Volume of a Cylinder​

Volume Of A Cylinder

Answers

Answer 1

The volume is 54,437.52.

Answer 2

Answer:

54,437.52 ( fifty four thousand four hundred thirty seven and fifty two thousanths.)

Step-by-step explanation:


Related Questions

Here are the travel times in minutes of 19 randomly chosen New York workers:
5
10
15
15
15
15
20
20
20
20
30
30
40
40
45
60
60
65
85

1. Find the mean of the New York travel times.

Answers

32 because you add all the number the divide by the total amount witch is 19

What is the circumference of a circle with a radius of eight inches

Answers

Answer:

50.24 inches

[tex] \: [/tex]

Step-by-step explanation:

It is given that, the radius of a circle is 8 inches and we are to find the circumference of the circle.

[tex] \: [/tex]

To find the circumference of the circle we must know this formula first :

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Circumference_{(circle)}= 2 \pi r}}}}}} \: \: \bigstar \\ \\[/tex]

Where

r is the radius of the circle.

We'll take the value of π as 3.14

Now substituting the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{\sf{{ \: Circumference_{(circle)}= 2 \times 3.14 \times 8}}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{\sf{{ \: Circumference_{(circle)}= 3.14 \times 16}}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ { \pmb{\frak{{ \: Circumference_{(circle)}= 50.24}}}}}} \: \: \\ \\[/tex]

Therefore,

The circumference of the circle is 50.24 inches

Answer:

C = 50.24 in

Step-by-step explanation:

Given that,

→ Radius (r) = 8 in

Formula we use,

→ 2πr

The circumference of the circle will be,

→ 2πr

→ 2 × 3.14 × 8

→ 6.28 × 8

→ [ 50.24 in ]

Hence, the circumference is 50.24 in.

Can someone help please

Answers

Answer:

24sq.ft

Step-by-step explanation:

Area of a parallelogram = Base*Height

Here,

Base = 6ft, Height = 4ft

6*4ft

24sq.ft

While writing area of a figure, we have to express the area in sq which means square

ThankYou

Please mark me as brainliest

HELP! Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the
rounded values to calculate the next value. Round your final answer to the nearest tenth.

Answers

Answer:

b

Step-by-step explanation:

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 5 child bikes and 15 adult bikes in a week. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:

C

Step-by-step explanation:


Kim is earning money for a trip. She has saved $60 and she earns $10 per hour babysitting. The total amount of money earned
(y) after (x) number of hours worked is given by the equation y = 10x + 60.
How many hours will she need to work in order to earn $300 for her trip?

Answers

Answer:

x=24

Step-by-step explanation:

you need 300.

10x + 60?

10 x 3 = 300

300 - 60 = 240

300 = (10 x 24) + 60

HELP ASAP PLEAse!!! HOW DO YOU FIND THE LATERAL AREA OF THE TRIANGLE, (ALREADY GOT SURFACE AREA CORRECT), PLEASE ROUND IT TO THE NEAREST HUNDRETH

Answers

172.9

You find it by multiplying each side of the triangle by the height (9) and adding the results together.

A(lateral) = 8 * 9.1 + 3 * 9.1 + 8 * 9.1
= 72.8 + 27.3 + 72.8
= 172.9

Example: I am shopping for school supplies at Target and I have $130 extra. I see air pods on sale for
$120. / want to determine if I have enough money to cover the total purchase price, including tax,
before i get to the register. Here's how I would organize the problem in my head (or on paper) to get
an accurate calculation...

Answers

To determine if you have enough money to buy this product, calculate the sales tax and the final price of the product.

How to calculate sales tax?

Sales tax is usually expressed as a percentage. Moreover,  this percentage can slighly change depending on the state where you live.

Here is an example:

Sales tax in texas: 6.25%Price of the product / 100 x 6.25130/ 100 = 1.3 x 6.25 = 8.12

Final price = 138.12

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A cube has a volume of 216 cubic inches. What is the width of the cube?

Answers

Answer:

6

Step-by-step explanation:

Find the cube root of 216

A box of apples has a mass of 6.2 kilograms. How many grams is equivalent to 6.2 kilograms?

Answers

6200 grams are equivalent to 6.2 kilograms

A customer spent no more than $500 for a television
and a mounting kit. The customer expected to pay a
minimum of $300 for the television but actually paid
at least $75 more than that. What is the maximum
amount, in dollars, the customer could have spent for
the mounting kit after purchasing the television?
(Disregard the $ sign when gridding your answer.

Answers

The maximum amount, in dollars, the customer could have spent for the mounting kit after purchasing the television is $125.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the customer spend $x on television, and $y on mounting kit.

x + y = 500

x = 300 + 75 = 375

y = 500 - 375 = $125

Thus, the maximum amount, in dollars, the customer could have spent for the mounting kit after purchasing the television is $125.

Learn more about the linear equation here:

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Find the domain and range.

Answers

Answer:

Domain is all real #s

Range is (-∞, 4]  or y < 4

Step-by-step explanation:

These are Questions/answers for #1, 2, 3, 17, 18, 19 & 20 if you can't see what it says in the picture (Please answer all questions in correct order)

#1.Given w = −96i −180j, what are the magnitude and direction of −4w? Round the answers to the nearest whole number.

204; 62°

816; 62°

204; 242°

816; 242°


# 2. A basketball player shoots a free throw, where the position of the ball is modeled by x = (24cos 48°)t and y = 6.1 + (24sin 48°)t − 16t 2. What is the height of the ball, in feet, when it is 13 feet from the free throw line? Round to three decimal places.

10.053

10.292

10.673

11.025


#3.Vectors u and v are shown on the graph.

vectors u and v share an initial point and vector u points down 8 units and vector v points to the right 6 units

Which of the following vectors represents u + v? (Please put/show a graph if you can)


17.What are the magnitude and direction of u + v + w? Round the magnitude to three decimal places and the direction to the nearest degree.

53.241; 355°

52.822; 355°

53.241; 5°

52.822; 5°


#18. Which point represents z1 + z2?

P

Q

R

S


Question 19. A barge is being towed by two tugboats, using ropes with force vectors as shown.

Two vectors named F sub 1 and F sub 2 that share an initial point from the barge each pointing to a different tugboat

Given vector F sub 1 equals open angled bracket 12000 comma 7000 close angled bracket and vector F sub 2 equals open angled bracket 14500 comma negative 5000 close angled bracket comma what is the angle between the ropes? Round to the nearest degree.

31°

33°

49°

54°


Question 20.Given v = 8i − 3j and w = −12i + 4j, find 7v − 2w.

−80i − 29j

−80i + 29j

80i − 29j

80i + 29j

Answers

Answer:

See below for answers and explanations (along with a graph for #3)

Step-by-step explanation:

Problem #1

Applying scalar multiplication, [tex]-4w=-4\langle-96,-180\rangle=\langle384,720\rangle[/tex].

Its magnitude would be [tex]||-4w||=\sqrt{384^2+720^2}=816[/tex].

Its direction would be [tex]\displaystyle\theta=tan^{-1}\biggr(\frac{720}{384}\biggr)\approx61.927^\circ\approx62^\circ[/tex].

Thus, B) 816; 62° is the correct answer

Problem #2

Find the time it takes for the ball to cover 13ft:

[tex]x=(24\cos48^\circ)t\\13=(24\cos48^\circ)t\\t\approx0.8095[/tex]

Find the height of the ball at the time it takes for the ball to cover 13ft:

[tex]y=6.1+(24\sin48^\circ)t-16t^2\\y=6.1+(24\sin48^\circ)(0.8095)-16(0.8095)^2\\y\approx10.053[/tex]

Thus, A) 10.053 is the correct answer

Problem #3

We have [tex]u=\langle0,-8\rangle[/tex] and [tex]v=\langle6,0\rangle[/tex] as our vectors. Thus, [tex]u+v=\langle0+6,-8+0\rangle=\langle6,-8\rangle[/tex]. Attached below is the correct graph. You can also solve the problem visually by using the parallelogram method where the resultant vector is the diagonal of the parallelogram.

Problem 4 (#7)

[tex]\displaystyle t \cdot v=(7)(-10)+(-3)(-8)=-70+24=-46[/tex]

Thus, C) -46 is the correct answer

Problem 5 (#8)

Find [tex]r[/tex] and [tex]\theta[/tex]:

[tex]r=\sqrt{x^2+y^2}=\sqrt{2^2+(-8)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}\approx8.246[/tex]

[tex]\displaystyle\theta=tan^{-1}\biggr(\frac{y}{x}\biggr)=tan^{-1}\biggr(\frac{-8}{2}\biggr)\approx-75.964^\circ[/tex]

Find the true direction angle accounting for Quadrant IV:

[tex]\theta=360^\circ-75.964^\circ=284.036^\circ[/tex]

Write the complex number in polar/trigonometric form:

[tex]z=8.246(\cos284.036^\circ+i\sin284.036^\circ)[/tex]

Thus, C) 8.246(cos 284.036° + i sin 284.036°) is the correct answer

Problem 6 (#12)

Eliminate the parameter and find the rectangular equation:

[tex]x=3t\\\frac{x}{3}=t\\ \\y=t^2+5\\y=(\frac{x}{3})^2+5\\y=\frac{x^2}{9}+5\\9y=x^2+45\\0=x^2-9y+45\\x^2-9y+45=0[/tex]

Thus, D) x^2-9y+45=0 is the correct answer

Problem 7 (#13)

Find the magnitude of the vector:

[tex]||v||=\sqrt{(-77)^2+36^2}=85[/tex]

Find the true direction of the vector accounting for Quadrant II:

[tex]\displaystyle \theta=tan^{-1}\biggr(\frac{36}{-77}\biggr)\approx-25^\circ=180^\circ-25^\circ=155^\circ[/tex]

Write the vector in trigonometric form:

[tex]w=85\cos155^\circ i+85\sin155^\circ j[/tex]

Thus, D) w=85cos155°i+85sin155°j is the corrwect answer

Problem 8 (#15)

[tex]\frac{z_1+z_2}{2}=\frac{(3-7i)+(-9-19i)}{2}=\frac{-6-26i}{2}=-3-13i=(-3,-13)[/tex]

Thus, C) (-3,-13) is the correct answer

Problem 9 (#16)

Treat the golf ball and wind as vectors:

[tex]u=\langle1.3\cos140^\circ,1.3\sin140^\circ\rangle[/tex] <-- Golf Ball

[tex]v=\langle1.2\cos50^\circ,1.2\sin50^\circ\rangle[/tex] <-- Wind

Add the vectors:

[tex]u+v=\langle1.3\cos140^\circ+1.2\cos50^\circ,1.3\sin140^\circ+1.2\sin50^\circ\rangle\approx\langle-0.225,1.755\rangle[/tex]

Find the magnitude of the resultant vector:

[tex]||u+v||=\sqrt{(-0.225)^2+1.755^2}\approx1.769[/tex]

Find the true direction of the resultant vector accounting for Quadrant II:

[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{1.755}{-0.225}\biggr)\approx-82.694^\circ\approx-83^\circ=180^\circ-83^\circ=97^\circ[/tex]

Thus, B) 1.769 m/s; 97° is the correct answer

Problem 10 (#17)

Identify the vectors and add them:

[tex]u+v+w=\langle50\cos20^\circ,50\sin20^\circ\rangle+\langle13\cos90^\circ,13\sin90^\circ\rangle+\langle35\cos280^\circ,35\sin280^\circ\rangle=\langle50\cos20^\circ+13\cos90^\circ+35\cos280^\circ,50\sin20^\circ+13\sin90^\circ+35\sin280^\circ\rangle=\langle53.062,-4.367\rangle[/tex]

Find the magnitude of the resultant vector:

[tex]||u+v+w||=\sqrt{53.062^2+(-4.367)^2}\approx53.241[/tex]

Find the true direction of the resultant vector accounting for Quadrant IV:

[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{-4.367}{53.062}\biggr)\approx-4.705^\circ\approx-5^\circ=360^\circ-5^\circ=355^\circ[/tex]

Thus, A) 53.241, 355° is the correct answer

Problem 11 (#18)

We observe that [tex]z_1=-8-6i[/tex] and [tex]z_2=4-4i[/tex], hence, [tex]z_1+z_2=(-8-6i)+(4-4i)=-4-10i[/tex]

Thus, Q is the correct answer

Problem 12 (#19)

Find the dot product of the vectors:

[tex]F_1\cdot F_2=(12000*14500)+(7000*-5000)=174000000+(-35000000)=139000000[/tex]

Find the magnitude of each vector:

[tex]||F_1||=\sqrt{12000^2+7000^2}=1000\sqrt{193}\\||F_2||=\sqrt{14500^2+(-5000)^2}=500\sqrt{941}[/tex]

Find the angle between the two vectors:

[tex]\displaystyle \theta=\cos^{-1}\biggr(\frac{F_1\cdot F_2}{||F_1||||F_2||}\biggr)\\ \theta=\cos^{-1}\biggr(\frac{139000000}{(1000\sqrt{193})(500\sqrt{941})}\biggr)\\\theta\approx49.282^\circ\approx49^\circ[/tex]

Thus, C) 49° is the correct answer

Problem 13 (#20)

Using scalar multiplication, [tex]7v-2w=7\langle8,-3\rangle-2\langle-12,4\rangle=\langle56,-21\rangle-\langle-24,8\rangle=\langle56-(-24),-21-8\rangle=\langle80,-29\rangle=80i-29j[/tex]

Thus, A) -80i - 29j is the correct answer

Type The Correct Answer.

Answers

Answer:

6.3

Step-by-step explanation:

151.2/24 in order to find out how many miles he drove per day

the answer is 6.3 miles per day

Answer:

6.3 Miles

Step-by-step explanation:

just divide 151.2 by 24.

solve the inequality: |6w+2|-6>8

Answers

Answer:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Step-by-step explanation:

The solution is given

[tex] |6x + 2| - 6 > 8[/tex]

[tex] |6x + 2| > 8 + 6[/tex]

[tex] |6x + 2| > 14[/tex]

Now wit will be swprated into two parts

First part

[tex]6x + 2 > 14 [/tex]

[tex]6x > 14 - 2[/tex]

[tex]x > 12 \div 6[/tex]

[tex]x > 8[/tex]

The second part is

[tex]6x + 2 > - 14[/tex]

[tex]6x > - 14 - 2[/tex]

[tex]x > - 16 \div 6[/tex]

This question has two answers

6-16/6

Can you help me with the top question please I’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question:

What is the probability of correctly guessing at random exactly one correct answer? Round your answer to the nearest whole number.

Answers

Answer:

¿Cuál es la probabilidad de aprobar un examen al azar?

Resultado de imagen para ¿Cuál es la probabilidad de adivinar correctamente al azar exactamente una respuesta correcta?

La probabilidad de acertar respondiendo al azar una pregunta es de una entre cuatro: 1/4 = 0.25. Normalmente decimos un 25% de probabilidad de acertar. La probabilidad de fallar sería tres entre cuatro: 3/4 = 0.75. O sea un 75%.

Step-by-step explanation:

this is the best ✔️ 5+(2-3)49_.56837659=0-9

Step-by-step explanation:

0 upto 9

A number is chosen at random from 1 to 50. Find the probability of see tiny multiples of 12

Answers

Answer:

4/50

Step-by-step explanation:

12,24,36,48 are multiples of 12

help me please…………….

Answers

Answer:

The answer is e. (x - 10 * y^2 * z) (x + 10 *y^2 *z)

Step-by-step explanation:

To explain it test all the options by distributing them.

Using an online website that I plugged into the calculator to factory gets answer e.

f(x) = e^-x . Find the equation of the tangent to f(x) at x=-1​

Answers

Answer:

The equation of the tangent line is given by the following equation:

[tex]\displaystyle y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg)[/tex]

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinatey₁ - y coordinatem - slope

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:
[tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:
[tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

*Note:

Recall that the definition of the derivative is the slope of the tangent line.

Step 1: Define

Identify given.

[tex]\displaystylef(x) = e^{-x} \\x = -1[/tex]

Step 2: Differentiate

[Function] Apply Exponential Differentiation [Derivative Rule - Chain Rule]:
[tex]\displaystyle f'(x) = e^{-x}(-x)'[/tex][Derivative] Rewrite [Derivative Rule - Multiplied Constant]:
[tex]\displaystyle f'(x) = -e^{-x}(x)'[/tex][Derivative] Apply Derivative Rule [Derivative Rule - Basic Power Rule]:
[tex]\displaystyle f'(x) = -e^{-x}[/tex]

Step 3: Find Tangent Slope

[Derivative] Substitute in x = 1:
[tex]\displaystyle f'(1) = -e^{-1}[/tex]Rewrite:
[tex]\displaystyle f'(1) = \frac{-1}{e}[/tex]

∴ the slope of the tangent line is equal to  [tex]\displaystyle \frac{-1}{e}[/tex].

Step 4: Find Equation

[Function] Substitute in x = 1:
[tex]\displaystyle f(1) = e^{-1}[/tex]Rewrite:
[tex]\displaystyle f(1) = \frac{1}{e}[/tex]

∴ our point is equal to  [tex]\displaystyle \bigg( 1, \frac{1}{e} \bigg)[/tex].

Substituting in our variables we found into the point-slope form general equation, we get our final answer of:

[tex]\displaystyle \boxed{ y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg) }[/tex]

∴ we have our final answer.

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

1. Dr. Orchid has 9 paintings she wants to hang side by side on her wall.
(a) In how many ways can she arrange all 9 paintings? Show your work.
(b) If she only wants to display 4 of the paintings, in how many ways can she choose the paintings she
wishes to display? Show your work.
Answer:

Answers

The number of ways to arrange the 9 paintings is 362880, and there are 126 ways to display only 4 out of the 9 paintings

Part A: The number of arrangements.

The number of paintings is given as:

n = 9

The number of arrangement is then calculated using:

n! = 9!

Evaluate the factorial

n! = 362880

Part B: The number of selection

To select 4 paintings from a total of 9, we make use of the following combination formula

Ways  = 9C4

Evaluate the above expression using a calculator

Ways  = 126

Hence, there are 126 ways to display only 4 out of the 9 paintings

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Volume of rectangle and triangle problem. The one that has no answer

Answers

Answer:

6825 in^3

Step-by-step explanation:

First break the shape into two shapes a square prism and triangular prism

the volume of a square prism is equal to s^2 * h

and the volume of a triangular prism is 1/2 b * l *h

square prism:

v = s^2 * h

v = 13^2 * 30

v = 5070 in^3

triangular prism:

v = 1/2 b * l * h

v = 1/2 * 9 * 30 * 13

v = 1755 in^3

then you add the two volumes to get the total volume

5070 + 1755 = 6825 in^3

Simplify these expressions.
a. 6ab + (–3x) + 2ab
b. 12x + 4y + (–3x)
c. 6w + (–2y) + 3w
d. 4abc + (–9abc) + 10d

Answers

Answer:

a. 6ab +( - 3x) + 2ab

=6ab - 3x +2ab

=6ab + 2ab - 3x

=8ab - 3x

Step-by-step explanation:

Eliminated the brackets first

Collected like terms

Then I solved

Need some help please

Answers

Answer:

Step-by-step explanation :

A farmer who only sells produce to local residents in his town wishes to expand to a neighboring city. The farmer calls everyone in the phone book with a last name starting with "S" in the neighboring city and asks them if they would be interested in buying the produce. 242 told the farmer that they would be interested, 576 said they would not be interested and 138 refused to answer. Which statement is true?


The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.


The population of the survey is the 242 that said they would be interested.


The population of the survey is all residents of the neighboring city whose phone number is listed.


The survey sample includes current customers.

Answers

Answer:

The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.

Step-by-step explanation:

that one makes the most sense

Find the Volume. 4 1/2 ft 3 ft 7 1/5​

Answers

Answer:

97.2 ft

Step-by-step explanation:

4 1/2*3*7 1/5=13.5*7.2=

97.2

Can someone explain why this equation equals 2?

Answers

Answer:

bc it dose

Step-by-step explanation:

Mrs. Reynolds has $153. She buys a bicycle for $105.
Then, she finds $20 at the bottom of her purse.
How much money does she have now? Use the bar diagrams to help you.

Step 1:

Step 1: a bar diagram shows 105 and m, the money left after buying a bike. Together 105 and m are equal to 153.



Step 2:

Step 2: a bar diagram shows that 20 and m is equal to s, the money now.

Enter your answer in the box.
Mrs. Reynolds has $
now.

Answers

The total amounts of money which Mrs. Reynolds now has according to the descriptions in the task content is; $68.

How much does Mrs. Reynolds have now?

It follows from the task content that;

Together 105 and m are equal to 153.20 and m is equal to s.

On this note;

105 + m = 153

m = 153 -105 = 48

Hence, it follows that the amount of money, s she has now is;

s = 48 + 20 = $68

Read more on addition and subtraction;

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Round 2566.36 to the nearest tenth​

Answers

the answer would be 2566.4
Explanation: Since 6 is above 5 it will allow the tenth place to move up one

A student incorrectly determined that the length of DE is 29 cm explaining that 12-7 = 5 and 36-7 = 29 explain what mistake the student may have made and why this is not correct way to determine the length of a DE what is the actual length of DE

Answers

Answer:

The length of the hypotenuse ≈ 39.7 cm

Explanation:

Since the given triangle is a right-angled triangle, this means that we can apply the Pythagorean theorem.

The equation for Pythagorean calculation is:

(hypotenuse)² = (first leg)² + (second leg)²

In the given, we have:

first leg = 30 cm

second leg = 26 cm

Substitute with the givens in the above equation to get the hypotenuse as follows:

(hypotenuse)² = (30)² + (26)²

(hypotenuse)² = 1576

This means that:

either hypotenuse = √1576 = 39.69 ≈ 39.7 cm ..........> accepted

or hypotenuse = -√1576 = -39.69 ......> rejected as length can't be negative

Hope this helps :)

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