Line AL is a perpendicular bisector of segment CM. Which of the following are true

Answer:

\(\huge\boxed{\dfrac{5}{12}x-5}\)

Step-by-step explanation:

\(\left(\dfrac{3}{4}x-1\right)-\left(\dfrac{1}{3}x+4\right)=\dfrac{3}{4}x-1-\dfrac{1}{3}x-4=\left(\dfrac{3}{4}x-\dfrac{1}{3}x\right)+(-1-4)\\\\=\left(\dfrac{3\cdot3}{4\cdot3}x-\dfrac{1\cdot4}{3\cdot4}x\right)+(-5)=\left(\dfrac{9}{12}x-\dfrac{4}{12}x\right)-5=\dfrac{9-4}{12}x-5\\\\=\dfrac{5}{12}x-5\)

Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.

On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y

A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.

The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:

x = 1.49y

-1.49y + x = 0

-149y + 100x = 0

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The linear equation in the required form is: x - 1.49y = 0

What is linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:

y = mx + b

Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."

Using this information, we can write:

x = 1.49y

To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.

Subtracting 1.49y from both sides, we get:

x - 1.49y = 0

So the linear equation in the required form is:

x - 1.49y = 0

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Answer:

605

Step-by-step explanation:

11x55=605

Answer:

where is ur question?

Step-by-step explanation:

I cant help u bc u have no question

Answer:

Whats you question?

Step-by-step explanation:

Answer:

84,327.50 cubic meters

Step-by-step explanation:

Volume of a cone 1/3(nr^2h)

n = 3.14

r = radius  

h = height

1/3 x 3.14 x 25^2 x 129 = 84,327.50 cubic meters

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Answer:

n = 6

m = 6√3

Step-by-step explanation:

Reference angle = 30°

Opposite = n

Adjacent = m

Hypotenuse = 12

✔️To find n, apply the trigonometric ratio, SOH:

Sin 30° = Opp/Hyp

Sin 30° = n/12

n = Sin 30° × 12

n = ½ × 12 = 6

✔️To find m, apply the trigonometric ratio, CAH:

Cos 30° = Adj/Hyp

Cos 30° = m/12

m = Cos 30° × 12

m = √3/2 × 12 (cos 30 = √3/2)

m = √3 × 6

m = 6√3

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer: F

Step-by-step explanation:

(i) The interval is meant to have infinitesimal width because the limit is approaching 0.

(ii) This gives the derivative at \((x, f(x))\), which is the same as the slope of the tangent line.

(iii) False, this deals with the tangent line, not the secant.

(iv) True by definition.

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

multiply tge length × width x height fir each and the least to greatest is D

Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

A) The cross-sectional area of the cylinder is 706.9 square centimeters (cm²).

B) The volume of the cylinder is 10007.6 cubic centimeters (cm³).

A) To calculate the cross-sectional area of the cylinder, we need to find the area of the circular base. The formula to calculate the area of a circle is A = πr², where A represents the area and r represents the radius.

Given that the radius of the cylinder is 15 cm, we can substitute this value into the formula: A = π × 15². Using the approximation of π as 3.14, the calculation becomes A = 3.14 × 15² = 3.14 × 225 = 706.5 cm². Rounded to one decimal place, the cross-sectional area of the cylinder is 706.9 cm².

B) To calculate the volume of the cylinder, we need to multiply the cross-sectional area by the length. The formula for calculating the volume of a cylinder is V = A × h, where V represents the volume, A represents the cross-sectional area, and h represents the height or length.

Using the previously calculated cross-sectional area of 706.9 cm² and the given length of 29 cm, we can substitute these values into the formula: V = 706.9 × 29 = 20,474.1 cm³. Rounded to one decimal place, the volume of the cylinder is 10007.6 cm³.

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The car will cover a distance of 180 miles in three hours.

We know that,

                      s = d/ t

           or       d = s* t

Where, s = speed

            d = distance

             t = time

According to the question,

               speed of the car (s) = 60 miles/ hour

                 Time taken (t)         = 3 hours

                 Distance travelled (d) = s * t

                                                      = 60miles/ hour * 3 hours

                                                      = 180 miles

Hence, the distance traveled by car in 3 hours is 180 miles.

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Answer:

3.3 or \(\frac{56}{17}\)

Step-by-step explanation:

v/7 = 8/17                    

Cross multiply ... v times 17 & 7 times 8

17v = 56

Divide both sides by 17

v = 56/17

Keep your answer as a fraction OR

Convert to a decimal : 3.3

Answer:

come back

Step-by-step explanation:

Given:

The length of the given rectangle is l =(2x+2) cm.

The width of the given rectangle is w =(3x-3) cm.

The perimeter of the given rectangle is P =58cm.

Required:

We need to find the area of the rectangle.

Explanation:

Consider the perimeter of the rectangle formula.

Substitute l=2x+2, w =3x-3 and P=58 in the formula.

Add 2 to both sides of the equation.

Divide both sides by 10.

Substitute x =6 in the equations l=2x+2.

The area of the rectangle is

Substitute l=14cm and w =15cm in the formula.

Final answer:

The area of the given rectangle is 210 square cm.

Answer:

2(11x+6)

Simplify to 22x + 12

Greatest common factor is 2

2x11x = 22

2x6 = 12

The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.

Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.

In the case of the given equation, as x increases, z also increases proportionally.

Similarly, if x decreases, z will also decrease proportionally.

Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.

In the given equation, we can see that z is the dependent variable, and x is the independent variable.

We can rewrite the equation as z = kx, where k = 30.

To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.

Here, the cost of buying apples is directly proportional to the number of apples purchased.

For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.

Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.

Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.

The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.

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I can really see the number in the picture, maybe if you retake it I will help you

Answer:

\(0.04 \\ \: to \: fraction \: just \: count \: from \: the \: point \: towards \: the \: \\ right \: in \: zeros \: then \: use \: as \: denominator \\ 0.04 = \frac{4}{100} = \frac{1}{25} \\ \\ 0.39 = \frac{39}{100} \\ \\ \\ \\ fraction \: to \: decimal \: \\ \frac{7}{10} = 0.7 \\ \\ \frac{52}{100} = 0.52\)

The group purchased 17 box tickets and 33 end tickets.

Let's use a system of linear equations to solve this problem.

Let B be the number of tickets purchased in the box, and E be the number of tickets purchased at the end. We can write two equations based on the information given in the problem:

B + E = 50 (equation 1)

41B + 23E = 1456 (equation 2)

Equation 1 represents the fact that the group purchased a total of 50 tickets. Equation 2 represents the fact that the total cost of the tickets was $1456.

We can solve for one of the variables in equation 1 (for example, E in terms of B) and substitute into equation 2 to eliminate one of the variables.

B + E = 50

E = 50 - B

Substituting E = 50 - B into equation 2:

41B + 23E = 1456

41B + 23(50 - B) = 1456

41B + 1150 - 23B = 1456

18B = 306

B = 17

So, the group purchased 17 box tickets and 33 end tickets.

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Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

Answer:

7.84

Step-by-step explanation:

783.68

\(783.63 \div 100 = 7.8363\)

Approx to 7. 84

Answer:

Hello,

What is tan 30°?

\(tan(30^o)=\dfrac {\sqrt{3} }{3}\)

Step-by-step explanation:

\(sin(30^o)=\dfrac{1}{2} \\\\cos(30^o)=\dfrac{\sqrt{3} }{2} \\\\\\tan(30^o)=\dfrac{sin(30^o)}{cos(30^o)} \\tan(30^o)=\dfrac{\dfrac{1}{2} } { \dfrac{\sqrt{3} }{2} }\\\\ =\dfrac {1*2}{2*\sqrt{3} }\\\\ =\dfrac {\sqrt{3} }{3}\)

The value of tan 30° is 1/√3

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.

Tan 30° = sin 30° / cos 30°

We know that, sin 30° = 1/2

cos 30° = √3/2

Therefore,

Tan 30° = 1/2 ÷ √3/2

Tan 30° = 1/2 x 2/√3

Tan 30° = 1/√3

Hence, the value of tan 30° is 1/√3

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The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

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Answer:

Diagnols of a rectangle are always congruent.

Step-by-step explanation:

Answer: 1 3/13

Step-by-step explanation: