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
25 points!!!! HELP ANSWER!
Fantom [35]

Answer:

a) 1st and 2nd

b) 4th one

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Pls help me solve this one please..<br> (3/4)to the 2nd power +(1/2)to the second power
andriy [413]
9/16 + 1/4
9+4/16
13/16

Alternative form
0.8125
5 0
3 years ago
The second quartile of a data set is 4.2. Which statement about the data values is true?
Setler [38]
The second quartile is also the median. which is 50% of the data. So 1/2 of the data lies below it, and 1/2 of the data lies above it.
the correct answer would be A. the data value of 2.5 will lie below the second quartile.
6 0
3 years ago
Read 2 more answers
Helppppppppppppppppppppppppp
kumpel [21]
Answer:
x = 10

Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)

Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)

This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions

Hope this helps :)
5 0
3 years ago
As part of a class project, a university student surveyed students in the cafeteria to look for a relationship between the stude
sweet [91]
Wheres the table?????
6 0
3 years ago
Other questions:
  • The parent function of the logarithm is f(x) =log x. if g(x) = log(x-4)-3 write down the transformation
    11·1 answer
  • Divide. Express your answer in lowest terms. - 7/10 divide by (- 4/5)
    6·2 answers
  • Draw a rectangle. Find the area of the rectangle if the length is 30 cm and the width is 72 cm.
    15·2 answers
  • If ABC=PQR, then <br> BC=?
    11·1 answer
  • SOLVE. 3 sin x + 5 cos x = 0
    13·2 answers
  • Help! answer options included
    10·1 answer
  • Graph the linear equation y=7/2
    12·1 answer
  • Felicity needs to buy 3 dozen cookies for a party. The first 16 cookies cost $0.28 each. The rest cost $0.19.
    13·2 answers
  • Name the Solid.
    14·1 answer
  • Kiara bought cupcakes for her sister's birthday party. 25% of the 72 cupcakes had sprinkles
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!