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
adell [148]
3 years ago
7

The diagonal of rectangle ABCD measures 2 inches in length What is the length of line segment AB?

Mathematics
2 answers:
sesenic [268]3 years ago
6 0
Unfortunately, this item does not come with any figure to illustrate the lengths of the rectangle. However, it may be noted that by connecting two opposite vertices of a rectangle by a diagonal, we form a right triangle. We may then use the Pythagorean theorem to solve for the answer. 
                                     a² + b² = c²
c in this equation is the length of the diagonal, a and b are the lengths of the sides. 
blsea [12.9K]3 years ago
5 0

For this case what we should do is define the variables.

We have then:

AB: length of the rectangle

BC: rectangle width

d: diagonal of the rectangle

The diagonal of the rectangle is given by:

d ^ 2 = AB ^ 2 + BC ^ 2

From here, we clear the value of AB:

AB ^ 2 = d ^ 2 - BC ^ 2

Substituting values:

AB ^ 2 = 2 ^ 2 - BC ^ 2\\AB ^ 2 = 4 - BC ^ 2\\AB = \sqrt{4 - BC ^ 2}

Answer:

the length of line segment AB is:

AB = \sqrt{4 - BC ^ 2}

You might be interested in
A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet to the nearest whole unit what is
RideAnS [48]
Check the picture below.

\bf \textit{total surface area of a cone}\\\\
SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
-------\\
r=17\\
\sqrt{r^2+h^2}=12
\end{cases}
\\\\\\
SA=\pi (17)(12)+\pi (17)^2\implies SA=204\pi +289\pi \implies SA=493\pi

8 0
3 years ago
wilson jarred 45 liters of jam after 5 days. how much jam did wilson jar if he spent 7 days making jam? solve using unit rates.
Natali5045456 [20]
45/5 = 9 jams a day
x/7 = 9
x= 63 jams a day

Hope this helps!
5 0
3 years ago
Which founder and company sell shoes, but donate as many to the poor as are sold?
Amanda [17]
If your looking for a company maybe Toms? im not sure
6 0
3 years ago
Read 2 more answers
On a coordinate grid, point A is located in the first quadrant. Point B is located at (2, - 1/2
Nookie1986 [14]

Answer:

It's where point B is at (2,0.5)

8 0
2 years ago
Elena is making a grape drink. the recipe calls for 2 parts grape juice concentrate to 6 parts water. elena would like to make 8
SashulF [63]

Answer: 20 oz of juice concentrate and 60 oz of water.


Explanation:


Translate the word statements into algebraic expressions to set a system of equations that you can solve.


1) Name the variables:

  • j: parts of juice concentrate
  • w: parts of water

2) Statement one, 2 parts juice concentrate to 6 parts water, translates into a proportion:

    j / w = 2 / 6


3) Statement two, 80 oz of the drink, tanslates into an equality:

     j + w = 80

4) Solve the system to find how many oz of juice concentrate and water Elena needs:

a) System:

                 j / w = 2 / 6

                 j + w = 80

b) Solve for w in the first equation: w = 6j / 2 = 3j

c) Substitute w in the second equation: j + 3j = 80

d) Combine like terms: 4j = 80

e) Use division property of equality: j = 20

f) Substitue in w = 3j: 3 = 3(20) = 60.


5) Solution: j = 20, w = 60.


6) Verify:

  • j / w = 20 / 60 = 2 / 6 ⇒ right
  • j + w = 20 + 60 = 80 ⇒ right
6 0
3 years ago
Other questions:
  • B. His sister, Janine, used a light bulb that consumed 6080 joules of energy in 190
    14·1 answer
  • 108 inches equals how many feet?
    8·2 answers
  • Can someone help me with numbers 18 and 20? thank you!
    15·1 answer
  • 5 1/2 + 5 1/2 + 5 1/2 + 3 cm =
    15·1 answer
  • Steps to solve the equation<br> -2(x-4)+8=2
    9·1 answer
  • HELP ME PLEASE<br> AB is parallel to CD. If the slope of AB is -3, what is the slope of CD ?
    13·1 answer
  • Pls help right now for 30 points
    12·1 answer
  • Whats one plus 1 and 2 plus 2 and 3 plus 3 times 0 plus 24 times 8
    12·1 answer
  • Please look at the picture, I need help ASAP.
    14·1 answer
  • Takeru Kobayashi of Japan ate 53.5 hot dogs in 12 minutes to win a contest what is the unit rate in hot dogs per minute
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!