Answers
And the explanation is Area= Length x Width and Perimeter= Length + length + width + width
Related Questions
A box is to be made out of a 12 by 20 piece of cardboard. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the length L , width W , and height H of the resulting box that maximizes the volume.
Answers
Answer:
Box Dimensions:
L = 15.15 ul
W = 7.15 ul
h = x = 2.43 ul
V(max) = 263.22 cu
Step-by-step explanation:
We call x the length of the square to be cut in the corners then:
Are of the base of the box is:
(20 - 2*x) is the future length of the box and
(12 - 2*x) will be the width
The heigh is x then the volume of the box is:
V = ( 20 - 2*x )* ( 12 - 2*x ) * h
And the volume as a function of x is:
V(x) = ( 20 - 2*x) * ( 12 - 2*x ) * x or V(x) = (240 -40*x -24*x + 4*x²) * x
V(x) = 240*x - 64*x² + 4*x³
Taking derivatives on both sides of the equation we get:
V´(x) = 240 - 128*x + 12*x²
V´(x) = 0 240 - 128*x + 12*x² = 0 or 60 - 32*x + 3*x²
3*x² - 32*x + 60 = 0
Solving:
x₁,₂ = 32 ± √ (32)² - 4*3*60 ]/ 2*3
x₁,₂ = 32 ± √ 1024 - 720 )/6
x₁,₂ = ( 32 ± √ 304 )/6
x₁,₂ = ( 32 ± 17.44 )/6
x₁ = 8.23 ( we dismiss this solution because is not feasible 2*x > 12
x₂ = 2.43 u.l ( units of length)
Then
L = 20 - 2*x L = 20 - 4.85 L = 15.15 ul
W = 12 - 2*x W = 12 - 4.85 W = 7.15 ul
h = 2.43 ul
V = 2.43*7.15*15.15 cubic units
V = 263.22 cu
To see if when x = 2.43 function V has a maximum we go to the second derivative
V´´(x) = - 128 + (24)*2.43
V´´(x) = - 69.68 as V´´(x) < 0 then we have a maximum for V(x) in the point x = 2.43
Someone please help me with this :/
5.Express the number 0.307 x 10-Bin
scientific notation,
A
3.07 x 10-9
B
3.07 x 10-6
3.07 x 10-1
3.07 x 10-8
Answers
Answer:
A
Step-by-step explanation:
Write the nunber in scientific notation which we need to add -1 to 10 power to made it 3.07.
How many points need to be removed from this graph
so that it will be a function?
0 1 point
0 2 points
O 3 points
-5-4-3-2-1
112
O 4 points
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Answer:
I think it is 2 points for this .
This question is very important I will give Brainliest for the correct answer!! It's just perimeter but I'm a little confused.
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Explanation: Width x Length is how you solve.
If I eat 20 cupcakes and A=chicken nuggies what color is the imposter? True or false. extra points if you explain your answer.
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Answer:
true
Step-by-step explanation:
because your susy
If q||r, solve for x
Answers
Answer:
12
Step-by-step explanation:
Since they are parallel then
(7x - 8) + (11x - 28) = 180
18x - 36 = 180
18x = 216
x = 12
20 marbles in a bag. 4 are red, 5 are blue, 5 are black, 4 are white and 2 are yellow. What is the probability that he pulls out a red marble?
Answers
Answer:
1/5
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability that he pulls out a red marble = number of red marbles / total number of marbles
= 4/20 = 1/5
consider the polygon shown. determine the value of y.
Answers
Answer:
70 degrees
Step-by-step explanation:
It's a whole 540 degrees
So y = 70 degrees
two circles intersect each other in A and C. O the centre of the smaller circle, lies on circumference of the bigger circle D is a point on smaller circle and DC produce intersects the bigger circle in B. BO produce intersects AD inM. AO, OC andAB are drawn 1 IF IT IS FURTHER GIVEN THAT ACO.=D, PROVE THAT AD IS A TANGENT TO CIRCLE ABO
Answers
Answer:
ss
Step-by-step explanation:
s
А
3
-2
-1
0
2
3
B.
-1
The distance AB rounded to the
nearest tenth = [?]
Hint: d= (x2 - 1)+ (y2 - yı)2
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Here is The work shown below:
Write the equation of the line that contains the points (-2,5) and (6,9).
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Answer: y=2/4x+6
I think it´s right sorry if it is´nt
Lift tickets at the resort cost $28 per day for adults and $19
per day for children under 12. The Scotts skied for 5 days.
A How much did the Scotts pay for lift tickets each day?
B. How much did the Scotts pay for lift tickets altogether?
Answers
Answer:
No solution is possible
Step-by-step explanation:
You didn't indicate the number of adults and children.
Find all values of x that satisfy the equation below. (x + 1)² - 25/9
= 0
Answers
Answer:
x = 8/3, 2/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Multiple RootsStep-by-step explanation:
Step 1: Define
Identify
(x + 1)² - 25/9 = 0
Step 2: Solve for x
[Addition Property of Equality] Add 25/9 on both sides: (x + 1)² = 25/9[Equality Property] Square root both sides: x + 1 = ±5/3[Subtraction Property] Subtract 1 on both sides: x = ±5/3 - 1Evaluate Addition/Subtraction: x = 8/3, 2/3Step-by-step explanation:
Hey there!
Given equation is:
(x+1)² - 25/9 = 0
Then;
(x+1)² - (5/3)² = 0 ( since 5² = 25 and 3² = 9)
or, {(x+1)+5/3} { (x+1)-5/3} = 0. { use a² - b² = (a+b)(a-b) formula}
[tex]( \frac{3x + 3 + 5}{3} )( \frac{3x + 3 - 5}{3} ) = 0[/tex]
[tex]( \frac{3x + 8}{3} )( \frac{3x - 2}{3}) = 0[/tex]
Now;
Either;
( \frac{3x + 8}{3}= 0
or, X = 8/3
Or,
( \frac{3x -2}{3} = 0
x = 2/3
Therefore, X = 8/3 or 2/3.
Hope it helps!
A cone has a height of 30 centimeters and a radius of 20 centimeters. In terms of , what is the volume of the cone?
Answers
Answer:
[tex] V_{cone} = 4000\pi \: {cm}^{3} [/tex]
Step-by-step explanation:
Height of the cone (h) = 30 cm
Radius of the cone (r) = 20 cm
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \pi \: {(20)}^{2} (30) \\ \\ = \pi(400)(10) \\ \\ V_{cone} = 4000\pi \: {cm}^{3} [/tex]
Hihi , please help if able.
Answers
Step-by-step explanation:
the lines on the graph of inequality second option
Explanation:
a clear dot means the sign of the inequality is either < or >.
The number where the dot is placed is the number we are comparing to x (-25)
Because we have the inequality symbol “>” (greater than) the line that represents x should be pointing to the right of the number line.
All these descriptions matches number line B
Brainliest will be appreciated
-Spacemarsh, have a nice day! :DD
If the HCF and LCM of two numbers are 14 and 840 respectively . If one number is 42 Then find another one.
Answers
Answer:
HCF X LCM= product of two numbers
14 x 840 = 42 x other number
other number= 14x840/42=280
Pls answer this correct ;( don't answer it nonsenses. :) Thanks!
A. in 20 tries, Riza Beat Jennifer 5 times. What is the probability that Jennifer won?
B. In 50 tries, Mark won over Martin 26 times. What is the probability that Mark Won?
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Answer:
jennifer won 15 time and mark won 24
if the answer is wrong i am really sorry
Which of the following is the best estimate of 7/8? ( Answer ASAP )
Answers
Answer:
C
Step-by-step explanation:
just round up to nearest number and 7/8 is 0.87 so it coloser to 1 than half and the others are way to big.
Which expression is equivalent to this quotient?
[tex]\frac{1}{x+5} \\\frac{x+3}{5x+15}[/tex]
Answers
? What is the solution of a system defined by 5x + 2y = 30 and -5x + 4y = 0? 0 (0, 30) O (6, 15) O (4,5) 0 (6,0)
Answers
Answer:
(4,5)
Step-by-step explanation:
Hi there!
We are given the system of equations:
5x+2y=30
-5x+4y=0
and we need to find the solution
there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable
When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively
5x+2y=30
-5x+4y=0
add the equations together
6y=30
divide both sides by 6
y=5
we found the value of y
now we need to find the value of x
substitute 5 as y into either one of the equations (ex. the first one) to solve for x
5x+2(5)=30
multiply
5x+10=30
subtract 10 from both sides
5x=20
divide both sides by 5
x=4
so the answer is x=4, y=5; as a point, it's (4,5)
Hope this helps! :)
X 8. From the given Venn-diagram, list the elements of the following sets, a) U b) XU Y and XUY c) X Y and X d) X - Y and X-Y e) Y - X and Y - X 11 15
Answers
Answer:
where is the Venn diagram plz insert Venn diagram then I should solve
Daine simplified the expression below.
8(1 + 2i) – (7 – 3i) = 1 + 5i
What mistake did Daine make?
Answers
Answer:
Step-by-step explanation:
8(1 + 2i) - (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)
= 8 + 16i -7 + 3i
= 8 - 7 + 16i + 3i
= 1 + 19i
Daniel forgot to multiply 2i by 8
Answer:
A , He did not apply the distributive property correctly for 8(1 + 2i).
on edge
Step-by-step explanation:
Identify the range of the function shown in the graph.
Answers
Answer: Choice D) [tex]0 \le y \le 5[/tex]
This is because the smallest y can get is y = 0, while the largest it can get is y = 5. It can be anything in between these y values as well.
Visually, we look for the lowest and highest points. The range is the set of all possible y outputs. In contrast, the domain is the set of all allowed x inputs.
Answer:
in my opinion it's A.. hope it will help you.
if r=1 and 0=5pi/6 what is the approximate arc length?
Answers
Answer:
B. 2.618 units
Step-by-step explanation:
the arc length = (5π/6) / 2π × 2×3.14×1
= 5/12 × 6.28
= 31.4/ 12
= 2.618 units
The arc length is = 2.618 units
what is arc length of a circle?Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc. Arc length is a fraction of the circumference of the circle.
Given : r=1, [tex]\theta[/tex]= 5π/6
Now, arc length
= [tex]\theta[/tex]/ 2π * 2πr
= (5π/6) / 2π × 2×3.14×1
= 5/12 × 6.28
= 31.4/ 12
= 2.618 units
Learn more about arc length here:
https://brainly.com/question/1577784
#SPJ2
through: (-2, -1), slope = -1
Answers
y= -1x -3
that's equation of the line
Find the missing side!!
Answers
It is ratio to the is being enlarged on the ither sides
Answer:
the answer to the question is 12cm
What should be filled in the blank spot you’ll be marked as brainliest if you are correct
Answers
Answer:
-4 square inches
Step-by-step explanation:
its because the 5 pictures together make 21
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answers
Answer:
y=3 x=1
Step-by-step explanation:
Answer:
above one is correct. I think so
Select the correct measurement of the angle shown on the protractor. a protractor showing an angle with one side lined up with the base line and the other side going through the fifth tick mark after fifty five degrees 110° 120° 50° 60°
Answers
Answer:
110°
Step-by-step explanation:
Each tick line in a protractor shows 10°. So the next is 110° inclined.
Answer:
110 degrees hope this helps
Step-by-step explanation:
7. A quadrilateral has vertices W(-3,5), X(8,6),
Y(3,-6), and Z(-4,1). The preimage is mapped
onto quadrilateral W'X'Y'Z' through a dilation by
scale factor and then a reflection over the line
y = x. What are the coordinates of W'?
Answers
Answer:
W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point A(x, y) is dilated by a scale factor of k, the new point is A'(kx, ky). If a point A(x, y) is reflected over line y = x, the new point is A'(y, x).
Given the vertices W(-3,5), X(8,6), Y(3,-6), and Z(-4,1). If it is dilated by a scale factor of 2/3, the new point is at W*(-6, 10/3), X*(16/3, 4), Y*(2, -4) and Z*(-8/3, 2/3). If it is then reflected over the line y = x, the new point is W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3).