The diameter of a circle is 5 cm. Find its area to the nearest whole number.

Answer: 3^3 Square root 3

Step-by-step explanation:

Using the substitution method equation form is x is 3 and y is1

Form of Point: (3 , 1 )

Equation Form: x = 3 and y =1

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Answer:

C

Step-by-step explanation:

Answer:

h f

Step-by-step explanation:

hf hf

Step-by-step explanation:

\( \sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\ \)

from difference of two squares:

\({ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}\)

therefore:

\( = \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta\)

factorise out ¾ :

\( = \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}\)

Answer:

65 - (31.25 + 16.50) = x

Step-by-step explanation:

The marginal frequency of students who chose dancing is 37.

The correct answer to the given question is option 3.

The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.

Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.

It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.

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Answer:

2.72

Step-by-step explanation:

you divide 8.16 by 3

to double check you multiply 3 by 2.72

Answer:

t=-2.72

Step-by-step explanation:

3t=-8.16

3   =    3

t=-2.72

Answer:

\(x = \frac{20}{4} \\ x = 5\)

Answer:

x=5

Step-by-step explanation:

In this triangle the three interior angles are = ∠82° , ∠54° and ∠x .

Then ;

∠82° + ∠54° + ∠x = 180° ( under angle sum property which says that the sum of the three interior angles of a triangle is equal to 180° )

= 136 ° + x = 180

= x = 180 - 136

∠x and ∠y will sum up to 180° as they are a linear pair .

= 44° + y = 180

= y = 180 - 44

Since ∠y and ∠z are vertically opposite angles their angle measure will be equal . Which means ;

= ∠y = ∠z

= 136° = ∠z

Therefore :-

The possible polynomial function with the given properties is:

f(x) = -1/5(x2 - 10x + 16)

Now, Based on the given properties, a possible polynomial function would be:

⇒ f (x) = a(x + 2)(x - 4)

To satisfy the second-degree requirement, we need to have an x² term in the function.

By factoring the function above as shown, we can see that it has two roots: x = -2 and x = 4.

Therefore, we can say that this function has zeros at x = -2 and x = 4.

To determine the value of the coefficient "a", we can use the information that the function goes to -∞ as x → -∞.

This means that the leading coefficient of the function must be negative.

Since, we have a(x + 2)(x - 4), and the x² term has a coefficient of a, we can see that a must be negative.

To further simplify the function and reduce all fractions to lowest terms, we can distribute the negative sign and multiply out the factors:

f(x) = a(x + 2)(x - 4)

     = a(x² - 2x - 8x + 16)

     = a(x² - 10x + 16)

Therefore, The possible polynomial function with the given properties is:

f(x) = -1/5(x2 - 10x + 16)

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what happen is there is a glitch probably

yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.

Answer:

B. 80°

Step-by-step explanation:

55+45=100

180-100=80

Q=80°

Answer:

Step-by-step explanation:

If the order you select them is important

nmber of ways = 9! / (9-7)!

= (9*8*7*6*5*4*3*2*1) / (2*1)

= 9*8*7*6*5*4*3

= 181,440.

If the order does not matter:

nmber of ways = 9! / ((9-7)! * 7!)

= 9*8 / 2*1

= 36.

Answer:

The circumference of the​ circle is \(C=56.55 \:m\).

Eugene confused the radius with the diameter to find the circumference of the circle.

Step-by-step explanation:

The circumference of a circle is the distance around the outside of the circle.

The circumference of a circle is found using this formula:

\(\begin{matrix} C=\pi \cdot d\\or\\ \, C=2\pi \cdot r \end{matrix}\)

From the information given the diameter of the circle is 18 m. Therefore, the circumference of the​ circle is

\(C=\pi \cdot d\\\\C=3.14 \cdot 18 \approx 56.55 \:m\)

Eugene used the wrong formula to find the circumference of a circle.

\(C=2\cdot(3.14)\cdot 18=113.04 \:m\)

He confused the radius with the diameter.

Answer:

Eugene used the wrong formula to find the circumference of a circle.

He confused the radius with the diameter.

Step-by-step explanation:

The probability that the sum of the pips selected that is at least 11 would be = 1/12.

To determine the probability of the selected events, the formula for problem should be used which is given below;

Probability = possible outcome/sample space

Possible outcome = at least 11 = (5,6),(6,5),(6,6)

= 3

Sample space = 36

Probability = 3/36 = 1/12

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Yes, all of the conditions for inference have been met to carry out a t-test for a difference in means.

Three main conditions need to be satisfied: the random condition, the 10% condition, and the Normal/large sample condition.

The random condition is met because the real-estate agent randomly assigned the homes to be staged or empty. This ensures that the sample is representative of the population of comparable homes.

The 10% condition is met because the agent selected 10 comparable homes, and the sample of 5 staged and 5 empty homes represents less than 10% of the population of comparable homes.

The Normal/large sample condition is met because the dot plot of each sample shows no strong skewness and no outliers. Additionally, with a sample size of 5 for each group, the t-test can still be valid even if the population distributions are not exactly normal.

Therefore, all the conditions for inference have been met, allowing the real-estate agent to carry out a t-test for a difference in means and test the hypothesis regarding the selling prices of staged and empty homes.

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The amount of water tank  with water after 10 minutes will be 4950 liters.

To solve this problem, we need to keep track of the net flow of water into the tank over the course of 10 minutes. The tap filling water adds water to the tank, while the tap emptying water removes water from the tank.

Let's calculate the net flow rate of water per minute:

Flow rate = (filling tap flow rate) - (emptying tap flow rate)

Flow rate = 40 L/min - 25 L/min

Flow rate = 15 L/min

Now, we can calculate the net flow of water over 10 minutes:

Net flow of water = (flow rate) * (time)

Net flow of water = 15 L/min * 10 min

Net flow of water = 150 L

Therefore, over the course of 10 minutes, the net flow of water into the tank is 150 liters.

Initially, the tank had 4800 liters of water. Adding the net flow of water, we can determine the final amount of water in the tank:

Final amount of water = (initial amount of water) + (net flow of water)

Final amount of water = 4800 L + 150 L

Final amount of water = 4950 L

After 10 minutes, there will be 4950 liters of water in the tank.

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The sum of the diagonal is 34.

A function that sums all the numbers of the major diagonal in a matrix of integers using the following header: def sumMajorDiagonal(m): The major diagonal is the diagonal that runs from the top left corner to the bottom right corner in the square matrix.

A test program that reads a 4-by-4 matrix and displays the sum of all its elements on the major diagonal.

import java.util.Scanner;

public class twoDimentionalArrays

{

 public static int sumMajorDiagonal(int[][] m)

 {

   int sum =0;

   for(int i =0;i<m.length;i++)

     sum += m[i][i];

   return sum;

 }

 public static void main (String[] args)

 {

   Scanner scan = new Scanner (System.in);

   System.out.println("Fill in this 4x4 matix");

   int[][] nums = new int[4][4];

   for (int i =0;i<nums.length;i++)

   {

     for (int j =0;j<nums[i].length;j++)

     {

       nums[i][j] = scan.nextInt();

     }

   }

   System.out.println("Diagonal sum is " + sumMajorDiagonal(nums));

 }

}

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Answer:

I believe it is y=1x or y=x

Answer:

14

Step-by-step explanation:

The constant of proportionality is the y number when x is 1.  Look on the bottom of the graph.  Find 1, so up to the line and then across left to the y axis.  you will be at 14.  This means that every time the x increases by 1, the increases by 14

Answer:

slope = 5; y-intercept = (0,0)

Step-by-step explanation:

Answer:

slope= 5/1

y-intercept=0

Step-by-step explanation:

I hope this helps... if it does, may I be brainliest???

Answer:

Its option j.

Step-by-step explanation:

The graph is the graph of y =  |x| moved 1 unit to the right,

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.

Step-by-step explanation:

Answer:

To find the inverse interchange the variables and solve for y.

Step-by-step explanation:

f−1(x)=6x−53(1+x)

there is not enough information to complete the answer

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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