cạnh huyền của một tam giác vuông lớn hơn một cạnh góc vuông là 1 cm và tổng của hai cạnh góc vuông lớn hơn cạnh huyền 4 cm hãy tính các cạnh của tam giác vuông này

Answers

Answer 1

Answer:

Cạnh huyền=13, cgv1=12, cgv2=5

Step-by-step explanation:

Tam giác ABC

Gọi a là cạnh huyền(đối diện điểm A)

b là cgv đối diện điểm B

c là cgv đối diện điểm C

Theo đề bài: a=b+1 hoặc a=c+1

TH1: a=b+1 ta có hệ pt:

a=b+1                  (1)

b+c=a+4             (2)

[tex]b^{2} +c^{2} = a^{2}[/tex]         (3)

Thế (1) vào (2) ta được: b+c=b+1+4 => c=5

Thế (1) và c=5 vào (3) ta được:  [tex]b^{2} +5^{2} = (b+1)^{2}[/tex]  

<=>  [tex]b^{2} +25=b^{2} +2b+1[/tex]

<=> 2b=24 => b=12

=> a=b+1=12+1=13

TH2: a=c+1 ta có hpt

a=c+1                  (4)

b+c=a+4             (5)

[tex]b^{2} +c^{2} = a^{2}[/tex]         (6)

Tương tự tính được a=13,b=5,c=12

Vậy cạnh huyền=13, 1 cạnh góc vuông=5 và 1 cạnh góc vuông=12


Related Questions

Look at the equation 14n=98 work out the value of 14(n+1)

Answers

Answer:

The value of 14(n+1) is 112.

Step-by-step explanation:

14n=98

n=98/14

n=7

-------------

14(n+1)=14(7+1)=14(8)=112

In the equation "y=mx+b" to find the answer do you have to multiply m and x then add b?

Answers

Answer: no.

Explanation:

As an example, let's use y=2/3x-8.

In this formula, the 2/3 before the x I the slope of the problem. The -8 would be the y-intercept. You use this formula to find both of those to graph a line, you do not multiply the slope and the x together.

Please look at the pictures below for the question and multiple choice answers, thank you.

Answers

the answer is c i think

Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.

Answers

Answer:

  x = 274 91/107

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

  2.14x -12.18 +12.18 = 576 +12.18

  2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

  2.14x(1/2.14) = 588.18(1/2.14)

  x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

Answer:

x = 274 91/107

Step-by-step explanation:

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

 2.14x -12.18 +12.18 = 576 +12.18

 2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

 2.14x(1/2.14) = 588.18(1/2.14)

 x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

What is the slope of the line?

Answers

Answer:

looks like 3/4

Step-by-step explanation:

a. Examine the zeros of the graph, and write a function that models this situation.


b. After 10 minutes, the elevation model changes and is given by the function Use the Edmentum Graphing Tool to graph this function. Capture a screenshot of your graph, and paste it in the space provided.

Answers

Answer:

See below

Step-by-step explanation:

A) We have zeroes at (2,0) (3,0) (5,0) (9,0) and (10,0). Therefore, we can write the function as (x-2)(x-3)(x-5)(x-9)(x-10) = x⁵-29x⁴+311x³-1519x²+3360x-2700

B) View attached screenshot for reference

NEED HELP ASAP BRAINLIST 100 PNTS calculate the portion for walking in degrees

Answers

Refer to the table.

72 degree

It is given that :

Soccer: 5

Jogging: 20

Walking: 10

Skiing: 5

Football: 10

50 hours

The total hour is given as 50 hours. Out of which walking is 10 hours.

Therefore, in degree the portion of walking will be : 74 degrees

hope this helps :)

How many 1/5 are in 3 1/2?

Answers

Answer:

17 1/2

Step-by-step explanation:

3 1/2 / 1/5=17 1/2

I’m very confused! Please help me (I’ll mark brainliest if you explain!)

Answers

Answer:4 **rounds

Step-by-step explanation:

It’s dividing by 2 each time.

Answer:

4 more rounds

Step-by-step explanation:

you will see there is a pattern which is dividing by 2

16/2=8

8/2=4

4/2=2

2/2=1

but since thats not an option i think it would be 8 dont ask its would be eight if not 4

Find a counterexample to the statement below

“All prime numbers are odd”

Answers

Answer:

The number 2

Step-by-step explanation:

Answer:

"2 is prime and it is even"

Step-by-step explanation:

What is the first step of the second step to prove that Sn arrow 1+2+3+..+n=n(n+1)/2?

Answers

Answer:

I'm pretty sure it's, "verify that Sn is valid for n=1". I think... lol.

Step-by-step explanation:

The difference between three times a number and seven is twenty. What is the number?
20
7
13
3
O9
O 27

Answers

Answer:

the number is 9

Step-by-step explanation:

hope this helps

HELP!!!

42 is the product of 6 and y

Answers

Answer:

7

Step-by-step explanation:

Divide the 42 by 6 to get your answer. 42/6=7

This also works in reverse. 6*7=42

The answer: 42 is the product of 6 and y=7

Ok done. Thank to me :>

Help plzzz!! Find the slope through these pairs of points
(5,-15),(12,2)
(-18,-20),(6,-5)
(-18,-19),(-17,-19)
(-1,3),(-11,-17)

Answers

We can use the formula y2-y1/x2-x1 to find the slope.

1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.

2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.

3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.

4. -17-3/-11-(-1) is -20/-10. The slope is 2.

a train is leaving the station and goes from 3m/s to 30 m/s in 12 s. The acceleration of the train is

Answers

Answer:2.25 m/s^2

Step-by-step explanation:

a = (v-u)/t = 27/12 = 2.25 m/s^2

solve 5/4 ​ × (− 9/2 ​ )

Answers

Answer:

-40/8= -5

Step-by-step explanation:

Multiply the top to get -40 then the bottom to get 8. When you simplify, you get -5.

Answer:

-5.625

Step-by-step explanation:

5/4 × (-9/2)

=5×(-9)/4×2

=-45/8

=-5.625

Triangle UVW is dilated by a scale factor of 6 to form triangle U'V'W'. Side W'U'
measures 18. What is the measure of side WU?

Answers

Answer:

WU= 3

Step-by-step explanation:

Know that, W'U'÷ (scale factor) = WU

18÷6 is equal to 3

scale factor= 3

what is -27/40 as a decimal number. AND NO LINKS pls and thank you :)

Answers

Answer:

-0.675

Step-by-step explanation:

A fraction is another way of writing a division problem. So to figure this out, simply divide -27 by 40

You and your sister are buying your mom a birthday gift. You paid $54 and your sister paid $22. What percentage did each sister contribute to the total cost of the gift?

Answers

Answer:

$54 = 71%, $22 = 29%

Step-by-step explanation:

54+22=76

54/76 = 0.7105

22/76 = 0.2894

A customer buys 6 packages of nails and 7 packages of screws for $74.35. What is the price of a package of screws?

Answers

The price of the package of screws would be = $40

How to calculate the package of screws bought by the customers?

The quantity of nails bought by the customer = 6 packages

The quantity of screw bought by the customer = 7 packages of screw.

The total amount of the whole package = $74.35

The total number of packages = 6+7 = 13

For screws = 7/13 × 74.35

= 520.45/13 = $40

Learn more about division here:

https://brainly.com/question/25289437

#SPJ1

A student says that it 5x^2 =20,then x must be
equal to 2. Do you agree or disagree with the
student? Justity your answer.

Answers

I agree with the student.Justification:[tex] {5x}^{2} = 20 \\ = > {x}^{2} = \frac{20}{5} \\ = > {x}^{2} = 4 \\ = > x = \sqrt{4} \\ = > x = 2[/tex]Therefore, x must be equal to 2.So his statement is right.

Hope you could get an idea from it.

Doubt clarification - use comment section.

If ABC is right-angled at B , AB = 3 cm. , BC = 4 cm. , then the length of the median from B is​

Answers

Therefore, the length of the median from B is 5/2 cm.

Will give brainliest!

Answers

Answer:

- 1/4

Step-by-step explanation:

Where you see X, substitute with 1/3

Solve the power/exponent first:

6(1/3) = 2

That is ; - 4(1/4)^2

Solve the parenthesis:

(1/4)^2 = 1/16

-4(1/16)

= - 1/4

Here’s the zoomed graph!

Answers

Answer:

10x + 15

Step-by-step explanation:

Answer:

I dont know what the question is asking you but im assuming it was asking you what is the equation:

Slope = 10.

Equation: y=10x+15

Y-intercept: 15

---------------------

Hope this helps!

Step by step? Just ask.

Doubt? --> comment section.

Happy Holidays! (✿◡‿◡)

The Hayes family and the Cook family each used their sprinklers last summer. The water output rate for the Hayes family's sprinkler was 30L per hour. The water output rate for the Cook family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1450L. How long was each sprinkler used?

Answers

Answer:

30 hours of use by Washington family

35 hours of use by Choi family

Step-by-step explanation:

My friend needs your help

Answers

Answer:

Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you

Step-by-step explanation:

Have a great rest of your day

#Nova

For the function y = 4x – 2, what is the value of the function when x is equal to -3?

Giving brainliest to the right answer!

Answers

Answer:

y = 4 (-3) - 2

y = -12 - 2

y = -14

Step-by-step explanation:

solve the following equation: 0.4(g-2)+1.2=-(g-1)+2.9​

Answers

Answer: g = 2.5

Hope it helps!

Answer:

g = 2.5

Step-by-step explanation:

0.4(g - 2) + 1.2 = - (g - 1) + 2.9 ← distribute parenthesis on both sides

0.4g - 0.8 + 1.2 = - g + 1 + 2.9 ( simplify both sides )

0.4g + 0.4 = - g + 3.9 ( add g to both sides )

1.4g + 0.4 = 3.9 ( subtract 0.4 from both sides )

1.4g = 3.5 ( divide both sides by 1.4 )

g = 2.5

4x+y=0 2x-y=-12 how many solutions does this problem have? No solution, one solution, or infinite solutions

Answers

Ok done. Thank to me :>

a film start at 17:15 and finish at 1 hour and 45 minutes later. what time did it finish?​

Answers

It ended at 19:00 or at 7 pm
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