for each circle , work out​

For Each Circle , Work Out

Answers

Answer 1

Answer:

Formulas

[tex]\textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

[tex]\textsf{Area of a semicircle}=\dfrac{1}{2}\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]

[tex]\textsf{Radius of a circle}=\sf \dfrac{1}{2}d\quad\textsf{(where d is the diameter)}[/tex]

[tex]\textsf{Perimeter of a semicircle}=r(\pi +2) \quad \textsf{(where r is the radius)}[/tex]

Use the above formulas to calculate the various measurements, remembering to calculate the radius first when given the diameter.

Question 9

a) Radius = 2.7 cm

[tex]\implies \textsf{Area}=\sf \pi (2.7)^2=22.9\:\:cm^2\:(1\:d.p.)[/tex]

[tex]\implies \textsf{Circumference}=\sf 2 \pi (2.7)=17.0\:\:cm\:(1\:d.p.)[/tex]

-----------------------------------------------------------------------

b)  Diameter = 45 mm

[tex]\sf \implies Radius =\dfrac{45}{2}=22.5\:\:mm[/tex]

[tex]\implies \sf Area= \pi (22.5)^2=1590.4\:\:mm^2\:(1\:d.p.)[/tex]

[tex]\implies \sf Circumference= 2 \pi (22.5)=141.4\:\:mm\:(1\:d.p.)[/tex]

Question 10

a)  Radius = 8.5 cm

[tex]\implies \sf Area=\dfrac{1}{2}\pi (8.5)^2=113.5\:\:cm\:(1\:d.p.)[/tex]

[tex]\sf \implies Perimeter=8.5(\pi +2)=43.7\:\:cm\:(1\:d.p.)[/tex]

-----------------------------------------------------------------------

b)  Radius = 24 mm

[tex]\implies \sf Area=\dfrac{1}{2}\pi (24)^2=904.8\:\:mm\:(1\:d.p.)[/tex]

[tex]\sf \implies Perimeter=24( \pi +2)=123.4\:\:cm\:(1\:d.p.)[/tex]

-----------------------------------------------------------------------

c)  Diameter = 32 cm

[tex]\sf \implies Radius =\dfrac{32}{2}=16\:\:cm[/tex]

[tex]\implies \sf Area=\dfrac{1}{2}\pi (16)^2=402.1\:\:cm\:(1\:d.p.)[/tex]

[tex]\sf \implies Perimeter=16( \pi +2)=82.3\:\:cm\:(1\:d.p.)[/tex]

-----------------------------------------------------------------------

d)  Diameter = 15 m

[tex]\sf \implies Radius =\dfrac{15}{2}=7.5\:\:m[/tex]

[tex]\implies \sf Area=\dfrac{1}{2}\pi (7.5)^2=88.4\:\:m\:(1\:d.p.)[/tex]

[tex]\sf \implies Perimeter=7.5( \pi +2)=38.6\:\:m\:(1\:d.p.)[/tex]


Related Questions

Kevin works at a restaurant. He stacks glasses as shown. Let x be the number of glasses and f(x) be the height of the stack. If 5.5 inch glasses with 1.2 inch lips are stacked vertically, which table correctly models this situation?

Answers

The table that correctly models the linear equation is table A.

Which table correctly models this situation?

The first glass added will have a height of 5.5 inches, and then for each glass that we add, we are adding a height of 1.2 inches.

This means that the first value on the table must be 5.5 in.The second value must be 5.5 in + 1.2in = 6.7 in.The third value must be: 6.7in + 1.2in = 7.9 in

And so on, so we have the linear relation:

y = 5.5in + x*1.2in

Where x is the number of glasses in the tower.

Then the table that correctly models this situation is table A.

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Answer:

the one with 5.5, 6.7 etc

Step-by-step explanation:

no

Stephanie read 45 pages from a book of 120 pages. Which of the following equations shows the number of pages (n) Stephanie still needs to read?

Answers

The equation of the number of pages Stephanie still needs to read will be n + 45 = 120. Then the correct option is A.

The missing options are given below.

A.  n + 45 = 120

B.  n - 45 = 120

C.  45ⁿ = 120

D.  n/45 = 120

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Stephanie read 45 pages from a book of 120 pages.

Let n be the number of remaining pages.

Then the equation, we have

n + 45 = 120

Then the correct option is A.

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The graph shows China’s workforce from 2000 to 2019. A graph titled Percentage of Workers in Economic Sectors in China from 2000 to 2010 has year on the x-axis and percentage of workers on the y-axis, from 0 to 60 in increments of 10. Agriculture starts at 50 percent in 2000 and then decreases gradually to 37 percent in 2010. Industry starts at 23 percent and then slowly increases to 30 percent. Services starts at 29 percent and then slowly increases to 35 percent. Based on this graph, globalization has affected China’s workforce by creating a shift toward specialization in agriculture and away from services. services and away from agriculture. industry and away from services. agriculture, services, and industry.

Answers

Based on the graph, globalization affected China's workforce by creating a shift toward specialization in: B. services and away from agriculture.

What is globalization?

Globalization is a strategic process that involves the integration of various markets across the world, in order to enhance and foster the continuous buying and selling of different goods and services between them.

This ultimately implies that, globalization helps in the creation of new forms of the following systems:

TransportationCommunicationTechnologyAgriculture

Based on the given graph, we can logically deduce that globalization affected China's workforce by creating a shift toward specialization in services (increased from 29% to 35%) and away from agriculture (decreased from 50% to 37%).

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Answer:

B. services away from agriculture

Step-by-step explanation:

Carol buys a house for £234 900
She pays a 10% deposit.
Work out the amount of deposit paid by Carol.

Answers

Answer:

211410

Step-by-step explanation:

234900x.10

23490

234900-23490

211410

find the radius of a circle whose arc length is 55 m and its central angle measure if 5 radians

Answers

Answer:

Step-by-step explanation:

To solve this question, we can use the formula [tex]S=\theta r[/tex], where [tex]S[/tex] is the arc length, [tex]\theta[/tex] is the central angle of the sector in radians, and [tex]r[/tex] is the radius.

In this situation, we know that [tex]S=55[/tex] and [tex]\theta=5[/tex]

This means that [tex]55=5r \longrightarrow \boxed{r=11}[/tex]

a)1 year into second​

Answers

Answer:

31536000 seconds in a year

Step-by-step explanation:

there are 365 days in a year, 24 hours in a day, 60 minutes in an hour, and 60 seconds in each minute. you have to multiply all of them

2a - (a + 3) I need Answers

Answers

Answer:

a-3

Step-by-step explanation:

[tex]2a-(a+3)\\= 2a - a - 3\\= a - 3[/tex]

Answer:

a-3

Step-by-step explanation:

2a - (a+3)

removing bracket

2a -a-3

a-3

final answer

a-3

Polygons: Mastery lest
?
What is the distance between C(4, 5) and
D(4,-5)?
5 units
08 units
O 10 units

Answers

Answer:

10 [units].

Step-by-step explanation:

1) the x-coordinates have the same value, then

2) the required distance can be calculated as distance between '-5' and '5':

5--5=10 [units].

What is 6 months to 5 years expressed as a ratio

Answers

Answer:

6:5

Step-by-step explanation:

6:5

the To represents :
this makes 6:5



Admission to a baseball game is $3.00 for general admission and $5.50 for reserved seats. The receipts were $3277.50 for 845 paid admissions. How many of each ticket were sold?

Answers

Answer:

548, 297

Step-by-step explanation:

We can set this up as a system of equations. The first equation is for how many tickets were sold, which is x+y=845. The second equation is for the cost of the tickets, which is 3x+5.5y=3277.50. The best method for this problem (other than graphing) is elimination. First, we need to multiply one equation to get the opposite of one of the variables. The easiest one to do for this problem is x. The opposite of 3 is -3, so we have to multiply ALL of the first equation by -3. If you do this, then you get -3x-3y=-2535. Now, combine the equations:

3x + 5.5y = 3277.50

-3x  -3y    = -2535

________________

0x+2.5y=742.5

Now, isolate y by dividing both sides by 2.5. If you do this, you get y=297. Now, plug this in for the y in the first equation. Isolate x.

x+297=845

  -297  -297

__________

      0      548

x=548

Hope this helps!

Which equation is quadratic in form?

Answers

A quadratic equation is written in the form  [tex]ax^{2} + bx + c = 0[/tex]

Looking at the second, third, and fourth options, we see that the highest powers are greater than two, which automatically disqualifies them from being quadratics (since the highest power in a quadratic is 2).

This makes the first option the correct choice since the expansion of the equation gives [tex]2x^{2} + 28x + 61[/tex]

Answer:

a

Step-by-step explanation:

How would you apply the fundamental counting principle to a bike lock combination with 5 numbers?

1. 10+ 10+ 10+ 10+10
2. 10x5
3. 10x10x10x10x10
4.none of these

Answers

Answer:

3

Step-by-step explanation:

A regular hexagonal prism has a height of 7 cm and base edge length of 4 cm. Identify its lateral area and surface area.

Answers

Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.

What is lateral and surface area of the regular hexagonal prism?

For a regular hexagonal prism, the Lateral surface area and the surface area is expressed as follows:

Lateral Area = 6a × h

Surface Area = 6ah + 3√3a²

Where a is base edge and h is height.

Given that;

Base edge length a = 4cmHeight h = 7cm

The Lateral Area of the regular hexagonal prism will be;

Lateral Area = 6a × h

Lateral Area = 6( 4cm ) × 7cm

Lateral Area = 24cm × 7cm

Lateral Area = 168cm²

The Surface Area of the regular hexagonal prism will be;

Surface Area = 6ah + 3(√3)a²

Surface Area = 6(4cm × 7cm) + 3(√3)(4cm)²

Surface Area = 168cm² + 3(√3)16cm²

Surface Area = 168cm² + 83.138cm²

Surface Area = 251.138cm²

Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.

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Hi i have exams coming up soon within 4 months time what can i don't to focus more and not be easily distracted? ​

Answers

i would recommend setting a schedule for each day. a to do list can also help. this can help you stay on track make a list of things you need to do and have set goals for every week or month. if you're studying something you dont like, i would recommend doing pomodoros. you can find videos to follow along to.

i hope this was helpful!

Which quadratic function in vertex form has a vertex at (3, 4) and passes through the point (7,-4)

Answers

Answer:

First option

Step-by-step explanation:

Given the following question:

We are being asked to find the quadratic function that has a vertex of (3, 4) and passes through the point (7, -4). Remember that the vertex of any parabola is the point on the top of the parabola, directly in the middle of the top of the function.

First option:

[tex]y=-\frac{1}{2} (x-3)^2+4[/tex]
(see photo below)

As you can see the function has a vertex of (3, 4) which means the point on the top of the parabola is (3, 4) or the vertex. It also passes through the point (7, -4) meaning the first option is your answer.

Hope this helps.

HELP QUICK!!!! NOW!!!!

Answers

Answer: B. 2,448π units³

Step-by-step explanation:

     We will use the formula for the volume of a cylinder to solve.

(The formula, put simplify, finds the area of the base circle and multiples by the height.)

V = πr²h

V = π(12)²(17)

V = (144)(17)π

V = 2,448π

       The volume is 2,448π units³ which is option B for your problem.

Solution :

We have been provided with the height and radius and we need to calculate the volume of cylinder. So we would be using it's formula :

V = πr²h

Here,

r is radius h is height

We have :

height (h) = 17 radius (r) = 12

Substituting the value :

>> V = π (12)² (17)

>> V = π (12 × 12) (17)

>> V = π × 144 × 17

>> V = π × 2448

>> V = 2448 π

Therefore :

Option B is correct.

Choose the words to finish the sentence. Euler’s Formula states that the of the number of faces and the number of in a polyhedron is equivalent to two more than the number of its .

Answers

Answer:

see explanation

Step-by-step explanation:

Euler's formula states that the sum of the number of faces (F) and the number of vertices (V) of a polyhedra is equivalent to two more than the number of its edges (E) , that is

F + V = E + 2

Find the length of the following curve. If you have a​ grapher, you may want to graph the curve to see what it looks like.
y=1/27((9x^2)+(6))^3/2 ,from x=3 to x=6

Answers

The length of the curve [tex]y = \frac{1}{27}(9x^2 + 6)^\frac 32[/tex] from x = 3 to x = 6 is 192 units

How to determine the length of the curve?

The curve is given as:

[tex]y = \frac{1}{27}(9x^2 + 6)^\frac 32[/tex] from x = 3 to x = 6

Start by differentiating the curve function

[tex]y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x[/tex]

Evaluate

[tex]y' = x(9x^2 + 6)^\frac 12[/tex]

The length of the curve is calculated using:

[tex]L =\int\limits^a_b {\sqrt{1 + y'^2}} \, dx[/tex]

This gives

[tex]L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx[/tex]

Expand

[tex]L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx[/tex]

This gives

[tex]L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx[/tex]

Express as a perfect square

[tex]L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx[/tex]

Evaluate the exponent

[tex]L =\int\limits^6_3 {3x^2 + 1} \ dx[/tex]

Differentiate

[tex]L = x^3 + x|\limits^6_3[/tex]

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units

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find the product of
2a(a+b)
3xy(2x-3y)

Answers

Answer:

2a² + 2ab , 6x²y - 9xy²

Step-by-step explanation:

using the distributive property

a(b + c) = ab + ac

given

2a(a + b) ← multiply each term in the parenthesis by 2a

= 2a² + 2ab

given

3xy(2x - 3y) ← multiply each term in the parenthesis by 3xy

= 6x²y - 9xy²

Answer:

6x2-9x2

Step-by-step explanation:

because I don't know the explanation

1.
In AXYZ, |XZ| = 13 cm, XY = 12 cm and
ZXYZ = 90°. Find YZ if the area of the
triangle is 30 cm².

Answers

Step-by-step explanation:

I think you mean triangle XYZ. and angle XYZ.

so, the angle at Y is 90°.

that makes XZ the Hypotenuse (baseline opposite of the 90° angle) of the right-angled triangle.

so, we can actually use Pythagoras (we don't need the area of the triangle to solve) :

13² = 12² + YZ²

169 = 144 + YZ²

25 = YZ²

YZ = 5 cm

just to check - the area of this triangle is (remember, it is a right-angled triangle, so XY and YZ serve also as baseline and height) :

area = 12 × 5 / 2 = 60/2 = 30 cm²

correct, it fits.

What is 2/3 by 4/5 in fraction

Answers

Answer: If you mean to multiply, the answer is 8/15.

Step-by-step explanation:

Multiply numerator by numerator and denominator by denominator.

2 x 4 = 8

3 x 5 = 15

ANSWER: 8/15

If you mean to multiply,the answer is 8/15

David has 30 sweets. He gives Sarah of his sweets and Joe 20% of his
sweets. How many sweets does David have left?

Answers

Answer:

24

Step-by-step explanation:

20 percent of 30 is 6

30-6=24

therefore david has 24 sweets left

Chords AC and DB intersect at point E. Select all pairs of angles that must be congruent.

Answers

∠ADE and ∠ACB, ∠DEA and ∠CEB, ∠CAD and ∠CBD are pairs of angles that must be congruent.

What are congruent angles?

Congruent angles are said to be angles that have equal measure.

From the figure, we can see that;

∠ADE and ∠ACB are congruent because they are corresponding angles, corresponding angles are equal.

∠DEA and ∠CEB are congruent because they are corresponding angles

∠CAD and ∠CBD are also congruent because they are corresponding angles

Therefore, ∠ADE and ∠ACB, ∠DEA and ∠CEB,  ∠CAD and ∠CBD are pairs of angles that must be congruent.

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Connor leaves Omaha heading directly east at a rate of 32 miles per hour.
One hour later, Jason leaves from Omaha heading in the same direction at a rate of 50 miles per hour.
How long, in hours, after Jason leaves does Jason catch up with Connor?
Round your answer to the nearest hundredths place if necessary.

Answers

Answer:

1.02 miles

Step-by-step explanation:

a) The scale of a map is 1:20 000. What distance in metres does 4cm on the map represent?​

Answers

Answer:

80 000

Step-by-step explanation:

1 cm : 20 000 (The question does not state the unit of the other half)

So

4 cm : 4×20 000

4 cm : 80 000

I'm not sure about units but hope this helped and brainliest please

Answer:

80 000 meters

Step-by-step explanation:

In the map:

1 cm = 20000 m

4 cm = 4(20000) = 80 000 meters

4 cm on the map represents 80 km in reality.

Hope this helps

a web adminitrator is interested in the average number of visitors per day that her website receives. Match the vocab word with its corresponding example'

Answers

The correct matching of the vocabulary words and the examples given of the web administrator's process are:

Population - All the days that the website has been in existence.Statistic - The average number of visitors per day for the 42 days that the administrator tracked.Sample - The 42 randomly selected days that the administrator tracked.Variable - The number of visitors that the website receives on a given day.Data - The list of visitor counts for the 42 days that were tracked. Parameter - The average number of visitors per day that have come to the website since it was created.

What metrics are used by the website administrator?

The entire population being looked at would best be all the days that the website has existed and the sample will be some selected days that have been tracked.

Parameters can be created such as the average number of visitors per say and then data would be derived on this. A statistic would simple show certain information such as the average visits in the days tracked.

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which situation representd 24÷6

Answers

Answer:

= 4

Step-by-step explanation:

24÷6

= 4


What are the domain and range of the function f(x)=x²-2x² -4?

Answers

Answer:

The domain is -∞, ∞

The range is -∞, -4

Step-by-step explanation:

The domain is the data in a set representing the possible real numbers for a function.

The range is the range that this function's result is likely to be in.

twice a number added to 13 is equal to 27 what is the number

Answers

Let's think that The NUMBER is x so it would be 2x+13=27 so this goes to 2x=27-13 which is 2x=14 so x equal to 7

The number is 7. Let's represent the number as "x." According to the given information, "Twice a number added to 13 is equal to 27," which can be expressed as an equation.

2x + 13 = 27

Now, solve the equation for "x":

Subtract 13 from both sides:

2x = 27 - 13

2x = 14

Divide both sides by 2:

x = 14 / 2

x = 7

Therefore, the number is 7.

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Which of the following values are solutions to the inequality -5 -6x > -8?
I. - 4
II. - 3
III. - 5

Answers

The answer is :x< 1/2

Answer:

I. - 4

II. - 3

III. - 5

Step-by-step explanation:

All values are the solution to the inequality

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