Use the converse of the Pythagorean Theorem to check whether a triangle whose sides are of lengths​ 11, 60, and 61 is a right triangle.
First square the lengths of the sides.

11^2 =
60^2 =
61^2 =

Answers

Answer 1

Answer:

yes a right triangle

Step-by-step explanation:

Using the converse of Pythagoras' theorem.

If the square on the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 61 and 61² = 3721 , then

60² + 11² = 3600 + 121 = 3721

Since 61² = 60² + 11² then the triangle is right.


Related Questions

the length of a rectangle is 8cm and the height is 16cm find the answer of the above figures using this formular...

2(a + b) Perimeter
(B×H) Area​

Answers

Length=8cmBreadth=16cm(Height)

Perimeter:-

[tex]\\ \sf\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(16+8)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(24)[/tex]

[tex]\\ \sf\longmapsto Perimeter=48cm[/tex]

Area:-

[tex]\\ \sf\longmapsto Area=Length\times Breadth[/tex]

[tex]\\ \sf\longmapsto Area=8(16)[/tex]

[tex]\\ \sf\longmapsto Area=128cm^2[/tex]

How many hours will a car use to travel at speed of 10km per hour if the distance is 2 miles​

Answers

2 miles is >> 1.609344 * 2 = 3.2187 km
So
3.2187 / 10km = 0.3218 hours
Or 19.3 minutes

Solve the equation.
} (a + 2) = {(2-a)
WWW.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)

Answers

B…………..5,fcgxrceecevvwwve

A cube has a volume of 125 cubic inches. What is the length of each edge?
Enter your answer in the box.
(Needs to be in inches)

Answers

The formula for the volume of a cube is V = a^3.

We know the volume is 125 cubic inches.

125 = a^3

Take the third square root

5 = a

The length of each edge is 5 inches

Answer:

So the length of the edge of a cube with a volume of 125 is 5 inches

Step-by-step explanation:

All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power.

So if we take the edge of the cube to be of length x, then:

Volume=x3

125=x3

5=x

What is the y-intercept

Answers

Answer:

y-intercept is (0, 9)

Step-by-step explanation:

At y-intercept, x is 0

[tex]y = 9[/tex]

Answer: (0, 9)

Concept:

The y-intercept of a function is the point at which the graph of the function crosses the y-axis.

In other words, the y-intercept is the point when the x value is 0.

Solve:

Find the point where the x value is 0

It is the fourth from the left, where the x value is 0.

The y value is 9.

Finalize the point

x value is 0

y value is 9

Point = [tex]\boxed{(0, 9)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

38. Evaluate f (3x +4y)dx + (2x --3y)dy where C, a circle of radius two with center at the origin of the xy
C plane, is traversed in the positive sense.

please i need real time help

Answers

It looks like the integral is

[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy[/tex]

where C is the circle of radius 2 centered at the origin.

You can compute the line integral directly by parameterizing C. Let x = 2 cos(t ) and y = 2 sin(t ), with 0 ≤ t ≤ 2π. Then

[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \int_0^{2\pi} \left((3x(t)+4y(t))\dfrac{\mathrm dx}{\mathrm dt} + (2x(t)-3y(t))\frac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt \\\\ = \int_0^{2\pi} \big((6\cos(t)+8\sin(t))(-2\sin(t)) + (4\cos(t)-6\sin(t))(2\cos(t))\big)\,\mathrm dt \\\\ = \int_0^{2\pi} (12\cos^2(t)-12\sin^2(t)-24\cos(t)\sin(t)-4)\,\mathrm dt \\\\ = 4 \int_0^{2\pi} (3\cos(2t)-3\sin(2t)-1)\,\mathrm dt = \boxed{-8\pi}[/tex]

Another way to do this is by applying Green's theorem. The integrand doesn't have any singularities on C nor in the region bounded by C, so

[tex]\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \iint_D\frac{\partial(2x-3y)}{\partial x}-\frac{\partial(3x+4y)}{\partial y}\,\mathrm dx\,\mathrm dy = -2\iint_D\mathrm dx\,\mathrm dy[/tex]

where D is the interior of C, i.e. the disk with radius 2 centered at the origin. But this integral is simply -2 times the area of the disk, so we get the same result: [tex]-2\times \pi\times2^2 = -8\pi[/tex].

Please Help Me Do This I cant understand it no matter how hard I try. (Problem in the image)

Answers

9514 1404 393

Answer:

  7.28

Step-by-step explanation:

Consider the attachment. There, we have identified a point C that makes ABC a right triangle with the right angle at C.

The Pythagorean theorem gives you the relationship between side lengths of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.

  AB² = AC² +BC²

We can count grid squares to find the lengths of AC and BC. They are 2 units and 7 units, respectively. This means ...

  AB² = 2² +7²

  AB² = 2·2 +7·7 = 4 +49 = 53

When we know the square, we can find what it is the square of by taking the square root. Generally, a calculator is required for this.

  AB = √53 ≈ 7.2801099

When we round this number to two decimal places (the nearest hundredth), we get ...

  AB ≈ 7.28 . . . units

_____

Additional comments

You will notice that the length AC in the diagram is the difference of the x-coordinates of points A and B. Similarly, the length BC in the diagram is the difference of y-coordinates. Then the square AB² is the sum of the squares of these differences. The length AB is the square root of that sum.

In general, this is how you find the length of a line segment from its end point coordinates.

__

A little magic, perhaps: You may find that repeating the 11-digit number on the first line several times a day for a few days will help to moderate your difficulty understanding this. The numbers convey an energy that is intended to counteract the brain block that often arises when seeing a math problem.

A total of 574 tickets were sold for the school play. They were either adult tickets or student tickets. There were 74 more student tickets sold than adult tickets. How many adult tickets were sold?

411 is not correct

Answers

The answer is: 250 adult tickets were sold.

To be safe, prove that your answer is correct.

If there are 74 more student tickets than adult tickets, the amount of adult tickets must obviously be less.

Explanation:

74 more than 250, or 250+74 is 324.

250+324=574.

Now, you know the answer is correct. It satisfies all of the given conditions.

Also, note that the difference between the number of student tickets and adult tickets is 74.

So, there are 250 adult tickets and 324 student tickets.

A display case of plastic bracelets are marked 13 for $3. If Nate has $60, how many plastic bracelets can Nate get? (assume no other taxes or fees)

Answers

Answer:

$4

Step-by-step explanation:

We can write a ratio to solve

15 stickers       30 stickers

----------------- = -------------

2 dollars           x stickers

Using cross products

15x = 2*30

15x = 60

Divide by 15

15x/15 = 60/15

x = 4

Which equation does not have the same solution as the others

×/3 =3
X + 9 = 12
11 x= 33
X - 2 = 1

Answers

Answer:

the first cuz in

x/3 = 3

x = 9

and in others x = 3

...............

Answer:

x/3=3

Step-by-step explanation:

because is undiferned because x can not be x/3=3

I need help with this.

Answers

9514 1404 393

Answer:

  61.4

Step-by-step explanation:

The length of two semicircles of diameter 10 is the circumference of a circle of that diameter:

  C = πd = 10π ≈ 31.4

The perimeter includes that length plus the lengths of two straight sides that are 15 units each.

  P = 31.4 + 2×15

  P = 61.4 . . . . units

What’s the answer for 5g=20

Answers

g=4 because you have to divide both sides by 5 to figure out what g equals

which statement best describes f(x)=-2√x-7+1

Answers

it is under mapping and function

f of x is equal to -2 root x-7 plus one

3. Write a word phrase using 10x(14+11)

Answers

Answer:

10 multiplied by the sum of 14 and 11

Step-by-step explanation:

[tex].[/tex]

One week, Rachel earned $250. She spent $120 on food, $30 on miscellaneous items, and saved the rest.

If Rachel makes a pie chart showing how she spends her money, the central angle for the food sector would be __________.


187°


173°


90°


144°

Answers

250 is the total
120 is 48% of 250
A pie chart is a complete circle which is 360 degrees and 48% of 360 is 172.8 round that up to 173 degrees

The answer is 173

Francisco Typed a 36-word paragraph in minute. What is his typing speed, in
words per minute?

Answers

Answer:36

Step-by-step explanation:

It says he typed 36 words in a paragraph in a minute which means he types 36 per minute

find the length of BE BC=3x+47 DE=10 BD=x+27 CE=x+26

Answers

Answer:

B____C____D_____E

BC+ CE = BD + DE

(3x+47) + (x+26) = ( x+27) + (10)

4x + 73 = x + 37

4x – x = 37 – 73

3x = ‐ 36

x = – 36/ 3 —> x = 12

BC = 3x + 47 = 3(-12) + 47 = - 36 + 47 = 11

BD = x+ 27 = –12+27 = 15

CE = x + 26 = –12+26= 14

So;

BE = BD+ DE = 15+ 10= 25

Or ;

BE= BC + CE = 11+ 14 = 25

I hope I helped you^_^

What are the domain and range of the function below?

PLZ help me i hate algebra 2 and i started school last week

Answers

Answer:

According to the graph the point (0, 4) is the maximum of the function.

So the domain:

x = [0, +∞)

The range:

y = (-∞, 4]

Combine Like Terms
3. What is the simplest expression equivalent to 12xy + 20x - 9 - 11xy - 3x + 15?
-Xy+17-6
xy+23x+24
23xy+17X+6
xy+17X+6

Answers

Answer: Fourth Choice. xy + 17x + 6

Step-by-step explanation:

Given

12xy + 20x - 9 - 11xy - 3x + 15

Put like terms together

=12xy - 11xy + 20x - 3x + 15 - 9

Combine like terms through addition/subtraction

=xy + 17x + 6

Hope this helps!! :)

Please let me know if you have any questions

Find the smaller of 2 consecutive even integers if the sum of twice the smaller integer and the larger
integers is -16.

Answers

Answer:

n = -6

Step-by-step explanation:

2n + (n + 2) = -16

3n + 2 = -16

3n = -18

FIRST TO ANSWER CORRECTLY GETS BRAINLIEST!!!

Answers

Answer:

6ft by 15ft

Explanation:

L1 = 10 ft

W1 = 4 ft

L2 = L1*(3/2)

W2 = W1*(3/2)

L2 = 10 ft times (3/2) = 15 ft

W2 = 4 ft times (3/2) = 6 ft

I hope this answer helps you out!

Need help with solving please

Answers

Answer:

x=8

Step-by-step explanation:

4 ^(1/2x) = 256

Rewriting 256 as a power of 4

4 ^(1/2x) = 4^4

Since the bases are the same, the exponents are the same

1/2x = 4

Multiply each side by 2

1/2x *2 = 4*2

x=8

The product of two whole numbers is 588 and their sum is 49. What are the two numbers?

Answers

Answer:

Here is your answer. HOPE THIS HELPS YOU! STAY BLESSED.

Answer:

28,21

Step-by-step explanation:

let the numbers be x and y

x+y=49

y=49-x

xy=588

x(49-x)=588

49x-x²=588

x²-49x+588=0

[tex]x=\frac{49 \pm \sqrt{49^2-4*1*588} }{2*1} \\=\frac{49 \pm \sqrt{2401-2352} }{2} \\=\frac{49 \pm\sqrt{49} }{2} \\=\frac{49 \pm 7}{2} \\=\frac{49+7}{2} ,\frac{49-7}{2} \\=28,21[/tex]

4. Use the properties of exponents to simplify the expression: y ^ -4 (y ^ 3) ^2

Answers

Answer:

y^2

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

3.0040916 to the nearest hundred thousandth

Answers

Answer:

3.004

Step-by-step explanation:

If you were to round it like this: 3.0041, the thousands place would still be 4, so it would come out to be 3.004. Hope that helps!!

find the derivative of the function y= x^20

Answers

Answer:

Step-by-step explanation:

[tex]\frac{dy}{dx} =20x^{19}[/tex]

what is 0.4 repeating written as a fraction ​

Answers

Answer:

0.4 as a fraction would be 2/5

Answer: 4/9

Step-by-step explanation:

write all prime numbers from 20 to 50.​

Answers

Answer:

So, 23, 29, 31, 37, 41, 43 and 47 these are the prime numbers between 20 and 50.

Step-by-step explanation:

plz mark me brainliest

Answer:

So the prime numbers between 20 and 50 are so easy

- 23, 29, 31, 37, 41, 43 and 47

these are the prime numbers between 20 and 50

Step-by-step explanation:

Hope it helps

Select all of the answers below that are equivalent to G = {Nelson, Niven, Lazenby, Dalton, Moore, Brosnan, Connery, Craig}

Answers

Answer:

Step-by-step explanation:

Can we get the Answer's to see. Thanks.

A salesman's salary is $18,500 per year. In addition, the salesman earns 5% commission on the year's sales. Last year the salesman earned $25,400. How much was sold that year?

Answers

Answer:

138000

Step-by-step explanation:

25,400 - 18,500

6900

5% = 6900

100% = ?

cross multiplication

5x6900 / 100

yearly sale = 138000

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