Answer:
The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.
Step-by-step explanation:
The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.
The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero. Let's do it:
So first the area:
2025 = wl
l = 2025 / w
Now the sides:
[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]
Then we can take its derivative with respect to w
[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]
Now we can set the derivative to zero, and solve for w:
[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]
So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.
help asap plsss!!!!!!!!!!!
Square root of 243 please
Answer:
15.5884572681
Step-by-step explanation:
What is the result when we simplify the expression
(
1
+
1
x
)
(
1
−
2
x
+
1
)
(
1
+
2
x
−
1
)
?
Answer:
Step-by-step explanation:
Here you go mate
Step 1
(1+1x)(1-2x+1)(1+2x-1) Equation/Question
Step 2
(1+1x)(1-2x+1)(1+2x-1) Remove parenthesis
-2x^2+2-4x^3+4x+2x^2-2
Step 3
-2x^2+2-4x^3+4x+2x^2-2 Simplify
-4x^3+4x
Answer
-4x^3+4x
Hope this helps
Answer:
2x(1+x)(-2x+2)
Step-by-step explanation:
(1+x)(1-2x+1)(1+2x-1)
(1+x)(-2x+2)(1+2x-1)
(1+x)(-2x+2)*2x
2x(1+x)(-2x+2)
Plz help I’m dumd and I can’t answer it
Answer:
11
Step-by-step explanation:
25% is 0.25 or 1/4
44 x 0.25 =11
The graph of a quadratic is U-shaped.
True or False
Answer:
True
Step-by-step explanation:
It's called a Parabola
I will give brainlist please someone help!!!
Answer:
x = 6
Step-by-step explanation:
Alternate angles are congruent.
7x - 9 = 3x + 15 {Subtract 3x form both sides}
7x - 3x -9 = 15
4x - 9=15 {Add 9 to both sides}
4x = 15+9
4x = 24
x = 24/4
x = 6
Convert 4.2% to an
equivalent decimal.
Answer:
0.042
Step-by-step explanation:
divide by 100
Remember:
To convert a Decimal to Percent, you multiply the decimal by 100
To convert a Percent to a Decimal, you divide by 100
Answer:
0.042
Step-by-step explanation:
[tex]4.2/100 = 0.042[/tex]
Samuel is buying a pair of boots with an original price of $80.
• Store A is offering a 25% discount off the original price of all boots.
• Store B is offering a $10 discount off the original price of all boots.
Based on this information, which statement is true?
The best deal was given by store A. Because the price at store A is less than store B.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Samuel is purchasing a couple of boots with a unique cost of $80.
Store A is offering a 25% markdown off the first cost, everything being equal. Then the price of the boot will be given as,
⇒ (1 - 0.25) x $80
⇒ 0.75 x $80
⇒ $60
Store B is offering a $10 markdown off the first cost, all things considered. Then the price of the boot will be given as,
⇒ $80 - $10
⇒ $70
Based on this information, the best deal given by store A.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Which equation gives the closest estimate of 692 – 343?
Answer:
350
Step-by-step explanation:
Nearest hundred: 300
Nearest whole number: 350
Hope this helped!
A certain type of bacteria doubles each day. On day 3, there is 100
bacteria. On day 4 there is 200 bacteria. How much bacteria was there on
day 3.5?
Answer:
150
Step-by-step explanation:
Answer: 150
Step-by-step explanation:
HELPPPP IM NOT SMART EASY 10 POINTS
slope: 2
y-intecept: (0,12)
equation: y=2x+12
Explanation: I have done it on a test before and got it correct.
Find the difference.
(6d+5) - (2-3d)
Answer:
=6d+5-2+3d
=9d+3
=3(3d+1)
hope it helps.
Answer:
beb gfnv mor
join fasttttt
PLEASE HELPPPPPPP,
Complete the table
f(u)=u2-6u
Answer:
u = -2 ; f(u) = 16
u = 0 ; f(u) = 0
u = 2 ; f(u) = -8
u = 4 ;f(u) = -8
Just Substitution a number in u
Step-by-step explanation:
hope it helps ☺️
what is 9x9x9x9x9x9x9x9x9x9x9
Answer:
Raise 9 to the power of 11.
[tex]9^{11}[/tex] = 31381059609
Step-by-step explanation:
Answer:
3486784401
Step-by-step explanation:
9×9=81×9=162.......
Woof woof dog school offers dog training classes. During this session 7 puppy's were enrolled for 4 adult dogs enrolled.how many total dogs were enrolled for this session
the answer is 28
because 4 x 7 is 28
What is the solution of each equation?
a
no solution
b
infinitely many solutions
c
8
d
-8
Answer:
b
Step-by-step explanation:
2(h-8)-h=h-16
step 1 distribute 2 to whats in the parenthesis
2h-16-h=h-16
step 2 combine like terms
h-16=h-16
add 16 to each side
h=h
subtract h from each side
0=0
this would have an infinite amount of solutions
A cube measuring 6cm a side is painted red, and then cut up into 216 smaller cubes each 1 cm cubed in volume. How many of the smaller cubes are painted on exactly one surface.
Answer:
216 cm^3.
Step-by-step explanation:
All cubes on the external sides with only a single surface exposed to the paint can be ... If this cube is cut into 216 equal small cubes, how many small cubes will have no ... So let's find out first all cubes which have at least one face coloured ... Let us consider a cube having each side of 6cm then it's volume will be 216 cm^3.
What is the answer to this question?
PLEASE HURRY!! What is the location of point A?
Answer:
(-2,1) or Option 4
Step-by-step explanation:
So the way I did it is you look at the row x first then y. So when looking at row x you see that point A is located at -2. Then when you are looking at column y you see that point A is at 1.
So (-2,1) is your answer.
Hope this helps ;)
As an estimation We are told 5 miles is 8 km convert 27. 5 miles to km
Answer:
approx. 44 km
Step-by-step explanation:
We are given that :
5 miles ------> 8 km
we divide both sides by 5 to get the unit rate:
1 miles ------> 8/5 km
Therefore:
27.5 miles -----> 27.5 miles x (8/5) = 44 km
Solve the following inequality for r. Write your answer in simplest form.
-5r + 2(-3r +5) > - 2r - 8+ 3r
Answer:
r < 3/2
Step-by-step explanation:
:0
Fay has a lemonade stand.
She spends £28 on ingredients.
She sells each glass of lemonade for £1.30.
If she sells 50 glasses of lemonade, what is her total profit?
Answer:
£65
Step-by-step explanation:
I’ll give 100 points please help look at the picture for question
Answer:
17-7
Step-by-step explanation:i think its 17-7 Hope this helps !
If there are 48 boys and 16 girls in a room, fill out all of the possible ratios of boys to girls that could be made
Answer:
there are 12 boys for every 4 girls.
I'm givin all 25 of my points, please help me solve this
Answer:
4(7y-8)
Step-by-step explanation:
Calculate the area if the composite figures
(check images)
Answer:
for the first question it is 200m2
Step-by-step explanation:
you do 10x10 =20 plus one zero because there is one more side.
You and a friend tutor for a total of 12 hours. Use the
tape diagram to find how many hours you tutor.
You
Friend
What does prime factorization mean to you ?
Answer:
Prime factorization is finding prime number that are multiply together to make the original number.
Step-by-step explanation:
Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out. 1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. 2. Simplify both sides. Show your work. 3. Is x = 6 a solution to the equation? Why or why not? 4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.
Answer:
x = 7Step-by-step explanation:
Testing if 6 is the solution:
5(x – 3) = x + 135(6 - 3) ? 6 + 135(3) ? 1915 ≠ 196 is not a solution
---------------------------------------------
Solving for x:
5(x – 3) = x + 13 ⇒ open parenthesis5x - 15 = x + 13 ⇒ isolate variable5x - x = 13 + 15 ⇒ simplify4x = 28 x = 28/4x = 7Answer:
x = 7
Step-by-step explanation:
The ratio of cars to trucks in a shopping mall is 3 cars to 7 trucks. What is the ratio of trucks to cars? 3:10 3:7 7:3 7:10
Answer: 7:3
Step-by-step explanation:
From the question, we are given the information that the ratio of cars to trucks in a shopping mall is 3 cars to 7 trucks.
The ratio of trucks to cars will simply be the reverse of the ratio given. This will be: = 7:3
Answer:
7:3
Step-by-step explanation:
it says what is the ratio of truck to cars so how many trucks are there? 7 trucks . and how many cars are there? 3 cars so it is 7:3 because there are 7 trucks and 3 cars so you put both of them together there is your answer. Ratio's are very easy.