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
Vladimir79 [104]
3 years ago
5

A 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost

due to the cuts. What is the positive difference, in feet, between the greatest possible perimeter of a single-cut piece and the least possible perimeter of a single - cut piece?
Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

18

Step-by-step explanation:

You might be interested in
Clara has a package of six cookies she wants to share equally among her friends if Claire make sure that each piece of cookie wi
Nikolay [14]

Answer:

Clara can feed 10 friend

I may be wrong, but I tried :P

8 0
3 years ago
Line segment 19 units long running from (x,0) ti (0, y) show the area of the triangle enclosed by the segment is largest when x=
Debora [2.8K]
The area of the triangle is

A = (xy)/2

Also,

sqrt(x^2 + y^2) = 19

We solve this for y.

x^2 + y^2 = 361

y^2 = 361 - x^2

y = sqrt(361 - x^2)

Now we substitute this expression for y in the area equation.

A = (1/2)(x)(sqrt(361 - x^2))

A = (1/2)(x)(361 - x^2)^(1/2)

We take the derivative of A with respect to x.

dA/dx = (1/2)[(x) * d/dx(361 - x^2)^(1/2) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(x) * (1/2)(361 - x^2)^(-1/2)(-2x) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(361 - x^2)^(-1/2)(-x^2) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(-x^2)/(361 - x^2)^(1/2) + (361 - x^2)/(361 - x^2)^(1/2)]

dA/dx = (1/2)[(-x^2 - x^2 + 361)/(361 - x^2)^(1/2)]

dA/dx = (-2x^2 + 361)/[2(361 - x^2)^(1/2)]

Now we set the derivative equal to zero.

(-2x^2 + 361)/[2(361 - x^2)^(1/2)] = 0

-2x^2 + 361 = 0

-2x^2 = -361

2x^2 = 361

x^2 = 361/2

x = 19/sqrt(2)

x^2 + y^2 = 361

(19/sqrt(2))^2 + y^2 = 361

361/2 + y^2 = 361

y^2 = 361/2

y = 19/sqrt(2)

We have maximum area at x = 19/sqrt(2) and y = 19/sqrt(2), or when x = y.
3 0
3 years ago
Find the compound amount on an investment of $8,500 at 7.5% compounded daily for 3.5 years.
Leto [7]

Answer:

Accrued Amount: 10955.51, Total Interest: 2455.51

Step-by-step explanation:

A = P(1+r/n)nt

CI = A-P

Where,

CI = Compounded interest

A = Final amount

P = Principal

t = Time period in years

n = Number of compounding periods per year

r = Interest rate

7 0
3 years ago
What odd number comes right before 149,652
Natalka [10]
The odd number before 149652 is 149651
7 0
3 years ago
Read 2 more answers
Factorise the following. x²-4​
slava [35]

(x-2)(x+2) is factorize is given eq

7 0
3 years ago
Other questions:
  • The total revenue for dante's villas is given as the function r(x)=300x−0.2x2, where x is the number of rooms filled. What numbe
    10·1 answer
  • Write an expression for the calculation double 2 and then add 5
    11·2 answers
  • a diver begins a sea level and dives down 200 feet. he ascends at a steady rate of 12 and 1 thirds feet per minute for 4.5 minut
    9·2 answers
  • John rides his horse with a constant speed of 13 kilometers an hour how long will he take to travel a distance of 28.2 kilometer
    7·1 answer
  • When 31 times a number is increased by 40 the answer is the same as two 200 is decreased by the number
    14·1 answer
  • If both x and y are greater than 1, what expression is equivalent to (4x³)²y to the negative fourth
    12·1 answer
  • I NEED HELP ASAP Please
    9·1 answer
  • Find the equation of the line<br> In the form y=mx+b
    13·1 answer
  • A test has 20 questions and is worth 100 points. The unit rate is Points per question?
    12·1 answer
  • Find the roots for the above given quadratic equation.<br><br> Please show the working too.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!