Right triangle LMN is shown. What is the length of the hypotenuse, x, of triangle LMN? Round your answer to three decimal Places. Use the equation below.

Right Triangle LMN Is Shown. What Is The Length Of The Hypotenuse, X, Of Triangle LMN? Round Your Answer

Answers

Answer 1

Answer:

55.866 ft

Step-by-step explanation:

[tex] c^2 = a^2 + b^2 [/tex]

[tex] x^2 = 40^2 + 39^2 [/tex]

[tex] x^2 = 1600 + 1521 [/tex]

[tex] x^2 = 3121 [/tex]

[tex] x = \sqrt(3121} [/tex]

[tex] x = 55.8659 [/tex\

Answer: 55.866 ft

Answer 2

The length of the hypotenuse, x, of triangle LMN to 3 decimal place is

55.866 ft

using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the 2 other legs.

Therefore,

40²+ 39² = x²

1600 + 1521 = x²

x² = 3121

square root both sides

x = √3121

x = 55.8659108939

x ≈ 55.866 ft

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Related Questions

Seven students cut 5 and three-fourths inches of thread from a spool for a school project. What number represents the change in the amount of the thread on the spool?

Answers

Answer:

-40 1/4

Step-by-step explanation:

Answer: -40 1/4

Step-by-step explanation:

A sales representative for a large furniture warehouse is paid a commission rate of 5%. Find her commission if she sold $2,314,976 worth of furniture last year.

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Answer:

Step-by-step explanation:

2,314,976*5%= $115,748.80

Helppppppppppppp plzzzzzzzzzzzzzzzzzzzzzz

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Answer:

These parallel lines cross 1 line. Because they are parallel they will form the same angles on that line. Therefore, x+50 = 3x-100 since those angles are corresponding angles made by a pair of parallels.

To find x we need to find what value of x gives the same answer for 3x-100 and x+50 since those 2 angles are equal.

x+50 = 3x-100 - now all we need to do is solve for x:

x+50 = 3x-100

50=2x-100

150=2x

75=x

x=75

Step-by-step explanation:

I need help fast!!!

Answers

Where’s the question?

A scientist used 786 milliliters of an liquid for an experiment. How many liquids of liter did the scientist to use for this experiment?

Answers

Answer:

0.786 L

Step-by-step explanation:

1000 ml to 1 L

(786 ml) / (1000 ml) = 0.786 L

0.786 L liquids of liter did the scientist to use for this experiment

What is division?

Division is the process of splitting a number or an amount into equal parts.

here, we have,

A scientist used 786 milliliters of an liquid for an experiment.

we know,

1000 ml to 1 L

so, we get,

(786 ml) / (1000 ml) = 0.786 L

Hence, 0.786 L liquids of liter did the scientist to use for this experiment.

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ASAP , I need helppppppp

Answers

Answer
D
(20 characters)
The answer is: (D).
..

please can i have the asnwer !!

Answers

9514 1404 393

Answer:

  (3, 2), (4, 0)

Step-by-step explanation:

Two integer grid points are crossed by the curve on or above the x-axis:

  (x, y) = (3, 2), (4, 0).

Help! My friends needs help rlly bad

Answers

The answer to number 1 is 2/9 of her paycheck. The answer to number 2 is 3/5. Its square is 9/25 which is in between 1/3 and 1/2. It's reciprocal is 5/3 which is in between 1 and 2. It is also in simplest form.

Fitta spends 25 minutes on his rowing machine everyday, except for the weekends. How long will Fitta spend on his rowing machine in four weeks? Give your answer in hours and minutes. *​

Answers

Answer:

25×20×60 =30000

30000/60=500 hours

Answer:

8 hours and 20 minutes

Step-by-step explanation:

There are 5 days a week and Fitta spends 25 minutes each day.

25 x 5 = 125 minutes a week

125 x 4 = 500 minutes in 4 weeks

There are 60 minutes in an hour, so 500 divided by 60 = 8.3333

So the results are 8 hours and 20 minutes

Parallel lines m and n are intersected by transversal t. The measure of angle 1 in the diagram below is 112 degrees.
Which of the following angles also measure 112 degrees? select ALL that apply
A. Angle 2
B. Angle 3
C. Angle 4
D. Angle 5
E. Angle 6
F. Angle 7

Answers

Answer:

Step-by-step explanation:

The answer will be c if not then a

The value of the angles are ∠2 = 68, ∠4 = 68, and ∠3 = 112.

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Supplementary angles are the angles having a sum of 180 degrees.

∠1 + ∠4 = 180

112 + ∠4 = 180

∠4 = 180 -112= 68°

Vertically opposite angles are always equal.

∠4 = ∠2

∠2 = 68

Vertically opposite angles are always equal.

∠1 = ∠3

∠3 = 112°

Therefore, the value of the angles are ∠2 = 68, ∠4 = 68, and ∠3 = 112.

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Splitting the atom proved the equation E = MC 2 , which was formulated by the mathematician
Choose...
.Isaac Newton
.Kepler
.Aristotle
.Albert Einstein

Answers

9514 1404 393

Answer:

  Albert Einstein

Step-by-step explanation:

Einstein formulated the special and general theories of relativity, completely revising the laws of physics that had been accepted up to that point in time. Among many results was the equation saying matter and energy are the same thing:

  [tex]E = mc^2[/tex]

How do you give someone Brainliest.

Answers

Answer:

Once 2 people answer there will be a crown at the bottom right hand corner of both questions. Then once you click on one they get 6 extra points and brainliest answer for that question. Only one person can have it so choose wisely. Have a nice day! (would appreciate brainliest!)

Answer:

If two people answer a question, the person who asked the question has the option to give brainliest to one person out of the two. Hope this helped! May I have Brainliest?

Step-by-step explanation:

A 1622 kg car has a speed of 11.3 m/s when
it hits a tree. The tree doesn't move and the
car comes to rest.
Find the change in kinetic energy of the car. .
Answer in units of J.

Answers

The change in kinetic energy of the car is -83439.06 joules.

How to find change in kinetic energy?

The change in kinetic energy of an object is equal to the final kinetic energy minus the initial kinetic energy.

Since the car comes to rest after hitting the tree, its final kinetic energy is 0.

The initial kinetic energy of the car can be calculated using the formula KE = 1/2 m v², where KE is the kinetic energy, m is the mass of the object, and v is the velocity.

Plugging in the values, we get:

KE = 1/2 × 1622 kg × (11.3 m/s)²

KE = 1/2 × 1622 kg × 128.69 m²/s²

KE = 83439.06 kg m²/s²

To convert this value to joules, you can use the conversion factor 1 joule = 1 kg m²/s².

The change in kinetic energy of the car is equal to the final kinetic energy minus the initial kinetic energy, or 0 - 83439.06 kg m²/s² = -83439.06 kg m²/s².

Therefore, the car's kinetic energy dropped by -83439.06 joules.

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Rita rolled a die 25 times. Her results are shown in the table attached:


1. What is the experimental probability P(2)?


2. What is the experimental probability P(4)?


3. What is the experimental probability of rolling a 2 or a 3?


4. What is the experimental probability of rolling an even number?


5. What is the theoretical probability of rolling an even number?


6. Find the experimental probability P(1, 2, 3, 4, 5, 6).


7. Find the theoretical probability P(1, 2, 3, 4, 5, 6).

Answers

Answer:

I have the same questions and I got them right

Step-by-step explanation:

1.) P(2)=4/25

2.) P(4)= 5/25= 1/5

3.) P(2,3)=5/25= 1/5

4/25+1/25= 5/25= 1/5

4.) P(2,4,6)=16/25

4/25+ 5/25+ 7/25= 16/25

5.)There are three even numbers so, 3/6= 1/2. So, 1/2.

6.) P(1, 2, 3, 4, 5, 6)= 25/25 = 1

6/25+ 4/25+ 1/25+ 5/25+ 2/25+ 7/25= 25/25 = 1

P(1)= 6/25   P(2)= 4/25 P(3)= 1/25 P(4)= 5/25 P(5)= 2/25 P(6)= 7/25

Two years ago, Mr Singh was 7 times as old as his son. In 3 years' time, he will be 4 times as old as his son. Find Mr Singh's present age.​

Answers

Answer:

37 years old.

Step-by-step explanation:

2 years ago

Singh-  7s

Son- s

3 years in the future(so 5 years forward)

Singh- 7s+5

Son- s+5

7s+5 = 4(s+5)

7s+5 = 4s+20

3s = 15

s=5

2 years ago the son was 5 so Mr. Singh was 35

Now Mr. Singh is 37

Me Singh is currently 37 I think and I hope

Ahmya bought $10 shirt. Spent 1/2 remaining money for dinner. Bought $4cofee, spent 1/4 of remaining money on souveniers. How much did she start with?

Answers

Answer:

The amount she started with $20

Step-by-step explanation:

Let the amount Ahmya started with = x

when she bought $10 shirt, the remaining money is = x - 10

she spent half of this remaining money on dinner = [tex](\frac{x- 10}{2} )[/tex]

amount left after this = [tex](\frac{x- 10}{2} )[/tex]

she further spent $4 on cofee, the remaining money = [tex](\frac{x- 10}{2} )[/tex] - 4

she also spent 1/4 of remaining money on souveniers = [tex]\frac{1}{4}(\frac{x-10}{2} - 4)[/tex]

amount left = [tex]\frac{3}{4}(\frac{x-10}{2} - 4)[/tex]

The two last fractions should sum up to 1;

[tex]\frac{1}{4}(\frac{x-10}{2} - 4) + \frac{3}{4}(\frac{x-10}{2} - 4) = 1\\\\\frac{x-10}{8} -1 + \frac{3x-30}{8} -3= 1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 1+3+1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 5\\\\\frac{x-10 +3x-30}{8} = 5\\\\\frac{4x-40}{8} =5\\\\4x-40 =40\\\\4x =80\\\\x = 20[/tex]

x = $20

Therefore, the amount she started with $20

A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake?

Answers

Answer:

1 3/8 pounds

Step-by-step explanation:

divide 8 1/4 by 6

1.375 pounds (8.25/6=1.375pounds per cake)

If Granny Apples charge $12 for 6 pounds of apples and Wilson' Apples charges $15 for 5 pounds of apples then which apple company provides a better deal? Explain how you got your answer.

Answers

Given:

Granny Apples charge $12 for 6 pounds of apples.

Wilson' Apples charges $15 for 5 pounds of apples.

To find:

Which apple company provides a better deal.

Solution:

We need to compare unit price of both companies.

[tex]\text{Unit price}=\dfrac{\text{Total price}}{\text{Number of units}}[/tex]

Unit price of Granny Apples,

[tex]\text{Unit price}=\dfrac{\$12}{6}[/tex]

[tex]\text{Unit price}=\$2[/tex]

Unit price of Wilson Apples,

[tex]\text{Unit price}=\dfrac{\$15}{5}[/tex]

[tex]\text{Unit price}=\$3[/tex]

Since, per unit price of Granny Apples is less than Wilson Apples, therefore Granny Apples provides a better deal.

Please I need help: Find a number greater than 1 ​and​ less than 1000 that ​is both​ a perfect square and a perfect cube.

Answers

Answer:

64

Step-by-step explanation:

Please help show your work and 20 points.

Answers

Answer:

B. 439.82cm^2

Step-by-step explanation:

A=2[tex]\pi[/tex]rh +2[tex]\pi[/tex][tex]r^{2}[/tex]

A= 2[tex]\pi \\[/tex]5(9) + 2[tex]\pi[/tex][tex]5^{2}[/tex]

A=439.82 cm^2

Answer:

B. 439.82

Step-by-step explanation:

A=2πrh+2πr2

A=2(pi)(5)(9)+2(pi)(5) squared

A=282.74+152.07

A=439.8

-have a nice day

Given the figure above, if​

Answers

Answer:

No solution

Step-by-step explanation:

This is incorrect, either figure itself or the angle measures

See the attached to understand it

As it is there is no solution

ANSWER ASAP

540 students bought lunch in the cafeteria. If 45% of the students bought lunch in the cafeteria, how many students ate lunch altogether? The number of students who at lunch altogether is students.

Answers

Answer:1,200 students

Step-by-step explanation:

540/45=12=1%

12*100=1,200

someone help lolz..​

Answers

the answer is y =-4 !

Joe drove 936 miles in 13 hours. At the same rate, how long would it take him to drive 504 miles?

Answers

the answer for this is 7 hours

Which set of ordered pairs does not represent a function?
{(0,9),(-1,-2), (-5,2), (-3,0)}
{(0, -6),(-6,5), (4,5), (5,7)}
{(0,8),(-7, -1), (4,8), (1,5)}
{(4, -6), (9, – 7), (9,-4), (6,3)}

Answers

Answer:

{(4, -6), (9, – 7), (9,-4), (6,3)}

Step-by-step explanation:

It doesn't represnt a function because the 9 repeats twice

Which is the best estimate of
11 1/5 and 2 3/4

Answers

I think your question lacks a little bit of information. After a little research, I am able to find that you probably wanted to say '11 1/5 divided by 2 3/4'.

Therefore, I am solving the question assuming that you want to say:

''What is the best estimate of 11 1/5 divided by 2 3/4''.

Answer:

The best estimate of  11 1/5 divided by 2 3/4 will be: 4

Step-by-step explanation:

Given the information

11 1/5 divided by 2 3/4

solving the expression

[tex]11\frac{1}{5}\div 2\frac{3}{4}[/tex]

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]

so

[tex]11\frac{1}{5}=\frac{11\cdot 5+1}{5}=\frac{56}{5}[/tex][tex]2\frac{3}{4}=\frac{2\cdot 4+3}{4}=\frac{11}{4}[/tex]

so the expression becomes

[tex]11\frac{1}{5}\div 2\frac{3}{4}\:=\frac{56}{5}\div \:\frac{11}{4}[/tex]

                [tex]=\frac{56}{5}\times \frac{4}{11}[/tex]

                [tex]=\frac{56\times \:4}{5\times \:11}[/tex]

               [tex]=\frac{224}{5\times \:11}[/tex]

               [tex]=\frac{224}{55}[/tex]

                [tex]=4.07[/tex]

                [tex]= 4[/tex]       (Rounded to the nearest 1 or the Ones Place)

Therefore, the best estimate of  11 1/5 divided by 2 3/4 will be: 4

Which of the following situations could be represented by the expression - 14+ (- 7)?
A Matt owes $14 to his mom and $7 to his friend.
Melissa made $14 at her job and spent $7 on lunch.
Rafique scored 14 points on Tuesday and 7 on Wednesday.
D
Katrina dove 14 feet down in the water and then went up 7 feet.

Answers

Answer:

Matt's

Step-by-step explanation:

he has to give away $14 (-14)

and also $7 (-7)

The others have positive numbers.

Assassins on a rate of 29.6 ft./s if a building is 1450 feet tall how long would it take for an elevator to travel from the ground floor to the roof

Answers

Answer:

1450/29.6 = 49 seconds

Step-by-step explanation:

have a good day but please give me a brainliest

the diagonals of a rhombus are _____. A. perpendicular B. sometimes equal C. parallel D. never congruent

Answers

Answer:

The answer is perpendicular

Step-by-step explanation:

Hope i helped :)

how many solutions to this problem

Answers

None
:::::::::::::::::::::

in my opinion i think there is twooo

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