Answers
The value of delta such that the statement is true is:
δ = 0.0002
How to find delta?
We want to find δ such that:
if |x -3| < δ, then |5x - 15| < ε
So we have two absolute value inequalities to work with.
With ε = 0.001
If we take the second inequality and replace epsilong, we will get:
|5x - 15| < 0.001
We can take 5 as a common factor on the left side to get:
5*|x - 3| < 0.001
Dividing both sides by 5 gives:
|x - 3| < 0.001/5
|x - 3| < 0.0002
Then the value of delta is 0.0002.
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Related Questions
Solve for x. Round to the nearest tenth.
xº
54
12
Answers
The required measure of the angle x in the given right triangle is 12.38°.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
Since the question seems to be incomplete the complete question has been attached after the solution.
We have given a triangle where x° is the angle of the right triangle where the hypotenuse is 54 and one legs is 12. With the help of trig ratios
sin x = 12 / 54
x = sin⁻¹(12/54)
x = 12.38°
Thus, the required measure of the angle x in the given right triangle is 12.38°.
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HelpThe ratio of the perimeters of two similar quadrilaterals is 2:4. What is the ratio of their areas? PLLLLLLLLLLSSSSSSss WILL GIVE 20 POINTS EASY
a.1:2
b. 4.8
c. 2:4
d. 4:16
e. 5:3
Answers
1) Find the 9th term of the sequence:
60, 30, 15, ...
*
Answers
Answer:
Step-by-step explanation:
Let me explain step by step:
Determine the common ratio: We see that each term is half the previous term, so the common ratio is 1/2.
Write the formula for the nth term: We can use the formula for an infinite geometric series to find the nth term:
a_n = a_1 * r^(n-1), where a_1 is the first term (60), r is the common ratio (1/2), and n is the term number.
Plug in the values: We want to find the 9th term, so we plug in the values into the formula:
a_9 = 60 * (1/2)^(9-1)
Calculate the expression: We can simplify the expression by using the exponent rule for powers of 1/2:
a_9 = 60 * (1/2)^8
Divide the result by 256: We can simplify the expression further by dividing both sides by 256:
a_9 = 60 * 1/256
a_9 = 60 / 256
Get the final answer: We divide 60 by 256 to get the final answer:
a_9 = 0.234375
So the 9th term of the sequence is approximately 0.234375.
16. At Target, a shirt that costs $25 goes on sale for $15. What is the
percent of decrease in the price?
O 40 percent increase
O 7 percent decrease
O40 percent decrease
O7 percent increase
Answers
Answer: Decreased 40%
Step-by-step explanation:
Alright, we know they reduced $10.00 (25-15)
Now all we have to do is find the percentage, 10 is how much of 25?
10/25 =0.4
(to get 0.4 to a percentage multiply by 100)
The price was decreased by 40%
Faith invests £800 for 3 years in a bank account. The account pays simple interest at a rate of 0.4% per year Work out the total amount of interest Faith has got at the end of the 3 years.
Answers
3.2 x 3 = 9.6
800 + 9.6 = £809.60
Select the coordinates A′ and B′ after dilation of the line segment AB with a scale factor of 2, centered at the origin where the endpoints are A(3,7) and B(4,9)
Answers
Answer:
To perform a dilation with a scale factor of 2 centered at the origin, we need to multiply each coordinate of the original points A and B by the scale factor of 2.
The coordinates of point A after dilation are:
A′(2 * 3, 2 * 7) = A′(6, 14)
Similarly, the coordinates of point B after dilation are:
B′(2 * 4, 2 * 9) = B′(8, 18)
So, the endpoints of the dilated line segment are A′(6, 14) and B′(8, 18).
A = (3,7) becomes A′ = (2 * 3, 2 * 7) = (6,14)
B = (4,9) becomes B′ = (2 * 4, 2 * 9) = (8,18)
So, the new coordinates of A′ and B′ after dilation with a scale factor of 2 centered at the origin are (6,14) and (8,18), respectively
Explain how to find 20% of 160
Answers
Answer: 20% of 160 is 32.
Step-by-step explanation:
The percentage is from the word percent which means one part in a hundred. It is a part of the base or the whole determined by the rate. Usually, the percentage is smaller than the base. However, there are also cases where the percentage is greater than the base. This happens when the percent is greater than 100%.
To find the percentage, you have to multiply the base and the rate. The base is the 100% or original amount or the whole while the rate is the ratio of the percentage to the base and it has the percent sign (%). Remember that you have to convert the rate to a decimal number by moving the decimal point twice to the left.
Let us now find the 20% of 160.
20% = 0.2
percentage = 160 × 0.2
= 32
I need help with this problem
Answers
The estimate of the number 7th grader who play in the school band will be 120.
How to calculate the valueIt is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. The estimate of the number 7th grader who play in the school band will be:
= 60 / 200 × 400
= 120
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5-D rocess The perimeter of a rectangle is 60 meters. The length of the rectangle is 3 more than twice the width. What is the length and width of the rectangle?
Answers
Answer:
Width: [tex]9[/tex] Length: [tex]21.[/tex]
Step-by-step explanation:
Let's say [tex]l[/tex] is the length, and [tex]w[/tex] is the width. We can rewrite [tex]l[/tex] as [tex]2w + 3.[/tex] So [tex]2(2w + 3) + 2w = 60,\\4w + 6 + 2w = 60,\\6w + 6 = 60,\\6w = 54,\\w = 9.\\[/tex]So the length of the rectangle is [tex]2 \cdot 9 + 3 = 21[/tex] and the width is [tex]9.[/tex]
Hope that helps!
Square ABCD has diagonal AC with vertices A(1, 1) and C(3, — 1). Find the coordinates of the
remaining vertices.
The coordinates are
Answers
Answer:
The coordinates of the remaining vertices are (1, -1) and (3, 1).
Step-by-step explanation:
A square is a quadrilateral with with four sides of equal length. It has two sets of parallel sides and its interior angles are all right angles. Therefore, each vertex shares its x-coordinate with one adjacent vertex, and its y-coordinate with the other adjacent vertex.
If AC with vertices A(1, 1) and C(3, -1) is the diagonal of a square, the coordinates of the remaining vertices will be:
[tex](x_A, y_C)=(1,-1)[/tex][tex](x_C, y_A)=(3,1)[/tex]Need help quick with this problem!!!!
Answers
The product of a, b, and c is 27/8.
What is an expression?
In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, ×, ÷, and parentheses) that represents a quantity or a mathematical relationship. Expressions can be simple or complex, depending on the number of terms and the complexity of the operations involved.
The given expression is
[tex]\frac{6x^2y^{-1}}{\sqrt[4]{16x^5y^2} }[/tex]
To simplify the given expression and write it in the form of ax^by^c, we can start by using the properties of exponents and simplifying the numerator and denominator separately:
Numerator: [tex]6x^2y^(-1) = \frac{6x^2}{y}[/tex]
Denominator: [tex]\sqrt[4]{(16x^5y^2)} = (16x^5y^2)^{(1/4)} = 2x^{(5/4)}y^{(1/2)}[/tex]
Putting the simplified numerator and denominator together, we have:
[tex]\frac{6x^2y^{-1}}{\sqrt[4]{16x^5y^2}} = \frac{6x^2}{y} \cdot \frac{1}{2x^{5/4}y^{1/2}} = \frac{3}{\sqrt{2} \cdot x^{3/4}y^{3/2}}[/tex]
Now we can see that the given expression can be written in the form of ax^by^c, where a = 3, b = -3/4, and c = -3/2. Therefore, the product of a, b, and c is:
a * b * c = 3 * (-3/4) * (-3/2) = 27/8.
Hence, the product of a, b, and c is 27/8.
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the company has to supply a minimum of 12 water tankers and a maximum of 16 water tankers to the construction site on weekdays except on Saturdays which is limited to the minimum of 4 water tankers a day. Calculate the total number of water loads that were supplied to the project on the constitution site by the water tanker in March 2022
Answers
Note that in order to solve the above, we had to assume a start date for the construction. Hence, by March 2022, a total number of liters supplied is 3,380,000 liters.
What is the rationale for the above response?
To solve the problem, we need to know how many weekdays are in March 2022. March 2022 has 23 weekdays (31 days - 4 Saturdays - 4 Sundays).
Since the company has to supply a minimum of 12 water tankers and a maximum of 16 water tankers to the construction site on weekdays, we can assume an average of 14 water tankers per weekday. Therefore, the total number of water tankers to be supplied on weekdays in March 2022 would be:
14 water tankers/day x 23 weekdays = 322 water tankers
On Saturdays, the company has to supply a minimum of 4 water tankers. Since there are 4 Saturdays in March 2022, the total number of water tankers to be supplied on Saturdays in March 2022 would be:
4 water tankers/day x 4 Saturdays = 16 water tankers
Therefore, the total number of water tankers to be supplied in March 2022 would be:
322 water tankers (weekdays) + 16 water tankers (Saturdays) = 338 water tankers.
Assuming each water tanker carries a load of 10,000 liters, the total volume of water supplied to the construction site in March 2022 would be:
338 water tankers x 10,000 liters/tanker = 3,380,000 liters
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Full Question:
The company has to supply a minimum of 12 water tankers and a maximum of 16 water tankers to the construction site on weekdays except on Saturdays which is limited to the minimum of 4 water tankers a day. Assuming the start month for the construction was February 2022, Calculate the total number of water loads that were supplied to the project on the constitution site by the water tanker in March 2022
please help me out ty!
1. Rectangle reports operating cash flows of $3.59 billion, investing cash flows of $0.59 billion, and financing cash flows of -$4.18
billion.
2. Circle reports operating cash flows of $1.39 billion, investing cash flows of -$0.29 billion, and financing cash flows of -$1.38 billion.
The beginning cash amount is $0.69 billion.
3. Pentagon reports operating cash flows of $0.08 billion, investing cash flows of $0.62 billion, and a change in total cash of $0.05
billion.
4. Square reports operating cash flows of $0.59 billion, financing cash flows of $0.41 billion, and a change in total cash of $0.01 billion.
5. Hexagon reports investing cash flows of -$1.40 billion, financing cash flows of $1.02 billion, and a change in total cash of $0.01
billion.
(Net cash outflows should be indicated with a minus sign. Enter your answers in billions rounded to 2 decimal places.)
Required:
1. What is the amount of the change in total cash of Rectangle?
2. What is the ending cash amount of Circle?
3. What is the amount of cash flows from financing activities of Pentagon?
4. What is the amount of cash flows from investing activities of Square?
5. What is the amount of cash flows from operating activities of Hexagon?
1. Change in total cash
2. Ending cash amount
3. Amount of outflows
4. Amount of outflows
5. Amount of inflows
Answers
To get the cash flows from operating activities, we subtract this from the change in total cash, which is $0.01 billion, to get -$0.39 billion. Rounding to two decimal places, we get -$1.01 billion).
What is algebraic expression ?
An algebraic expression is a combination of variables, numbers, and mathematical operations, such as addition, subtraction, multiplication, and division. It can be used to represent a mathematical relationship or formula and can be simplified or evaluated using algebraic rules.
The change in total cash of Rectangle is $0.02 billion (3.59 - 0.59 - 4.18 = -0.98, which is rounded to -$1.00 billion, and then added to the beginning cash amount of $0.69 billion to get $0.69 - $1.00 = -$0.31 billion or -$0.31/100 = -$0.02 billion).
The ending cash amount of Circle is $0.72 billion (1.39 - 0.29 - 1.38 = -0.28, which is added to the beginning cash amount of $0.69 billion to get $0.41 billion or $0.41/100 = $0.72 billion).
The amount of cash flows from financing activities of Pentagon is -$0.55 billion (the change in total cash of $0.05 billion is the sum of the operating cash flows and investing cash flows, which is $0.08 billion + $0.62 billion = $0.70 billion. To get the cash flows from financing activities, we subtract this from the change in total cash, which is $0.05 billion, to get -$0.65 billion. Rounding to two decimal places, we get -$0.55 billion).
The amount of cash flows from investing activities of Square is -$0.40 billion (the change in total cash of $0.01 billion is the sum of the operating cash flows and financing cash flows, which is $0.59 billion + $0.41 billion = $1.00 billion. To get the cash flows from investing activities, we subtract this from the change in total cash, which is $0.01 billion, to get -$0.99 billion. Rounding to two decimal places, we get -$0.40 billion).
The amount of cash flows from operating activities of Hexagon is -$1.01 billion (the change in total cash of $0.01 billion is the sum of the investing cash flows and financing cash flows, which is -$1.40 billion + $1.02 billion = -$0.38 billion.
Therefore, To get the cash flows from operating activities, we subtract this from the change in total cash, which is $0.01 billion, to get -$0.39 billion. Rounding to two decimal places, we get -$1.01 billion).
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There are 20 circles and 8 squares. What is the simplest ratio of squares to circles?.
Answers
When there are 20 circles and 8 squares, the simplest ratio of squares to circles is equals to the 2/5.
We have some numbers of circles and squares. The number of circles = 20
The number of squares = 8
Ratio is number which expressed that how many times one number is contains other one. The symolically represention of ratio is "/" or " : ". If a and b are two numbers then "a/b or a : b " represents 'a' ratio 'b'. For example, if we consider eight apples and six mangoes in a bowl of fruit, then the ratio of apples to mangoes is equal eight to six, i.e., 8 : 6 or 4:3. Now, we have to determine the ratio of squares to circles. Comparing the square and circles with a and b then the ratio of squares to circles is 8 : 20 or 8/20. But we want simplfy form of ratio so,
simplfy it by dividing the upper and lower parts of ratio with the common factor of 8, 20 that is 4.
=>( 8/4)/(20/4)
=> 2/5
Hence, required ratio is 2/5.
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What are the outliers in the data set? How do you know that they are outliers?
Answers
Step-by-step explanation:
you have to find your five number summary
Naomi has seven times as many marbles as Cindy. Naomi has 42 marbles. Which equation and solution
represent the number of marbles, m, Cindy has?
Answers
on sundays tucker pickes up donuts for his family.he take $25 with him and a box of dozen donuts cost $6.50 fill in the equation thats represent the relationship between how much money tucker brought and how many boxes of donuts (d) he can buy
Answers
The number of boxes of donuts he can buy is 3.
What is an expression?An expression contains two variables or numbers with addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
A box of dozen donuts costs = $6.50
Amount taken = $25
The number of boxes of donuts he can buy.
= 25 ÷ 6.50
= 3.85
Thus,
The number of boxes of donuts he can buy is 3.
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ADEF~ AJHI; Find EF.
D
G
9
E
x+8
F
H
3x-2
+
K
14
H
Answers
Answer:
EF = 18
Step-by-step explanation:
Given similar triangles DEF and JHI, midpoints G and K of sides DE and HI, with sides marked GF=9, EF=x+8, KI=14, HI=3x-2, you want to know the length of EF.
ProportionCorresponding sides in similar triangles are proportional. This means ...
EF/GF = HI/KI
(x+8)/9 = (3x-2)/14 . . . . substitute given values
14(x +8) = 9(3x -2) . . . . multiply by 14·9
14x +112 = 27x -18 . . . . eliminate parentheses
130 = 13x . . . . . . . . . . . add 18-14x
10 = x . . . . . . . . . . . . . divide by 13
Now, we can find EF:
EF = x+8 = 10 +8
EF = 18
A boat heading out to sea starts out at Point A, at a horizontal distance of 1246 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 14°. At some later
time, the crew measures the angle of elevation from point B to be 5°. Find the
distance from point A to point B. Round your answer to the nearest tenth of a foot if
necessary.
Answers
Answer:2304.9
Step-by-step explanation:
Answer:
2304.9 ft
Step-by-step explanation:
You want the distance from point A, which is 1246 ft horizontally from a lighthouse to point B, given the angles of elevation to the light are 14° and 5° from points A and B, respectively.
TangentThe tangent relation for sides in a right triangle is ...
Tan = Opposite/Adjacent
In a model of this geometry, the height (h) of the lighthouse is the side opposite the angle of elevation. This lets us write two equations:
tan(14°) = h/1246
tan(5°) = h/(1246 +d) . . . . . where d is the distance from A to B
SolutionSolving these equations for d, we have ...
h = 1246·tan(14°) = (1246+d)·tan(5°)
d·tan(5°) = 1246·(tan(14°) -tan(5°))
d = 1246·(tan(14°)/tan(5°) -1) ≈ 2304.9 . . . . feet
The distance from point A to point B is about 2304.9 feet.
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please help me bro
………
Answers
The slope and y - intercept are -1/3 and - 8 while the equation of line is
y = -1/3x - 8
What is equation of lineTaking two points from the graph attached;
A = (-6, -6)
B = (0, -8)
We can find the slope of the line as;
slope (m) = y₂ - y₁ / x₂ - x₁
m = -8 - (-6) / 0 - (-6)
m = -8 + 6 / 6
m = -2 / 6
m = -1/3
Using the slope and any point, we can find the y - intercept of the graph. This can also be easily calculated by simply looking for where the graph crossing the y -axis.
This point is at -8 and the y - intercept is -8
The equation of the line will be written as y = -1/3x - 8
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PLEASE ANSWER I WILL MARK YOU AS BRAINLIEST
Oz Jeans has factories in Medney and Selbourne. At the Mydney factory, fixed costs are $28 000 per month and the cost of producing each pair of jeans is $30. At the Selbourne factory, fixed costs are $35 2000 per month and the cost of producing each pair of jeans is $24. During the next month Oz Jeans must manufacture 6000 pairs of jeans. Calculate the production order for each factory, if the total manufacturing costs for each factory are to be the same.
Answers
The total manufacturing costs for each factory are to be the same is M = 3318.52.
Let's denote the number of pairs of jeans produced at the Medney factory as M, and the number of pairs of jeans produced at the Selbourne factory as S.
We can set up the following system of equations based on the given information:Total cost of production at the Medney factory = Total cost of production at the Selbourne factory
28000 + 30M = 35200 + 24S
Total number of pairs of jeans produced = 6000
M + S = 6000
We can solve for M and S by using substitution or elimination. Here, we will use substitution:
M + S = 6000 (from equation 2)
M = 6000 - S (subtracting S from both sides)
28000 + 30M = 35200 + 24S (from equation 1)
Substituting M = 6000 - S:
28000 + 30(6000 - S) = 35200 + 24S
180000 - 30S = 35200 + 24S
180000 = 54S + 35200
54S = 144800
S = 2681.48
So the number of pairs of jeans produced at the Selbourne factory is approximately 2681.48. To find the number of pairs of jeans produced at the Medney factory, we can substitute this value of S back into equation 2:
M + S = 6000
M + 2681.48 = 6000
M = 3318.52
So the number of pairs of jeans produced at the Medney factory is approximately 3318.52.
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The table of values shows the height of a Ferris wheel car as it travels in a circular motion. Select each true statement.
A:The car makes a complete revolution in 10 seconds
B:The maximum height of the Ferris wheel is 65 feet
C:The radius of the Ferris wheel is 35 feet
D:If the car is loaded at 0 seconds, then the people are loaded at the lowest point of the Ferris wheel.
Answers
The following statements are true:
A:The car makes a complete revolution in 10 seconds
B:The maximum height of the Ferris wheel is 65 feet
What is revolution ?A full rotation or turning around a focal point is referred to as a revolution. Revolution is the act of rotating around a fixed point or axis . Examples of this include the rotation of a planet around its star or a wheel around its axle.
A. The car makes a complete revolution in 10 seconds:
This can be deduced from the fact that the height of the Ferris wheel car returns to 35 feet after 10 seconds, which means that it has completed one full revolution.
B. The maximum height of the Ferris wheel is 65 feet:
This can be seen from the table, where the height of the Ferris wheel car reaches 65 feet at 2.5 seconds and 12.5 seconds.
C. If the car is loaded at 0 seconds, then the people are loaded at the lowest point of the Ferris wheel: This can be seen from the table, where the height of the Ferris wheel car is 35 feet at 0 seconds.
It is not possible to determine the radius of the Ferris wheel based on the given information alone.
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Solve for y
Y-18=b
Need help please.
Answers
Answer:
y = 18 + b
Step-by-step explanation:
Add 18 to both sides
y = 18 + b
a grocery store got a delivery of 24 pounds of almonds into containers of 0.75 pounds of almonds in each how many containers can they fill with almonds?
Answers
Answer:32
Step-by-step explanation: 24 divided by .75=32
Assume you have interest in only two goods: food and environmental quality. That is, these
goods are the only ones that provide utility to you. Consider the following graph:
Answers
This curve symbolizes the curve of indifference. Those combinations of quantities that the customer considers to be of equal value are connected by a curve on a graph whose axes reflect amounts of two commodities.
Why is it called indifference curve?It dislikes all product combinations that offer the same level of enjoyment to the consumer. Because each combination provides the same level of enjoyment, the buyer Favours them all equally. The indifference curve therefore gets its name.
An indifference curve is a graphic representation of a collection of products that give consumers comparable levels of satisfaction, leading to their indifference. A consumer or person is indifferent between the two products at every point on the indifference curve because they provide the same kind of benefit.
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Neeed help!!!!!!!!!!!!!!
Answers
An area of a rectangle is 32x¹²y⁹ square inches and the length is 8x⁴y³ therefore the expression which represents the width of the rectangle in inches is 4x⁸y⁶.
What is a Rectangle?
This is referred to as a quadrilateral with four right angles.
Area of rectangle = Length × width
Width = Area/ Length
= 32x¹²y⁹ / 8x⁴y³
= 4x⁸y⁶
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Algebra 2, Exponental Funtction.
Answers
The numeric value of the exponential function at x = 19.5 is given as follows:
f(19.5) = 178.41.
How to model an exponential function?The standard definition of an exponential function is given as follows:
y = ab^x.
In which:
a is the initial value, the value of y when x = 0.b is the rate of change.Considering that f(4.5) = 25 and f(14) = 85, the two equations are given as follows:
ab^(4.5) = 25.ab^(14) = 85.Hence:
a = 25b^(-4.5).
Then the value of b is obtained as follows:
25b^(-4.5)b^(14) = 85.
b^(9.5) = 85/25
b = (85/25)^(1/9.5)
b = 1.14.
Then the value of a is obtained as follows:
a = 25 x (1.14)^(-4.5)
a = 13.86.
Then the function is defined as follows:
y = 13.86(1.14)^x.
At x = 19.5, the numeric value is given as follows:
y = 13.86(1.14)^19.5
y = 178.41.
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MODELING REAL LIFE: You have a total of 42 math and science problems for homework. You have 10 more math problems than science problems. How many problems do you have in each subject. a) Use x to represent math problems and y to represent science problems. Write an equation that represents the number of problems you have.
Answers
Examine the figure below, solve for a, round to the nearest whole number.
T
37
A
46⁰
28
D
Answers
The measure of a from the triangle ATD is 27 units. Therefore, the option B is the correct answer.
What is sine rule?Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
The formula for sine rule is sinA/a=sinB/b=sinC/c
From the given triangle ADT, ∠A=46°, ∠D=84°, AT=37, AD=t and TD=a.
By angle sum property,
∠A+∠D+∠T=180°
46°+84°+∠T=180°
130°+∠T=180°
∠T=50°
sin46°/a=sin84°/37=sin50°/t
0.7193/a=0.9945/37=0.7660/t
0.7193/a=0.9945/37
0.9945a=0.7193×37
0.9945a=26.6141
a=26.6141/0.9945
a=26.76
≈27
0.9945/37=0.7660/t
0.9945t=0.7660×37
0.9945t=28.342
t=28.342/0.9945
t=28.5
Therefore, the option B is the correct answer.
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what is the pattern for each hypotenuse in the pythagorean spiral?
i have:
Hypotenuse = (Triangle # + 1) X 9
(square root the answer)
does this make sense?
Answers
The pattern for the hypotenuse in the Pythagorean spiral is √(a² + b²)
How to get the patternThe Pythagorean spiral is formed by drawing squares whose side lengths are given by the Pythagorean triples, which are sets of three positive integers (a, b, c) that satisfy the equation a² + b² = c².
In the Pythagorean spiral, the hypotenuse of each square is the diagonal of the square, which is given by the square root of the sum of the squares of the sides. For a square with side lengths a and b, the hypotenuse (diagonal) is given by:
√(a² + b²)
Since the side lengths of each square in the Pythagorean spiral are given by the Pythagorean triples, the hypotenuse of each square can be calculated using the Pythagorean theorem. Therefore, the pattern for each hypotenuse in the Pythagorean spiral is that it is given by the square root of the sum of the squares of the side lengths, where the side lengths are integers that form a Pythagorean triple.
Read more on Pythagorean theorem here:https://brainly.com/question/343682
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