1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katrin [286]
3 years ago
11

In a right triangle, one of the legs is 5 cm smaller than the hypotenuse, and the other leg is 10 cm smaller than the hypotenuse

. Find the length of the hypotenuse.
Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

Answer:

25 cm.

Step-by-step explanation:

If the hypotenuse is  x cm long the 2 legs are  x-5 and x-10 cm long.

So by the Pythagoras theorem:

x^2 = (x - 5)^2 + (x - 10)^2

x^2 = x^2 - 10x + 25 + x^2 - 20x + 100

x^2 - 30x + 125 = 0

(x - 5)(x - 25) = 0

x = 5, 25

We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.

You might be interested in
What is 5/47as a decimal rounded to 3 decimal places?
viva [34]

Answer:

0.106

Step-by-step explanation:

8 0
3 years ago
A group of band instructors answered a survey about hours of rehearsal per week and number of competitions won. The graph shows
IRISSAK [1]

Answer: B. 31

Step-by-step explanation:

This linear regression was constructed by relating the hours practiced per week and the number of competitions won.

Going by this graph, the number of competitions they can expect to win at 5 practices a week is 31.

This is derived by looking for the point where 5 competitions on the x-axis intersects with the line. This point is at 31 competitions on the y axis which would make it the answer.

5 0
3 years ago
Read 2 more answers
What is the quotient of (x^3 - 3x^2 + 3x - 2) ÷ (x^2 - x + 1)?
Ugo [173]

Answer:

x-2

The choose (1)

Step-by-step explanation:

(x³-3x²+3x-2)÷(x²-x+1)

(x-2)(x²-x+1) ÷ (x²-x+1)

Delete (x²-x+1)

so = (x-2)

4 0
3 years ago
Please help! If you do you will get 'Brainliest'
aalyn [17]

Answer:

B

Step-by-step explanation:

This is because 1/2 down from 1 1/2 is 1 then go 2 down on the number lone and you get 1 (B)

5 0
2 years ago
Read 2 more answers
What should you do first in solving the quadratic equation?<br> x² + 18x + 81 = 25
N76 [4]

Answer:

x= -4,-14

Step-by-step explanation:

Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.

3 0
3 years ago
Other questions:
  • Givem the geometric sequence where à1=2 and the common ratio is 4, what is domain for N
    12·1 answer
  • A marathon is a race that is 42.195 kilometers long. Joel ran two marathons this year. How many total kilometers did he run betw
    5·2 answers
  • What is 4/5 + 2/5 =?
    14·1 answer
  • Georgia ,a florist,charges $10 per flower bundle plus a$15 delivery charge per order what is the slopes​
    7·1 answer
  • Area of square = 9 mm2<br> Perimeter of square=
    15·2 answers
  • Please please help i will mark u brill <br> please fast i need it right know !!!!!
    7·2 answers
  • You are planning a party for all of your friends. The cost of renting a room is $35, cost of food per person is $4. How much wil
    8·1 answer
  • 100 points! Please help asap! Look at the picture attached. My teacher said that both 1 and 2 are neither can someone explain wh
    8·1 answer
  • One way to build stairs is to attach triangular blocks to an angled support, as shown at the right. If the support makes a 32°
    15·1 answer
  • WILL GIVE BRAINLIEST IF U ANSWER THEM BOTH AND ASK A QUESTIONS IN THE COMMENTSSSS
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!