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
yan [13]
4 years ago
13

Suppose you want to build a rectangular sandbox where the width is 5 feet less than the length and the diagonal is 5 feet longer

than the length. what are the dimensions of the sandbox?
Mathematics
1 answer:
Anna11 [10]4 years ago
5 0
Let L = length
     W = L - 5 ←5 feet less than (reverse order - ) the length (L)
     D = L + 5
These 3 lengths form a right triangle with D being the hypotenuse, c.
Using the Pythagorean Theorem, a² + b² = c²
L² + (L - 5)² = (L + 5)²
L² + L² - 10L + 25 = L² + 10L + 25
L² - 20L = 0
L = 0 (can't use this answer) or L = 20 (this is a usable answer)
Dimensions of the sandbox 20 ft by 15 ft 
Length = 20 ft
Width = 15 ft
Diagonal = 25 ft
You might be interested in
“Help me” how........
IrinaVladis [17]
The snake and crocodile use the enviorments differently because all the other answers dont makeany sense.
7 0
3 years ago
Identify the correct triangle congruence theorem.<br> please helpp!
galina1969 [7]

Answer:

SSS

Step-by-step explanation:

5 0
2 years ago
Savana walks 3 1/3 miles to the local park. On her way home, she stops at Randolph’s house after 1 2/3 miles to pick up a book.
goldfiish [28.3K]

Answer:

1 5/6 miles

Step-by-step explanation:

3 1/2 - 1 2/3 convert to improper fractions.

7/2 - 5/3 = 21/6 - 10/6 (common denominator)

21/6 - 10/6 = 11/6

11/6 as a proper fraction is 1 5/6

4 0
3 years ago
Read 2 more answers
Solve for x.<br><br> 3(x-1)-8=4(1+x)+5<br><br> Also could someone please explain how to do this??
Marianna [84]

9514 1404 393

Answer:

  x = -20

Step-by-step explanation:

First, simplify the equation. Eliminate parentheses and combine terms.

  3(x -1) -8 = 4(1 +x) +5 . . . . . . . given

  3x -3 -8 = 4 +4x +5 . . . . . . . . eliminate parentheses (distributive property)

  3x -11 = 4x +9 . . . . . . . . . . . . combine like terms

We can put all the x-terms on the right by subtracting 3x from both sides.

  3x -11 -3x = 4x +9 -3x

  -11 = x +9

And we can get the x-term by itself by subtracting 9 from both sides.

  -11 -9 = x +9 -9

  -20 = x . . . . . . . . . . this is the solution

__

<em>Check</em>

3(-20 -1) -8 = 4(1 -20) +5

3(-21) -8 = 4(-19) +5

-63 -8 = -76 +5

-71 = -71 . . . . . . . . . true, the answer checks OK

_____

<em>Additional comment</em>

We observe that the two x-terms are 3x and 4x. The smaller of these is 3x, so when we subtract that from 4x we will have a <em>positive</em> result. That is why we chose to subtract 3x, even though it leaves the x-term on the right side of the equation. We could have subtracted 4x to get -x -11 = 9. I find it easier not to make a mistake if the variable has a positive coefficient.

3 0
3 years ago
-4x - 3/7y =14 .... if y =14 solve for x
11Alexandr11 [23.1K]
Plug in 14 for y and you get -4x - 6 = 14. so -4x = 20 and x is -5
5 0
4 years ago
Read 2 more answers
Other questions:
  • Perpendicular line to y=1/2x+3
    6·1 answer
  • There are 52 questions on Allison's English test. The multiple choice questions are worth 2 points each, and the short answer qu
    10·2 answers
  • The table shows values for functions f(x) and g(x)
    13·2 answers
  • The counting numbers, together with 0, are called the _ _ _ _ _ numbers.
    12·1 answer
  • the function f(x) =50(1+0.17)^t models the value of a comic book after t years. the growth is compounded annuall. based on the f
    8·1 answer
  • Which square root is between 4 and 5?<br> 10<br> 14<br> w24<br> 32
    11·2 answers
  • Solve for a.<br><br> a + (−5) = 12
    14·2 answers
  • Which is equivalent to the series shown?
    9·1 answer
  • HELP
    13·2 answers
  • Which side lengths could NOT form a triangle?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!