Robin tosses a pair of 6-sided dice. The odds in favor of the sum of the 2 dice rolls being greater than 8 are 5:13.
What is the probability that the sum of the 2 dice rolls will not be greater than 8?

Answers

Answer 1

The probability that the sum of the 2 dice rolls will not be greater than 8 are 8 : 13.

How to evaluate for the probability

When the probability of an event occurring is know, it is easy to calculate the probability that the event does not occur. Hence, If P(A) is the probability of event A, then 1 - P(A) is the probability that the event does not occur.

the probability that the sum of the 2 dice rolls being greater than 8 are expressed in the ratio 5:13 and expressed in fraction as 5/13

then;

probability that the sum of the 2 dice rolls will not be greater than 8 = 1 - 5/13

probability that the sum of the 2 dice rolls will not be greater than 8 = (13 - 5)/13

probability that the sum of the 2 dice rolls will not be greater than 8 = 8/13

Therefore probability that the sum of the 2 dice rolls will not be greater than 8 can be expression as the ratio 8 : 13

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Related Questions

helppppppppppppp pleaseeeee

Answers

Answer:

e = 54

f = 20

d = 106

Step-by-step explanation:

Opposite angles are the same. Also, straight lines always equal 180 degrees.

Hope that this helps!

Which of the following increases at the fastest rate for larger values of x?
a) f(x)=6^x+1
b) f(x)=6x^2+1
c) f(x)=6x+1
d) f(x)=6x^3+1

Answers

Answer:

Option d

d) f(x)=6x^3+1

Step-by-step explanation:

Given data

a) f(x)=6^x+1

b) f(x)=6x^2+1

c) f(x)=6x+1

d) f(x)=6x^3+1

In all option d is the function that increases at the fastest rate, this is because the  power of x is the highest

Answer:

Option d

d) f(x)=6x^3+1

Step-by-step explanation:

Given data

a) f(x)=6^x+1

b) f(x)=6x^2+1

c) f(x)=6x+1

d) f(x)=6x^3+1

In all option d is the function that increases at the fastest rate, this is because the  power of x is the highest

Step-by-step explanation:

Which function has zeros at x=23 and x=−4?

Answers

Answer:

g(x) = a(x - 23)(x + 4)

Step-by-step explanation:

Weren't there possible answer choices to share?

if this function has zeros at 23 and -4, then the function has the following form:

g(x) = a(x - 23)(x + 4)

Which is equal to 100%?

A. 0.001
B. 1/100
c. 0.1
D 1/10

Need ASAP

Answers

Answer:

1/100

or we can say 100/1

WILL GIVE BRAINLIEST!!!!


How are you doing today?
(This is for a survey for a class) We are learning percentages.

Answers

Answer: Hope This Helps!

Step-by-step explanation:

Im doing good today. And I hope you have a good rest of the day!

What is the percent of change if the price changes from $150 to $100? Round to the nearest whole percent if necessary.

Answers

Answer:

Percentual change= 33.33% decrease

Step-by-step explanation:

Giving the following information:

Present value (PV)= $150

Future value (FV)= $100

To calculate the percentual change, we need to use the following formula:

Percentual change= [(PV - FV) / PV]*100

Percentual change= [(150 - 100) / 150]*1''

Percentual change= 0.3333*100

Percentual change= 33.33% decrease

Find the area of the shaded region in the above sided figure. Take  = 3.14

Answers

Step-by-step explanation:

The Radius of the larger semi circle = [tex]\frac{12}{2}[/tex] = [tex]6[/tex][tex]cm[/tex]

Area of the 2 larger semi Circles = [tex]\frac{\pi r^{2} }{2}[/tex][tex]X2[/tex]

                                                  = [tex]\frac{3.14X(6)^{2} }{2} X 2[/tex]

                                                   = [tex]\frac{113.04}{2} X2[/tex]

                                                    = [tex]113.04[/tex] [tex]cm^{2}[/tex]

Radius of the smaller semi circle = [tex]\frac{5}{2} = 2.5cm[/tex]

Area of the smaller semi circle = [tex]\frac{\pi r^{2} }{2}[/tex][tex]X2[/tex]

                                                    = [tex]\frac{3,14X(2.5)^{2} }{2} X 2[/tex]

                                                     = [tex]196.25[/tex][tex]cm^{2}[/tex]

Combined Area = [tex]113.04 + 196.25[/tex]

                           = [tex]309 . 29cm^{2}[/tex]

Points p and q are negative integers plotted on a number line. If |p| > |q|, which statement is true?
A. Point p is closer to 0 than point q, and to the right of point q.
B. Point p is closer to 0 than point q, and to the left of point q.
C. Point p is further from 0 than point q, and to the right of point q.
D. Point p is further from 0 than point q, and to the left of point q.

Answers

Point p is further from 0 than point q, and to the left of point q.

The correct option is D.

What is an absolute value?

The absolute value of a number is the distance value from zero without considering the sign of a number. It is also represented as |x|, where x is any number.

Given:

Points p and q are negative integers plotted on a number line.

And |p| > |q|.

That means,

The absolute value of p is greater than the absolute value of q.

|p| and |q| are the positive integers.

So, p < q.

So, the q is closer to zero.

And p is left to point q.

Therefore, the q is closer to zero and p is left to point q.

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On Friday, 134 MP3s were downloaded from an online music store. Of the 73 country songs. 52 were downloaded by women. Of the 61 alternative
songs. 47 were downloaded by men.
a. Make a two-way frequency table for the data.
b. What is the joint relative frequency of men who downloaded a country song?
c. What is the marginal relative frequency of people who downloaded an alternative song?

Answers

Answer:

13

Step-by-step explanation:

Each boy in a class has 11 pockets and each girl in the class has 13 pockets. How many boys and how many girls are in this class if all 21 students have a total of 251 pockets? Please answer ASAP and please no links.

Answers

Answer:10 girls and 11 boys

Step-by-step explanation:

The half-life of a certain radioactive material is 85 days. An initial amount of the material has a mass of 801kg. Write an exponential function that models the
decay of the material.

Answers

Answer:

m(t) = 801 * (1/2)^(t/85)

Step-by-step explanation:

m(t) = 801 * (1/2)^(t/85)

m(t)  is the mass after t days

Mrs. Knight is saving money for a trip. She already has some money saved in 1 point

her savings account and will add the same amount to her account each

week. At the end of 2 weeks, she has $130. At the end of 8 weeks, she has

$280. Write a linear function to represent the amount of money (y)

Mrs. Knight has saved after x weeks

Answers

The equation of line is given by y = 25x + 80.

What is an equation of a line?

The equation of a line is expressed as y = mx + b where m exists the slope and b exists the y-intercept

y - y₁ = m ( x - x₁ )

Where, y be the y-coordinate of second point

y₁ be y-coordinate of point one

m be the slope

x be the x-coordinate of second point

x₁ be the x-coordinate of point one

Let the equation of slope m be

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Equation of line be represented as A

The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )

The slope of the line between the two points exists given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 280 - 130 ) / ( 8 - 2 )

simplifying the above equation, we get

m = 150 / 6

m = 25

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 130 = 25 ( x - 2 )

On simplifying the equation , we get

y - 130 = 25x - 50

Adding 130 on both sides , we get

y = 25x + 80

The equation is of the form y = mx + b where b is the y intercept.

Therefore, the equation of line is given by y = 25x + 80

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The equation of line is given by y = 25x + 80, this represent the linear function between the amount of money and the saved amount.

What is an equation of a line?

The equation of a line is expressed as y = mx + b where m is called the slope and b is called the y-intercept

y - y₁ = m ( x - x₁ )

Where, y be the y-coordinate of second point

y₁ be y-coordinate of point one

m be the slope

x be the x-coordinate of second point

x₁ be the x-coordinate of point one

Let the equation of slope m be

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Equation of line be represented as A

The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )

The slope of the line between the two points exists given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 280 - 130 ) / ( 8 - 2 )

simplifying the above equation, we get

m = 150 / 6

m = 25

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 130 = 25 ( x - 2 )

On simplifying the equation , we get

y - 130 = 25x - 50

Adding 130 on both sides , we get

y = 25x + 80

The equation is of the form y = mx + b where b is the y intercept.

Therefore, the equation of line is given by y = 25x + 80

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A laboratory uses liquid nitrogen tanks of two different sizes. The combined volume of 3 large tanks and 2 small tanks is 24 liters. The combined volume of 2 large tanks and 3 small tanks is 21 liters. What is the volume of each size of tank? JUSTIFY YOUR ANSWER.

Answers

The size of the large tank is 6 liters and the size of the small tank is 3 liters.

What is the size of each type of tank?

The first step is to form a system of equations using the information provided in the question:

3l + 2s = 24 equation 1

2l + 3s = 21 equation 2

Where:

l = volume of the large tank s = volume of the small tank

The elimination method would be used to solve the equations:

Multiply equation 1 by 2 and equation 2 by 3:

6l + 4s = 48 equation 3

6l + 9s = 63 equation 4

Subtract equation 3 from equation 4:

5s = 15

Divide both sides of the equation by 5

s = 15 / 5

s = 3 liters

Substitute for s in equation 1 :

3l + 2(3) = 24

3l + 6 = 24

3l = 24 -  6

3l = 18

l = 18 / 3

l = 6

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Find the gradients of lines A and B.

Answers

Answer: The Gradient of line A and B are

2 and -1

Step-by-step explanation:

For the given two points A(x1, y1) and B(x2, y2)

The gradient of the line AB is y2-y1/x2-x1

So the gradient of line A is

5-1/2-0

2

the gradient of line B is

5-0/0-5

-1

Mattie is twice as old as Pat. Jon is twice as old as Mattie. In 4 years the sum of their ages will be 61. How old is each person?

Answers

Answer:

Let's mark Pat's age is x. Then Mattie's age is 2x and Jon's age is 4x.

So (x + 4) + (2x + 4) + (4x + 4) = 61.

7x + 12 = 61 => 7x = 49 => x = 7.

So the answer is

Pat = 7

Mattie = 14

Jon = 28

The ages of Pat, Mattie, and Jon are as follows: 7 years, 14 years & 28 years.  

If we take Pat's age as = 'x' years,

so, Mattie's age will be = '2x' years.

and then, Jon would be = 2(2x)

                                        = '4x' years.

Now, the sum of their ages after 4 years =

 => (x+4) + (2x+4) + (4x+4) = 61

 => 7x+12 = 61

 => 7x= 61-12

 => 7x= 49

 => x= 49/7

 => x = 7

Therefore, Pat's age is  = 7 years.

              Mattie's age is = 14 years (2×7).

                  Jon's age is = 28 years (4×7).

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Line C passes through the points (-3,-6) and (-1,-12). What is the slope of the line perpendicular to the line C

Answers

Answer:

The slope of the line perpendicular to the line C is 1/3.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-12-(-6))/(-1-(-3))

m=(-12+6)/(-1+3)

m=-6/2

m=-3

perpendicular lines have negative reciprocal slopes.

PLZ HELP ME QUICK!!

Does the data provide convincing statistical evidence that at women pay more than men for the same catalytic converter repair?

Answers

Answer:

Yes the data provide convincing statistical evidence that at women pay more than men for the same catalytic converter repair

A fifth grader takes a standardized achievement test (mean = 125, standard deviation = 15) and
scores a 148. What percent of children made higher than a 148?

Answers

the child's percentile rank is 93 th percentile. It means he performed better than [tex]$93 \%$[/tex]of the total number of students.

What is Percentile rank?When compared to other students in the same grade and topic, for instance, a student's percentile rank shows how well they performed. The percentile rank of a student indicates whether their score was on par with or higher than that of the norm group's percentage of pupils. In statistics, the percent of scores in a frequency distribution that are lower than a specific score is known as the percentile rank of that score. A percentile rank returns a numerical value, which really indicates the proportion of people who fall inside that range. Since it is a percentile, its range is always between 1 and 99, with 50 serving as its mean or average rank. Only normalized values or data are ever usable in this fashion.

- Mean, $\boldsymbol{\mu}=125$.- Population standard deviation, $\sigma=15$.- Marks obtained by child $(X)=148$

Need to find the percentile rank for child's score.

Let[tex]$\mathrm{X}$[/tex]denote marks obtained by the child in the achievement test.

The [tex]$\mathrm{Z}$[/tex]value is given as,

[tex]$$Z=\frac{X-\mu}{\sigma}$$[/tex]

Using equation (1), the required percentile rank for child's score is expressed as,

[tex]& Z=\frac{148-125}{15} \\[/tex]

[tex]& Z=1.533[/tex]

The probability value corresponding to the Z=1.533, obtained from the Z table is 0.93736.

Thus, the percentile is 0.93736.

Therefore, the child's percentile rank is 93 th percentile. It means he performed better than [tex]$93 \%$[/tex]of the total number of students.

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HELP HELP HELP I WILL BRAINLIEST U

Answers

Answer:

2x+3y-(-4x+3y)=6-12

2x+3y+4x-3y. =-6

6x. = -6

X=-1

no

Answer:

No

Step-by-step explanation:

So, lets go over what we know:

Our x and y values are (0,2)

This means:

x=0

y=2

Lets plug these in for each equations:

2x+3y=6

=

2(0)+3(2)=6

=

0+6=6

=

6=6

So thie first equation is correct.

But we dont know if the second one will check out yet!

Lets plug our values in once more, only on the second equation instead of the first:

-4x+3y=12

=

-4(0)+3(2)=12

0+6=12

6=12

Uh oh...Thats not right.

So this means that (0,2) is not a solution to both equations.

Answer:

No

Hope this helps! :D

Claire keeps track of the miles per gallon her car gets per week. She has accumulated the following data: (1, 22.42), (2, 22.84), (3, 23.26), (4, 23.68) What is the common difference or ratio

Answers

The common difference is 0.42. The comparison of each ratio's successive values over time for a single firm.

Now, According to the question:

What is meant by ratio?

When expressed in numbers or amounts, a ratio is a relationship between two things. For example, if a room contains ten boys and thirty girls, the boy-to-girl ratio is 1:3, or one to three.A ratio, or getting rationed, on the occurs when replies to a tweet vastly outnumber likes or retweets. This means that people are reacting negatively to the tweet's content.It usually means that your comment has received more replies than likes. This implies that there are more people who disagree with your comment than agree with it.

Therefore, simplifying the equation then we get,

if you take the ranges (y) and subtract one from the other you get 0.42.

(22.84 - 22.42)/(2 - 1) = 0.42/1 = 0.42

(23.26 - 22.84)/(3 - 2) = 0.42

(23.68 - 23.26)/(4 - 3) = 0.42

Hence, The common difference is 0.42

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L)
express the given in terms os sin x or cos x

sin ( 4pi - x )

how

Answers

The value of sin(4π-x) is -sinx

What are trigonometric functions?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given that, express the given in terms of sinx or cosx sin (4π-x)

sin(4π-x) = sin(2π+2π-x)

We know, that, sin(a+b) = sina·cosb+sinb·cosa

Here, a = 2π and b = 2π-x

Therefore,

sin(2π+2π-x) = sin2πcos(2π-x)+sin(2π-x)cos2π

Now, sin2π = 0 and cos(2π) = 1

Therefore,

sin2πcos(2π-x)+sin(2π-x)cos2π

= sin(2π-x)

As we know that, sin(2π-x) = -sinx

Hence, sin(4π-x) = -sinx

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expand this expression using the distributive property. 4(-2g+4-3t)

Answers

Answer:

-8g+16-12t is the answer

Step-by-step explanation:

multiply everything by 4

Is it a perfect square trinomial X² 10x 25?

Answers

Yes, it is a perfect square trinomial.

What is perfect squares?

Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."

The equation X² + 10X + 25 can be factored into (X + 5)²,

which is a perfect square trinomial. In general, a perfect square trinomial is any polynomial of the form A² + 2AB + B² where A and B are constants or variables.

This is because such a polynomial can be factored into (A + B)².

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Please Help?
The amount of rain 90 minutes after it started raining was the same as the amount 120 minutes after it started raining.

Answers

Answer:

ok, the correct answer should be R(1.5)=R(2)!

Step-by-step explanation:

I did this my class before!

Please help!
ponential functions are in the form y = a(b)'.
What values of b make it an exponential growth function?
What values of make b it an exponential decay function?

Answers

b>1 or (1,infinity)
0

For Drew’s week 1 classes identify the domain and range is the relation a function? Explain

Answers

From the table for Drew's week 1 classes:

Domain = {English, Math, History, Biology, Biology Lab}

Range = {60. 90, 45, 0}

What is domain and range?

A function's domain is the set of values that can be plugged into it. This set contains the x values in a function such as f. (x). A function's range is the set of values that it can take. This is the set of values that the function returns when we enter an x value. They are the y values.

A function can be thought of as a machine on an assembly line. On one end of the assembly line, there are a few screws and bolts, and on the other end, there is a car. The function is represented by the machine in the middle. The domain consists of the screws and bolts that we insert into the machine (our function).

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Find the area of the largest rectangle that can be inscribed in the ellipse x2 / a2 + y2 / b2 = 1.

Answers

The maximum area of the rectangle inside the ellipse is 2ab.

Given that,

Ellipse = x2 / a2 + y2 / b2 = 1

we know the general coordinates of any point in an ellipse of the equation

x2 / a2 + y2 / b2 = 1 is (acosθ,bsinθ)

So, we take general vertices of rectangles as

(acosθ,bsinθ), (acosθ,-bsinθ), (-acosθ,bsinθ), and (-acosθ,-bsinθ)

So, we can see that length and breadth of the rectangle is 2acosθ and 2bsinθ

So, its area will be ab4sinθcosθ (Length x Breadth)

Applying trigonometric formula 2sinθcosθ=sin2θ, let area equals to A

Now A=2absin2θ

Now as the area is the maximum given in the question, we have to differentiate it with respect to θ

dA/dθ=2abcos2θ×2 (using dsin2θ / dθ=2cos2θ)

Equating dA / dθ=2abcos2θ×2=0, it means cos2θ=0 , which means 2θ =  π / 2 and θ=π / 4

So now we to put θ=π / 4 in the equation of area which is A=2absin2θ

We get as A=2absin2π / 4=2absinπ / 2=2ab

Hence the max area of the rectangle inside the ellipse is 2ab.

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How can you solve inequalities explain and give an example?

Answers

To Solve the inequalities , we take the variables on a side and the numbers on the other side and then apply mathematical operations to solve it .

What is Inequality ?

The Inequality is defined as a relationship between two values that are not equal to each other .

The method of solving the inequalities is a little different than solving equations.

To solve the inequalities, some simple rules should be followed .

(i) The inequality does not change if any number or variable is added or subtracted from both sides.

Similarly, the value of inequality is not affected if the same number is multiplied on both the sides.

(ii) If the inequality is divided by a negative variable or number on both  sides, then the inequality sign gets reversed.

(iii) On dividing inequality by a positive number, there is no change.

For Example : Solve the inequality [tex]4x+6 > 3x+7[/tex] ;

subtracting [tex]3x[/tex] from both the sides ,

we get ;

[tex]x+6 > 7[/tex],

Now subtracting [tex]6[/tex] from both sides of the inequality;

we get ;

[tex]x > 1[/tex] .

Therefore , the solution of the inequality [tex]4x+6 > 3x+7[/tex] is [tex]x > 1[/tex] .

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difference between -0.4 and 44.4

Answers

Answer:

44.8

Step-by-step explanation:

44.4 - (-0.4) = 44.8

Identify whether this angle is acute, obtuse, right, or straight.

an angle that measures about one hundred thirty seven degrees

Acute
Obtuse
Right
Straight

Answers

It’s obtuse as it’s bigger that 180
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What strategic plan could you give to a business to fill vacant positions? What advice could you give to a business to retain employees? Explain your reasoning.? write the slope intercept form of the equation of the line through (2,1) and (4,5) Since Finding Nemo came out in theaters, there has been an increased demand for pet clownfish. Now marine biologists are noticing that the sea anemone population is also decreasing. What can we do to help build up the sea anemone population? Explain why your solution would help 6 10 14 18 22 26 30, what comes next in the series Which of the following is not true about the Battle of Antietam?a. The Confederates lost their chance of getting help from the Britishb. it was the first major Union victoryc. The Confederates were forced to retreat from Marylandd. Robert E. Lee defeated George B. McClellan 4 Historical Event: Mary and her husband, William of Orange, were offered the throne.Resulting Action or Document:Effect on Democracy: 7. Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 2 1 2 4 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1 5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 1 2 3 a. Determine frequencies and relative frequencies for the observed values of x 5 number of nonconforming transducers in a batch. b. What proportion of batches in the sample have at most five nonconforming transducers There is a 10% chance of rain tomorrow a spinner with 10 sections is spun to simulate the probability of rain where spinning a 1 indicates rain if the results are 3,6,1,8 and 3, then what is the difference in the experimental probability from the simulation and the prediction What word means "giving rights to"?I do not want an answer in a file. i need help on the last two questions please !! PLEASE HELP!!!!!!!!! With 9, 10 and 11 PLEAS ANSWER QUICKLY I NEED HELP!!! I'LL PUT BRANIEST IF YOU HAVE THE BEST ONE Summarize the Empire of Mali in 4-5 sentences: Which activity could trigger primary succession?a destructive hurricanea sweeping forest firea mining expeditiona volcanic eruption Protists Arcoistic Poem (plz help)PROTIST Which of the following entries would be made as the result of the revenue recognition principle? O A. Service Expense 1,000 Service Revenue 1,000 O B. Salaries Expense 1,000 Accounts Payable 1,000 O C. Accounts Receivable 1,000 Service Revenue 1,000 O D. Depreciation Expense 1,000 Accumulated Depreciation 1,000 What is also known as neutralization? 1. Acid-base 2. Redox 3. Precipitation Complete this sentence. When a person undertakes a mission, he or she __________. (BRAINLIEST) Ed needs data that can be modeled with a linear function. Which situation would give him the data he needs?A. the area of a square and the length of its sideB. the area of a circle and the length of its radiusC. the volume of a cylinder and the length of its radiusD. the perimeter of a square and the length of its side Which of the following describes the type of topographic feature best suited for grain agriculture?Question 2 options:Small plots of land on southwestern plateaus of North AmericaTerraced fields in mountainous areas of South AsiaLarge fields in flat plains of central Europe and North AmericaHilly regions such as those found in Northern IrelandHillsides in Southeast Asia please help me form my equations