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
liberstina [14]
3 years ago
8

The hypotenuse of a right triangle is 8 cm longer than the longer leg. The shorter leg is 17 cm shorter than the longer leg. Fin

d the length of the longer leg of the triangle.

Mathematics
2 answers:
balu736 [363]3 years ago
5 0

Answer:

  45 cm

Step-by-step explanation:

Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...

  (x +8)^2 = x^2 +(x -17)^2

  x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses

  0 = x^2 -50x +225 . . . . . put in standard form

  0 = (x -45)(x -5) . . . . . . . . factor

Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.

The length of the longer leg of the triangle is 45 cm.

Alik [6]3 years ago
5 0

Answer:45

Step-by-step explanation:

You might be interested in
For a Brainlist !!!!!!!
UNO [17]

y=-7x+2

m=-7, so that's a negative slope.

b=2, so the y-intercept is (0,2).  That's a postiive y-intercept.

Solve 0=-7x+2 to find the x-intercept.

     7x=2

       x=2/7

The x-intercept is (2/7,0), so that's a positive x-intercept.

6 0
2 years ago
Which are differences of perfect cubes? Select two options
schepotkina [342]

Answer: The last 3 choices

3 0
3 years ago
Read 2 more answers
G
kvv77 [185]

Answer:

Girls in Mr. Chang's class: 28 - 21 ; # girl students = # total students - # boy students ; 7 girl students.

Boys in Mr. Chang's class: 28 - 7 ; # boy students = # total students - girl students ; 21 boy students.

8 0
3 years ago
Find the total area the regular pyramid.<br><br><br><br> T. A. =
alexira [117]
The answer would be   A = 54raiz (3) + 18raiz (91)
Formula:
 A = Ab + Al Where, Ab=base area A= lateral area

 The area of the base is: Ab = (3/2) * (L ^ 2) * (root (3)) Where, L= side of the hexagon. Substitute: Ab = (3/2) * (6 ^ 2) * (root (3)) Ab = (3/2) * (36) * (root (3)) Ab = 54raiz (3)


 The lateral area is: Al = (6) * (1/2) * (b) * (h) Where, b= base of the triangle h= height of the triangle Substitute: Al = (6) * (1/2) * (6) * (root ((8) ^ 2 + ((root (3) / 2) * (6)) ^ 2)) Al = 18 * (root (64 + 27)) Al = 18raiz (91)

 The total area is: A = 54raiz (3) + 18raiz (91)

6 0
3 years ago
Read 2 more answers
60=F(15) <br><br> Please solve this and show work, please
Lubov Fominskaja [6]

Answer:

f = 4

Step-by-step explanation:

60= 15f

divide both side by 15

f = 4

3 0
3 years ago
Other questions:
  • Larissa earns base salary of $500.00 per week plus commission on any sales. How much will she have to sell to earn $750.00 week?
    10·1 answer
  • Elliot got some new tradeing cards.He has 4 packs with 20 cards each.Another pack has only 8 cards.Whats another way to find how
    8·2 answers
  • PLEASE HELP ME!!!! ASAP PLEASE!
    11·1 answer
  • Graph the inequality x &lt; 6<br> Please someone help now :(
    13·1 answer
  • Please explain this to me UwU
    9·2 answers
  • Give the algebraic expression (answer if your smart)
    5·1 answer
  • What is the answer to (13x+30)-(20x+6)
    8·1 answer
  • Find the area of the rhombus.<br><br><br>d1 = 18 m; d2 = 16 m
    9·1 answer
  • The ratio of the measures
    9·1 answer
  • Find the length of a side of a square if its area is:<br> 0.49 square units
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!