Determine the minimum amount of packaging needed to completely cover a
triangular prism Oblerone bar with these dimensions: length 22.5 cm; triangular face

Answers

Answer 1

A right triangular prism has 3 rectangular faces.

If each of the edges of the triangular base measures 4.5cm,

and the length (the height) of the prism is 22.5cm,

the 3 rectangular faces (sides of the box) are rectangles,

22.5cm long and 4.5cm wide.

Each face has a surface area of (22.5cm)(4.5cm)=101.25 square centimeters.

The total lateral surface area for the 3 rectangular sides of the box is

3(101.2 square centimeters)=303.75 square centimeters.

If the triangular faces of the box are triangles

with a base measuring 4.5cm and a height measuring 4.0cm,

the surface area of each triangular face is

(1/2)(4.5cm)(4.0cm)=9 square centimeters.

The surface area of the two triangular faces adds up to

2(9 square centimeters)=18 square centimeters.

The total surface area for the box is

303.75 square centimeters + 18 18 square centimeters= 321.75 18 square centimeters,

and that rounds up to highlight 322 square centimeters.

NOTE:

The answer above is the one your teacher wants,

but there is a problem with this problem.

An equilateral triangle with sides measuring 4.5cm

would have a height of approximately 3.9cm.

The Pythagorean theorem says so.

However, the 4.0cm value makes the calculations easier.

Answer 2

Answer:

A right triangular prism has 3 rectangular faces.

If each of the edges of the triangular base measures 4.5cm,

and the length (the height) of the prism is 22.5cm,

the 3 rectangular faces (sides of the box) are rectangles,

22.5cm long and 4.5cm wide.

Each face has a surface area of (22.5cm)(4.5cm)=101.25 square centimeters.

The total lateral surface area for the 3 rectangular sides of the box is

3(101.2 square centimeters)=303.75 square centimeters.

If the triangular faces of the box are triangles

with a base measuring 4.5cm and a height measuring 4.0cm,

the surface area of each triangular face is

(1/2)(4.5cm)(4.0cm)=9 square centimeters.

The surface area of the two triangular faces adds up to

2(9 square centimeters)=18 square centimeters.

The total surface area for the box is

303.75 square centimeters + 18 18 square centimeters= 321.75 18 square centimeters,

and that rounds up to highlight 322 square centimeters.

Step-by-step explanation:


Related Questions

Classify the triangle by its sides and then by its angle

Answers

Answer:

equilateral right triangle

Step-by-step explanation:

7^2+7^2=c^2

49+49=c^2

c^2=98

c=10

Therefore, equilateral right triangle

Question down below thx!

Answers

Answer:

6 pi

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

The diameter is 2 so the radius is 1/2 d = 1

V = pi (1)^2 * 6

V = 6 pi

Need help - check image

Answers

Answer:

All real numbers

Step-by-step explanation:

The range is the possible output values

This is a line and the output goes from negative infinity to positive infinity

The range is all real numbers

Answer:

A

Step-by-step explanation:

Since it's a straight line, it extends from negative infinity to positive infinity

help me cos I give brainliest so good look image below

Answers

Answer:

fx

2.542809140.5

sum of (fx)= 214

mean = £fx/ N

N=100

mean= 214÷100

mean = 2.14

What scale factor will dilate triangle ABC so that it has the same vertices as triangle DEF?

Answers

Answer:

0.5

Step-by-step explanation:

Answer:

answer is 0.5 just got it right

Step-by-step explanation:

Find area of the triangle

Answers

Answer:

A =13.5 yd^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 (4.5) ( 6)

A =13.5 yd^2

Answer:

22.5

Step-by-step explanation:

7.5ydx6yd

=45yd

45yd/2

=22.5yd^2

The 3 rd term of an AP is 3 and 11th term is -21, find its first term and common difference.

Answers

Answer:

Step-by-step explanation:

a₃=a-(3-1)d

=a-2d=3⇒equation 1

a₁₁=

=a-10d=11⇒eq 2

by elimination method

eq2-eq1

-8d=8d=-1

substituding in eq1 a=1

hope this helps

plzz mark me brainliest

Please I really need the answer for this

Answers

The answer is A it is correct.

Answer: THE OBJECT MUST MOVE IN THE SAME DIRECTION AS THE FORCE. WORK IS DONE ON AN OBJECT IF TWO THINGS OCCUR 1. THE OBJECT MOVES AS A FORCE IS APPLIED 2. THE DIRECTION OF THE OBJECT'S MOTION IS THE SAME AS THE DIRECTION OF THE FORCE APPLIED.

Step-by-step explanation:

What is the volume of this rectangular prism?

Answers

Answer:

12/5 cm^3

Step-by-step explanation:

When you try and figure out volume, you want to multiply all of the sides a shape in order to get it.

The formula for volume is L x W x H

Now let's substitute all of the units with it's corresponding numbers:

L=3

W=4/3

H=3/5

Then just multiply:

3*4/3 = 4

4*3/5=12/5

Then you get the answer 12/5 cm^3

Answer:

[tex]2 \frac{2}{5} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]volume = whl \\ = 3 \times \frac{4}{3} \times \frac{3}{5} \\ = \frac{36}{15} {cm}^{3} \\ = 2 \frac{6}{15} {cm}^{3} \\ = 2 \frac{2}{5} {cm}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!!

Write a number in the blank to make the statement true.
Flora the giraffe weighs 2670 pounds.
Last year Flora weighed 2340 pounds.
Flora has gained
ao
pounds since last year.

Answers

Answer: 330 pounds

Step-by-step explanation:


[tex] - 9 \times 4 = [/tex]

Answers

Hey!!!

Here's your answer

-9*4=-36

So the right answer -36.

Hope it will help you

Good luck on your assignment

Answer:

-36

Step-by-step explanation:

-9*4 = -(9*4) = -36

A snack bar sells two types of gronala bars. An apricot bar costs $0.80, and a cranberry bar costs $1.25. write an algebraic expression that represents the income the snack bar makes from selling gronala bars.​

Answers

Answer:

Total Cost (T)=  .80a+1.25c

T= a+c

Step-by-step explanation:

This equation has 2 variables. It also has 2 equations

3,024 divided by 336

Answers

Answer:

your answer would be 9. hope this helps!

Answer:

-Dividing 3,024 by 336 would give you 9:

[tex]3,024 \div 336 = 9[/tex]

El volumen de un cubo ed de 125 cm3. ¿cuantas veces aumentara el volumen de ese cubo si se duplica la medida de su arista?

Answers

Answer:

The volume would increase 8 times

Step-by-step explanation:

The volume of a cube is given by the following formula:

Volume = side^3

With a volume of 125 cm3, we have:

125 = side^3

Now, if we double the length of the side, we have that:

New volume = (2*side)^3

New volume = 8*side^3

New volume = 8 * 125 = 1000

So the ratio of the new volume over the old volume is:

New volume / Volume = 1000 / 125 = 8

So the volume increased 8 times.

Zain bought ice cream and sherbet at the grocery store and is placing the containers in the freezer. The container of ice cream was sold in a 10" × 14" × 12" container, and the sherbet was sold in an 11" × 18" × 9" container. How much less space does the container of ice cream occupy than the container of sherbet? *

Answers

Answer:

102 in^3.

Step-by-step explanation:

Volume of the  ice cream container = 10*14*12 = 1680 in^3.

Volume of the  sherbet container = 11*18^9 = 1782 in^3.

So the answer is 1782 - 1680

= 102 in^3.

Solve the equation: 1/3 x - 4 = 28

Answers

Answer:

x = 96

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

(1/3)x - 4 (+4) = 28 (+4)

(1/3)x = 28 + 4

(1/3)x = 32

Next, multiply 3 to both sides:

(3)(1/3)x = (32)(3)

x = 32 * 3

x = 96

x = 96 is your answer.

~

Answer:

96=x

Step-by-step explanation:

Add 4 to each side

1/3x= 32

multiply 3 on each side to cancel out the fraction

x=96

Find the exact value of cot (theta) for an angle (theta) with sin (theta)= -1/6 and with its terminal side in Quadrant III.

Answers

Answer:

 cotθ = √35 = 5.91

Step-by-step explanation:

Explanation:-

Given sin(θ) = -1/6

         [tex]cosec(theta) = \frac{1}{sin(theta)} = \frac{1}{\frac{-1}{6} } = -6[/tex]

We will use trigonometric formula

   co sec ²θ -cot²θ  =1

    cot ² θ =  co sec ²θ - 1  

    cot ² θ =   (-6)² -1 = 36 -1 =35

   cotθ = √35 = 5.91

   Given' θ' is  Quadrant III.

In third quadrant cotθ and tanθ are positive

   cotθ = √35 = 5.91

 

Which is a right triangle formed using a diagonal through the interior of the cube?

A .triangle BDH

B .triangle DCB

C .triangle GDC

D .triangle GHE

Answers

The answer is c




I got it right on edg 2020

Answer:

GDC

Step-by-step explanation:


I have two bags of counters.
The first bag contains two red counters and one blue counter.
The second bag contains one red counter, one blue counter
and two yellow counters.
I take a counter at random from both bags.
a) What is the probability that the two counters will be the same colour?
b) What is the probability that exactly one of the counters will be red?​

Answers

Answer:

oooooh Mathswatch.a=3/12  b=7/12

Step-by-step explanation:

a=You need to list all the probability out

There is a total of 24 possibility and 6 of them are the same colour. Simplify it, it becomes 3/12

b= see the photo. (sorry the photo wasn't too good, I am on a computer)

There are a total of 14 combination that has one red counter in it, simplify it, it is 7/12

A) The probability that the two counters will be the same colour is; ¼

B) Probability that exactly one of the counters will be red is; P(exactly one counter is red) = 7/12

We are told that he has 2 bags of counters;

First bag;

- 2 red counters

- 1 blue counter

Second bag;

- One red counter

- One blue counter

- two yellow counters

A) He takes a counter from both bags, probability that they will be same colour is;

RR or BB

Now, P(RR) = ⅔ × ¼ = 2/12

P(BB) = ⅓ × ¼ = 1/12

Thus;

P(both same colour) = 2/12 + 1/12

P(both same colour) = ¼

B) Probability that exactly one of the counters will be red;

The possible combinations in this way that have a red is 14.

Meanwhile total possible combinations is 24.

Thus;

P(exactly one counter is red) = 14/24

P(exactly one counter is red) = 7/12

Read more at; https://brainly.com/question/16601588

Which statement is true?
pls help me ! * ill give you BRAINLIST , have to get it right *

Answers

Answer:

The y intercept of Function A is greater than the y intercept of Function B.

Step-by-step explanation:

-3 is greater than -4.

A recipe calls for 3/4 of an onion. It makes enough for 4 people. Have much onion does each person get?

Answers

Answer:

3/16 of an onion

Step-by-step explanation:

3/4 onion divided by 4

3/4÷4

Copy dot lip

3/4 * 1/4

3 /16 of an onion

Answer:

[tex] \frac{3}{16} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} \div \frac{4}{1} \\ \frac{3}{4} \times \frac{3}{4} \\ = \frac{3}{16} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is the value of x?
6
7
8
9

Answers

Answer:

7

Step-by-step explanation:

just took the test on edg2020

The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.

In the given figure, AD=5x+3 and BC=38.

What is parallelogram?

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

In the parallelogram ABCD, AD=BC

So, 5x+3=38

⇒ 5x=35

⇒ x=7

The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.

Learn more about the parallelogram here:

https://brainly.com/question/19187448.

#SPJ6

A baker can bake 20 cakes per hour. How long will it take him to bake 400 cakes

Answers

Answer:

20 hours

Step-by-step explanation:

20x20

Answer: 20 hours

Step-by-step explanation:

Hour=60 min

20 cakes=60 min

400 ÷ 20 = 20 hours

Find the amount of money in an account after 4 years if $1800 is deposited at 5% annual interest compounded quarterly.

Answers

Answer:

$2195.80

Step-by-step explanation:

For a initial principal, P compounded with period k over n years at an annual interest rate, r, the amount (A(n)) at the end of n years is determined using the function:

[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]

In the given case:

P=$1800

n=4 years

r=5%=0.05

Since it is compounded quarterly, Period, k=4

Therefore, the amount of money in the account after 4 years is:

[tex]A(n)=1800(1+\frac{0.05}{4})^{4*4}\\=1800(1+0.0125)^{16}\\=1800(1.0125)^{16}\\=\$2195.80[/tex]

After 4 years, there will be $2195.80 in the account.

Tell whether the number is written in scientific notation

7.814×10^−36

Answers

Answer:

it is written in scientific notation

A theater can hold 120 giants or 144 elves. If 90 giants are already inside, how many elves can also be admitted?

Answers

Answer:

36

Step-by-step explanation:

make proportion giants to elves

120/144 = 90/x cross multiply

120x =144*90

120x =12960 divide by 120

x = 108

so if there are 90 giants in the theater there are  108 elves also

considering that total 144 elves can be  in the theater subtract 144 and 108 so 36 more elves can be admitted

Answer:

36 elves

Step-by-step explanation:

Using proportions

We have space for 30 more giants

30 giants     x elves

------------- = ----------

120  full      144 elves  full

Using cross products

30*144 = x*120

Divide each side by 120

30*144/120 = 120x/120

36 = x

We can have 36 elves

can you please explain ME how to solve identity of algebra homework ​

Answers

Step-by-step explanation:

"identity" means an operation that does nothing.

For adding numbers, adding 0 changes nothing, so 0 is the identity for addition.

For multiplication, multiplying by 1 changes nothing, so 1 is the identity for multiplication.

James, Priya, and Siobhan work in a grocery Store. James makes $9.00 per hour. Priya makes 40% more than James, and Siobhan makes 15% less that Priya. How much does Siobhan make per hour?

Answers

Answer:

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Step-by-step explanation:

See below;

Priya's 40% profit in the grocery store ⇒ 40/100 * 9 = 2/5 * 9 = 18/5 ⇒ $ 3.6,

Priya's profit at the grocery store ⇒ 9 + 3.6 ⇒ $ 12.6,

Siobhan's 15% of Priya's profit from the store ⇒ 15/100 * 12.6 = $ 1.8

Siobhan's profit at the grocery store ⇒ 12.6 - 1.8 = $ 10.8

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Write the following fractions in order of size.
Start with the smallest fraction.

(anyone pleasee

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

You have to convert them so they have a common denominator

A common multiple of all these is 24

3/4 --> 18/24

5/12 --> 10/24

1/2 --> 12/24

1/4 --> 6/24

2/3 --> 16/24

Now you can easily compare the values

The correct order would be:

D B C E A

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

Order is DBCEA (1/4, 5/12, 1/2, 2/3, 3/4)

Step-by-step explanation:

Reason that is the order is if you make everthing have a common denominator of 12 you get:

A=9/12

B=5/12

C=6/12

D=3/12

E=8/12

If you rearrange and simplify again you get the order of DBCEA or 1/4, 5/12, 1/2, 2/3, 3/4

A child throws a ball upward with an initial velocity of 15 ft/s from a height of 2 feet. Let ℎ = 0 and solve. If no one catches the ball, how long will it be in the air? Round to the nearest hundredth. ℎ = −16 2 + v + where v is the initial upward velocity with starting height

Answers

Answer:

1.056 seconds

Step-by-step explanation:

Solution:-

- When a ball is thrown vertically in air from a height of "so" from the ground at a velocity of " vo " it follows a parabolic trajectory. The ball undergoes its upward motion against gravity. Hence, it has negative acceleration of a = -g = -32 ft/s^2.

- When the balls reaches its maximum height in air, it starts its downward journey under the complete influence of gravity; hence, it accelerates with a = +g = 32 ft/s^2.

- The entire trajectory of the ball is governed by the constant acceleration "a" due to gravity and neglecting any other effects on the ball i.e air resistance.

- There are three kinematic equation of motion valid for any particle undergoing independent one dimensional motion with constant acceleration.

- For vertical trajectory the displacement "h" from the ground is given by the second kinematic equation of motion:

                  h - so = vo*t + 0.5*a*t^2

                  h = vo*t + 0.5*a*t^2 + so

Where the parameters are given as:

                so = 2 feet

                vo = 15 ft/s

                a = - 32 ft/s^2

Therefore we have:

                  h = 15*t + 0.5*(-32)*t^2 + 2

                  h = -16t^2 + 15t + 2

- To determine the amount of time the ball is in air the displacement is given by the distance from the ground. The journey starts when the ball is thrown from height "so" and ends when it strikes the ground; hence, at h = 0 ft.

                0 = -16t^2 + 15t + 2

                0 = 16t^2 -15t - 2

                 

- Use the quadratic formula to solve for time "t":

               [tex]t = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a} \\\\at^2 + bt + c = 0[/tex]

- Plug in the respective constants:

                [tex]t = \frac{15+/-\sqrt{15^2 - 4*16*-2} }{32} \\\\ t = \frac{15+/-18.78829 }{32} \\\\t = 1.056 s[/tex]

- The total time for ball in air would be 1.056 seconds. ( Neglect the negative value of time )

               

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Devon purchased one bag of dog food and three bags of cat food. Each bag of dog food weighs x pounds and each bag of cat food weighs half as much as the bag of dog food. The total weight of Devon's purchase is 32.5 pounds. The equation x+3(x/2)=32.5 can be used to determine the weight of the dog food and cat food. What is the weight in pounds of one bag of cat food? FP!!!!!!!!!!!!!!!What is (10 x 10 ) + 50 + 1 = 1.8*x+1.2*y=4 6*y +9*x=3 Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 15 miles at a speed of 5 mph, while Bob's motorboat traveled 42 miles at a speed of 14 mph. For how long were Niles and Bob traveling? at a sale, costs were sold for $10 each. if the coats originally cost $20 each, what percentage of its original price was a coat sold for? What was one argument against immigration?O A. Immigrants used public services but didn't pay taxes.O B. Immigrants only wanted to stay long enough to get rich.O C. Immigrants didn't want to live in cities.OD. Immigrants did not want to learn new jobs. Tigers and crocodiles are more closely related than tigers and sharks.Which statement about shared characteristics best supports this statement?Crocodiles and sharks both live in water.Crocodiles and tigers are both made of cells.Crocodiles and tigers both have four legs.Sharks and tigers are both meat eaters. Functions for gall bladder Part A:A truck delivers 32 cases of soup to a store . Each case holds 8 cans of soupThe store manager plans to place 9 cans on each shelf. What is the fewest number of shelves the manager will need for all of the cans of soup delivered by the truck? Part B: The same truck delivers 9 cases of canned corn. Each case holds 36 cans of When the cases are unpacked 15 of the cans are missing. The store manager places 7 cans of corn on cach shelf. What is the fewest number of shelves the manager will need for all of the cans of corn delivered by the truck? Write out the equations that represent Part A and Part B. Solve for an angle in right trianglesT.T why dont my questions ever get answered? Solve the system of linear equations by substitution. y=4x9 4xy=1 Which inequality represents the graph below?y 3y 3y 3x 3 Which figure is shown?prismpyramidcylindercone what is the most extraordinary thing about the ovalites ? Haver Company currently produces component RX5 for its sole product. The current cost per unit to manufacture the required 57,000 units of RX5 follows. Direct materials $ 5.00 Direct labor 9.00 Overhead 10.00 Total costs per unit $ 24.00 Direct materials and direct labor are 100% variable. Overhead is 80% fixed. An outside supplier has offered to supply the 57,000 units of RX5 for $20.00 per unit. Required: 1. Calculate the incremental costs of making and buying component RX5. -1/2x + 1/8 = -1/3x - i/4 Please Help!What is m 8/9 Divided by 6/9 = ? A. 17/54 B. 16/27 C. 4/3 D. 24/5 How to expand the following problem