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
Strike441 [17]
3 years ago
15

A triangular bookself has a base of 10 inches,12 inches and 18 inches. Will the bookself fit in the corner of a square living ro

om
Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

No, if fit means that the sides of the book case need to be flush with the wall, which means that the sides of the bookcase are touching the wall and the bookcase fits perfectly in that spot

Step-by-step explanation:

A square room will have corners that meause 90°, so we need to see if any of the vertices of the bookcase measure 90°.  All right triangles have a 90° in them, so we can use Pythagorean Theorem to solve this.

 Pythagorean Theorem is  a² + b² = c²,    where a and b are the legs, and c is the hypotenuse.  Since the hypotenuse is always the longest side, for our bookshelf, 10 and 12 are the legs, and 18 would be the hypotenuse if it is a right triangle.   Plug the values in to see if the equation is true or false

10² + 12² = 18²

  100 + 144 = 324

     244 ≠ 324   so the bookcase does not form a right angle, and won't fit in the corner of the room

You might be interested in
ashton is saving money to buy a new bike. he needs $120 but has only saved 60% so far. How much more money does Ashton need to b
Tasya [4]
Ashton has saved: 60% of $120=(60/100)*$120=(60*$120)/100=$72
Ashton need to buy the bike=$120-$72=$48

He needs to buy the bike=$48
5 0
3 years ago
look for a pattern in the first three diamonds below for the fourth diamond explain how you could find the missing numbers (?) i
mezya [45]
Hmmmm tricky tricky tricky tricky tricky wow wow wow wow still tricky tricky
6 0
3 years ago
Factorise the following completely 3ax+2ay+6bx+4by​
marissa [1.9K]

Answer:

(a+2b)(3x+2y)

Step-by-step explanation:

3ax+2ay+6bx+4by​ = a(3x+2y)+2b(3x+2y) = (a+2b)(3x+2y)

4 0
3 years ago
Read 2 more answers
In the number 11.278, the 7 is located in the _____ place.
professor190 [17]
B.) thousandths because the first one is tenths and the second is hundredths. Also because it is after the decimal
6 0
3 years ago
Read 2 more answers
Vcv-hqxf-qod meet code LOL
meriva

Answer:

yoo

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Help please!!! Anyone who can do math I can pay you if you dm me
    12·1 answer
  • Explain how we do decimals plus Fractions
    7·2 answers
  • What equation describes a parabola that opens left or right and whose vertex is at the point (h, v)?
    7·2 answers
  • 2.4 times (-8.3) how much would it equal
    9·2 answers
  • In farming, the relationship between precipitation during the growing season and crop yield is quadratic. The following table sh
    11·1 answer
  • What is 5 decreased by x
    7·2 answers
  • Given g (x) = -2 x -1 ,find g(1)
    9·1 answer
  • If 9x + 12 = 48 what is x-10?
    14·2 answers
  • Which ordered pair is a solution to the inequality 3x-4y<12 ?
    13·1 answer
  • Ashley is the oldest of four siblings whose ages are consecutive even integers. If the sum of their ages is 100, find Ashley's a
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!