I need some help i'm not the best when it comes to math what's 36 x 29?

Answer:

Chord = 2 • sine (Central Angle) • radius

radius = 8 cm / 2 * 0.86603

radius = 4.6187776405  cm

Step-by-step explanation:

From the ratio computed, the numbers will be 420 and 980.

From the information given, we are to divide 1400 in the ratio 7:3. The smaller number will be:

= 3/(3+7) × 1400

= 3/10 × 1400

= 420

The larger number will be:

= 7/10 × 1400

= 980

Therefore, the numbers will be 420 and 980.

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Step-by-step explanation:

it can be 700 + 36

hope it helps...

Answer:

The answer is yes no yes yes no

Step-by-step explanation:

The maximum and minimum voltage for an outlet can vary, but in standard residential outlets in the US, the voltage is typically 115 volts.

For alternating electric current, the number of oscillations per second is determined by its frequency. The frequency is measured in hertz (Hz), which represents the number of complete oscillations per second.

a) In 0.05 seconds, the number of oscillations can be calculated by dividing the time (0.05s) by the period (T), which is the inverse of the frequency. The formula is: Number of oscillations = Time / Period. However, the period can also be expressed as 1/frequency. So, the formula becomes:

Number of oscillations = Time x Frequency.

Given that the time is 0.05 seconds, you need to know the frequency of the alternating current to determine the number of oscillations.

b) The maximum and minimum voltage for an outlet depend on the type of alternating current.

In the case of standard residential outlets in the United States, the voltage is 115 volts.

However, it's important to note that the voltage is not always equal to 115 volts.

In summary, to determine the number of oscillations in 0.05 seconds, you need to know the frequency of the alternating current.

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Answer:

Slant height = 8 feet.

Step-by-step explanation:

If the perimeter of the square base = 12 then each side of the base = 12/4

= 3  feet and its area = 3*3 = 9 ft^2

The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.

So total surface area = 57 = 9 + 4 * 1.5h

9 + 6h = 57

6h = 48

h = 8 feet.

Answer:

\((5m - 2n)(25 {m}^{2} + 10mn + 4 {n}^{2}) \)

\(5m(2 {m}^{2} + 10mn + 4 {n}^{2} ) - 2n(25 {m}^{2} + 10mn + 4 {n}^{2} )\)

\(10 {m}^{3} + 50 {m}^{2}n + 20m {n}^{2} - \\ 50 {m}^{2} n - 20m {n}^{2} - 8 {n}^{3} \)

\(10 {m}^{3} - 8 {n}^{3} (ans)\)

Answer:

\(1156.8cm^3\)

Step-by-step explanation:

The volume of a cone is given as:

\(V =\frac{1}{3} \pi r^2h\)

where r = radius

h = height of cone

The height of the cone is 17.7 cm and its base radius is 7.9 cm (diameter is 15.8 cm).

Its volume is:

\(V = \frac{1}{3} * \pi = 7.9^2 * 17.7\\ \\V = 1156.8cm^3\)

Answer:

1157.3cm^3

Step-by-step explanation:

voume of a cone =V=πr^2h^3

Diameter = 15.8cm

Height = 17.7cm

Radius = diameter/2

= 15.8/2 = 7.9cm

Pi = 22/7

V = 22/7 ×7.9×7.9×17.7/3

= 22/7×62.41×5.9

V = 1157.25cm^3

Hence the volume of the cone is 1157.3cm^3

to the nearest 10th

Proficiency in statistics is an important skill for a data analyst because it is needed in  identifying patterns and correlations in data.

Data analysis can be regarded as the  process of collecting as well as modeling, and analyzing data so as to be able to extract insights that support decision-making.

Some Types of Data Analysis are:

It should be noted that Proficiency in statistics is an important skill for a data analyst because it is needed in  identifying patterns and correlations in data.

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The triangles can be created with angle measures of 135 degree, 45 degrees, and 10 degrees is b. no triangles.

To create a triangle, the sum of the angle measures must equal 180 degrees. However, the given angle measures of 135 degrees, 45 degrees, and 10 degrees add up to 190 degrees, which is greater than 180 degrees.

Therefore, it is not possible to create a triangle with these angle measures.

Triangle: A geometric figure with three sides and three angles.

Angle: The amount of rotation between two lines that intersect at a common point.

Degrees: A unit of measurement for angles. There are 360 degrees in a circle.

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On the interval [π, 2π], the function values of the cosine function increase from -1 to 1.

The cosine function, denoted as cos(x), is a periodic function that oscillates between -1 and 1 as the angle increases. The period of the cosine function is 2π, which means it repeats its pattern every 2π radians.

At the starting point of the interval, which is π, the cosine function takes the value of -1. As the angle increases within the interval, the cosine function gradually increases, reaching its maximum value of 1 at 2π.

To visualize this, imagine a unit circle centered at the origin. At the angle of π, which is the point opposite to the positive x-axis, the cosine function is -1. As we move counterclockwise around the unit circle, the cosine function increases until it reaches 1 at the angle of 2π, which corresponds to a complete revolution around the circle.

Therefore, on the interval [π, 2π], the function values of the cosine function increase from -1 to 1, representing a full cycle of the cosine function from its minimum to its maximum value within that interval.

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Answer:

1.25

Step-by-step explanation:

to find the unit rate you have to find out how much one pound will be so you divide 15 by 12 and you get 1.25

Answer:

$5635.72

Step-by-step explanation:

Compound interest formula when interest is applied once per year:

A (final amount) = P(starting amount) * (1+r(rate))^t (time)

rate = 7%

to convert to a decimal, divide by 100

rate = 7/100 = 0.07

A = 14000 * (1+0.07)^5

   = 19635.72

interest earned = final - initial = 19635.72 - 14000 = 5635.72

The set builder form of the sets are

1) { | = ², where is a positive integer between 1 and 9}

2) { | = 5ⁿ, where n is a non-negative integer less than or equal to 5}

3) { | = 3, where is a positive integer between 1 and 6}

In set-builder notation, we use the curly brackets {} to enclose the elements of a set, and a rule or condition to define the elements that belong to the set.

Let's look at each of the sets given and express them in set-builder form:

{1, 4, 9,……..81}

This set contains the perfect squares of the numbers 1 to 9. To express it in set-builder notation, we can use the following rule:

{ | = ², where is a positive integer between 1 and 9}

{1, 5, 25, 125, 625, 3125}

This set contains the powers of 5, starting from 5⁰=1 up to 5⁵=3125. To express it in set-builder notation, we can use the following rule:

{ | = 5ⁿ, where n is a non-negative integer less than or equal to 5}

{3, 6, 9, 12, 15, 18}

This set contains the multiples of 3, from 3 to 18. To express it in set-builder notation, we can use the following rule:

{ | = 3, where is a positive integer between 1 and 6}

In this rule, we multiply 3 by the positive integers 1 to 6 to obtain the elements of the set.

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Complete Question:

Express the following sets in set-builder form.

1. {1, 4, 9,……..81}

2. {1, 5, 25, 125, 625, 3125}

3. {3, 6, 9, 12, 15, 18}

A quality-control manager randomly selects bottles that were filled on a certain date to assess the calibration of the filling machine. This sampling process is essential to ensure that the filling machine is functioning correctly and accurately dispensing the desired amount of content into each bottle.

By randomly selecting bottles from the production batch, the quality-control manager aims to obtain a representative sample that reflects the overall quality of the filled bottles. This allows them to evaluate the accuracy of the filling machine and identify any potential issues or deviations in the filling process. Random sampling is a common practice in quality control as it helps to minimize bias and provide a more objective assessment of the filling machine's calibration. By assessing a random sample of bottles, the quality-control manager can make informed decisions regarding the performance of the filling machine and take appropriate corrective actions if necessary. This process contributes to maintaining consistent product quality and ensuring customer satisfaction by identifying and addressing any discrepancies in the filling process.

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Question 1.) The value of the angle C = 90° ( acute angle)

Question 2.) The area of the triangle = 240

Question 3.) The measure of the angle B = 65.4°

To calculate the area of a triangle the formula below is used:

Area of a triangle = 1/2 base × height.

where: base = 12

height = 40

area = 1/2 × 12× 40

= 480/2 =240

The measure of the angle B can be calculated using the SOHCAHTOA formula:

The sides of the triangle connected to angle B = Hypotenuse and opposite.

Sin B = opposite/hypotenuse

where,

opposite = 40

hypothenuse = 44

Sin B = 40/44 =0.909090909

B = sin-¹ (0.909090909)

B = 65.4°

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The probability of a random sample of parts produced by this machine being exactly defective = 0.15

Step-by-step explanation:

Let the percentage of defective part be 12%

and the sample be out of 7 , 2 are defective.

P(X=x) = (e-λ λ x)/ x!   [ poisson distribution]

Since, 12%  defective parts is produced by one of the machines of the time.

μ= (12%×7)= 0.84

the number of defective product =2

Therefore ,

P(X=2) = 0.15

Thus the required probability becomes 0.15

In Statistics, Poisson distribution is one of the important topics. It is used for calculating the possibilities for an event with the average rate of value. Poisson distribution is a discrete probability distribution.

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Given:

Leo had $91, which is 7 times as much money as Alison had.

Let x represents Alison's money.

So, the expression for Leo's money is,

Divide both sides of the above equation by 7.

So, Alison had $13.

Therefore, the correct solution method is

A) 7x = 91. Divide both sides by 7. Alison had $13.

Answer:

5/12

Step-by-step explanation:

Here, we want to select the probability that the selected student is a sophomore given that he is a boy

In this case;

P(B) = P(boy)

P(A) = P(sophomore)

What we know is that the probability for any section is simply the number of that section divided by the total number of students which is 12 + 18 = 30

From the table;

P(B) = 12/30

P(An B) = 5/30

So;

P(A|B) = 5/30 divided by 12/30

= 5/30 * 30/12 = 5/12

Answer:

1 acre is equal to 43,560 square feet.

Step-by-step explanation:

Hope it helped!

The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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Answer: The variable that will be eliminated when the equations are combined after the multiplication is y.

Step-by-step explanation: Happy to help :D

Answer:

I'm pretty sure it is 3 hours.

Step-by-step explanation:

Well, when you add 9 plus 6, you get 15. Then you divie 45 by 15, which gives you three. Hope this helps. Good luck :D

The solution to the equation is x = 6.

An equation contains one or more than two terms connected by an equal sign.

Example:

2x + 4y = 88 is an equation.

We have,

3(10x + 4) = 8(3x + 6)

Solve for x.

3(10x + 4) = 8(3x + 6)

Multiplication over addition.

30x + 12 = 24x + 48

Combine like terms on one side.

30x - 24x = 48 - 12

6x = 36

Divide 6 into both sides.

x = 6

Thus,

The solution is x = 6.

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