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
Marianna [84]
3 years ago
10

PLEASE HELPP !! The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy knows the diagonal of the

ceiling from corner to corner must be longer than 25 ft, but she doesn't know how long it is. Solve for the length of the diagonal of Stacy's ceiling in two ways: (a) Using the Pythagorean Theorem. (b) Using trigonometry . Round each answer to the nearest whole number and make sure to show all your work( Hint: the answers should be the same!)
Mathematics
1 answer:
EleoNora [17]3 years ago
6 0

Answer:

a) d = 36 ft. ( using Pithagoras´theorem )

b) d = 36 ft  ( Using ( function sin ) trigonometry

Step-by-step explanation:

a) Using Pythagoras´Theorem:

Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d²  =  a²  +  b²  

In this particular case  a =  b  =  25 feet then

d² =  (25)²  +  ( 25)²

d  = √ 2 * (25)²

d  = √2   * 25

d  =  1,414*25

d  =  35,35

d = 36 ft.

b) Using trigonometry:

We know that sin 45° = cos 45° =  √2 / 2

In a right triangle

sin α  =  opposite side / hypothenuse (d)

sin 45°  =  √2 / 2   =  25/ d

√2 *d  =  2* 25

d  =  50/√2

d  =  50 / 1,414

d  =  35,36

d = 36 ft

You might be interested in
Can someone help me pls
White raven [17]

Answer:

maybe 223 degrees

Step-by-step explanation:

3 0
2 years ago
Ms.Boyers is baking a cake for the holiday. She needs 3 cups of milk and 1 cup of corn syrup. How many ounces of milk and corn s
olya-2409 [2.1K]

Answer:

she will need 24 ounces of milk and 8 ounces of corn syrup

Step-by-step explanation:

let me know if im right good luck!

5 0
3 years ago
Read 2 more answers
I really need help with this question <br> n+5≤16
ahrayia [7]

Answer:

the answer would be anything 11 and under (11,10,9,8,7,6,5,4,3,2,1,0)

Step-by-step explanation:

This is because if n+5 is less than or equal to 16 then 11+5=16 so that is equal to and less than would be using any number less than 11

hope this helps ;)

3 0
2 years ago
Read 2 more answers
based on the graphic, what can be inferred about the relationship between braking distance and tread depth of tires ?
Reil [10]

Answer: A

Step-by-step explanation:

5 0
2 years ago
What is 33/7 divided by 1 13/14
MA_775_DIABLO [31]
(33/7) / (1 13/14)
= (33/7)/ (27/14)
= (33/7)* (14/27)
= 22/9
= 2 4/9

The final answer is 2 4/9~

3 0
3 years ago
Other questions:
  • What is an equation that goes through the point (-7, 10) and is perpendicular to the line -2x-4y=9
    10·1 answer
  • What is -5x-5(8x)=0 solve for x
    8·2 answers
  • Which value of k makes the inequality 11+2k&gt;19 true?
    9·1 answer
  • In a famous story, a wise man in India requests a reward promised by his king. The wise man shows the king a chessboard having 6
    13·2 answers
  • FRACTIONS<br> Understanding equivalent fractions
    10·2 answers
  • A basket contains 13 pieces of fruit: 5 apples, 5 oranges, and 3 bananas. Jonas takes a piece of fruit at random from the basket
    8·2 answers
  • Find the length of a segment with endpoints Y(2, 8) and Z(- 2, 5) .
    7·1 answer
  • Find the slope of the line for the angle.<br> 330 degrees
    8·1 answer
  • Select ALL of the true statements about the line and it’s equation. ( don’t provide a link it does not work when looking for ans
    5·1 answer
  • Tate and his family went to the Olive Garden for dinner. Their bill was $68.20 and they plan to leave a 20% tip for their server
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!