Given circle with radius of 5cm.
Find out
(a) diameter
(b) perimeter
(c) area

Answers

Answer 1

Answer:

(1) 10

(2) 10π

(3) 25π

Step-by-step explanation:

We are given the radius of the circle which is halfway through a circle. The radius of this circle is 5.

We are required to find the diameter, perimeter, and area using the given data we have been provided with.

Let's start:

#1: Diameter

To find diameter [tex]d[/tex] use formula:

                                               [tex]d=2*r[/tex]

After substituting  [tex]r=5[/tex] we have:

                                             [tex]d=2*5\\d=10[/tex]

After calculating, we have found that the diameter of the circle is 10.

#2: Perimeter

The perimeter can also be known as the circumference of a circle as they both measure the outline.

To find circumference [tex]C[/tex] use formula:

                                                  [tex]C=2*r*\pi[/tex]

After substituting [tex]r=5[/tex] we have:

                                          [tex]C=2*5*\pi[/tex]

                                           [tex]C=10\pi[/tex]

Convert [tex]10\pi[/tex] to a decimal and round it to the nearest tenth and we have:
⇒ 31.4159265359

31.4

After calculating, we have found that the perimeter (or circumference of the circle is 10π or 31.4 (Rounded to the nearest tenth in decimal form).

#3: Area

To find area [tex]A[/tex] use the formula:

                                            [tex]A=r^2*\pi[/tex]

After substituting  [tex]r=5[/tex] we have:

                                           [tex]A=5^2*\pi \\A=25*\pi \\A=25\pi[/tex]

Convert [tex]25\pi[/tex] to a decimal and round it to the nearest tenth and we have:

⇒ 78.5398163397

78.6

After calculating we have found that the area of the circle is either 25π or 78.6 (rounded to the nearest tenth).

After finding all the required information, we have now completed the answer.


Related Questions

A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a
delivery fee of $3 per bushel. Supplier B sells B the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week.
Which supplier would cost more if the production company bought 500 bushels of grain each week?
O Supplier B would cost $625 more than supplier A.
© Supplier B would cost $600 more than supplier A
O Supplier A would cost $875 more than supplier B.
© Supplier A would cost $800 more than supplier B.

Answers

Subtraction is a mathematical operation that reflects the removal of things from a collection. Supplier B would cost $625 more than supplier A. Thus, the correct option is A.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The cost of 500 bushels from supplier A will be,

Cost = ($5.25 × 500) + ($3 × 500)

        = $4,125

The cost 500 bushes from supplier B will be,

Cost = $1,500 + ($6.250×500)

        = $4,750

Now, the difference between the two suppliers' costs for 500 bushels will be,

Difference = $4,625 - $4,125 = $500

Hence, Supplier B would cost $625 more than supplier A. Thus, the correct option is A.

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One number is 6 more than twice the other number. If the sum of the two numbers is ​21, find the two numbers

Answers

Answer:

One number, let's call it x, is 6 more than twice the other number, let's say this number is y.

x= 2y+6

x+y=21

We're left with a system of equations.

If we substitute the first equation in the second we find the value of y.

(2y+6)+y=21

3y+6=21

3y=15

y=5

Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.

x+ (5)=21

x=16

Now to check if our answers are correct, we plug in both values into any equation and see if they equate.

x+y=21

(16)+(5)=21

21=21

Our solution is correct!

given triangle PQR with QR = 8, PQ = 6, and m p = 90 degrees, which of the following choices is used to determine m r

Answers

The value of the angle R in the right triangle PQR is sin⁻¹ 6 / 8

The situation forms a right angle triangle.

How to find an angle in a right triangle?

The angle R can be found as follows:

using trigonometric ratios,

sin R = opposite / hypotenuse

Therefore,

opposite sides = 6

hypotenuse = 8

sin R = 6 / 8

R = sin⁻¹ 6 / 8

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Select all the functions that show an inverse variation...
a) y=6x
b) y=3/x
c) y=1/3x
d) y= -.07x
e) y= 2/x+4
f) xy=-3

Answers

Function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we know, when x is not equal to zero and k is a nonzero real number constant, the equation of the form xy = k describes the nonlinear function known as inverse variation.

a) y=6x

The above function is a linear function

b) y=3/x

or

xy = 3

The above function shows an inverse variation.

c) y=1/3x

or

y = (1/3)x

The above function is a linear function

d) y= -.07x

The above function is a linear function

e) y= 2/x+4

or

y = (2+4x)/x

xy = 2 + 4x

The above function shows an inverse variation.

f) xy=-3

The above function shows an inverse variation.

Thus, function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.

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What is the chance of landing on $500 and then Lose A Turn?

Answers

Answer:

B = an event that in the second turn it will land on Lose a Turn. Based from the given wheel, there are 24 equal parts with three $500 and one Lose a Turn. Thus, the probability of landing on $500 then lose a turn is 1921 .

this is possible IF thewheele consists of 24 parts

The chance of landing on $500 and then Lose A Turn will be 1/192. Then the correct option is C.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The diagram is given below.

The total number of the events will be

Total events = 24

Then the chance of landing on $500 will be

The number of favorable events will be

Favorable events = 3

⇒ 3/24

⇒ 1/8

Then the chance of the Lose A Turn will be

Favorable event = 1

⇒ 1/24

The chance of landing on $500 and then Lose A Turn will be

P = (1/24)(1/8)

P = 1/192

The chance of landing on $500 and then Lose A Turn will be 1/192.

Then the correct option is C.

The question was incomplete, but the complete question is attached below.

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please help
It is Ms. Smith’s birthday, and her students want to surprise her with a room full of balloons. Use the Fermi process to estimate the number of balloons needed to fill Ms. Smith’s classroom. Assume the classroom is a rectangular prism with a length of 38 ft, a width of 52 ft, and a height of 12 ft. Assume the balloons are spheres with a radius of 0.35 ft. Show your work.

Answers

The number of balloons needed to fill the classroom are  46240 balloons (approx)

Concept: Fermi process is the technique that helps to formulate an answer to a problem based on a series of logical assumptions.

No. of balloons = Volume of rectangular prism/ Volume of each sphere (balloon)

Given: The classroom is a rectangular prism with a length of 38 ft, a width of 52 ft, and a height of 12 ft, and the balloons are spheres with a radius of 0.35 ft.

No. of balloons = Volume of rectangular prism/ Volume of each sphere (balloon)

No. of Balloons = 38*52*12/3.14*0.35*0.35*(4/3)

No. of Balloons = 23712/0.5128 = 46240 balloons (approx)

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Which of the binomials below is a factor of this trinomial? x2+12x+31
A. x+4 B.x-2 C. x+2 D. x-4

Answers

(x+4) is a factor of this trinomial given , Option A is the right answer.

What is a Factor ?

A factor is a number o expression that completely divides the number or the expression and the remainder is equal to zero.

The given trinomial is

x² +12x+32

x² + 8x +4x +32

x(x+8)+4 (x+8)

(x+8)(x+4)

From the given option Option A (x+4) is the right answer.

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What is the simple interest that is missing from the table? Use the formula mc012-1.jp




$375
r
2.2%
t
3 years
$25.00
$24.75
$2,475.75
$2,500.00

Answers

The simple interest is $24.75.

What is the simple interest?

The simple interest that is paid on an amount of money is a function of the amount deposited, time and interest rate.

Simple interest = amount deposited x time x interest rate

$375 x 0.022 x 3 = $24.75

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Which of the following have exactly 1 solution?
Choose all answers that apply.
A. -5x + 12 = -12x - 12
B.-5x+12=-5x-12
C. −5x+12=5x+12
D. −5x+12=5x−5

Answers

The equations;

-5x + 12 = -12x - 125x+12=-5x-12−5x+12=5x+12−5x+12=5x−5 all have exactly 1 solution.

What is a linear solution?

A linear equation is one in which there is only one solution. In a linear solution, the highest power of x is 1.

If we look at the equations listed, we will discover that they are all linear equations, as such;

-5x + 12 = -12x - 125x+12=-5x-12−5x+12=5x+12−5x+12=5x−5

Will all have exactly 1 solution.

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1. Choose the description that matches the inequality. x < 1
A line traveling to the left with an closed dot on x=1.
A line traveling to the right with an open dot on x=1.
A line traveling to the right with an closed dot on x=1.
A line traveling to the left with an open dot on x=1.

Answers

Answer:

A line traveling to the left with an open dot on x=1.

Explanation:

The inequality x < 1 basically means "less than 1." On number lines, the further left you go, the smaller the number becomes, and the further right you go, the larger the number becomes. So we know that because it's less or smaller than 1, then the line will be to the left. On the other hand, the inequality does not have a line under it to indicate a "less than or equal to 1," just "less than." Therefore, the dot is open. If there were a line under the inequality, then it would indicate "less than or equal to 1" and the dot would be closed.

if pound of cheese costs $3.43, what is the cost per pound?
PLS HELP

Answers

Answer:

can you rephrase it? how many pounds are there?

Step-by-step explanation:

what does ([tex](x^{2}+4x)(x)[/tex] equal

Answers

the first definition of an element was made by

students were asked to chose their favorite season if 1/9 of the students chose spring and 3/9 chose summer what fraction chose either spring or summer

Answers

Answer:

4/9 of the students chose summer.

Step-by-step explanation:

Think about it this way. There are 9 students being asked what their favorite season is. 1 chose spring, 3 chose summer. Add those together, and you have 4 people that chose either spring or summer. That number goes on top of the fraction. The total amount of people that were asked goes on the bottom, which is 9.

What is the solution for the equation 36³-26²-5 6³-2
36²-26²-5-6²²-2²


Answers

Answer:

b = 0 and b = 4

Step-by-step explanation:

[tex]\frac{5}{3b^3-2b^2-5}[/tex] = [tex]\frac{2}{b^3-2}[/tex] ( cross- multiply )

2(3b³ - 2b² - 5) = 5(b³ - 2) ← distribute parenthesis on both sides

6b³ - 4b² - 10 = 5b³ - 10 ( subtract 5b³ from both sides )

b³ - 4b² - 10 = - 10 ( add 10 to both sides )

b³ - 4b² = 0 ← factor out b² from each term on the left side

b²(b - 4) = 0

equate each factor to zero and solve for b

b² = 0 ⇒ b = 0

b - 4 = 0 ⇒ b = 4

What is the value of K ?

Answers

Answer:

the answer is A K= -2.5

Step-by-step explanation:

i did the problem

5 positive integers that have a mode of 2, a median of 5, a mean of 6 and a range of 10.

2,2,5,9,12

Answers

The numbers should be 2, 2, 5, 9 and 12.

What is mean, mode and median?

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.

The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Let us take numbers 2, 2, 5, 9 and 12.

Mean = 192+2+5+9+12)/5

mean = 30/5

mean= 6

mode = 2

median = 5

range = 12-2

range = 10.

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Find the x-intercept(s) and the coordinates of the vertex for the parabola y= x^2 -8x + 12. if there is more than one x-intercept, separate them with commas.

Answers

Answer:

(i) x-intercepts: (2, 0), (6, 0)

(ii) vertex : (4, -4)

Explanation:

y = x² - 8x + 12

To find x intercepts, [set y = 0]

x² - 8x + 12 = 0x² - 2x - 6x + 12 = 0x(x - 2) - 6(x - 2) = 0(x - 6)(x - 2) = 0x = 6, x = 2

x-intercepts: (2, 0), (6, 0)

To find vertex:

x = -b/2a

  = -(-8)/2(1)

  = 4

y = x² - 8x + 12

  = 4² - 8(4) + 12

  = -4

Vertex : (4, -4)

Solve the equation for y=0

x²-8x+12=0x²-6x-2x+12=0x(x-6)-2(x-6)=0(x-2)(x-6)=0x=2,6

X inetercepts (2,0) and (6,0)

Vertex :-

x coordinate

-b/2a8/24

Y coordinate

4²-8(4)+12-4

Verted at (4,-4)

whats 27 x 300 / 34 x 6

Answers

Answer:

Use Calculator:

Approximately. 1429.411

Step-by-step explanation:

Hope it Helps!!!

Find the value of x
Find the value of y

Answers

Answer:

x = 9

y = 61

Step-by-step explanation:

let me know if you want an explanation!

Let x be normal distribution with mean 70 and standard deviation 2. given the following probability, p (x < a) = 0.9147, find the value a.

Answers

The value of a is 72.74.

What is Probability ?

Probability is the study of likeliness of an event to happen.

It is given that

The mean [tex]\rm \mu[/tex] of the distribution is 70

Standard deviation [tex]\rm \sigma[/tex]  is 2

p( x<a) = 0.9147

a = ?

From Z table

For p ( p < 0.9147) , z = 1.37

[tex]\rm Z = \dfrac { X - \mu}{ \sigma}[/tex]

[tex]\rm \rm 1.37 = \dfrac { a - 70}{ 2}[/tex]

a = 70+ 2*1.37

a = 72.74

Therefore the value of a is 72.74.

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If f (x) = one-ninth x minus 2, what is ?
A.
B.
f - 1 Baseline (x) = one-ninth x + 2
f - 1 Baseline (x) = -2 x + one-ninth
Please see picture: helpppppp

Answers

Answer:

1st option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = [tex]\frac{1}{9}[/tex] x - 2 ( add 2 to both sides )

y + 2 = [tex]\frac{1}{9}[/tex] x ( multiply both sides by 9 to clear the fraction )

9(y + 2) = x

9y + 18 = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 9x + 18

Answer: A

Step-by-step explanation:

GOT IT RIGHT ON EDG TEST

What is the quotient of the synthetic division problem below, written in
polynomial form?
3 -2 15
-22
-16
A.2xd 121xr 41
B=
2,219x15
C. 2y 1 9g
40
D
2y7 - 21x 40

Answers

The quotient of the synthetic division problem is "f(x) = -2x² + 9x + 5" (Option C).

What is Synthetic Division?

When a polynomial division is executed using the shorthand method, using a linear factor, one is  said to have executed a Synthetic Division.

The synthetic division translates to

- 2 15 -22 -15

3 | -6 27 15

-2 9 5 0

Citing the coefficient of the quotient of the first three numbers:

- 2, 9, 5. The last number is given as the remainder.

Hence the remainder is zero.

Given that the coefficient of the quotient are three, the interpretation is that the polynomial greatest degree is 2.

Thus,

f(x) = -2x² + 9x + 5

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Given the equation y = x – 2, you substitute 5 for x. Check all true statements below.

Answers

The correct value of the given function at x = 5 is y =3.

What is Equation?

An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.

Here, the given equation :

         y = x - 2

put x = 5 in the given equation, we get

        y = 5 - 2

        y = 3

Thus, the correct value of the given function at x = 5 is y =3.

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On a coordinate plane, the x-axis is labeled minutes and the y-axis is labeled Blocks. Line A goes through points (10, 4), (15, 12), and (20, 20). Line B goes through points (5, 8), (10, 16), (15, 24). Line C goes through points (5, 24), (15, 16), (20, 12).
The table shows Jose’s rate of bicycle riding.

A 2-column table with 3 rows. Column 1 is labeled Minutes with entries 5, 10, 15. Column 2 is labeled Blocks with entries 8, 16, 24.

Which line on the graph shows the proportional relationship in the table?

Line
on the graph shows the proportional relationship.

Answers

Answer:

wait lang yong tppp heheehhehe

Answer:

b is the awancer yw

Step-by-step explanation:

Which best describes the orthocenter of a triangle?
O A The point where the three altitudes of the triangle intersect
O B. The point where the three angle bisectors of the triangle intersect
• C. The point where the perpendicular bisectors of the three sides of
the triangle intersect
O D The point where the three medians of the triangle intersect

Answers

Answer:

its A

Step-by-step explanation:

Its a because its A =)

Which quadratic inequality does the graph below represent?

Answers

The quadratic inequality represented by the graph is:

y ≤ 2x² - 8x + 3

Which quadratic inequality does the graph below represent?

First, we can see that the shaded region is below the parabola, and the line of the parabola is solid, which means that the points on the parabola are solutions, then the inequality is:

y ≤ quadratic equation.

Now we need to get the quadratic equation.

Now, if you look at the y-intercept, you can see that it happens at y = 3. Then the constant term of the quadratic equation is 3.

The only one that has that (and the  ≤  symbol)  y-intercept is the first option:

y ≤ 2x² - 8x + 3

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A running relay team ran a 400 meter race in a record-setting time of 36 seconds. What was their average speed to the nearest tenth of a meter per second?

Answers

distance = speed x time
speed = distance/time
time = distance / speed

400m/36s = 11 1/9 m per second

HELP!!
Which compound inequality is represented by the graph?
-5-4-3-2-1 0 1 2 3 4 5

O-2 0-2 ≤x≤4
O x < -2 or x ≥ 4
O x≤-2 or x > 4

Answers

Answer: Choice C

[tex]x < -2 \text{ or } x \ge 4[/tex]

==========================================

Reason:

The portion on the left represents [tex]x < -2[/tex] because of the open circle at -2 and shading pointing to the left. This represents all numbers smaller than -2.

The portion on the right represents all values that are 4 or larger; hence [tex]x \ge 4[/tex]. Note the use of a closed circle at 4 to include this value.

We connect those two inequalities with the keyword "or" because x can only pick one of those options, but not both at the same time.

Which ordered pair makes both inequalities true?

y < –x + 1

y > x

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.





(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)

Answers

Answer:

The ordered pair which makes both the inequalities true is = (–2, 2)

Step-by-step explanation:

inequalities are the relationships between two expressions which are not equal to one another.

Inequalities are represented by the following relations:

≤: "less than or equal to"<: "less than"≠: "not equal to">: "greater than"≥: "greater than or equal to"

an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

so, the option B(-2,2) satisfies  the inequalities expressions given in the question

therefore we can conclude that (-2,2) is the ordered pair which ,makes both the given inequalities true.

so the correct answer is (-2,2)

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brainlist kopo yung nag answer ng tama

I. Answer each question. Write the letter of the correct answer in your paper.
Read and analyze the following problems carefully. Then, write your answer on a separate sheet of paper.

_____1. In a given circle, the radius is 9 cm. What is its diameter?


A. 18 m
B.18 cm
C. 4.5 m
D. 4.5 cm

_____2. Which of the following is the formula in solving for the area of a circle?


A. A= 2πr
B. A= πr2
C. A= πd
D. A=2 πr2

_____3. The diameter of a circle is8 cm, what is its area?


A.50.24 cm2
B.200.96 cm2
C.25.12 cm2
D.100.48 cm2

_____4. What is the radius of a circle if the area is 36m2?


A. 0.339 m
B. 3.39 m
C. 33.9 m
D. 339m
_____5. What is the area of a circle if the radius is 5m?


A. 15. 7 m2
B. 31.4 m2
C. 78.5 m2
D. 157 m2

Answers

Detailed Answers:

1) B) 18 cm

Radius (r) = 9 cm
Diameter (d) = 2r = 9 * 2 = 18 cm

2) B) A = πr^2

3) A) 50.24 cm^2

Diameter (d) = 8 cm
Radius (r) = d/2 = 8/2 = 4 cm

Area (A) = πr^2

Therefore,
= πr^2
= 3.14 * 4 * 4
= 3.14 * 16
=> 50.24

Area (A) = 50.24 cm^2

4) B) 3.39 m

Area (A) = πr^2 = 36 m^2

Therefore,
πr^2 = 36
3.14 * (r^2) = 36
r^2 = 36/3.14
r^2 = 3600/314
r^2 = 11.46
r = √11.46
=> r = 3.39

Radius (r) = 3.39 m

5) C) 78.5 m^2

Radius (r) = 5 m

Area (A) = πr^2

Therefore,
= πr^2
= 3.14 * 5 * 5
= 3.14 * 25
=> 78.5

Area (A) = 78.5 m^2
Other Questions
help me please In "Do Not Go Gentle into That Good Night, the speaker emphasizes that older men should fight fiercely against death. The setting is the time when the father of the speaker was approaching his death.The conflict of the poem surrounds the end of life and the resistance to death. In the poem, Thomas began with the second-person point of view.In "The Charge of the Light Brigade", is a poem about a failed military action that involved British light calvary. The setting was during the Crimean war. The theme is about bravery, duty, and sacrifice. n the biblical story of David and Goliath, David, the hero of the Israelites, defeats a fearsome giant.Based on what you know about the Crimean War, who does the giant in this cartoon represent? PLEASE ANSWER ASAP!!!!!!!a = and b =.Represent a +b using the head-to-tail method.Use the Vector tool to draw a and b , complete the head-to-tail method, and draw a +b To use the Vector tool, select the initial point and then the terminal point.(please give picture of graph) would cause evolutionary change in animal populations that colonize a new environment as its conditions differ from those found in their home? Where is Mount Everest located? how did technology has changed from the Boomers until now Consider figures 1 and 2 shown on the coordinate plane. Figure 1 has been transformed to produce figure 2. Graph shows 2 quadrilaterals plotted on a coordinate plane. Quadrilateral 1 in quadrant 1 has vertices at (1, 3), (2, 5), (5, 5), (5, 3). Quadrilateral 2 in quadrant 4 has vertices at (1, minus 3), (5, minus 3), (5, minus 5), (2, minus 5). Describe the transformation. This transformation can be described by? 4. The volume of a sphere is (4.0/3.0)rr3 and the surface area is 4.0rr2, where r is the radius ofthe sphere. Given the radius, design an algorithm that computes the volume and surface area ofthe sphere. (You may assume that T-3.141592) (Exercise#17) Which example shows a form of harassment caused by gender roles?A. Tommy pushes Fred down because Fred took his backpack.B. Simon calls Trevor a "sissy" because he cried during a sad movie.C. Alan calls someone who appears Middle Eastern a "raghead."D. July yells at Christine that she is "going to hell" because she is not a Christian. Let the numbers below represent the lengths of the sides of a triangle. Which of the triangles is a right triangle?I. 4, 5, 6II. 6, 8, 10III. 5, 13, 14IV. 7, 11, 13A IB IIC IIID IV The selling price of an article is Rs 270. If the article was sold at 10 % discount from the marked price, find the marked price. Which term refers to a shorthand method for identifying network and host bits in an ip address? three main factors that affect stroke volume and how each impacts cardiac output if that factor is increased? Why does Odysseus choose to go on Scylla's side of the strait? Answer in complete sentences. I (do) this sort of work when I (be) an apprentice. ASAP HURRY Drag the descriptions of each investment in order from which will earn the least simple interest to which will earn the most simple interest.from least to greatest please help: investment of 1,200 at a 12% interest rate for 5 years, investment of 1,200 at a 12% interest rate for 9 years, and a investment of 1,200 at a 6% interest rate for 9 years. A field identified in a record as holding the unique identifier for that record is called the:: Please select the word from the list that best fits the definitionRock that is formed from the remains of older rocks and organismsSuper positionRadioactive datingSedimentaryIgneousMetamorphicRock Cycle Need ASAP please and thank you To interpret the theme in a story,reader should study____