An open box with a volume of 128 cm3 can be made
by cutting a square of the same size from each corner
of a square piece of metal 12 cm on a side and folding
up the edges. What is the length of a side of the square
that is cut from each corner?

Answers

Answer 1

Answer:

sorry hindi amo marunong ng math

Answer 2

The length of the side of the square that is cut from each corner will be 2 cm or 8 cm.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the cuboid = length × height × width.

The volume of the cube = side³.

Suppose the length of the metal square piece is L = 12 cm and the width of the cut is h as shown below,

Volume of the box = (L - 2h)² × h

(12 - 2h)² × h = 128

4h(6 - h)² = 128

h(36 + h² - 12h) = 32

h³ - 12h² + 36h - 32 = 0

(h - 2)(h² - 10h + 16) = 0

(h - 2)(h² - 8h - 2h + 16) = 0

(h - 2)(h(h - 8) - 2(h - 8)) = 0

(h - 2)(h - 2)(h - 8) = 0

h = 2,8

Hence "The length of the side of the square that is cut from each corner will be 2 cm or 8 cm".

To learn more about volume,

https://brainly.com/question/1578538

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An Open Box With A Volume Of 128 Cm3 Can Be Made By Cutting A Square Of The Same Size From Each Corner

Related Questions

Which system of inequalities has no solution ? I’m not sure

Answers

I think the answer might be c

Son características de interés que pueden medirse u observarse en los elementos de la población
a) Muestra
b) Frecuencia
c) Variable
d) Población

Answers

C) Variable

Dondé esta la leche

May ALG 1A Unit 5 Modified Discussion

Answers

A pattern that increases or decreases at a constant rate is a linear function

Question 1 represents a linear functionQuestion 2 and 3 represent a nonlinear function

Question 1

From the table, we see that:

As x increases by 25, The value of y decreases by 1

The rate of increment/decrement is constant for both variables.

Hence, question 1 represents a linear function

Question 2

From the table, we see that:

As x increases by 2, The value of y increases at different rates

The rate of increment is not constant for variable y.

Hence, question 2 represents a nonlinear function

Question 2

From the table, we see that:

As the steps (i.e. x) increases by 1, The number of blocks (i.e. the value of y) increases at different rates

The rate of increment is not constant for variable y.

The complete table is:

[tex]\mathbf{Step\to Blocks}[/tex]

[tex]\mathbf{1 \to 2}[/tex]

[tex]\mathbf{2 \to 6}[/tex]

[tex]\mathbf{3 \to 12}[/tex]

[tex]\mathbf{4 \to 20}[/tex]

Hence, question 3 represents a nonlinear function

Read more about patterns and rates at:

https://brainly.com/question/22386004

BRAINLIEST FOR CORRECT ANSWER NEEDS HELP ASAP
At Chrissy's Clothes Warehouse, it takes fraction 2 over 5 of a day to complete fraction 1 over 10 of an order of t-shirts. At this rate, how long will it take to complete the entire order of t-shirts?
4 days
Mixed number 10 and 2 over 5 days
Mixed numbers 12 and 1 over
2 days
25 days

Answers

Answer: 4 days

Step-by-step explanation:

Help now please now 50 points and brainliest

Answers

Answer:

F=(9C+160)/5

Step-by-step explanation:

C=5(F-32)/9

Simplify to 5F-160/9=c

multiply by 9 on both sides : 5F-160=9C

add 160 to both sides: 5F=9C+160

Divide by 5 on both sides: F=(9C+160)/5

Simplify: F=9/5c+32

Answer:

[tex]F=\frac{9C}{5}+32[/tex]

Step-by-step explanation:

The subject of the formula is the variable that's being worked out. Originally this was C. They want us to make F the subject of the formula.

[tex]c=\frac{5(F-32)}{9}[/tex]

To do this we first need to distribute 5.

[tex]C=\frac{5F-160}{9}[/tex]

Divide 5F-160 by 9.

[tex]C=\frac{5}{9}f-\frac{160}{9}[/tex]

We can then swap sides to make it easier.

[tex]\frac{5}{9}f-\frac{160}{9}=C[/tex]

We then add [tex]\frac{160}{9}[/tex] to each side.

[tex]\frac{5}{9}f=c+\frac{160}{9}[/tex]

We can then find F by multiplying by 9/5 or dividing by 5/9.

[tex]F=\frac{9}{5}(C+160/9)[/tex]

We then can simplify by multiplying.

[tex]F=\frac{9C}{5}+32[/tex]

:D

The width of a rectangle is 3 inches less than its length. The perimeter is equal to 94 inches, what is the length in inches?

Answers

Answer:

l=44in

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving forl

l=P

2﹣w=94

2﹣3=44in

fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

Answer:

Missing reasons are:

2. Reflexive3. Given4. Given5. Definition of bisects6. Third angle theorem7. ASA

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

I am stuck on a geometry lesson. It is on the Angle Sum Theorem. It said we have an obtuse trisngle with angles 1, 2, and 3. Then they extend the line out as a dashed line top and bottom parallel to each other. It then he says we have angle 1 value would also be true on the opposite side of the triangle like as a transeversal intersected 2 parallel lines making those angles alternate interior angles. He does the sme with 2. then says 1 plus 2 plus 3 equal 180 and says it twice. What does that mean?​

Answers

The angle sum theorem states that the sum of all the interior angles of a triangle is 180 degrees. In a Euclidean space, the sum of the measure of the interior angles of a triangle sum up to 180 degrees, be it an acute, obtuse, or a right triangle which is the direct result of the angle sum theorem of the triangle

You are running a fuel economy study. One of the cars you find is red. It can travel 24 4/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for the red car?

Answers

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

Blue car:

Travels 35 1/2 miles on 1 1/4 gallons of gasoline

Red car:

Travels 27 1/5 miles on 4/5 gallons of gasoline

We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:

Blue car:

(35 1/2) / (1 1/4) = 28.4 miles per gallon

Red car:

(27 1/5) / (4/5) = 34 miles per gallon

The red car travels greater distance with 1 gallon of gasoline {and thats about it!}

Elena and Jada are 12 miles apart on a path when they start moving towards each other. Elena answered a constant speed of 5 miles per hour, and Jada walks at a constant speed of 3 miles per hour how long does it take Jada to walk 12 miles

Answers

Answer:

i think it is 234 i am not sure

Step-by-step explanation:

A cafeteria sells 6 times as many bottles of juice. if the cafeteria sells 750 bottles of water. how many bottles of juice did the cafeteria sell? ANSWER

Answers

Answer:

4,500 bottles of juice.

Step-by-step explanation:

Clue word: Times means multiplyIf you multiply 750 x 6 you will get 4,500.

Of the following sets which are equivalent to the set S = {an even number less than 10 } is

A = {Prime number less than 10 }
B = {Odd factor less than 15}
C= {Odd numbers less than 7}
D ={An even number between 10 and 15}
E ={An odd number between 10 and 16}​

Answers

Answer:

A,  2

Step-by-step explanation:

We can immediately rule out B and C; they are odd numbers while S is an even number.

We can also rule out D and E. This is because D and E are greater than or equal to 10, while S is less than 10.

A number that can fulfill the requirements for both A and S is 2

Help!
Algebraic Relationship
y= x/4-1

Answers

32, 7

0, - 1

20, 4

You just plug in the numbers and solve

rsm geo lol- no idea how to start or do it at all

Answers

Answer:

42, 138, and 138 degrees DON'T FORGET THE DEGREES SIGNS!!!!!

Step-by-step explanation:

Using vertical angles theorem, we can get another 42, 180-42, and 180-42.

So we have 42, 138, and 138

Write the slope-intercept form of the line with the given slope and point. m=4; (2,3)

Answers

Answer:

y=4x-5

Step-by-step explanation:

the slope-intercept form of the line would be y = 4x - 5

hope this helps!! ❤️

What is an equation of the line that passes through the point (−8,−1) and is parallel to the line x-4y=4x

Answers

Answer:

y = -3/4x - 7

Step-by-step explanation:

Parallel lines have the same slope.

Solve for y in the equation to find the slope.

x - 4y = 4x

  -4y = -x + 4x

  -4y = 3x

     y = 3/-4 x   = -3/4x    So the slope is -3/4  which is the coefficient of the

                                       x term

Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"

y = mx + b

-1 = -3/4(-8) + b

-1 = 6 + b

-1 - 6 = b

-7 = b

The equation of the new line:  y = mx + b

                                                  y = -3/4x - 7

PLEASE HELP I NEED IT FAST AND I WILL GIVE A BRAINLESS AND A THANKS AND ANYTHING ELSE

Answers

Answer: [tex]3\frac{1}{3}[/tex]

Step-by-step explanation:

- t / u + vw   (plug the number in)

= - 2 / (-2/3) + (-1)(-1/3)

= 2/ (2/3) + 1/3

= 2(3/2) + 1/3  (the 2 were being cancel)

= 3 + 1/3

= [tex]3\frac{1}{3}[/tex]

Answer:

A. 3 1/3

Step-by-step explanation:

Given:

t = 2, u = -2/3, v = - 1, w = - 1/3

Find:

- t/u + vw = - 2 / (-2/3) + (-1)(-1/3) = 3 + 1/3 = 3 1/3

Correct choice is A

Write an equation in slope intercept form for the line that has a slope of 1/4 and passes through the point (0, -2)

Answers

Step-by-step explanation:

the general slope intercept formula is

y = ax + b

a is the slope of the line.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-2 = (1/4)×0 + b

b = -2 (as expected)

the full line equation is

y = (1/4)x - 2

Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.

someone help please

Answers

Answer:

6 is the Value of the Expression.

Step-by-step explanation:

4 a⁴ - 2 b² + 40 :

4 * ( 2⁴) - 2 * ( 7²) + 40 =

4 * 16 - 2 * 49 + 40 =

64 - 98 + 40 =

-34 + 40 =

+ 6

Hopefully this helps.

837+208+363=find the sum by suitable rearrangement ​

Answers

Answer:

1,408

Step-by-step explanation:

208 + 363 + 837=1408

Help me plsssssssssssssssssss

Answers

I would but I’m like really bad at math so

Answer:

2 meters = 2000 millimeters

Liquid nitrogen is -196°C. What is the difference in temperature between the liquid
nitrogen and the frozen meal temperature (-18°C)?

Answers

Answer:

the state the item is in such as liquid nitrogen is frozen air and frozen meals are ice solid.

Step-by-step explanation:

Aspherical model of planet Earth has a radius of 3 ft. What is the approximate volume of the model of planet earth? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.​

Answers

Answer:

113.1

Step-by-step explanation:

Like and give 5 star rating

Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.

Answers

Answer:

$102

Step-by-step explanation:

if Tommy spent 7 dollars on pie, that means he had more money than that amount before.

So before he spent 7 dollars, he had those 7 dollars.

Add 7 with 95

95 + 7 = 102

4. A man who is 40 years old wants to begin exercising daily. Calculate his target heart
rate range

Answers

200- your age = your target heart rate.

Hence, for a 40 year old man, it’s 200-40= 160.

Hope this helps!

Carlo think he will go to the gym about 20 times a month.Calculate how much each of these options would cost carlo for one month. pay as you go



pay as you go. $______________



regular deal. $_______________



All-in-one price. $______________​

Answers

20 divided by 4 is 5 so

4$ will be for pay as you go.

5$ will be for regular deal

4+5=9 so the all in one deal is 9$

Tickets for a concert cost $8 online plus a $3
processing fee. Tickets for the same show at the
door cost $9 each. How many tickets can you buy so
that the online price and the door price are the
same?

Answers

Answer:

3 tickets

Step-by-step explanation:

8x+3 = 9x

x = 3

Question in on picture attached

Answers

Answer: 12

Step-by-step explanation:

180 = 76 + (3x+3) + (6x-7) = 12

Which points are located on the y-axis? Check all that apply. (0, 3) (4, 0) (9, 0) (0, 11) (14, 0)

Answers

Answer:

(0,3) and (0,11)

Step-by-step explanation:

A tip for next time is that if the "0" is first, then it is the y-axis. And if the "0" is second, it is the x-axis.

A former Olympic platform diver had a kinetic energy of 12,300 J prior to hitting the surface. If the divers speed is 17 m/s, what is their mass?

Answers

Answer:

Step-by-step explanation:

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