You want to construct an open-top box that is 6 inches deep, with a square base. It must have a volume of 864 cubic inches. You have one big piece of cardboard. You will start by cutting it down to a square, and then you will cut smaller squares out of each corner and fold up the sides.

You Want To Construct An Open-top Box That Is 6 Inches Deep, With A Square Base. It Must Have A Volume

Answers

Answer 1

The statements that are true are the volume of the box is v = lwh = 864 in³ and the volume can be expressed in an equation as v = 6x² = 864in³

Volume of a Square

The volume of a square box is equal to the cube of the length of the side of the square box. The formula for the volume is V = l³, where "l" is the length of the side of the square box.

In the given problem, the volume of the box is 864 cubic inches.

However, we have to remember that the box isn't a square, but rather the base has a square shape.

The volume of the figure is

v = l * w * h

l = lengthw = widthh = height

If we divide the volume by the height, we will have the area of the figure

Area = volume / height

Area = 864 / 6

Area = 144 square inches

Since the base has a square shape;

A = l²

144 = l²

l = √144

l = 12 in

The side length is 12 inches.

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Related Questions

need help
problem/question in image below ​

Answers

Answer:

Option A would be the correct answer

I don't have an explanation to type but you can trust me :)

Please mark as brainliest for further answers :)

please help!!No links

Answers

X=12 do you need an explanation?

Meljer is selling a 9.25 oz bag of Doritos for $3.50. What is the cost per ounce of Doritos? Round your answer to the nearest penny (hundredths of a dollar).

Answers

Answer:

0.38

Step-by-step explanation:

We will use ratios:

[tex]\frac{9.25}{3.5} =\frac{1}{x} \\\\9.25x=3.5\\x=0.38[/tex]

Question 4 (1 point)
The image shows quadrilateral ABCD.
Find the area of ABCD. Explain or show your reasoning.

Answers

Answer:

25

Step-by-step explanation:

Using the Pythagorean Theorem, we can find the side length of each side.

a^2 + b^2 = c^2

=> 3^2 + 4^2 = x^2

=> 9 + 16 = x^2

=> x = 5

By applying the same formula for each side, we will get that each side is 5 units.

So, the area = 5*5 = 25

The quadrilateral is a square and the area of square is 25 square units.

What is a quadrilateral?

A quadrilateral is 2-dimensional geometric closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points.

For the given situation,

The quadrilateral ABCD has points A(0,4), B(3,0), C(7,3), D(4,7).

The distance these points can be found by

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

AB = [tex]d=\sqrt{(3-0)^{2}+(0-4)^{2} }[/tex]

⇒ [tex]AB = \sqrt{3^{2}+4^{2} }[/tex]

⇒ [tex]AB=\sqrt{9+16}[/tex]

⇒ [tex]AB=\sqrt{25}[/tex]

⇒ [tex]AB=5[/tex]

BC = [tex]d=\sqrt{(7-3)^{2}+(3-0)^{2} }[/tex]

⇒ [tex]BC=\sqrt{4^{2}+3^{2} }[/tex]

⇒ [tex]BC=5[/tex]

CD = [tex]d=\sqrt{(4-7)^{2}+(7-3)^{2} }[/tex]

⇒ [tex]CD=\sqrt{(-3)^{2} +4^{2} }[/tex]

⇒ [tex]CD=5[/tex]

DA = [tex]d=\sqrt{(4-0)^{2}+(7-4)^{2} }[/tex]

⇒ [tex]DA=\sqrt{4^{2}+3^{2} }[/tex]

⇒ [tex]DA=5[/tex]

Since AB = BC = CD = DA, the quadrilateral is a square.

The formula of area of quadrilateral is

[tex]A=(side)^{2}[/tex]

⇒ [tex]A=5^{2}[/tex]

⇒ [tex]A=25[/tex]

Hence  we can conclude that the quadrilateral is a square and the area of square is 25 square units.

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Find the slope of the line.
Will give brainiest if correct.

Answers

Answer:

1,2

Step-by-step explanation:

Answer:

The slope of the line is (2)

Step-by-step explanation:

Good luck ^_^

8.8C
What value of x makes this equation true?
12x - 15 = 6 - 3x

Answers

I would say x = 7/5 or x = 1.4 in decimal form

I hope this is helpful :)

what is the circumference of circle P shown below ​

Answers

Answer:

8π units

Step-by-step explanation:

The circumference of a circle is calculated by using the following formula

2 × r × π (r: radius)

2 × 4 × π  = 8π

Which of the following functions translates the graph of the parent
function f(t) = x² horizontally left 6 units?

Answers

Answer:

shawty us bad with the scratchers in

Jon is buying gas for his car. The cost of gas varies directly with the number of gallons of gas. If
he pays $8.75 for 5 gallons of gas, how much would it cost for 32 gallons?

Answers

Answer:

56 gallons of gas

Step-by-step explanation:

Jon paid $8.75 for 5 gallons.

So how much does 1 gallon cost?

=> 5 gallons = $8.75

=> 5/5 gallons = $8.75/5

=> 1 gallon = $1.75

So how much does 32 gallons cost?

=> 32 gallons = 32 * 1.75 = $56


A quality control expert at a drink bottling factory took a random sample of 9 bottles from a
production run of over 1,000 bottles and measured the amount of liquid in each bottle in the
sample. The sample data were roughly symmetric with a mean of 505 mL and a standard
deviation of 6 mL.
Based on this sample, which of the following is a 95% confidence interval for the mean
amount of liquid per bottle (in mL) in this production run?

Answers

Answer: It's in the screenshot

Step-by-step explanation:

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.

The other parameters are given as follows:

[tex]\overline{x} = 505, s = 6, n = 9[/tex]

Hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 505 - 2.306\frac{6}{\sqrt{9}} = 500.39[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 505 + 2.306\frac{6}{\sqrt{9}} = 509.61[/tex]

The 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).

More can be learned about the t-distribution at https://brainly.com/question/16162795

prove this qsn plzz and fast​

Answers

Step-by-step explanation:

Let use the first of the medians. Medians AX.

Median AX is the midpoint of BC so our median is

[tex] \frac{1}{2} (b + c) - a[/tex]

Let use the second median.

Median BY is the midpoint of AC so our median is

[tex] \frac{1}{2} (a + c) - b[/tex]

Let use the final median.

Median CZ is the midpoint of AB so our median is

[tex] \frac{1}{2} (a + b) - c[/tex]

Now add all them up

[tex] \frac{1}{2} (b + c ) - a + \frac{1}{2} (a + c) - b + \frac{1}{2} (a + b) - c[/tex]

[tex] \frac{1}{2} b + \frac{1}{2} c - a + \frac{1}{2} a + \frac{1}{2} c - b + \frac{1}{2}a + \frac{1}{2} b - c[/tex]

Add like terms.

[tex] \frac{1}{2} b + \frac{1}{2} b - b = 0[/tex]

[tex] \frac{1}{2} a + \frac{1}{2} a - a = 0[/tex]

[tex] \frac{1}{2} c + \frac{1}{2} c - c = 0[/tex]

[tex]0 + 0 + 0 = 0[/tex]

So

AX+BY+CZ=0

Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3. (2 points)


10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3

fraction 1 over 4 of 10 times the sum of 5 and 3, minus 3

3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10

10 times fraction 1 over 4 plus 3 and 5, minus 3

Answers

Answer:

10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3

plz mark as brainliest

hope it helps

Answer:10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 2

Step-by-step explanation:

I can choose and create diagrams to help me compare two situations.



SOMEONE PLEASE HELP MY TEACHER WANTS TO PUT ME IN SUMMER SCHOOL SO I NEED TO GET MY HW DONE ASAP SO PLEASE REPLY WITH AN ANSWER PLSS!!!

Answers

Answer:

blurred poate

Step-by-step explanation:

blurred po ate

what is the discriminant of the polynomial below 2x^2+5x-8
A. 89
B. -39
C. 31
D. -59

Answers

Answer:

Hi! The answer to your question is A. 89

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

what's the answer to this problem?
[tex]5x + 35 = 45[/tex]

Answers

Answer:

5x+35=45

5x=45-35

5x=10

x=2

Please helppp


The function ƒ(x) = 2x − 1 indicates:
a downward shift of 1 unit.
a shift of 1 unit to the left.
an upward shift of 1 unit.
None of these choices are correct.

Answers

Answer:

It is a downward shift of one unit

The sum of -9 and 18/2

Answers

Answer:

0

Step-by-step explanation:

Sum means addition so:

-9 + 18/2

(18/2 = 9)

-9 + 9

0

Answer: 0

Step-by-step explanation: The answer I got was 0. I'm assuming that 18/2 is 18 divided by 2. 18 divided by 2 is 9 and if you add a positive and a negative its like subtracting. 9-9=0 so the answer is 0.

Hi! Please help on this question (you have to use the Pythagorean theorem method) and explain the steps *giving brainliest*

Answers

Answer:

The diagonal length is 50.

Step-by-step explanation:

Square the lengths of the legs:  (30 yd)^2 + (40 yd)^2 and add these squares together.  Taking the square root of this sum produces the length of the diagonal:  d = √(900 + 1600) = √2500 = 50.  

The diagonal length is 50.

20) If the area of a rectangular playground is
p^2 -6p - 7 square feet, what is the perimeter of the
playground?

Answers

Answer:

Explanation:

Write an equation to solve the problem.

Area of rectangle = L(w)

Assuming that the width measures x meters, the length measures x + 5 meters.

500 = x(x + 5)

500 =

x

2

+ 5x

0 =

x

2

+ 5x - 500

As you may already know, a trinomial of the form

a

x

2

+ bx + c, a = 1, you must find 2 numbers that multiply to c and that add to b. Two numbers that multiply to -500 and add to +5 are +25 and -20

0 = (x + 25)(x - 20)

x = -25 and 20

Since a negative length is impossible, the width mesures 20 meters and the length measures 25 meters.

Practice exercises:

A rectangle has a perimeter of 90 meters. Find the maximum area.

The area of a right triangle is 120

m

2

. The base measures half the sum of the height and one. Find the perimeter.

Find the area and perimeter of a right triangle the has a height that is 2 more than the double of the width and that has a hypotenuse that measures

68

meters.

Good luck!

Step-by-step explanation:

find the x-intercepts of y= x^2+4x+8 using the quadratic formula.

Answers

Answer: To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

2

+

2

3

,

0

)

,

(

2

2

3

,

0

)

y-intercept(s):

(

0

,

8

)

Step-by-step explanation: To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

2

+

2

3

,

0

)

,

(

2

2

3

,

0

)

y-intercept(s):

(

0

,

8

)

The dollar store buys a hat for $0.80. Then they mark up the price by 20%.
How much will they sell the hat for?

Answers

Answer:

$0.96

Step-by-step explanation:

20% of 0.80 is 0.16

0.80 + 0.16 = 0.96

Answer:

$0.96

Step-by-step explanation:

Multiply 0.80 times 0.2

0.80 x 0.2=0.16

Then add up 0.16 and 0.80 to get your answer

0.80 + 0.16=0.96

Hope it helps

Find the total length of rope that is brought on the trip.
A. 25 3 4 yards
B. 29 3 4 yards
C. 33 3 4 yards
D. 37 3 4 yards

Answers

i have the quiz before and the answer is D: 37 3/4 yards

:)

Find the missing length. The triangles in each pair are similar.

Answers

Answer:

........................................

What are the zeros of f(x) = x2 + 3x - 10?
A. X= -5 and x = 2
B. x= -5 and x = -2
C. X= 5 and x = -2
D. x = 5 and x = 2

Answers

Answer:

(x+5) (x-2)

SO  -5 and 2 option A

Step-by-step explanation:

factor it. and set equal to zero.

A pretzel maker was interested in knowing the number of pretzels in each bag is sold. The results of the research are shown in the box and whisker plot. What is the range in the number of pretzels? Please help

Answers

Answer:

23 pretzels

Step-by-step explanation:

The range value is obtained by taken the difference between the maximum and minimum values ;

The range = maximum - minimum

From the box and whisker plot attached ; the maximum value = 68

Minimum value = 45

Hence, the range in the number of pretzels :

68 - 45 = 23

Answer:

22

Step-by-step explanation:

Subtract the minimum (44) and the maximum (66) the answer to this question is 22

Which expression is equivalent to (3x2+3x−3)−(6x2−4x−2)?

A
−3x2+7x−1

B
−3x2−x−5

C
−3x2+7x−5

D
−3x2−x−1

Answers

Answer:

A. -3x^2+7x-1

Step-by-step explanation:

(3x^2+3x-3)-(6x^2-4x-2)

3x^2+3x-3-6x^2+4x+2

-3x^2+7x-1

Find the value of a. Round your answer to the nearest tenth.

Answers

Answer:

Polly do you know the formula for law of Cosines?  

find it if  you don't

Step-by-step explanation:

a = sqrt( b^2 +c^2 - 2bcCos(A) )

a = sqrt( 100 + 62.41 -34.197)

a = sqrt(128.213)

a = 11.323

a = 11.3  ( to the nearest tenth )

this is old work i forget how to do it

Answers

Answer:

1.101, 1.001, and 0.113

Step-by-step explanation:

the first on is the highest

plz leave a like and brainlest!! i need 10 to ask a quistion!!!

Answer:

               Tenths place is a zero

               ↓

0.113       1.001        1.101

One's place is a zero

PLEASE ANSWER NUMBER 4 NO BS PLEASE HELP ME I WILL GIVE BRAINLIEST ANSWER

Answers

Answer:

A'(1,-2)

L'(-3,-5)

T'(3,-1)

Reflection:

A'(-1,-2)

L'(3,-5)

T'(-3,-1)

Step-by-step explanation:

How may candies did Thad get all together? Pls help quickly

Answers

Answer:

all together there is 141 candies in all

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