 6 + 7 = 2x + 1

So the composition of function f(g(x)) is f(g(x)) = 2x + 1.

The price per pound of beef when it was equal to the price of chicken is $3.35 per pound.

The following linear equations represent the costs of beef and chicken:

Beef price, B:

B = 2.35 + 0.25x

Price of chicken, C :

C = 1.75 + 0.40x

Where x in both equations denotes the number of weeks since July 1 of the previous summer:

B = 2.35 + 0.25x

Price of chicken, C :

C = 1.75 + 0.40x

Where x in both equations represents x weeks after July 1 of last summer

Firstly:

We identify the week when the cost of beef and chicken is equal:

Beef = Chicken

2.35 + 0.25x = 1.75 + 0.40x

We solve for x

2.35 - 1.75 = 0.40x - 0.25x

0.60 = 0.15x

x = 0.60 / 0.15

x = 4

Therefore, poultry and beef had the same price four weeks after July 1 of last summer.

B = 2.35 + 0.25(4)

B = 2.35 + 1

B = 3.35

When the price of chicken and beef were equal, the price per pound of meat was $3.35.

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Answer

22.3 is correct i believe :)

Step-by-step explanation:

Four fair six-sided dice are rolled. The probability that at least two dice show a 3 is 1/36.

In the given question, four fair six-sided dice are rolled.

We have to find the probability that at least two dice show 3.

There are four dice and each have 6 numbers to come.

So total number of cases = 6×6×6×6

Total number of cases = 1296

At least two dice show 3. So

The favorable outcome = 6 × 5

The favorable outcome = 30

The possible outcome = aabc, abac, abca, baac, baca, bcaa = 6

Total of outcomes = 30 + 6

Total of outcomes = 36

The probability that at least two dice show a 3 = 36/1296

The probability that at least two dice show a 3 = 1/36

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(a) The independent variable is age (a) and the dependent variable is population (P).

(b) P(20) = 6.38 million. This means that 6.38 million Americans were 20 years or older in 2015.

(c) P(0) = 363.804 million. This means that 363.804 million Americans were 0 years or older in 2015.

From the given graph we can observe that the blue figure is larger in size than the black figure. Hence, the figure is enlargement of the original figure.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. The transformation, or f: X X, is the name given to the function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation. A function can be moved in one way or another using translation, rotation, reflection, and dilation. A function can also be scaled using rotation around a point.

From the given graph we can observe that the blue figure is larger in size than the black figure. Hence, the figure is enlargement of the original figure.

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Answer:

We can use the trigonometric function sine to calculate the length of AB in a right-angled triangle.

The sine function relates the ratio of the side opposite an angle (in this case, AB) to the hypotenuse (AC) with the angle in question (in this case, angle C):

sin(C) = AB/AC

In this case, we know that angle C is 29 degrees and the hypotenuse AC is 5cm, so we can substitute these values into the equation to find AB:

sin(29) = AB/5

To solve for AB, we can multiply both sides of the equation by 5:

AB = 5sin(29)

AB=2.42cm

The length of the rope in the question is; 277.5 ft

The angle of depression is defined as the angle between the horizontal line of sight and the line of sight down to an object. For example, if you were standing on top of a hill or a building, and looking down at an object, you could measure the angle of depression.

The rope length can be calculated using the trigonometric ratio which is;

167/x = sin 37

x = 167/sin 37

x = 167/0.6018

x = 277.5 ft

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Answer:

A

Step-by-step explanation:

A run-on sentence occurs when independent clauses are not joined properly.

As a result, the rectangle's sides measure 5x = 5(6.375) = 31.875 inches and 3x+5 = 3(6.375) + 5 = 20.125 inches, respectively.

We may utilize the knowledge that the rectangle's perimeter is 112 and that its sides are 5x and 3x+5 to determine the value of x and the lengths of each side. We can put up the following equation because the perimeter of a rectangle is equal to the sum of its four sides:

2(5x) + 2(3x + 5) = 112

We must simplify and account for x in order to solve for x. We'll start by allocating the two on the left side of the equation:

10x + 6x + 10 = 112

We'll then mix similar terms:

16x + 10 = 112

To get x alone, we will now deduct 10 from both sides, giving us 16x = 102.

Next, multiply both sides by 16 times to get 6.375.

Therefore as a result, the rectangle's sides measure 5x = 5(6.375) = 31.875 inches and 3x+5 = 3(6.375) + 5 = 20.125 inches, respectively.

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The solution for given linear equation are x=-99 and x=45 i.e. C.

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Given linear equation is |1/3×+9|-3=21

so, -1/3x-12=21  --->1

and 1/3x+6=21 --> 2

From 1

1/3x=-33

x=-99

From 2

1/3x=15

x=45

Hence,

          The solution for given linear equation are x=-99 and x=45.

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Answer:

I hope my answer is helpful!

"안녕하세요" is a formal and polite way of saying "hello" in Korean. It is commonly used as a greeting, both when meeting someone for the first time and when meeting someone again after a period of time. The literal translation of 안녕하세요 is "Are you at peace?"

Type of communication developed by teaching a doctor who is also a collaborator to utilize patient-centered communication or a non-patient-centered communication style.

As the researchers are interested in the effect of type of communication on level of mistrust; therefore, type of communication is the independent variable. To establish a causal relationship between the two variables, the independent variable needs to be manipulated, as described in C, by training the doctor to adopt different communication styles.

Here,

Communication style produced by training a doctor who is also a collaborator to use patient-centered communication or a non-patient-centered communication style.

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The probability that at least 4 accounting majors are on the committee is P(at least 4 accounting majors) = 1 - P(less than 4 accounting majors)

We can use the complement rule to solve this problem. The complement rule states that the probability of an event happening plus the probability of the event not happening is equal to 1.

In this case, we can find the probability that less than 4 accounting majors are on the committee and then subtract that from 1 to find the probability that at least 4 accounting majors are on the committee.

There are 6 accounting majors and 9 finance majors, for a total of 15 students.

To find the probability that fewer than 4 accounting majors are on the committee, we can use the binomial probability formula:

P(k) = (combination(8,k)) [tex]\times (6/15)^k \times (9/15)^{(8-k)[/tex]

where k is the number of accounting majors on the committee.

To find the probability that fewer than 4 accounting majors are on the committee, we need to sum the probabilities for k = 0, 1, 2, and 3.

P(less than 4 accounting majors) = P(0) + P(1) + P(2) + P(3)

Finally, we can use the complement rule to find the probability that at least 4 accounting majors are on the committee:

P(at least 4 accounting majors) = 1 - P(less than 4 accounting majors)

You can calculate the exact probability using the binomial coefficient and the binomial probability formula and then subtract that from 1 to get the final probability.

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Answer:

12y would be the answer

Step-by-step explanation:

To simplify, you first need to combine like terms

6y + 6y =12y

-10x+11x=x

x+12y+8 would be the simplified result

Answer:

x+12y+8

Step-by-step explanation:

8+6y-10x+6y+11x

8+6y+6y-10x+11x.......................collecting like term

8+12y+x = x+12y+8

Answer:

1/5 of a minute they are equal.

The cost would be $18

Step-by-step explanation:

Something does not look right.  You would not have 3 variables.

Set the two equations equal to each other and solve for m.  I think that the variables t may be an error.

30m + 12 = 15m + 15  Subtract 15 m from both sides

30m -15 m + 12 = 15m -15m + 15

15m + 12 = 15  Subtract 12 from both sides

15m + 12 - 12 = 15 - 12

15m = 3  Divide both sides by 15

[tex]\frac{15m}{15}[/tex] = [tex]\frac{3}{15}[/tex]

m = [tex]\frac{1}{5}[/tex]

Cost:

y = 30m + 12

y = 30(1/5) + 12

y = 18

y = 15m + 15

y = 15(1/5) + 15

y = 3 + 15

y = 18