Answer:
380 square inches or 380 in²
Step-by-step explanation:
We are given 2 parameters in the question
A rectangular prism and a rectangular wrapping paper.
To solve the question above, we have to find the areas of these two parameters.
a) Formula for the area of the Rectangular Prism = 2(WL+ HL + HW)
The Rectangular Prism has the dimensions of Length × Width × Height = 8 inches by 9 inches by 10 inches
Where
L = Length = 8 inches
W = Width = 9 inches
H = Height = 10 inches
Area of the Rectangular Prism = 2[(9 × 8) + (10 × 8) + (9 × 10)]
= 2(72 + 80 + 90)
= 2(242)
= 484 in²
b) Formula for the area of a Rectangular shaped wrapping paper
= Length × Breadth
The wrapping paper has measurements of:
2 feet by 3 feet
Since the dimensions of the rectangular prism is in inches, we have to convert that of the rectangular prism to inches as well
1 foot = 12 inches
2 feet = 2 × 12 inches = 24 inches
3 feet = 3 × 12 inches = 36 inches
Area of the Rectangular shaped wrapping paper = Length × Width
= 24 in × 36 in
= 864 in²
The amount of square inches of wrapping paper left.
= Area of Rectangular wrapping paper - Area of Rectangular prism
= 864 in² - 484 in²
= 380 in²
Each product is in the form ax^2+ by+c. Which of the following explains the relationship between b and c?
Answer:
c is the square of half of b
Step-by-step explanation:
A quadratic equation can be written in the following form:
[tex]ax^2+bx+c[/tex].
Based off of the information provided, we can test to see if which answer choice is correct.
OPTION A IS INCORRECT:
Although, for [tex]x^2+6x+9[/tex], c is 1.5 times b, we do not see that relationship reflected in other equations, such as [tex]x^2+10x+25[/tex] and [tex]x^2+12x+36[/tex]. There must be a different relationship.
OPTION B IS INCORRECT:
Although c is double b for x^2+8x+16, this rule is not applicable for the rest of the equations. C is double b for the is 1.5 times that of b for x^2+6x+9, and for and for x^2+10x+25, c is 2.5 times b, and for x^2+12x+36, c is 3 times of b.
OPTION C IS CORRECT:
We can test this relationship based off of the information given.
for x^2+6x+9, c equals (6/2)^2 which is 9
for x^2+8x+16, c equals (8/2)^2 which is 16
for x^2+10x+25 c equals (10/2)^2 which is 25
and finally, for x^2+12x+36 c equals (12/2)^2 which is 36.
OPTION D IS INCORRECT:
C is not the square of B.
for x^2+6x+9, b^2 which is 36 (c here is 9)
for x^2+8x+16, b^2 is 64 (c here is 16)
for x^2+10x+25 b^2 is 100 (c here is 25)
and finally, for x^2+12x+36 b^2 is 144 (c here is 36).
Katie is working on a blueprint for a fence she is designing. She will need to construct parallel lines to ensure that the second slat is parallel to the first. Which step will Katie need to do first to ensure that the second slat is parallel to the first slat in the diagram below? a line Draw a second line using a straightedge so that it intersects the first. Draw a second line using a straightedge so that it is parallel to the first. Create two arcs above the line using a compass. Create arcs above and below the line using a compass.
A. Draw a second line using a straightedge so that it intersects the first.
Step-by-step explanation:
trust me i took the test and got it right
Answer:
Draw a second line using a straightedge so that it intersects the first.
Answer above is correct, just took the test.
Step-by-step explanation:
Which expression is equivalent to 4/9×7
Answer:
Step-by-step explanation:
if the fraction is (4/9)*7 then the answer =28/9
if the fraction is 4/(9*7) then the answer is 4/63
Which of the following is NOT a solution to the inequality graphed below?
Graph:
(-2, -4)
(-1, -5)
(0, -3)
(2, -1)
Greetings from Brasil...
The point (-2; -4) is in the blue area, so it is the solution to the equation;
The point (-1; -5) is in the blue area, so it is the solution to the equation;
The point (0; -3) is in the blue area, so it is the solution to the equation;
The point (2; -1) is exactly on the function line. As this line is dashed, it does not include its values, so this point is not a solution (no point on the dashed line is a solution)
If a is an integer and n is a positive integer, we define a mod n to be the remainder when a is divided by n. The integer n is called the __________
Answer:
Divisor
Step-by-step explanation:
Given
[tex]a\ mod\ n[/tex]
Required
What does n represents
In arithmetic, the number that divides another is referred to as divisor;
Take for instance;
[tex]5\ mod\ 3 = 2[/tex]
This implies that when 5 is divided by 3, the remainder is 2
The bold text (divided by 3) means that 3 is the divisor of 5;
When compared to [tex]a\ mod\ n[/tex]
We have that
n = 3
Reason being that, n and 3 are in the same position base on order of appearance;
Hence, n represents the divisor
In the following regression (n = 91), which coefficients differ from zero in a two-tailed test at α = .05? Confidence Interval Variables Coefficients 95% lower 95% upper Intercept 9.8080 − 23.9968 43.6129 NumCyl − 1.6804 − 2.8260 − 0.5349 HPMax − 0.0369 − 0.0648 − 0.0090 ManTran 0.2868 − 2.2604 2.8341 Length 0.1109 − 0.0087 0.2305 Wheelbase − 0.0701 − 0.4111 0.2709 Width 0.4079 − 0.1735 0.9893 RearStRm − 0.0085 − 0.4100 0.3931 Weight − 0.0025 − 0.0064 0.0014 Domestic − 1.2291 − 3.4955 1.0374
Complete Question
The complete question is shown on uploaded image
Answer:
The correct option is B
Step-by-step explanation:
The reason the correct answers is [tex]NumCyl \ and\ HPMax[/tex] is because from the table we see that the 95% confidence interval for [tex]NumCyl \ and\ HPMax[/tex] does not contain zero
Which means the [tex]NumCyl \ and\ HPMax[/tex] differ form zero in a two-tailed test
Jean saw a basic computer for $695.00 and a printer for $95.00. In order to buy the computer, Jean would work each week for four months. He earned $157.00 in May, $210.00 in June, $377.00 in July and $145.00 in August. Has Jean earned enough money to buy the computer and printer? If so, how much will he have left over after the purchase?
Answer:
YES
Step-by-step explanation:
$157+$210+$377+$145=$889
$695+$95=$790
Leftover
$889-$790 =$99
he would have $99 leftover
The amount left over with Jean is given by the equation A = $ 99
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount left over be represented as A
Now , the equation will be
The cost of basic computer is = $ 695.00
The cost of printer is = $ 95.00
The amount saved in month of May = $ 157.00
The amount saved in month of June = $ 210.00
The amount saved in month of July = $ 377.00
The amount saved in month of August = $ 145.00
The total amount saved = $ 157.00 + $ 210.00 + $ 377.00 + $ 145.00
The total amount saved = $ 889
The total cost of computer and printer = $ 695 + $ 95
The total cost of computer and printer = $ 790
The amount of money left over with Jean A = total amount saved - total cost of computer and printer
Substituting the values in the equation , we get
The amount of money left over with Jean A = $ 889 - $ 790
The amount of money left over with Jean A = $ 99
Therefore , the value of A is $ 99
Hence , the amount left over is $ 99
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A very wealthy person has 96 shirts, 90 pairs of pants and 120 pairs of
shoes but only one pair of underwear. How many different outfits can
they wear?
A. 1,630,800
B. 1,036,800
C. 1,360,800
D. 1,063,800
Answer:
B.
Step-by-step explanation:
96x90x120x1= 1,036,800
Answer:
Hey there!
The wealthy person can have 96x90x120 different outfits, and that is 1036800 combinations.
Let me know if this helps :)
Need help will mark brainliest
Step-by-step explanation:
Range = highest value - lowest value
=25 – 12
= 13
First Quartile = 15
Third Quartile = 22
Interquartile = 7
Answer:
a) 7
b) 15
c) 13
d) 22
today the city madsion has a population of 6.34 million residents. in 19114, the population was just 1.9 million residents. by how many residents has the population increased since 1914
Subtract starting population from current one:
6.34 - 1.9 = 4.44
The population increased by 4.44 million.
The table shows the relationship between the number of calories Raquel burns while hiking and the number of minutes she hikes.
How many calories will Raquel burn in 1 minute while hiking?
Answer:
hi i have the same question and im super confused, what was your answer for that question?
Step-by-step explanation:
Answer:
5 calories
Step-by-step explanation:
How would you write a word phrase for the algebraic expression d/5+2? The difference between the quotient of d and 5 and 2? The sum of 2 and the product of d and 5? The difference between 2 and the product of d and 5? The sum of the quotient of d and 5 and 2?
Answer: The word phrase for this expression is the last option, "The sum of the quotient of d and 5 and 2." d is being divided by 5, so we would use "quotient of d and 5" for that part, and then we would add the "sum" because d/5 is being added to 2.
What is the slope of the line? y+2=−2(x−3) Choose 1 answer: A. −1/2 B. 1 C. −2 D. −1
Answer:
C. -2
Step-by-step explanation:
You have to look at the factor in front of the x after normalizing the equation in to y = ax + b. In other words, find a.
y+2 = -2(x-3) =>
y = -2x + 6 - 2
y = -2x + 4
a = -2
b = 4
Answer:
C. -2
Step-by-step explanation:
y+2=−2(x−3)Bringing the equation to slope-intercept form of y = mx + b, where m is a slope:
y + 2 = - 2x + 6y = -2x + 6 -2y = -2x + 4As m = -2, the slope is -2Correct answer choice: C. -2
what is 1 3/8 as a decimal
Answer:
1.375
Step-by-step explanation:
I recommend using a calculator. Divide 3/8. Add 1 back.
The decimal value of 1(3/8) is 1.375.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
1(3/8)
This can be written as,
11/8
Now,
11/8 = 1.375
Thus,
The decimal value of 1(3/8( is 1.375.
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Based on a survey, assume that 28% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when consumers are randomly selected, exactly of them are comfortable with delivery by drones. Identify the values of n, x, p, and q. 28
Question:
Based on a survey, assume that 28% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones.
Identify the values of n, x, p, and q.
Answer:
[tex]n = 5[/tex]
[tex]x = 3[/tex]
[tex]p = 0.28[/tex]
[tex]q = 0.72[/tex]
Step-by-step explanation:
Given
Proportion of customers that prefer drone = 28%
Selected customers= 5
Customers expected to prefer drone = 3
Required
Determine the value of n, x, p and q
In probability; n represents the selected sample;
So;
[tex]n = 5[/tex]
The expected number of people to prefer drone is represented by x;
So;
[tex]x = 3[/tex]
In probability, opposite probabilities add up to 1
i.e.
[tex]p + q = 1[/tex]
Where p is the given probability;
[tex]p = 28\%[/tex]
Convert to decimal
[tex]p = 0.28[/tex]
Substitute 0,28 for p in the above equation
[tex]p + q = 1[/tex] becomes
[tex]0.28 + q = 1[/tex]
Make q the subject of formula
[tex]q = 1 - 0.28[/tex]
[tex]q = 0.72[/tex]
A customer at a restaurant leaves $80 on the table to pay for the food, a 15% tip, and 8% sales tax. If both tip and sales tax were calculated from
the cost of the food, which of the following was the cost of the food, rounded to the nearest cent?
Answer:
$65.04
Step-by-step explanation:
Given:
Total amount left by the customer on table = $80
It contains cost of the food + 15% tip + 8% sales tax.
Sales tax and tip are calculated from the cost of food.
To find:
Cost of the food = ?
Solution:
Let the cost of food = $[tex]x[/tex]
As per given question statement:
Tip = 15% of [tex]x[/tex]
Sales Tax = 8% of [tex]x[/tex]
Money left on table = Cost of food + Tip + Sales tax
$80 = [tex]x[/tex] + 15% of [tex]x[/tex] + 8% of [tex]x[/tex]
Now, let us solve the equation:
[tex]\$80 = x + 15\%\ of\ x + 8\%\ of\ x\\\Rightarrow 80 = x + \dfrac{15}{100} \times x + \dfrac{8}{100} \times x\\\Rightarrow 80 = \dfrac{100x + 15\times x + 8\times x}{100}\\\Rightarrow 80 = \dfrac{123x}{100}\\\Rightarrow 80 \times 100= 123x\\\Rightarrow x = \dfrac{8000}{123}\\\Rightarrow \bold{x = \$65.04}[/tex]
Therefore, the cost of food, rounded off to nearest cent is $65.04.
Answer:
Step-by-step explanation:
The cost of the food as x, the tips as 0.15, and the tax as 0.08x. Then setting up and solving the equation x+0.15x+0.08x=80.
Suppose that X is a random variable with probability function x 0 1 2 3 4 5 P(x) 0.00032 0.0064 0.0512 0.2048 0.4096 0.32768 and that the random variable Y = 9X2 − 36X + 4. (a) What is the range of Y ? (b) Calculate P{Y = 4}. (c) Calculate P{Y = 0}.
(a) For each value of X we have:
[tex]X=0\quad\Rightarrow\quad Y=4\\\\X=1\quad\Rightarrow\quad Y=-23\\\\X=2\quad\Rightarrow\quad Y=-32\\\\X=3\quad\Rightarrow\quad Y=-23\\\\X=4\quad\Rightarrow\quad Y=4\\\\X=5\quad\Rightarrow\quad Y=49[/tex]
so the range of Y = {-32, -23, 4, 49}
(b)
[tex]P\{Y=4\}=P\{X=0\}+P\{X=4\}=0.00032+0.4096=\boxed{0.40992}[/tex]
(c)
Y cannot equal 0, so
[tex]P\{Y=0\}=0[/tex]
How many people averaged 4,000 or more steps each day? (25 POINTS FOR BRAINLIEST) How many people averaged 4,000 or more steps each day? A): 10 B): 12 C): 19 D): 22
Answer:
D.)22
Step-by-step explanation:
D. 22 people has an average of 4000 or more than 4000 steps each day.
How to find an average ?To find an average sum up the weights of each individuals and divide by no. of individuals.
From the given diagram
2 people has an average of 0 to 1999 steps.
5 people has an average of 2000 to 3999 steps.
12 people has an average of 4000 to 5999 steps.
7 people has an average of 6000 to 7999 steps.
3 people has an average of 8000 to 9999 steps.
We have been asked how many people has an average of 4000 or more steps.
∴ ( 12 + 7 + 3) people has 4000 or more average steps each day.
= 22 people.
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what is the ordered pair for y=-3x when x=0
Answer: (0,0)
Step-by-step explanation:
When x is 0 then input 0 into the equation for x and solve for y.
y = -3(0)
y = 0
So x is 0 and y will also be zero so we will have the ordered pair (0,0)
Answer:
The ordered pair is (0,0)
Step-by-step explanation:
y=-3x
Let x = 0
y = -3*0
y = 0
The ordered pair is (0,0)
Kendall is solving this inequality. x/2 + 6 > 42 What should she do first to solve?
Answer:
see below
Step-by-step explanation:
First, she should subtract 6 from both sides of the inequality. This makes it so that the x terms are on one side and the non-x terms are on the other side so she can then solve for x by multiplying the entire inequality by 2.
An artist makes a scale drawing of a parallelogram-shaped sculpture. The scale is 10 cm on the drawing? Show your work. PLEASE HELP ME-
Answer:
Area of parallelogram = 25.2 m²
Step-by-step explanation:
Given:
Base = 6 m
Height = 4.2 m
Find:
Area of parallelogram
Computation:
Area of parallelogram = Base × Height
Area of parallelogram = 6 × 4.2
Area of parallelogram = 25.2 m²
Prove the cofunction Identity using the Addition and Subtraction Formulas. Tan (pi/2 - u) = cot (u) Since tan (pi/2) is undefined, use a Reciprocal Identity, and then use the Substitution Formulas to simplify. Tan (pi/2 - u) = sin/cos (pi/2 - u) = (cos (u)) - (cos (pi/2)) (sin (u))/(sod (pi/2)) (cos (u)) + (sin (pi/2)) (sin (u)) = (cos (u)) - (0) (sin (u))/(0) (cos (u)) + (1) (sin (u)) =/sin (u)
Answer:
Step-by-step explanation:
We are to prove the cofunction Identity using the Addition and Subtraction Formulas. [tex]tan(\pi/2 - u) = cot (u)[/tex]
From trigonometry identity, [tex]tan x = sinx/cosx[/tex], starting from right hand side of the equation, the expression above will become;
[tex]tan(\pi/2 - u) = \dfrac{sin(\frac{\pi}{2}-u )}{cos(\frac{\pi}{2}-u) }........ \ 1 \\\\from\ quadrant;\\\\sin(\frac{\pi}{2}-u) = cos (u) \ and \ cos(\frac{\pi}{2}-u) = sin(u)[/tex]
Substituting this trigonometry identities into equation 1 we will have;
[tex]tan(\pi/2 - u) = \dfrac{cos(u)}{sin(u)}[/tex]
Since cot(u) = 1/tan(u) = cos(u)/sin(u), hence;
[tex]tan(\pi/2 - u) = \dfrac{cos(u)}{sin(u)} = cot(u)\\\\tan(\pi/2 - u) = cot (u)\ Proved![/tex]
1/2(6+18)-2²
Help me my good ppl it asks to evaluate
Answer:
8
Step-by-step explanation:
1/2(6+18)-2^2
=1/2(24)-4
=12-4
=8
You are working as an office apprentice for bksb newcastle arena you are helping collect a customer satisfaction survey for the arena enter the following replies into the table below
To find the area of the arena, you will need to find the areas of the rectangular spaces and the 2 semicircles. Because the formulas are given, I will just substitute in the values and show the work for finding the areas.
To find the perimeter, you will look at the distances of lines that take you around the space. Because two of these spaces are half circles, you will need to find the circumference of the full circle.
Also, the answers need to be given in meters, so all units given in centimeters will be divided by 100 to convert them to meters.
Perimeter:
C= 3.14 x 20 m
C = 62.8 meters
62.8 + 8 + 25 + 8 + 5 + 8 + 10 + 8 + 40= 174.8 meters for the Perimeter
Area:
A = 25 x 8
A = 200 square meters
A = 10 x 8
A = 80 square meters
A = 20 x 40
A = 800 square meters
A = 3.14 x 10^2
A = 314 square meters
Total Area: 314 + 800 + 80 + 200= 1394 square meters
In each of the following
[tex]find \: \frac{dy}{dx}\: [/tex]
[tex]a)\: \: y = \sin ^ - 1 \sqrt{x} + ln( \sqrt{x} ) [/tex]
[tex]b) {e}^{y} = {2}^{x} log(x) - {e}^{2x} [/tex]
(a) Recall that
[tex]\dfrac{\mathrm d[\sin^{-1}x]}{\mathrm dx}=\dfrac1{\sqrt{1-x^2}}[/tex]
[tex]\dfrac{\mathrm d[\ln x]}{\mathrm dx}=\dfrac1x[/tex]
[tex]\dfrac{\mathrm d[\sqrt x]}{\mathrm dx}=\dfrac1{2\sqrt x}[/tex]
Then by the chain rule,
[tex]y=\sin^{-1}(\sqrt x)+\ln(\sqrt x)[/tex]
[tex]\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm d[\sin^{-1}(\sqrt x)+\ln(\sqrt x)]}{\mathrm dx}[/tex]
[tex]=\dfrac1{\sqrt{1-(\sqrt x)^2}}\dfrac{\mathrm d[\sqrt x]}{\mathrm dx}+\dfrac1{\sqrt x}\dfrac{\mathrm d[\sqrt x]}{\mathrm dx}[/tex]
[tex]=\dfrac1{2\sqrt x\sqrt{1-x}}+\dfrac1{2(\sqrt x)^2}[/tex]
[tex]=\dfrac1{2\sqrt{x-x^2}}+\dfrac1{2x}[/tex]
[tex]=\boxed{\dfrac{x+\sqrt{x-x^2}}{2x\sqrt{x-x^2}}}[/tex]
(b) I'll assume [tex]\log x[/tex] refers to the logarithm of base [tex]e[/tex]. Recall that
[tex]\dfrac{\mathrm d[e^x]}{\mathrm dx}=e^x[/tex]
[tex]2^x=e^{\log2\,x}\implies\dfrac{\mathrm d[2^x]}{\mathrm dx}=e^{\log2\,x}\dfrac{\mathrm d[\log2\,x]}{\mathrm dx}=\log2\cdot2^x[/tex]
Then using the chain rule and implicit differentiation, we get
[tex]e^y=2^x\log x-e^{2x}[/tex]
[tex]\implies e^y\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm d[2^x]}{\mathrm dx}\log x+2^x\dfrac{\mathrm d[\log x]}{\mathrm dx}-e^{2x}\dfrac{\mathrm d[2x]}{\mathrm dx}[/tex]
[tex]e^y\dfrac{\mathrm dy}{\mathrm dx}=\log2\cdot2^x\log x+\dfrac{2^x}x-2e^{2x}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\log2\cdot2^x\log x+\frac{2^x}x-2e^{2x}}{e^y}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\log2\cdot2^x\log x+\frac{2^x}x-2e^{2x}}{2^x\log x-e^{2x}}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{\dfrac{\log2\cdot2^xx\log x+2^x-2xe^{2x}}{x(2^x\log x-e^{2x})}}[/tex]
If instead [tex]\log x=\log_{10}x[/tex] denotes the base 10 logarithm, you need only make the following adjustment:
[tex]\log x=\dfrac{\ln x}{\ln 10}\implies\dfrac{\mathrm d[\log_{10}x]}{\mathrm dx}=\dfrac1{\ln10\,x}[/tex]
where [tex]\ln x[/tex] is logarithm of base [tex]e[/tex].
A four pack of batteries cost 5.16 at this price what is the cost of
Answer:
1.29 for 1 pack
Step-by-step explanation:
5.16/4=1.29
You bought 8 dvds for $22 each and 4 dvds for $13 each.
What is the average price you paid for each movie? *
Answer:
the average is
add 22 8 times and add 13 4 times
8×22=176
4×13=52
52+176=228
The average price you paid for each movie will be $19.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean.
It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
You bought 8 DVDs for $22 each and 4 DVDs for $13 each.
Then the total number of the DVDs will be
Total DVDs = 8 + 4 = 12
The total amount of dollars spent will be
Total amount = 22 x 8 + 13 x 4
Total amount = $228
Then the average price you paid for each movie will be
Average = $228 / 12
Average = $19
The average price you paid for each movie will be $19.
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Consider the function represented by the table.
What is f(0)?
O4
O 5
O 6
O 7
Answer:
6
Step-by-step explanation
The only f(0) answer in table is 6
Answer:
6
Step-by-step explanation:
f(0) = 6. That is, when the input (x) is 0, the output (y) is 6.
lila compro cuatro pares de pantalones azules q $32 cada uno. cuánto dinero le pago lila al empleado?
Answer:
128
Step-by-step explanation:
32 x 4 = 128
o
32 + 32 + 32 + 32 = 128
can you please help me this homework?
Answer & Step-by-step explanation:
Working from the inner circle out:
Natural Numbers: 1,2,3,4
These are the numbers you would use to count
Whole Numbers: 0,1,2,3
The natural numbers and zero
Integers: -3,-2,-1,0,1,2,3
The natural numbers, their opposites, and zero
Rational Numbers: [tex]-\frac{1}{2}, 0.22222222....,1,2,\frac{2}{3} ,\frac{5}{4} ,6.1[/tex]
-are all numbers that you can write as a quotient of integers [tex]\frac{a}{b}, b\neq 0[/tex]
-include terminating decimals. For example, [tex]\frac{1}{8}=0.125[/tex]
-include repeating decimals. For example, [tex]\frac{1}{3}=0.333333...[/tex]
In the rectangle:
Irrational Numbers: [tex]\sqrt{2} ,\pi[/tex]
-have decimal representations that neither terminate nor repeat. For example, [tex]\sqrt{2} =1.414213...[/tex]
-cannot be written as quotients of integers