Asynchronous activity.

Answer:

78.4 square units

Step-by-step explanation:

First we will find the radius of the circle by using circumference formula of circle.

\(c = 2\pi \: r \\ 31.4 = 2 \times 3.14 \times r \\ \\ r = \frac{31.4}{2 \times 3.14} \\ \\ r = \frac{3140}{2 \times 314} \\ \\ r = \frac{10}{2} \\ \\ r = 5 \: units \\ \\ area \: of \: circle = \pi {r}^{2} \\ = 3.14 \times {5}^{2} \\ = 3.14 \times 25 \\ = 78.5 \: {units}^{2} \\ \)

The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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Answer: Martin used (x + h)² instead of (x - h)²

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k    where

f(x) = x²

g(x) = (x + 3)²

                ↓      

              h= -3

           Shifted LEFT 3 units

Martin is not correct. The graph should be translated left 3 units from parent graph.

Given :

The function \(g(x)=(x+3)^2\)

Martin says the graph should be translated right 3 units from the parent graph

we know that ,

\(f(x)-> f(x-a)\) , the graph will be translated 'a' units right

\(f(x)-> f(x+a)\), the graph will be translated 'a' units left

From the given function g(x), 3 is added with x.

so, the graph of g(x) is translated 3 units left.

Martin is not correct. The graph should be translated left 3 units from parent graph.

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The sum of the measure of angles ∠AVC + ∠CVB is C. ∠AVB.

An angle bisector is a line segment that divides an angle into two equal parts.

The angle addition postulate states, if a line segment is in between an angle sum of two smaller angles created by the line segment, is equal to the measure of the larger angle.

The measure of angle AVB is 62°.

The measure of the angle AVC is 39° and the measure of the

angle CVB is 23°.

As the point, C is inside ∠AVB, ∠AVC + ∠CVB = ∠AVB.

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I THINK!!!!!! (x, y) = (-4, -25) im not completely sure tho

Step-by-step explanation:

substitute y = 7x + 3 in equation 2

9x - 2y = 14

9x - 2(7x + 3) = 14

9x - 14x + 6 = 14

-5x + 6 = 14

-5x = 14 - 6

x = 8 ÷ 5

x = 1.6

subs x = 1.6 into equation 1

y = 7x + 3

y = 7(1.6) + 3

y = 11.2 + 3

y = 14.2

thus, x = 1.6, y = 14.2

Answer:

hello

Step-by-step explanation:

4x+3x+2x=180⁰

9x=180⁰

x=20

hope it helps

have a nice day

Answer:

x= 20

Step-by-step explanation:

4x+3x+2x=180

9x=180

x=180/9

so

Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

Answer:- Hey Buddy! Hope this helps:-

12.5%= 125/10 and when simplified becomes 25/2

pls mark brainliest

Answer:

x=−3±42=−3±42√

Step-by-step explanation:

I got u bro

Answer:

The first option (1)

Step-by-step explanation:

Because i am always right and i know how to do math :) .

Your welcome

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

Triangle 1

A = 64

B = 51

C = ?

C = 180 - 64 -51

C = 65

Triangle 2

F = 65

D = 64

E ?

E = 180- 65 -64

E = 51

Procedure

Yes they are similar

AA (or AAA) or Angle-Angle Similarity

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Answer:

Step-by-step explanation:Homework Progress

22 / 77

P and Q are points on the line 3y - 4x = 12

a) Complete the coordinates of P and Q.

P (0,4

,0)

b) Plot points P and Q on the graph.

Use the tool to plot the coordinates.

c) Draw the line 3y - 4x = 12 for values

of x from -3 to 3.

so hmmm let's get the area of the whole hexagon, and then get the area of the circle inside it, then subtract the area of the circle from that of the hexagon's, what's leftover is what we didn't subtract, namely the shaded part.

\(\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\cot\stackrel{\stackrel{degrees}{\downarrow }}{\left( \frac{180}{n} \right)}~ \begin{cases} n=\textit{number of sides}\\ s=\textit{length of a side}\\[-0.5em] \hrulefill\\ n=\stackrel{hexagon}{6}\\ s=\frac{9}{2} \end{cases}\implies A=\cfrac{1}{4}(6)\left( \cfrac{9}{2} \right)^2 \cot\left( \cfrac{180}{6} \right)\)

\(A=\cfrac{1}{4}(6)\cfrac{9^2}{2^2} \cot(30^o)\implies A=\cfrac{243}{8}\cot(30^o)\implies A=\cfrac{243\sqrt{3}}{8} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{4}{5} \end{cases}\implies A=\pi \left( \cfrac{4}{5} \right)^2\implies A=\cfrac{16\pi }{25} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the hexagon}}{\cfrac{243\sqrt{3}}{8}}~~ - ~~\stackrel{\textit{area of the circle}}{\cfrac{16\pi }{25}}\implies \cfrac{6075\sqrt{3}-128\pi }{200}\)

Answer:

Answer is M.

Step-by-step explanation:

I hope it's helpful!

Answer:

r=ln3/10

Step-by-step explanation:

The daily rate is given by 3 to the power x divided by 10.

We have given that a sample of bacteria is growing at a continuously compounding rate.

The sample triples in 10 days.

The daily rate of the bacteria growth is. exponential growth is in the form

y = abˣ

where y, x are variables.

a is the initial value

Sample triples, in 10 days. therefore the value of b=3.

Therefore we get,

\(y=3a^{\frac{x}{10}\)

\(y=a3^{\frac{x}{10}\)

Therefore the daily rate is given by \(3^{\frac{x}{10}\).

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A.

1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.

2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.

3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.

4. Mode: No mode. Median: 17. Mean: 18. Range: 28.

5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.

6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.

B.

7. Mode: 4.3. Median: 4.2. Range: 2.1.

8. Mode: 18.6. Median: 18.6. Range: 0.8.

C.

9. Mode: No mode. Median: 4/9.

10. Mode: No mode. Median: 5/24.

Answer:

1000 children

Step-by-step explanation:

Find the total units of adults and children = 2 + 3 = 5

5 units = 5000

1 unit = 5000 ÷ 5 = 1000

100% ÷ 5 units = 20% each unit

3 units = 20% x 3 = 60%

Since we all know that 60% of the people are children and 40% of the children are girls...

60 - 40 = 20%

20% = 1000

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

Bookkeeping is the activities concerned with the systematic recording and classification of financial data of an organization in an orderly manner. ... It also involves preparing source documents for the financial transactions and other business operations being carried out.

Answer:  Bookkeeping is the activities concerned with the systematic recording and classification of financial data of an organization in an orderly manner. It is essentially a record-keeping function done to assist in the process of accounting.

Step-by-step explanation: 1. RECORDING ALL TRANSACTIONS

The foremost objective of bookkeeping is to identify all financial transactions taking place in the company and recording them accurately. The accounts payable and receivable must be noted in chronological order to maintain the order that can be showcased in the books of accounts.

Most bookkeepers use accounting software in Melbourne to track transactions as it reduces the risk of manual error in recording numbers and the time consumed to complete the task. These records are highly relevant for the business to understand the incomings and outgoings and to get the required information in the future.

2. DETERMINING FINANCIAL STANDING OF THE BUSINESS

They have the responsibility of informing the entrepreneur and the board members about the financial status of the company. The same information is needed by shareholders and investors and the bookkeepers have to present it to them so that they can make informed decisions.

For example, the professional can be helpful in suggesting whether the investment in a new project in Melbourne is a viable option for the business or it will lead to losses and financial constraints. They are the best judge of the financial health of the business and can provide the required financial advice at any given time.  

3. MAINTAINING ACCURACY

Bookkeepers are focused on maintaining error-free and accurate records. For this purpose, they rely on the reconciliation of bank accounts in Melbourne. It ensures that if any inflow or outflow of capital is missed at the time of recording transactions, it can be identified and noted correctly.

Thus, they compare the monthly bank statements of the business account with the books to maintain precision. Besides bank statements, they also compare the credit card statements or money received from other financial institutions in Melbourne. It aids in recognising the inconsistencies and even acts of embezzlement to keep the business safe from fraud.              

4. PAYROLL MANAGEMENT

Bookkeepers have many added responsibilities when they are working in small organisations in Melbourne. Thus, they have to keep a tab on the payroll to ensure the employees are paid on time after calculating the taxes and deductions.

They disburse the payments in compliance with the state regulations. It is essential to do these calculations accurately as they are needed for reporting pay as you go withholding (PAYGW) and superannuation information to the Australian Taxation Office.

With the introduction of the Single Touch Payroll, the task of payroll reporting has become simplified and less burdensome.  

5. GENERATING FINANCIAL REPORTS

Besides preparing the financial budget, the other objectives of a bookkeeper include generating the financial reports and statements at regular intervals. These include cash flow statement, balance sheet, and the income statement.

They are needed to understand the profits made by the business and the losses it incurred in a given period. These give an insight into the income, expenses, net cash flow, debts, assets, and liabilities. They use them to understand the net profit and profitability of the business.

6. INVENTORY MANAGEMENT

Another objective of bookkeeping is keeping track of the inventory as it is needed to calculate the cost of goods sold. It can be determined by calculating the volume of stock sold in a defined timeframe.

Bookkeepers are also aware of the stock that is available for sale at any point in time through the amount purchased from the suppliers in Melbourne. They usually use two methods to check on inventory – periodic inventory, which involves manually counting the stock at regular intervals and perpetual inventory, which uses a computerised accounting system connected to the point-of-sale system.  

7. TAX PREPARATION

Preparing for the tax season in Melbourne is the most significant task of a bookkeeping company. They have to determine the tax liability of their client’s business through the analysis of the financial data. They aid in tax planning by understanding the applicable tax deductions and filing the tax returns on time to avoid penalties.

Typically, businesses have to pay sales, income and payroll tax and the bookkeeper helps in calculating the correct amount after the deductions. Thus, they help to save money as paying too much tax can lead to losses and too little can get the business in trouble.      

Answer:

Step-by-step explanation:

1) Larger

2) Less/Close

3) Less

4) Less

5)Less

6) Close

here is a tip if you need help with a question use

the mathhhhhh wayyyy

Answer: D

because the fraction is 60

The relative frequency of a head coming up is 0.60. The correct option is D.

Relative frequency is a statistical measure that represents the proportion or fraction of times a particular value or event occurs in a given dataset or sample space. It is calculated by dividing the frequency of an event or value by the total number of observations in the dataset.

The relative frequency of a head coming up is the ratio of the number of times a head comes up to the total number of coin flips. In this case, a head comes up 36 times out of 60 flips. Therefore, the relative frequency of a head coming up is:

36/60 = 0.6

So, the answer is D. 0.60.

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Answer:

6:25:9

Step-by-step explanation:

12:50:18

6:25:9

I think the question is asking for the ratio to be simplified, if so then that's what the answer is.

Answer:

75

Step-by-step explanation:

12 : 50 :: 18 : x

In proportion, Product of extremes  = Product of means

                       12 * x = 50*18

                             \(x =\frac{50*18}{12}=\frac{50*3}{2}\)

                             x = 25 * 3 = 75

Answer:

600 po

Step-by-step explanation:

kasi po round the whole numbers

Answer:

I'll sing out

Step-by-step explanation:

give me a sec

Answer:

Ok, so we can express the boys as another letter. just express them as the letter B for boys.

Step-by-step explanation:

I really don't know why.

Answer:

The rainfall on Saturday was of 60 mm.

Step-by-step explanation:

Average rainfall:

The average rainfall is given by the total rainfall divided by the number of days(7). So

If the records of daily rainfall from Sunday to Friday were 45 mm, 22 mm, 28 mm, 36 mm, 30 mm and 24 mm

On Saturday it was of x mm. So

\(35 = \frac{45 + 22 + 28 + 36 + 30 + 24 + x}{7}\)

\(185 + x = 245\)

\(x = 245 - 185\)

\(x = 60\)

The rainfall on Saturday was of 60 mm.

Answer:

B. 85

Step-by-step explanation:

A triangle has a total of 180 degrees.

85 + 55 = 140

140 + 40 = 180

Your answer is B. 85

The value of x is 85°

The sum of interior angles of a triangle are 180°

If ∠A, ∠B, ∠C are three interior angles of a triangle,

Then ∠A+∠B+∠C = 180°

Given that, Two angles of the triangle are 40° & 55°

Let, the third angle be x.

Then, Sum of angles = 180°

     ⇒ 40°+55°+x = 180°

     ⇒ x+95° = 180°

     ⇒ x = 180°-95°

     ⇒ x = 85°

The value of x = 85°

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Answer:

No

Step-by-step explanation:

the first 3 is a hundred value, the second is a ten, and the last is a one value.

No all the numbers in 333 does not possess same value.

Given, number 333 .

Now the value of digits of number depends on the place value of the digit . Starting from the last digit it is at ones place , then the second digit is at tens place , then the third digit is at hundreds place .

In number 333

First three is at hundreds place.

Second three is at tens place .

Third three is at ones place .

So the word form of 333 is three hundred thirty three.

Hence all the digits does not have the same value.

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Answer:

\(10 < {e}^{8} \)

\( ln(10) < 8\)

\( ln(10) - 8 < 0\)

Since ln(10) > 0, it follows that ln(10) + 1 > 0, and so:

\(( ln(10) + 1)( ln(10) - 8) < 0\)

\( {( ln(10)) }^{2} - 7 ln(10) - 8 < 0\)

\(( { ln(10) })^{2} - 7 ln(10) + 1 < - 9\)

\( {( ln(10)) }^{2} + 2 ln(10) + 1 < 9 ln(10) - 9\)

\( {( ln(10) )}^{2} + 2 ln(10) + 1 < 9( ln(10) - 1)\)

(ln(10) + 1)^2 < 9(ln(10 - 1)

ln(10) + 1 < 3√(ln(10) - 1)

(1 + ln(10))/3 < √(ln(10) - 1)

√(ln(10) - 1) > (1+ ln(10))/3