12. The traffic warning sign below has a triangle shape with base of 18 inches,
The value of the area of the triangle (half base times altitude), in square inches, is
an irrational number. The number that represents the altitude of the triangle must
. Select the best answer to fill in the blank.
be
A A whole number
B A rational number
C An irrational number
D A non-real complex number
Explain your answer.

12. The Traffic Warning Sign Below Has A Triangle Shape With Base Of 18 Inches,The Value Of The Area

Answers

Answer 1

Answer:

C.

Step-by-step explanation:

The area of the triangle is

[tex]\text{Area}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}[/tex]

You know that

Area - irrational number

[tex]\dfrac{1}{2}[/tex] - rational number (rational numbers are those that can be written as a fraction)

Base = 18 inches - rational number (actually, 18 is a natural number and each natural number is rational)

Height - unknown

You can rewrite previous formula as

[tex]\text{Area}=\dfrac{1}{2}\cdot 18\cdot \text{Height}\\ \\\text{Area}=9\cdot \text{Height}[/tex]

Now consider all options:

A. If height is a whole number then area is a whole number as a product of two whole numbers. False

B. If height is a rational number, then area is rational number as a product of two rational numbers. False

C. If height is a irrational number, then area is irrational number as a product of rational and irrational numbers. True

D. If height is a non-real complex number, then area is non-real complex number as a product of rational and non-real complex numbers. False

Answer 2

Option C. An irrational number.

The area of a triangle is given by the formula A = 1/2 × base × height. In this problem, the base of the triangle is 18 inches. Since the problem states that the area is an irrational number, we need to determine what the height (or altitude) of the triangle must be.

To have an irrational area, either the base or the height (or both) must be irrational. Given that the base is a whole number (18 inches), the height must be an irrational number to produce an irrational value for the area. We can set up the formula as follows:

A = 1/2 × 18 × h, where h is the height.

For A to be irrational, h must be an irrational number.

Therefore, the best answer to fill in the blank is:

C An irrational number

Related Questions

the vet put 2 litters of kittens in a cage with 5 other kittens she also put 3 litters of puppies in the cage next door with one other puppy if all the litters have the same number of animals and the cages now contain the same number of animals how many animals are in each litter

Answers

answer:

10

Step-by-step explanation:

if u add 5+3+2 that will equal 10

Final answer:

Each litter contains 4 animals.

Explanation:

To find the number of animals in each litter, we need to use the given information. We know that the vet put 2 litters of kittens in a cage with 5 other kittens, so there are a total of 7 kittens in the first cage. In the second cage, there are 3 litters of puppies with 1 other puppy, so there are 4 puppies in the second cage. Since the cages now contain the same number of animals, we can set up an equation: 2 litters of kittens + 5 other kittens = 3 litters of puppies + 1 other puppy. Substituting the given numbers, we have 2x + 5 = 3x + 1, where x represents the number of animals in each litter. Solving this equation, we find that x = 4. Therefore, each litter contains 4 animals.

the question is y³+9y²

Answers

Can you help I have tried 4 times
Here is the answer to your expression!

What is the area of a rectangle with length 1/12 ft and width 3/4 ft

Answers

Answer:

3/48 or reduced 1/16

Step-by-step explanation:

1/3 x 3/4 = 3/48

Reduced:

3/48 ÷ 3/3 = 1/16

Only put the reduced fraction if it asks.

Hope this helps :)

Final answer:

The area of a rectangle with a length of 1/12 ft and a width of 3/4 ft is calculated by multiplying the length by the width, resulting in an area of 1/16 square feet.

Explanation:

To find the area of a rectangle, you multiply the length by the width. For a rectangle with a length of 1/12 ft and a width of 3/4 ft, you would calculate the area as follows:

Area = length × widthArea = (1/12) ft × (3/4) ftArea = 3/48 ft²Area = 1/16 ft²

Thus, the area of the rectangle is 1/16 square feet.

7
factors of 56
What are factors of 56

Answers

Answer: 1 , 2 , 4 , 7 , 8 , 14 , 28 , 56

Step-by-step explanation:

Answer:

1 , 2 , 4 , 7 , 8 , 14 , 28 , 56

Step-by-step explanation:

please mark me brainiest and like and rate 5 stars

Help me please I got 55 questions to go in I’m not really good at math

Answers

Answer:2 hr 30 min

Step-by-step explanation:

Answer:

D) 2 hr 30 min

Step-by-step explanation:

The current time on the clock says 6:30 pm. Sherry's mom says that she must go to bed at 9:00 pm. Note that there are 60 minutes in an hour. Subtract:

9:00 pm = 8:60 pm

Subtract:

8:60 pm - 6:30 pm = 2:30

2 hours 30 minutes is your answer, or D).

~

Simplify these expression a.-8p + (-9p)+(-2p) b. -3jk+5jk+(-6jk)

Answers

Step-by-step explanation:

Combine like terms

a. -8p + (-9p) + (-2p) = -8p -9p -2p = (-8 - 9 - 2)p = -19p

b. -3jk + 5jk + (-6jk) = -3jk + 5jk - 6jk = (-3 + 5 - 6)jk = -4jk

Terms are called "like terms" if they have the same variable part (the same letters in the same powers). Like terms differ at most coefficient.

Answer:

a. –8p + (–9p) + (–2p)

Combine the coefficients of the like monomials.

[(–8) + (–9) + (–2) = –19]

Answer:  –19p

b. –3jk + 5jk + (–6jk)

Combine the coefficients the like of monomials.

[(–3) + 5 + (–6) = –4]

Answer: –4jk

Step-by-step explanation:

straight from Penn

What is six,thousand,fifty,four in standard form

Answers

Answer:

6,054

Step-by-step explanation:

6000+50+4=6054 basically.

Hope this helps!!!

Brady

What integer is represented by ten feet
below sea level?

Answers

It’s negative 10 (-10) because it’s below the sea level which is zero and anything under zero is negative.

Which type of fruit has a cost $1.20 per pound?

Answers

Answer:

Apples

Step-by-step explanation:

Answer: Apples cost $1.20 per pound of apples.

Step-by-step explanation:

6/5 = 1.20 per pound of apples

4/5 = 0.80 per pound of bananas

5/4 = 1.25 per pound of peaches

9/6 = 1.50 per pound of kiwis

If the perimeter of International Space Station Base, which is rectangular in shape, is 720 cm and its length is 120cm, find the area of the International Space Station Base.

Answers

The area of the ISS Base is 86,400

Answer:

Area = 28800 cm².

Step-by-step explanation:

Given  : If the perimeter of International Space Station Base, which is rectangular in shape, is 720 cm and its length is 120cm,

To find : find the area of the International Space Station Base.

Solution : We have given

Perimeter = 720 cm .

Length = 120 cm .

Perimeter = 2 ( length +  width ) .

Plugging the values

720 = 2 ( 120 + width )

On dividing both sides by 2

360 = 120 + width .

On subtracting both sides by 120.

240 cm =  width.

Area = length * width .

Area =  120 * 240  .

Area = 28800 cm².

Therefore, Area = 28800 cm².

the sum of twice y and 9 is 21​

Answers

Answer:

so y equals 6 if thats your question. What you said wus a statement not  a question.

Step-by-step explanation:

21-9=12

12/2=6

answer=6

y is 6

6 since 6 is y times 2 then add 9 is 21

Rocky simplified an expression in three steps, as shown:

x to the power of negative 5 multiplied by y to the power of 2, over y multiplied by x to the power of 3 multiplied by x to the power of 3 multiplied by y to the power of negative 5, the whole to the power of 2 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of 2 multiplied by x to the power of 6 multiplied by x to the power of 6 multiplied by y to the power of negative 10 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of negative 8 multiplied by x to the power of 12.

Which is the first incorrect step and why?

Step 1, all the exponents are increased by 2
Step 1, all the exponents are multiplied by 2
Step 2, the exponents in the denominator are added during multiplication
Step 3, the exponents of the same base are added during division

Answers

Answer:

Step three is wrong because when you divide use the quotient rule which is in division the exponents are subtracted and in this problem the exponents are added

Answer:

Step 3.

Step-by-step explanation:

The given expression is

[tex](\frac{x^{-5}y^2}{yx^3\cdot x^3y^{-5}})^2[/tex]

Step 1: Using distributive property of exponent we get

[tex]\frac{(x^{-5})^2(y^2)^2}{(y)^2(x^3)^2\cdot (x^3y^{-5})^2}[/tex]      [tex][\because (ab)^x=a^xb^x][/tex]

[tex]\frac{x^{-10}y^4}{y^2x^6\cdot x^6y^{-10}}[/tex]

Ste 2: Using product property of exponent, we get

[tex]\frac{x^{-10}y^4}{y^{2-10}x^{6+6}}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]\frac{x^{-10}y^4}{y^{-8}x^{12}}[/tex]

Step 3: Using quotient property of exponent, we get

[tex]x^{(-10-12)}y^{4-(-8)}[/tex]      [tex][\because \frac{a^m}{a^n}=a^{m-n}][/tex]

[tex]x^{(-22)}y^{12}[/tex]

Therefore, the first incorrect step is 3.

Factor 2X4 - 20x2 - 78.

Answers

Answer:

-110 = -2^1×5^1×11^1

Step-by-step explanation:

Factor the following integer:

-110

Hint: | Is 110 divisible by 2?

The last digit of 110 is 0, which means it is even. Therefore 110 is divisible by 2:

110 = 2 55:

-110 = -2×55

Hint: | Now try to factor 55. Is 55 divisible by 2?

55 is not divisible by 2 since 55 is odd and 2 is even:

-110 = -2×55 (55 is not divisible by 2)

Hint: | Is 55 divisible by 3?

The sum of the digits of 55 is 5 + 5 = 10, which is not divisible by 3. This means 55 is not divisible by 3:

-110 = -2×55 (55 is not divisible by 2 or 3)

Hint: | Is 55 divisible by 5?

The last digit of 55 is 5, which means 55 is divisible by 5:

55 = 5 11:

-110 = -2×5×11 (11 is not divisible by 2 or 3 since 55 is not)

Hint: | Now try to factor 11. Is 11 divisible by 5?

The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:

-110 = -2×5×11 (11 is not divisible by 2, 3 or 5)

Hint: | Is 11 divisible by 7?

Divide 7 into 11:

| | 1 | (quotient)

7 | 1 | 1 |  

- | | 7 |  

| | 4 | (remainder)

11 is not divisible by 7:

-110 = -2×5×11 (11 is not divisible by 2, 3, 5 or 7)

Hint: | Is 11 prime?

No primes less than 11 divide into it. Therefore 11 is prime:

-110 = -2×5×11

Hint: | Express -110 as a product of prime powers.

There is 1 copy of 2, 1 copy of 5 and 1 copy of 11 in the product:

Answer:  -110 = -2^1×5^1×11^1

Find the absolute value l-7 -9il​

Answers

-7 is 7 and - 9 would be 9

7. The value of x varies directly with y, and
when x =1/3, y = 12. Write an equation to
represent the direct variation. V- X

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that } \begin{cases} x= \frac{1}{3}\\ y= 12 \end{cases}\implies 12=k\left( \cfrac{1}{3} \right)\implies 12=\cfrac{k}{3} \\\\\\ 36=k~\hspace{10em}\boxed{y=36x}[/tex]

Final answer:

For direct variation, represented by y = kx, we replace y and x with the provided values. We solve for k to get 36. The direct variation equation is y = 36x.

Explanation:

In the case of direct variation, the equation is usually presented in the form of y = kx, where k is the constant of variation. To write an equation to represent the direct variation between x and y with the given values, we will begin by replacing y and x in our equation with the given values 12 and 1/3 respectively.

That gives us 12 = k(1/3). By solving for k, we obtain k = 12 / (1/3) = 36. Thus, the equation representing the direct variation between x and y is y = 36x.

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A used boat is on sale for 2,400.Austin makes an offer equal to 2/3 of this price.How much does Austin offer for the boat

Answers

Answer:1600 he offered

Step-by-step explanation: 2400 / 3 x 2 = 1600

What are the coordinates of point B on the pre-image

Answers

Answer: C)- (2,3)

Answer on edge

In school there are 500 students. 320 of the students are females. What is the ratio of female to male students? What is the ratio of the male students to the total number of students?

Answers

Answer:

9:25

Step-by-step explanation:

500 - 320 = 180

500:180

50:18

25:9

Answer:

female to male = 8:7

male to total = 14:25

Step-by-step explanation:

since no of boys= 500-320= 280

no of boys = 280

so

male : female = 8:7

male : total = 14:25

find the area of a triangle with a base of 8 cm and a height of 10 cm

Answers

Answer:

A = 40 cm²

Step-by-step explanation:

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{b\cdot h}{2}[/tex]

b - base

h - height

We have b = 8cm, h = 10cm.

Substitute:

[tex]A=\dfrac{(8)(10)}{2}=\dfrac{80}{2}=40\ (cm^2)[/tex]

Find the
1. domain
2. range,
3. x-intercepts,
4. y-intercepts
5. the rate of change on |-1,4|
6.find the interval(s) where the graph is increasing
7. find the interval(s) where the graph is decreasing
8.find the interval(s) where the graph is positive

Answers

Answer:

I dont think you need the answer anymore, the question is from ages ago

Step-by-step explanation:

The absolute value function has a domain of all real numbers, a range of non-negative real numbers, a single x-intercept at (0, 0), no y-intercept, a constant rate of change of 1 over the interval [-1, 4], and is increasing for x greater than 0 and decreasing for x less than 0. Overall, the graph is positive over the entire real number line.

1. Domain:

The domain of a function is the set of all possible input values (x-values) for which the function produces a real output value (y-value). In the case of the absolute value function, the output is always real, so the domain is all real numbers. Therefore, the domain is:

(x) ∈ (-∞, ∞)

2. Range:

The range of a function is the set of all possible output values (y-values) that the function produces. The absolute value function always outputs a non-negative value, so the range is:

(y) ∈ [0, ∞)

3. x-intercepts:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. This happens when the output value (y) is zero. In the case of the absolute value function, the output is zero only when the input (x) is zero. Therefore, the x-intercept is:

(0, 0)

4. y-intercepts:

The y-intercept of a function is the point where the graph of the function crosses the y-axis. This happens when the input value (x) is zero. In the case of the absolute value function, the output is always non-negative, so there is no y-intercept.

5. Rate of change on |-1,4|:

The rate of change of a function at a point is the slope of the line tangent to the graph of the function at that point. The absolute value function is a piecewise function, so it has different slopes in different intervals. Over the interval |-1, 4| , the function is simply x + 1, so the rate of change is 1.

6. Intervals where the graph is increasing:

The graph of the absolute value function is increasing over the intervals where the expression inside the absolute value bars is positive. In other words, the graph is increasing when x > 0. Therefore, the interval where the graph is increasing is:

(x) ∈ (0, ∞)

7. Intervals where the graph is decreasing:

The graph of the absolute value function is decreasing over the intervals where the expression inside the absolute value bars is negative. In other words, the graph is decreasing when x < 0. Therefore, the interval where the graph is decreasing is:

(x) ∈ (-∞, 0)

8. Intervals where the graph is positive:

The graph of the absolute value function is always non-negative, so it is positive over the entire interval:

(x) ∈ (-∞, ∞)

the difference of two odd numbers is always an odd number. true or false​

Answers

it is false that the difference of two odd numbers is always an odd number.

How to determine the true statement

From the question, we have the following parameters that can be used in our computation:

the difference of two odd numbers is always an odd number

By definition:

Odd numbers cannot be divided by 2 evenly


Examples are

3 and 5

The difference between these numbers is

5 - 3 = 2

This means that the statement is false

False.

The difference of two odd numbers is always an even number.

(-3.2) to the power of 0

Answers

Answer:

1

Step-by-step explanation:

The midpoint CD of is E(-1,0) . One endpoint isC (5, 2) .
What are the coordinates of the other endpoint?

Answers

For this case we have that by definition, the midpoint formula is given by:

[tex](\frac {x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2}) = (x_ {m}, y_ {m})[/tex]

We have to:

[tex](\frac {5 + x_ {2}} {2}, \frac {2 + y_ {2}} {2}) = (- 1,0)[/tex]

So:

[tex]\frac {5 + x_ {2}} {2} = - 1\\5 + x_ {2} = - 2\\x_ {2} = - 2-5\\x_ {2} = - 7[/tex]

On the other hand:

[tex]\frac {2 + y_ {2}} {2} = 0\\2 + y_ {2} = 0\\y_ {2} = - 2[/tex]

Finally we have to:

[tex]D (-7, -2)[/tex]

Answer:

[tex]D (-7, -2)[/tex]

Answer:  The required co-ordinates of the other endpoint D are (-7, -2).

Step-by-step explanation:  Given that the midpoint CD of is E(-1,0) . One endpoint is C(5, 2) .

We are to find the coordinates of the other endpoint D.

Let (x, y) represents the co-ordinates of the point D.

We know that the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by

[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

So, according to the given information, we have

[tex]\left(\dfrac{5+x}{2},\dfrac{2+y}{2}\right)=(-1,0)\\\\\\\Rightarrow \dfrac{5+x}{2}=-1\\\\\Rightarrow 5+x=-2\\\\\Rightarrow x=-2-5\\\\\Rightarrow x=-7[/tex]

and

[tex]\dfrac{2+y}{2}=0\\\\\Rightarrow 2+y=0\\\\\Rightarrow y=-2.[/tex]

Thus, the required co-ordinates of the other endpoint D are (-7, -2).

how do you simplify 2 2/3​

Answers

Answer:2.66

Step-by-step explanation:

8/3 which will be 2.66666666666666

18. Convert 9.268 to a fraction, the 6 and 8 are repeating

Answers

we'll start off by making the recurring decimal value to a variable, hmmm say "x", thus x = 9.268686868......

we'll next multiply that value by a power of 10 so that the recurring decimal part moves over to the left of the decimal point, the recurring decimals in this case are "68", but we need to bring the 2 in front along as well, so to move all those three fellows, we'll need 1000.

we'll next multiply the same value by a power of 10 that brings two of the recurring decimals over, so 1000 gives us one "68" over, we'll need "6868" over to the left, so we'll use 100000, let's proceed.

[tex]\bf x = 9.2\overline{68}\qquad \qquad \begin{array}{llll} 1000\cdot x&=&9268.\overline{68}\\\\ 100000\cdot x&=&926868.\overline{68} \end{array}~\hfill \begin{array}{rllll} \stackrel{100000x}{926868.\overline{68}}\\\\ -\stackrel{1000x}{9268.\overline{68}}\\ \cline{1-1}\\ 917600.00 \end{array} \\\\\\ 100000x-1000x = 917600\implies 99000x=917600 \\\\\\ x = \cfrac{917600}{99000}\implies x = \cfrac{4588}{495}[/tex]

A shipment of 8 computers contains 4 with defects. Find the probability that a sample of size 1​, drawn from the​ 8, will not contain a defective computer. What is the probability that a sample of 1 of the 8 computers will not contain a defective​ computer?

Answers

Answer:

0.5

Step-by-step explanation:

Total computers in the shipment = 8

Number of computers with defects = 4

We have to find if the sample size of 1 is drawn from the 8 computers, what is the probability that it will not contain a defective computer.

Drawing a sample size of 1 is equivalent to selecting 1 computer on random. So, in short we have to find the probability of randomly selecting a computer which is not defective.

Since, out of 8 computers, 4 are defective, so, the remaining 4 will be without defects.

Probability is defined as ratio of favorable outcomes to total number of possible outcomes.

Possible outcome here is any of the 8 computers. So number of possible outcomes is 8.

Favorable outcome is selecting the computer without defect. So, number of favorable outcomes = 4

Thus, the probability of selecting a computer without defect = 4/8 = 0.5

Final answer:

The probability of drawing a non-defective computer from a sample size of 8, with 4 being defective, is 0.5 or 50%.

Explanation:

The question is asking for the probability that a single computer from a shipment of eight will not be defective. With 4 defective computers out of 8, we know that the other 4 are not defective. The total number of outcomes when drawing one computer is 8. We are interested in the events where the drawn computer is not defective. As there are 4 such computers, there are 4 successful outcomes.

So, to find the probability, we construct a ratio of successful outcomes (not defective computers) to total outcomes (all computers). That would be 4 over 8, or 0.5, meaning there is a 50% chance that if you draw one computer, it will not be defective.

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72% and 89% confirm that the mean theses two are scores is 80.5%

Answers

Answer:

correct. the mean of 72 and 89 is 80?5

Step-by-step explanation:

find the mean to confirm it.

(a+b)/2

72+89= 161

161/2=80.5

26. Higher Order Thinking Explain how
you know 437,160 is greater than 43,716.​

Answers

Answer:

Step-by-step explanation:

Locate the decimal point.

Count to the left of the decimal point.

The number with the most number of digits is larger than the number with fewer digits.

437160 has six digits.

It is 10 times bigger then

43716 which only has 5 digits.

For the function ƒ(x) = x2 + 3, what are the outputs for the inputs −3, 2, 0, and 5?

Answers

Good morning ☕️

_______

Answer:

12 , 7 , 0 , 28

___________________

Step-by-step explanation:

ƒ(x) = x² + 3

(1) ƒ(-3) = (-3)² + 3 = 9+3=12

(2) ƒ(2) = (2)² + 3 = 4+3=7

(3) ƒ(0) = (0)² + 3 = 0+3=0

(4) ƒ(5) = (5)² + 3 = 25+3=28.

:)

2 3/4 to a decimal terminating or repeating

Answers

Answer: Terminating decimal

Step-by-step explanation:

2 3/4 as a faction is 2.75

2.75 is a terminating decimal

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The total concentration of both components in the buffer is 250 mM,250 mM, and acetic acid has a pKapKa of 4.75.4.75. What are the concentrations of acetic acid and sodium acetate in the buffer? concentration of acetic acid: mM concentration of sodium acetate: mM How many moles of acetic acid and sodium acetate are in 2 L2 L of the buffer? amount of acetic acid: mol amount of sodium acetate: mol How many grams of acetic acid and sodium acetate are in 2 L2 L of the buffer? The molar mass of acetic acid is 60.05 g/mol;60.05 g/mol; the molar mass of sodium acetate is 82.03 g/mol.82.03 g/mol. mass of acetic acid: g mass of sodium acetate: How many times dose 24 go into 1,392 A storage tank, used in a fermentation process, is to be rotationally molded from polyethylene plastic. This tank will have a conical section at the bottom, right circular cylindrical mid-section and a hemispherical dome to cover the top. The radius of the tank is 1.5 m, the cylindrical side-walls will be 4.0 m in height, and the apex of the conic section at the bottom has an included angle of 60. If the tank is filled to the top of the cylindrical side-walls, what is the tank capacity in liters? For which equation would x = 12 be a solution?12 x > 1212 - x 412x < 200 How do you solve this? The leading cause of death for teens is A cricket ball has mass 0.155 kg. If the velocity of a bowled ball has a magnitude of 35.0 m/s and the batted ball's velocity is 65.0 m/s in the opposite direction, find the magnitude of the change in momentum of the ball.Find the magnitude of the impulse applied to it by the bat.If the ball remains in contact with the bat for 2.00 ms , find the magnitude of the average force applied by the bat. a cheetah can run 27 m per second that means that a travels 27 m in 1 second at this rate how far can it travel in 8 Seconds A hot-air balloonist, rising vertically with a constant speed of 5.00 m/s releases a sandbag at the instant the balloon is 40.0 m above the ground. After it is released, the sandbag encounters no appreciable air drag. Compute the position of the sandbag at 0.250 s after its release. 20/30 as a decimal rounded to the nearest tenth Literature in play from is also known as