how many different right triangles are there with a hypotenuse of lenght 5 cm

Answers

Answer 1

Answer:

Draw a horizontal line across a page of paper, somewhere in the middle. Mark a point A on the line, toward the left margin.

Spread open a compass to make good sized circle, but so that if the point of the compass is on the point you drew, the pencil fits on the page, both below the top edge and to the left of the right edge of the page. Draw the arc, from roughly the 12 O’Clock position over and down to the intersection of the line segment, at the 3 O’Clock position.

Call the opening of your compass, the radius of the arc you just drew, “5 units”.

Pick any point on the arc between the 12 and 3 positions, B. Drop a line down from that point B, perpendicular to the original horizontal line. Label the point that it intersects the horizontal line, C.

ABC is a right triangle with hypotenuse 5. Do this again with a point a little closer to the 3 O’Clock position. It’s another right triangle with hypotenuse 5.

Indeed, as you get closer to the right, along the arc, the height of the triangle declines, but the width of the triangle increases. The hypotenuse remains 5 in all cases. We picked points on the circle. We could have picked points on the horizontal line first, and raised perpendicular lines until they intersected the circle. Each point forms a distinct right triangle.

There are as many possible right triangles as there are possible points in a line segment.

Step-by-step explanation:


Related Questions

A local taxi company charges a base fare of $3.20. The taxi company charges $0.40 for every minute the taxi is in service. If a passenger has $20, how many minutes can he travel in the taxi?


Answers

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Answer: 42 minutes

Explanation:

0.40x + 3.20 = 20

0.40x = 16.8

x = 42 minutes

I hope this helped!

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uhmm...hi... can someone plss answer this...
plss don't waist ma póints.​

Answers

Answers:

1: 6, because both are congruent

2: 14, because if half is seven then the whole line is double.

3: (Sorry, I’m not sure on this one).

4: Right triangle

5: 42, because A = (xy) / 2
1) HT = AT because a kite has two pairs of consecutive sides that are equal
So HT=6
2) a kite’s diagonals are perpendicular so GH= 7
7+7=14
3)AMH divides into two equal parts so we divide by 2
35/2 = 17.5
17.5
4)scalene triangle
5)area = 0.5 d1xd2
0.5 x 12x 7=42

which of the at eight o'clock, which of is the angle between the hour and the minute hands

Answers

Answer:

At 8 o'clock angle between the two hands is 120 degree.

Step-by-step explanation:

For even hours, it’s easy. There are 12 numbers on the 360 degree clock face so each number is 30 degrees. Now, if you are after 6 then “the angle” is the other way so for 8:00, 12–8 = 4*30 = 120 degrees.

The problem comes in when you are not at an even hour. At, say, 8:20, the minute hand has moved 120 degrees and the hour hand has moved 1/3 of 30 or 10 degrees so, the angle is now 8*30 - 4*30 + 10 = 240 - 120 +10 = 130 degrees.

At 8:40 the minute hand has moved 8*30 = 240 degrees and the hour hand has moved 2/3 of 30 or 20 degrees so the angle is now 8*30 - 8*30 + 20 = 20 degrees

Select ALL choices that are zeros of this function y=x2 +12x +32

Answers

Answer:

{-8, -4}

Step-by-step explanation:

Rewrite this function y=x2 +12x +32 as y = x^2 + 12x + 32; " ^ " indicates exponentiation.

Set this x^2 + 12x + 32 equal to zero (to find the zeros):  

x^2 + 12x + 32 = 0.  Let's solve this using the quadratic formula, which applies when ax^2 + bx + c = 0:

       -b ± √(b^2 - 4·a·c)

x = -------------------------------

                    2a

The coefficients of the given quadratic are {1, 12, 32}.  Thus, the discriminant is

b^2 - 4ac, or 12^2 - 4(1)(32), or 144 - 128, or 16. Therefore, we have:

       -12 ± √16                                                     -12 ± 4

x = --------------------    which simplifies to:    x = --------------- = { -8, -4}

              2                                                                  2

The zeros are {-8, -4}

Ken makes 75 cookies. He gives 35 of them to his classmates and 13 of them to his teachers. He brings the rest home. He brings home
cookies.

Answers

27 cookies because 75 - 35=40. 40 - 13=27
75-35 =40 and 40-13 =27
So ken would bring home 27 cookies

In circle A, marc BC is 67° and marc EF is 74°:

Points B, C, E, and F lie on Circle A. Lines BE and CF pass through point D, creating angle EDF. The measure of arc BC is 67 degrees, and the measure of arc EF is 74 degrees.

What is m∠FDE?

Answers

Answer:

70.5

Step-by-step explanation:

just took the test

You start at (8, 3). You move down 1 unit. Where do you end?

Answers

Answer:

(8, 2)

Step-by-step explanation:

Initial point is: (x, y) = (8, 3)

When you move up or down, you change the y-coordinateWhen you move left or right you change the x-coordinate

Move down 1 unit:

(x, y) → (x, y - 1)

The new point is:

(8, 2)

Tyler owned the librarian late fees he had to pay a 3% fee on the cost of the books, which was $35.62. What was he charged for a late fee?

Answers

Answer:

$1.07 for the late fees.

Step-by-step explanation:

You can find the fee for this price by finding 3% of the $35.62 (total cost of the books). You can find this number by multiplying (35.62*.03).

35.62*.03

1.0686

Round up because you cannot have part of a cent.

$1.07 for the late fees.

A bathtub can hold 66 galons of water. The faucet adds 5.5 gallons of water to the bathtub evvery minute. Find out how many minutes it takes to fill the empty bathtub. WRITE EQUATION YOU USED!

Answers

Answer: 12 minutes

Step-by-step explanation:

66/5.5

12 minutes

Answer:

12 min

Step-by-step explanation:

5.5 t=66

t=66/5.5=660/55=12 minutes

f(x) = 9x+7
find 20-3)
09c + 7
0 18c + 20
18c + 7
O -
180 - 20

Someone help?

Answers

Answer:

18c - 20

Step-by-step explanation:

substitute 2c - 3 into x,

f(2c - 3) = 9(2c - 3) + 7

=> f(2c - 3) = 18c - 27 + 7

=> f(2c - 3) = 18c - 20

please help me............

Answers

Answer:  167* and 562*

Step-by-step explanation:  62x72x89x57x81x93x75x8=167//562

Word Phrase
Algebraic expression
10 more than the product of 3 and x
9 less than the quotient of n and 5
8 times the product of 5 and t
3 times the sum of x and 5
A state park charges a $6.00 entry fee plus
$7.50 per night of camping.

Answers

Answer:

3x + 10

n/5 -9

8(5t)

3(x + 5)

6 + 7.5n

Please let me know if you have questions about these. I’m happy to try to explain.

The dimensions of Jared's classroom are shown in the diagram.
12 m
4 m
6 m
4 m
2 m
8 m
What is the area of the classroom?
A. 36 m2
B. 48 m2
OC.-64 m2
OD. 72 m2

Answers

Answer:

64 m2

Step-by-step explanation:

12x6=72m2

2x4=8m2

72-8=64m2

The area for the given dimensions of Jared's classroom is, 64 m²

What is the area?

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

The dimensions of Jared's classroom are,

12 m, 4 m, 6 m, 4 m, 2 m, 8 m

we can divide the area of classroom in two parts,

first A₁, having side lengths of 6 m & 8 m

second A₂, having side lengths of 4 m & 4 m

Jared's classroom area =  A₁ +  A₂

A₁ = 6 × 8

      =  48

A₂ = 4 × 4

     = 16

A =  A₁ +  A₂

  = 16 + 48

  =  64

The area of classroom is 64 m²

To learn more about Area check:

https://brainly.com/question/16151549

#SPJ2

Sasha drinks 2 liters of water each weekend how many milliliters of water does Sasha drinks each weekend?

Answers

Answer:

2,000 ml

Step-by-step explanation:

'milli' indicates 'thousands'

2 x 1000 = 2000

The scatter plot shows the number of tickets sold and the price of the tickets.

Using the trend in the scatter plot, about how much will people pay for a ticket If 50 tickets are sold?

A.$50
B.$41
C.$25
D.$5

Answers

Answer:

5$

Step-by-step explanation:

A rectangular prism has a width of 5cm, a height of 8 cm and a depth of 10cm. What is the volume of the prism

Answers

Answer:

400

Step-by-step explanation:

5 x 8 x 10 = 40 x 10 = 400

Answer:

400

Step-by-step explanation:

He distance between Miami and Naples is 107 miles. The distance between Miami and Jacksonville is about three times this distance. Landon estimates the distance between Miami and Jacksonville is about 400 miles. Is Landon's estimate reasonable? Why or why not?

Answers

Answer:

Step-by-step explanation:

Distance between Miami and Naples = 107 miles

Distance between Miami and Jacksonville is about three times this distance.

Distance between Miami and Jacksonville = 3 * 107 miles

= 321 miles

Landon estimates the distance between Miami and Jacksonville is about 400 miles

The estimate is too high

He should have estimated 107 miles to 110 miles which gives a total of 330 miles

Estimated 400 miles compared to 330 miles is too high

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34
centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.6 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.

Answers

Answer:

41.6 centimeters

Step-by-step explanation:

The right triangle formula: c^2 = a^2 + b^2

                                  c is the hypotenuse side of the triangle

                                  a and b are the legs of the triangle.    

 Find the hypotenuse :   c^2 = (24)^2 + (34)^2

                                          c = square root of (  (24)^2 + (34)^2)

                                          c = square root of ( 576 + 1,156)

                                          c = 41.6173

Think About the Process What is true about a figure and an image created by a translation? The
vertices of parallelogram GRAM are G(-9, -9), R(-8, -6), A(-4,-6), and M(-5, -9). Graph
GRAM and G'R'A'M', its image after a translation 11 units right and 2 units up.
What is true about a figure and an image created by a translation? Select all that apply.
A. Each point in the image moves the same distance and direction from the figure.
B. The figure and the image are the same size.
C. Each point in the image has the same x-coordinate as the corresponding point in the figure.
OD. The figure and the image are the same shape.

Answers

C. I think it’s correct! Sorry

Solve for x. Round to the nearest tenth.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 8) 64.2

10) 51.3

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Which angle pair relationship shows that two lines are parallel?
OTwo vertical angles are congruent.
O Two adjacent angles are supplementary.
OTwo alternate interior angles are supplementary.
OTwo corresponding angles are congruent.​

Answers

Answer: Two corresponding angles are congruent.

Step-by-step explanation:

Each cube in the prism is one cubic unit.
What is the volume of this rectangular prism?​

Answers

78 78 78 78 78 78 78 78 78

hello please help i’ll give brainliest

Answers

Answer:

a is the answer I guess.

(-2)÷50

B is the answer: 50 divided by -2 is -25 and -50 divided by 2 is also -25

Volume of the cylinder? Use 3.14 as pi.

Answers

Answer:

V≈8906.42

Step-by-step explanation:

V=πr2h=π·92·35≈8906.41517

plz give the brainliest

Have a great day!

which inequalities are true and false?

Answers

I am not just answering for the points, but technically speaking 9 is greater than or equal to 2, 0, and - 1.. So I would say all of them would be true. Hope this helps I am so so sorry if it is incorrect. ✨

The circumference of a pizza is 75 inches. What is the approximate radius of the pizza?

Answers

If the circumference is 75 the radius should be 11.936

It takes a bear 9 more days to eat a barrel of honey alone than it takes the bear and a second bear to eat the barrel of honey together. It takes the first bear 7 fewer days to eat a barrel of honey alone than it takes the second bear to eat a barrel of honey alone. In how many days can the two bears eat a barrel of honey together?
No links please.

Answers

Answer:

it takes the bears 12 days to eat honey together.

Step-by-step explanation:

1/x+9+1/x+16=1/x

(solve this using cross multiplication)

= x^2 = 144

x=12

answer: 12

explanation:

let x=two bears eating honey together

let x+9=first bear

let (x+9)+7=second bear     **because we know the second day takes 7 more days to eat the same amount of honey as the first bear**

since the bears can finish a barrel of honey over multiple days, they can only finish part of the barrel of honey in one day.

therefore...

x/(x+9)+x(x+16)=1 or x*1/(x+9)+x*1/(x+16)=1     **the equation equals 1 because you are trying to find how much honey they eat in one day aka 1=single day**

if you solve, you get x=-12; x=12. it can only be the positive value so x=12 is your answer. your welcome fellow rsm students.

Find the measure of the indicated angle to the nearest degree (Image Attached)

Answers

Answer:

Y = 31.9° (rounded to 3 significant figures)

Solve for x please help!!!

Answers

x=13 i believe!! hope it helps <3
2x+6=32
2x=26
x=13 degrees

f(x)=2x-8 find a function help ;-;

Answers

F(x)=x2-8x+c
(I think this is the answer)
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