answer.
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
Lemur [1.5K]
1 year ago
15

The ceiling of Katie’s living room is a square that is 10 ft long on each side. Katie knows the diagonal of the ceiling from cor

ner to corner must be longer than 10 ft, but she doesn’t know how long it is.
Solve for the length of the diagonal of Katie’s ceiling in two ways. Be sure to show your work for each method. Round to the nearest whole number. Your answers should be the same.

a. Using the Pythagorean Theorem











b. Using Trigonometry Ratios (Hint: what angle is formed when you cut the square diagonally?)
Mathematics
1 answer:
CaHeK987 [17]1 year ago
5 0

Answer:

Answer: 14 feet. a. The Pythagorean theorem is a^2 + b^2 = c^2, where a and b are the sides of a right angle. By plugging in the sides of the wall, and solving for c, you can find the answer. 10^2 + 10^2 = c^2

| 100 + 100 = c^2 | 200 = c^2 | c = sqrt 200 | c = 14. The other way to solve this would be using the trig functions. You know that the angle between the hypotenuse and the wall side is 45 degrees, so you can use Sine to determine the hypotenuse. Sine is equal to opposite over hypotenuse. Sin (45) = 10/h | Sin (45) * h = 10 | h = 10/Sin (45) | h = 14. Both of the methods result in 14.

Read more on Brainly.com - brainly.com/question/16274528#readmore

Step-by-step explanation:

You might be interested in
How many nonzero elements are in the matrix below?
yawa3891 [41]

we will find number of non-zero elements on each rows

and then we add them

First row:

we can see that non-zero elements are

2 , 3.1 , 22 , 9

so, number of non-zero elements in first row =4

Second row:

we can see that non-zero elements are

21 , 3.2 , 6

so, number of non-zero elements in first row =3

Third row:

we can see that non-zero elements are

1 , 42 , 8

so, number of non-zero elements in first row =3

Fourth row:

we can see that non-zero elements are

40 ,4 , 6,14

so, number of non-zero elements in first row =4

Fifth row:

we can see that non-zero elements are

10 , 20 , 13 , 5 , 6.3

so, number of non-zero elements in first row =5

now, we can add them

so,

total number of non-zero elements = 4 +3+3+4+5

so,

total number of non-zero elements is 19...........Answer



8 0
2 years ago
Read 2 more answers
If each coded item in a catalog begins with 3 distinct letters followed by 4 distinct nonzero digits, find the probability of ran
laila [671]

Answer: 10/117

Step-by-step explanation:

3 distinct letters and 4 distinct nonzero digits

For letters: A → Z = 26 options

For numbers: 1 → 9 = 9 options

As we have 26 options for letters and 9 for numbers and they have to be distinct, for the total of codes we have

Total of codes: 26.25.24.9.8.7.6

For the particular code asked, we have 5 options of vowels and 4 options of even numbers, so

5.25.24.8.7.6.4

probability: <u>5.25.24.8.7.6.4</u> =    <u>10</u>

                   26.25.24.9.8.7.6     117

3 0
2 years ago
Can you answer this plzz and the pic that goes with it???????? Thx soo much!!!!!
kkurt [141]

Answer: c. t > 82

Step-by-step explanation:

Let t represent the number of tickets that the committee would sell.

The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. This means that the revenue that they would generate from selling x tickets is

72 + 4x

The dance will cost $400.

To make profit, revenue must be greater than cost. Therefore, the inequality to determine the number of tickets the committee could sell to have money left over after they pay for this year's dance is

72 + 4x > 400

4x > 400 - 72

4x > 428

x > 328/4

x > 82

5 0
1 year ago
Read 2 more answers
The graph shows the location of Grant's, Hannah's, and Isobel's houses. Each unit on the graph represents 1 block. A coordinate
Alja [10]
A^2 + b^2 = c^2
5^2 + 7^2 = c^2
25 + 49 = c^2
74 = c^2
sqrt 74 = c
8.6 = c

so grant's to Isabelle's is 8.6 blocks, then from there to hannah's house, which is 7 blocks....so he walks a total of 8.6 + 7 = 15.6 blocks




7 1
2 years ago
Read 2 more answers
Jeremy walks into a video arcade with a pocketful of quarters. He spends them at a rate of four every quarter hour until he runs
sdas [7]
The answer is A as he has all of the quarters when he spends no time in the arcade
5 0
2 years ago
Read 2 more answers
Other questions:
  • the cost of an annual tuition at a university increased from 10,500 to 11,300 what is the percent increase in tuition to the nea
    14·1 answer
  • Cindy owns a rectangular lot that is 18 yards long and 45 feet wide. She is going to cover the lot with square pieces of sod. If
    7·2 answers
  • A bridge builder wants to know the width of a river. He stands at point A along the river. He picks a point C directly across th
    14·1 answer
  • Write an integer whose absolute value is greater than itself.
    5·1 answer
  • Lacey is attending a university where the cost for one year is $10,500. She has a scholarship worth $6,000 and a grant worth $90
    13·1 answer
  • Neptune’s average distance from the sun is 4.503 x 10e9 km. Mercury’s average distance from the sun is 5.791 x10e9 km.about how
    12·1 answer
  • Tiana has already taken 1 page of notes on her own, and she will take 1 page during each hour of class. In all, how many hours w
    5·1 answer
  • The Sluggers go out for pizza after a game. Five large pizzas plus three medium pizzas together have 110 slices. Two large pizza
    7·1 answer
  • The number of typos made by a student follows Poisson distribution with the rate of 1.5 typos per page. Assume that the numbers
    12·1 answer
  • 1. Ernie Boddy had $3,620.00 on deposit at savings bank on July 1. The money earns interest at a rate of 6.5% compounded quarter
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!