The hypotenuse of a right triangle is 55 inches long. One leg is 2 inch(es) longer than the other. Find the
lengths of the legs of the triangle. Round your answers to the nearest tenth of an inch. Answer: The lengths are

Answers

Answer 1

Answer:

Step-by-step explanation:

Angles: 45°: 45°: 90°

Ratio of sides: 1:1:√2

Given c= 55

a =c/√2

a=55/√2 = 38.9

b=a+2 = 38.9+2 =41.9

Answer 2

The length of the legs of the triangle is 41.9

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

Angles are: 45°: 45°: 90°

The ratio of sides: 1:1:√2

Given c = 55

a = c/√2

a = 55/√2

a = 38.9

b = a+2

b = 38.9+2

b =41.9

Thus, the length of the legs of the triangle is 41.9

Learn more about a right angle;

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Related Questions

5, Construct Arguments May bought 12
hats. What solid figure do the hats look
like? What attributes help you decide?

Answers

Answer:

Cone.

Step-by-step explanation:

From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.

The following attributes help as to decide that the hat is a cone:

1. Hat and cone both have one vertex.

2. Hat and cone both have one circular base.

Therefore, the hat is look like cone.

Simplify the expression:

3x (4x-6)
—————
2x(3x)

Answers

Answer:

[tex]=\frac{2x-3}{x}[/tex]

Step-by-step explanation:

[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]

What is 13/18pie in degrees

Answers

Answer:

Convert from radians to degrees using the ratio  180/π.   answer is 130°

Step-by-step explanation:

Is the decimal 0.888. . . rational or irrational? If it is rational, write it as a fraction. If it is irrational, explain why.

Answers

Answer:

It is irrational because a rational number expressed as the quotient or fraction  of two integers

Step-by-step explanation:

Lucy's parents built a swimming pool in the backyard. Use 3.14 for .
40 ft
20 ft
What is the distance around the pool? The distance around the pool is 131.47 feet.
What is the area of the pool?
Can someone please help

Answers

Area = l x w = 40 x 20

= 800 sq ft.

NEED HELP ASASP WILL GIVE YOU BRAINLIEST
Which of the triangles are right triangles?
3
01
5
8

Answers

Answer:

2.

5 x 5 = 25

4 x 4 = 16

25 + 16 = 41

You need to square root but it is already included

Hope this helps

Step-by-step explanation:

HELP QUICKLY FOR BRAINLISTS!!!
Determine the intercepts of the line.
y-3=5(x-2)

Answers

Answer:

x int = 7/5

y int = -7

Step-by-step explanation:

y = 5x - 7

when x = 0

y = -7

when y = 0

-5x = -7

x = 7/5

Answer:

y.(0.-7)

x.(1.4,0)

Step-by-step explanation:

Is this true or false ?

Answers

Short answer yes its true

The answer is: True.

CAN SOMEONE PLEASE HELP ME OUT PLEASE I WOULD APPRECIATE IT VERY MUCH

Answers

Answer:Decreasing

Step-by-step explanation:

Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .

-12 + 7 would it be 5 -19 - 5 or 19​

Answers

Hi there!

The answer would be C. -5

Hope this helps !

Step-by-step explanation:

-12 +7

=-5 .

Therefore, 5-19-5

= -19.

In all, -12+7 can not be 5-19 or 19

What are the ratio as a fraction for 4:6

Answers

Answer:

[tex]\frac{4}{6}[/tex]

Step-by-step explanation:

or 4 over 6

i think this is right and i hope it helps:D

NEED HELP ASAP

In the unit similar triangles and trigonometry, what is “ compass bearings ?”

Answers

Answer:

this is what I found "The bearing of a point is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass with the point. A bearing is used to represent the direction of one point relative to another point."

I can't really make sense of it though...

Answer:

What is the difference between constructing a square and constructing a regular hexagon?

The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.

The radius of the circle is used for the square construction, but the diameter of the circle is used for the regular hexagon construction.

The square will need two arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.

The square will need six arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.

Step-by-step explanation:

Which statement is true about the right angles ABC and DEF

Answers

The answer is the first one

Help me please !!!!!!!!!

Answers

Answer:

756.5 =x

Step-by-step explanation:

To find the perimeter of a rectangle

P = 2 (l+w)

4533 = 2 ( x+3  + 2x-6)

Combine like terms

4533 = 2 ( 3x -3)

Distribute

4533 = 6x -6

Add 6 to each side

4533+6 = 6x

4539 = 6x

Divide by 6

4539/6 =x

756.5 =x

Guess the riddle!!!!!!
1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise on each hand.
How many animals are going to the river ?

Answers

Step-by-step explanation:

1 rabbit

9 elephants (not clear going to river or not)

3 monkeys

6 tortoise

total 19 animal in the story

20 including the riddle maker who saw all of this (if we insist the riddle maker (human) are part of animal hahaha)

but the total animal going to river for sure is 10 animals

What number should be placed in the box to help complete the division calculation?



Numerical Answers Expected!

Answers

Answer:

180

Step-by-step explanation:

its 180 cos its the closest number to 193 that 18 can go in, your overall answer to the equation is 310 remainder 13. But I dont know if u need that..

Does anyone understand this

Answers

The answer is no because their different sizes

in order to pay for his expenses Chuck needs to earn $3,400 at least every month when Chuck Works overtime he earns $5000 per month if the variable T stands for the amount of money Chuck has left after paying for his expenses every month, which of the following choices is the most reasonable value for e when he works overtime

A. $600
B. $1600
C. 1200
D.$8400

Answers

The answer is B. $1600 because you have to subtract it

Answer:

B.  $1,600

Step-by-step explanation:

$3,400 + T = $5,000

T = $5,000 - $3,400

T = $1,600

Mary has postcards and stamps. The ratio of the number of postcards to the number of stamps she has is 2:9. If Mary has 36 stamps, how many postcards does Mary have?

Answers

Answer:

8

Step-by-step explanation:

2:9

9*4 = 36

2*4 = 8

Select all true statements

Answers

Answer:

f(x) has a larger growth rate

f(x) is always greater than g(x)

Step-by-step explanation:

f(x) = 2/5 x

g(x) = -2x

the slope of f(x) when graphed is 2/5 x, which is a positive value making it a larger growth rate than g(x) and it also will always be greater since the value of f(x) is positive

therefore the correct true statements are:

f(x) has a larger growth rate, and f(x) is always greater than g(x)

options 1 and 3

Step-by-step explanation:

option 1 is correct because f (x) is positive hence making it greater than g(x) which is negative.

A POLE DANCER MAKES $16.29 PER HOUR. SHE EARNS A TOTAL OF $800. HOW MANY HOURS DOES SHE WORK?​

Answers

Answer:49.10988336

Step-by-step explanation:

800 divided 16.29

800÷16.29=49.10988336

If the patter below follows the rule "Starting with two, every consecutive line
has a number that is one less than twice the previous line," how many
marbles must be in the sixth line?
O A. 11
B. 13
O C. 33
O D. Need more information

Answers

[tex]answer \\ 33 \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]

C. 33 marbles must be there in the sixth line.

How to elaborate the problem ?

There are 2 marbles in the 1st line, 3 marbles in the 2nd, 5 marbles in the 3rd and 9 marbles in the 4th.

The rule is " Every consecutive line has a number that is one less than twice the previous line ".

How many marbles are there in 6th line ?

In 1st line , 2 marbles are there.

In 2nd line, (2×2)-1 = 3 marbles are there.

In 3rd line, (2×3)-1 = 5 marbles are there.

In 4th line, (2×5)-1 = 9 marbles are there.

In 5th line, (2×9)-1 = 17 marbles are there.

In 6th line, (2×17)-1 = 33 marbles are there.

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3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused

Answers

3(x-1)-8=4(1+x)+5  

One solution was found :

                  x = -20

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x-1)-8-(4*(1+x)+5)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((3•(x-1))-8)-(4•(x+1)+5)  = 0  

Step  2  :

Equation at the end of step  2  :

 (3 • (x - 1) -  8) -  (4x + 9)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -x - 20  =   -1 • (x + 20)  

Equation at the end of step  4  :

 -x - 20  = 0  

Step  5  :

Solving a Single Variable Equation :

5.1      Solve  :    -x-20 = 0  

Add  20  to both sides of the equation :  

                     -x = 20

Multiply both sides of the equation by (-1) :  x = -20

One solution was found :

                  x = -20

hope this is wht u wanted

Determine the value of z in the figure answers: z = 40° z = 90° z = 20° z = 45°

Answers

Answer:

20 degrees

Step-by-step explanation:

This is a linear pair, whose sum always equals 180 degrees,

hence, we can set up the equation:

2z+140=180

2z=180-140

2z=40

z=40/2

z=20

Thus, the answer is 20 degrees

Answer:

z = 20°

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

2z+ 140 = 180

Subtract 140 from each side

2z+140-140 = 180-140

2z = 40

Divide by 2

2z/2 = 40/2

z = 20

There are 1250 students in a school. 58% of them are female. How many are male?

Answers

Answer:525 boys

Step-by-step explanation:

Multiply 1250 times .58 and then subtract that answer from 1250....

1250x.58=725

1250-725=525

Answer:

There are 525 boys in that school.

Step-by-step explanation:

Since the number of students in that school are 1250 and 58% of them are female, therefore the percentage of the male is

⇒100% - 58% = 42%

To find how many boys are in that school, you multiply 1250 by 42%.

i.e. [tex]\frac{42}{100} * 1250[/tex]

= [tex]\frac{42}{10} * 125[/tex]

= 4.2 × 125

= 525

∴ There are 525 boys in that school.

OR

You can find the number of boys there by subtract the product of 58% and 1250 by 1250.

i.e. Number of girls= [tex]\frac{58}{100} * 1250[/tex]

                                     = [tex]\frac{58}{10} * 125[/tex]

                                     = 5.8 × 125

                                     = 725

∴ The boys in that school are:

= 1250 - 725

= 525

∴ There are 525 boys in that school.

Hope this helps!!!

Jennifer settles on the purpose of her website. What should be her next? A. design the website. B. Set an objective or goal C. Identify target users. E. Plan the website architecture

Answers

Answer:

C. Identify target users

explanation:

After she settles on the purpose of her website she basically had her plan/ goal already visioned. the next step is to find an audience that would be entertained and intrigued by her content. from this then she can start designing the project. i believe this question is in the wrong subject but

hope i helped!

Answer:

design the website

Step-by-step explanation:

ANSWER ALL PLS NOW I NEED THIS ANSWERED

Answers

1. 6^2

2. -5^4

3. 3^3

4. -4^3

5. a^3

6. 1/2^6

7. Base is -12 expanded is -12x-12 exponent is 2 standard form is 144

8. Base is 1/2 and expanded is 1/2x1/2x1/2 exponent is 3 standard form is 1/8

9. Base is -9 expanded is -9x-9x-9 exponent is 3 and standard form is -729

10. 8x8x8x8

11. -3x-3

12. 8x8

13. -7x-7x-7x-7x-7

14. 7x7x7

15. 3/4x3/4x3/4x3/4x3/4

1) [tex]6^{2}[/tex]

2) [tex]-5^{4}[/tex]

3) [tex]3^{3}[/tex]

4)[tex]-4^{3}[/tex]

5)[tex]a^{3}[/tex]

6)[tex]2^{6}[/tex]

7) Base= -12 Exponent=2 Expanded= (-12)(-12) Standard Form= -144

8) Base= [tex]\frac{1}{2}[/tex] Exponent= 3 Expanded= ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex])([tex]\frac{1}{2}[/tex]) Standard Form = [tex]\frac{1}{8}[/tex]

9) Base= -9 Exponent= 3 Expanded= (-9)(-9)(-9) Standard Form= -729

10) (8)(8)(8)(8)

11) (-3)(-3)

12) (8)8)

13)(-7)(-7)(-7)(-7)(-7)

14) (7)(7)(7)

15) ([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])([tex]\frac{3}{4}[/tex])

If anybody now this pls help my homework due TOMORROW

Answers

Answer:

Part A: D. [tex]y = (x + 1)(x+3)\\[/tex]

Part B: C. [tex]3x(x-3) = 0\\[/tex]

Step-by-step explanation:

For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.

The equation: [tex]y = (x + 1)(x+3)[/tex]

Now plug in 0 for x.

[tex]y = (0 + 1)(0+3)\\[/tex]

Now solve.

y = (1)(3)

y = 3

This proves that this is the correct answer.

For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.

The equation: [tex]3x(x-3) = 0[/tex]

Now plug in x for 0 and solve:

[tex]3* 0 (0-3) = 0\\[/tex]

[tex]0(-3) = 0\\[/tex]

[tex]0 =0\\[/tex]

This equation is true, now we check for the other value of x, 3.

[tex]3*3(3-3) = 0\\[/tex]

[tex]9(0) = 0\\[/tex]

[tex]0 =0\\[/tex]

This is also true so that means this is the correct answer.

Find f(2) and f(a + h) when f(x) = 3x^2 + 2x + 4

Answers

Answer:

[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Step-by-step explanation:

[tex]f(x)=3x^2 + 2x + 4[/tex]

[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]

[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Answer:

f(2) = 20

f(a+h) = 3a²+6ah+3h²+2a+2h+4

Step-by-step explanation:

f(x) = [tex]3x^2+2x+4[/tex]

A) Putting x =2

=> f(2) = 3(2)²+2(2)+4

=> f(2) = 12+4+4

=> f(2) = 20

B) Putting x = a+h

=> f(a+h) = 3(a+h)²+2(a+h)+4

=> f(a+h) = 3a²+6ah+3h²+2a+2h+4

A ship is sailing due west …
Plz answer !!​

Answers

Answer:

8.75° south of west

26.3 mph

Step-by-step explanation:

Let's say that east is +x and north is +y.

The sailor's horizontal velocity is -26 mph.  The vertical velocity is -4 mph.  So the velocity vector is in the 3rd quadrant.  The direction is:

θ = tan⁻¹(-4 / -26)

θ = 188.75°, or 8.75° south of west.

The magnitude of the speed is:

v = √((-4)² + (-26)²)

v = 26.3 mph

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I need help with these asap like ill fr cashapp you momey if you do it i need it for todayyy wassup?!! What does democratized knowledge mean?A. Everyone has a right to own a computer with Internet access.B. Everyone can vote to determine what knowledge should beshared.C. Everyone has equal access to knowledge that they can alsocontribute to.D. People decide together what information the public needs toknow. -12 + 7 would it be 5 -19 - 5 or 19 Age (years) Population Under 15 2600 15 - 64 16000 Over 64 4000 Calculate the child dependency ratio from the chart above. Round to 3 decimals places. calculate the volume of marble if its diameter is 10mm A ship is sailing due west Plz answer !! Which of the following best explains how a recovery period leads to a boom?A. A natural disaster resulting in greater demand for housingconstruction.B. A decrease in unemployment resulting from low production costs.C. An increase in consumer demand resulting from a reduction in prices.D. A reduction in consumer demand resulting from hyperinflation.The answer is C. An increase in consumer demand resulting from a reduction in prices. Solve the system of equations by using substitutionY=2x+3Y=x+2 Choose the FALSE statement about the space shuttle program. A. It lasted over 30 years. B. It launched the Hubble Space Telescope. C. It conducted scientific experiments in lunar orbit. D. It helped in the creation of the International Space Station. Determine the value of z in the figure answers: z = 40 z = 90 z = 20 z = 45 1. What new invention during the Renaissance period helped new medical ideas to spread around Europe a lot more quickly than before? Which group of words is a clause?O A. from the kitchenO B. on the tableO C. when I finished itO D signs on the mapO E. in the playground Definitley marking the brainliest ASAP Which of the following are signs of a concussion that you as a coach may identify?A. The athlete appears stunned, is unsure of the game, score, or opponent, is confused abouttheir assignment or position, and is answering questions slowly.B. The athlete follows the rules for safety and the rules of the sport, practices good sportsmanship, and uses the proper equipment for the sport.C. The athlete looks pale, their tongue is white, and after gently pinching the skin, it does notimmediately snap back into place who founded the Safavid empire at the age of 14 years old Cash flows of two mutually exclusive projects are as follows. Project A costs $80,000 initially and will have a $15,000 salvage value after 3 years. The operating cost with this method will be $30,000 per year. Project B has initial cost of $120,000, an operating cost of $8,000 per year, and a $40,000 salvage value after its 3-year life. Assume the interest rate is 10% per year. Which of the following statements is true?A. Two projects have different life cycleB. Project A should be selected.C. The present worth of project A is -$143,252.17.D. The present worth of project B is -$109,842.22. An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.48 ppm and a standard deviation of 3.25 ppm. Suppose that you draw a random sample of 10 printers.Using the information about the distribution of the printing speeds given by the manufacturer, find the probability that the mean printing speed of the sample is greater than 18.06 ppm. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). Probability (as a proportion) The San Andreas Fault is known for which of the following? Can anyone help me solve this problem plz need need help asap! A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 4 students' scores on the exam after completing the course: 12,7,13,11 Using these data, construct a 80% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.