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
marusya05 [52]
3 years ago
11

Liev is assembling a coffee table. The diagram below is from the instruction manual and shows the table after the first two legs

have been attached.
Note: Figure is not drawn to scale.
The next step in assembling the coffee table is to attach support from point D to point C, which is halfway down leg A

The table legs are each 18 inches tall. What is the length of the support?

Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

The support is 41 inches long.

Step-by-step explanation:

There's two ways we can do this: one with the diagonal formula and one without.

Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is d = \sqrt{l^{2} + w^{2} + h^{2} }. Let's put in those numbers:

d = \sqrt{32^{2} + 24^{2} + 9^{2} } =  41

Therefore, the support is 41 inches long.

--------------------------------------------------------------------------------------------------------------

Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.

24^{2} + 32^{2} = c^{2} \\576 + 1024 = c^2\\1600 = c^2\\\sqrt{1600} = \sqrt{c^2}\\ 40 = c

Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:

9^{2} + 40^{2} = c^{2}\\ 81 + 1600 = c^2\\1681 = c^2\\\\sqrt{1681} = \sqrt{c^2} \\41 = c

Again, the support is 41 inches long.

You might be interested in
Can you simplify 3(x+2) = 3x+6 in distributive property
Vanyuwa [196]

Hello XD

3(x+2) = 3x+6

Distributive property

(3)(x)+(3)(2) = 3x+6

3x+ 6 = 3x+6

Now subtract 3x from both sides

3x+6-3x = 3x+6-3x

6=6

Subtract 6 from both sides

6-6 = 6-6

0=0

In this case the answer is : All real numbers are solution

3 0
2 years ago
Read 2 more answers
WHERE DO I DRAG THE LAST TWO
Anastasy [175]
-3/4 goes between -1 and 0 it is the 3rd line to the left and n would go between positive 0 and 1 on the 3rd line to the right
4 0
3 years ago
90 Points. PLEASE HELPPP!!! ILL SELECT BRAINLIESST
forsale [732]

Answer:

Step-by-step explanation:

A)

these are the intervals of people who are at least adults and are mature enough to take the survey seriously and answer correctly.

B)

You can say with 95 percent certain of the real mean of the population, but you acknowledge that due to difficulties such as, sampling error, real-life problems such as bad weather, bad vision of the surveyed, not knowing the language and due to bad wording, your answers are unsure is the range  of 8 percent due the fluctuation of data caused by bad circumstances.

C)

I believe there should be a quota of 50 to 50 percent to make the data the most equal, though I understand that there may not be an equal distribution of land and cell lines among the U.S. mature populace.

D)

(Since I don't have the data, I can't answer part 4)

6 0
3 years ago
If the radius of a circle with a area of 5.3 mm squared is multiplied by 5,
chubhunter [2.5K]
I'm guessing the question is meant to be "<span>If the radius of a circle with a area of 5.3 mm squared is multiplied by 5, what will the new area be?", so i'll answer that.

Area of a circle =</span>πr^2

5.3=πr^2, 5.3=π(5r)^2
132.5=25πr^2
6 0
3 years ago
Witch equation represents a linear function
olya-2409 [2.1K]
Y=3x2+1
Hope this helped :)
5 0
3 years ago
Other questions:
  • How many solutions do parallel lines have?
    6·1 answer
  • Which is a solution to (x – 3)(x + 9) = –27?<br><br> x = –9<br> x = –3<br> x = 0<br> x = 6
    13·2 answers
  • The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run?
    6·1 answer
  • I need help now is due today!!!! : An animal shelter houses only cats and dogs, and there are 25% more cats than dogs. If there
    7·1 answer
  • Yam you has a board 25 feet long. He wants to cut the board into 4 1/2 foot lengths? Into how many 4 1/2 foot lengths can he cut
    8·2 answers
  • How many ounces are in 2 ounces
    10·2 answers
  • HELP QUICK. I WILL THUMBS UP
    11·2 answers
  • X - 10.2 &gt; 5.3 <br> PLSSSSSS HELP ME SOLVE THIS PROBLEM!!!!...
    7·1 answer
  • Plzzzzzzzzzzzzzzzzzzzzzzzzzz
    5·1 answer
  • Carla can fill 5 glasses with soda every 20 seconds. Complete the table using equivalent ratios.​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!