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
Sean used candle molds, as shown below, to make candles that were perfect cylinders and spheres:
abruzzese [7]
56.52 in^3

V(cylinder) = pi * r^2 * h
V = pi * 3^2 ^ 6
V = pi * 9 * 6
V = 54pi

V(sphere) = (4/3) * pi * r^3
V = (4/3) * pi * 3^3
V = (4/3) * pi * 27
V = 36pi

54pi - 36pi = 18 pi
18 * 3.14 = 56.52
4 0
3 years ago
What is 11+23/60 as a mixed number
hodyreva [135]

Answer:

the answer is 683/60

Step-by-step explanation:

just multiply 60 by 11 then add 23, or multiply the bottom number by the whole number then add the top number

3 0
2 years ago
Round off 9.999 to the nearest 10​
dlinn [17]

Answer:

the answer is 10 you round up a nine it keeps going to the end

6 0
3 years ago
What is the square root of Pi
Sauron [17]

The square root of Pi is approximately 1.77245.

8 0
3 years ago
Read 2 more answers
There is 1/4 ounce of yeast in every 2 1/4 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounce
tatyana61 [14]
Here is the set up:

(1/4)/2 = (9/4)/y

Solve for y.
3 0
3 years ago
Other questions:
  • There are six poles on a side of a 1 km 200 m long straight road such that there is a pole at the starting and end points of the
    6·1 answer
  • if the first 15 sandwiches sold at a restaurant one day, 9 were club sandwiches. at the same rate, how many sandwiches would hav
    5·1 answer
  • Kira buys candy that costs $5 per pound.she will spend more than $45 on candy. What are the possible numbers of pounds she will
    13·1 answer
  • What is the missing term in the geometric sequence?
    7·2 answers
  • Solve the following equation for a. <br><br> a-f=q
    5·1 answer
  • A family has three children. Assuming a boy is as likely as a girl to have been born, what are the following probabilities? Two
    9·1 answer
  • What is the answer to -3+-3
    6·2 answers
  • Need desperate help thanks
    11·1 answer
  • Given 7x + 2 &gt; 58, which number is not in the solution set?
    13·1 answer
  • Find all real numbers x such that <br><br> 6x-21&gt;5
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!