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
nalin [4]
4 years ago
6

The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area

of the yard is 540 square feet, how many feet shorter than the length is the width?

Mathematics
2 answers:
professor190 [17]4 years ago
4 0

Answer: The width is 12 feet shorter than the length.

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

A=lw

Where "l" is the lenght and "w" is the width of the rectangle.

 We know that lenght of Jennie's yard is 30 feet, the width is (30-x)ft and the area is 540 square feet. Then:

l=30\\w=(30-x)\\A=540

Substitute these values into the formula and then solve for "x":

A=lw\\\\540=30(30-x)\\\\540=900-30x\\\\30x=900-540\\\\x=\frac{360}{30}\\\\x=12

Therefore, the width is 12 feet shorter than the length.

Darya [45]4 years ago
3 0

Answer:

12

Step-by-step explanation:

You might be interested in
The value of the cumulative standardized normal distribution at z is 0.8770. what is the value of​ z?
Vinvika [58]
<span>The value of z is 0.8770. This answer was derived from information in the question, which states that the value of z is 0.8770. Granted, I don't understand what is meant by "cumulative standardized normal distribution." I only passed statistics because the professor felt sorry for me.</span>
4 0
3 years ago
Read 2 more answers
Find the slope for each pair of points. (-2,5), (3,-4) <br> help plssss
pishuonlain [190]
The answer would be -26
6 0
4 years ago
If f(x)=2x+sinx and the function g is the inverse of f then g'(2)=
Alexxx [7]
\bf f(x)=y=2x+sin(x)&#10;\\\\\\&#10;inverse\implies x=2y+sin(y)\leftarrow f^{-1}(x)\leftarrow g(x)&#10;\\\\\\&#10;\textit{now, the "y" in the inverse, is really just g(x)}&#10;\\\\\\&#10;\textit{so, we can write it as }x=2g(x)+sin[g(x)]\\\\&#10;-----------------------------\\\\

\bf \textit{let's use implicit differentiation}\\\\&#10;1=2\cfrac{dg(x)}{dx}+cos[g(x)]\cdot \cfrac{dg(x)}{dx}\impliedby \textit{common factor}&#10;\\\\\\&#10;1=\cfrac{dg(x)}{dx}[2+cos[g(x)]]\implies \cfrac{1}{[2+cos[g(x)]]}=\cfrac{dg(x)}{dx}=g'(x)\\\\&#10;-----------------------------\\\\&#10;g'(2)=\cfrac{1}{2+cos[g(2)]}

now, if we just knew what g(2)  is, we'd be golden, however, we dunno

BUT, recall, g(x) is the inverse of f(x), meaning, all domain for f(x) is really the range of g(x) and, the range for f(x), is the domain for g(x)

for inverse expressions, the domain and range is the same as the original, just switched over

so, g(2) = some range value
that  means if we use that value in f(x),   f( some range value) = 2

so... in short, instead of getting the range from g(2), let's get the domain of f(x) IF the range is 2

thus    2 = 2x+sin(x)

\bf 2=2x+sin(x)\implies 0=2x+sin(x)-2&#10;\\\\\\&#10;-----------------------------\\\\&#10;g'(2)=\cfrac{1}{2+cos[g(2)]}\implies g'(2)=\cfrac{1}{2+cos[2x+sin(x)-2]}

hmmm I was looking for some constant value... but hmm, not sure there is one, so I think that'd be it
5 0
3 years ago
MACRS depreciates automobiles in 6 years using these percents:
tia_tia [17]
Given that the book value of the automobile that was purchased is 30,000 and is to be depreciated for 3 years using MACRS method of depreciation the value of the automobile at the end of the year is 8,640 dollars.  This is computed by summing up the depreciation for the firswt 3 years which is equal to 71.2 per cent less 100 then it will be multiply to 30,000.
4 0
3 years ago
Read 2 more answers
Y = x^3 + 5x^2 + 3x x= -3
dexar [7]

Answer:

9

Step-by-step explanation:

-3^3 +5*(3)^2 +3*-3

-27+5*9+(-9)

-27+45-9

=9

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is 2 fifths plus 3 tenths
    15·2 answers
  • Hi please help me with this math question​
    10·1 answer
  • A classroom had 14 glue sticks. If the ratio of glue sticks to glue bottles was 3:1, how many glue bottles did the classroom hav
    11·2 answers
  • In the first fifth of the season the Madrigals played 12 games.
    10·1 answer
  • What is the solution to the equation below? Round your answer to two<br> decimal places.<br> 2^3x=91
    5·2 answers
  • Which information is necessary to solve this story problem? Sam had a total of 14 people at his skating party. The party lasted
    15·1 answer
  • Costom duty of 30 % is charged when electrical item are imported. If 9000 rupees has to be paid as customs duty when an item of
    15·1 answer
  • Find the surface area of a cylinder
    8·1 answer
  • Which of the following is equivalent to 23 X^-1/2
    9·1 answer
  • If a right cylinder has the same volume as the oblique cylinder shown here, what is the base area of the right cylinder? Use 3.1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!