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
Ksenya-84 [330]
3 years ago
13

A rectangle with length n and height m. A right triangle with hypotenuse n + 1, length n, and height m.

Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0

9514 1404 393

Answer:

  C. 12cm

Step-by-step explanation:

The equation for the perimeter of the rectangle is ...

  P = 2(L+W)

  34 = 2(n +m)

Solving for m, we get

  m = 17 -n . . . . . . . divide by 2, subtract n

__

The Pythagorean theorem gives the relationship between the sides and the hypotenuse

  m^2 +n^2 = (n+1)^2

  (17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m

  289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses

  n^2 -36n +288 = 0 . . . . . . . put in standard form

  (n -12)(n -24) = 0 . . . . . . . . . factor

  n = 12 . . . . . . . . . . n=24 is an extraneous solution here

The value of n is 12 cm.

You might be interested in
What is the product?<br> (-35 +21)(45-1)
FinnZ [79.3K]

Answer:

-616

Step-by-step explanation:

First subtract 35 with 21 since 35 is a negative. then subtract 45 with 1

for the first parenthesis would be -14. the second parenthesis would be 44.

then multiply both of the answers together to get -616

6 0
3 years ago
Read 2 more answers
craig scored 12 points in a game marla scored twice as many points as craig but 5 fewer points than nelson scored write an expre
12345 [234]
12(2)+5

Dang, you're an elementary school er? Good grief i'm and 8th grade math one student!
8 0
2 years ago
and what the length of the ramp between the building is _______ feet. (round to the nearest tenth of a foot)
nirvana33 [79]

Answer:

i. think. its. c.

5 0
3 years ago
2. The area of the rectangle shown is 375 square centimeters,
polet [3.4K]

Answer:

15

Step-by-step explanation:

Area is l x h. If that's the case then we need to do the oposite of multiplication to get the answer we need. Divide 375cm an 25cm to get your answer.

Original Equation:

A = l x h

New Equation:

A/l = h

8 0
3 years ago
Find the solution for y=2x-1 y=3x+2
ziro4ka [17]
ANSWER: (-3,-7)
Set them equal to each other so, 2x-1=3x+2 to find x. You should get x= -3


Then you plug in -3 for x to find Y for either y=2x-1 or y=3x+2. I’m picking y=3x+2 so when you plug in -3 to x it will be y=3(-3)+2 = -7 . So therefore y=-7




6 0
3 years ago
Other questions:
  • What is the length of the unknown leg in the right triangle?<br><br> answers on second image.
    13·1 answer
  • Use a proportion to solve the problem. Round to the nearest tenth as needed.
    5·1 answer
  • I really need help on my math
    9·1 answer
  • Can a point have two different reflection images over the same line? Why or why not?
    15·1 answer
  • En un censo realizado en escuelas de enseñanza media superior de un municipio, participaron 8 escuelas que indicaron la cantidad
    9·1 answer
  • Help? A game of chance has a spinner with five equal-sized sections. The results of 625 spins are shown below:
    9·2 answers
  • Solve this system by using the elimination method. 2x + 3y = - 12 - x - 3y = 18
    6·1 answer
  • Find the measure of KL<br><br> A. 10<br> B. 5<br> C. 7<br> D. 8
    8·1 answer
  • Three other ratios equal to 5:7 show your work.
    15·1 answer
  • Which is greater?<br> B. 42%<br> A. 0.482
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!