Allison designs fancy boxes to fill with chocolates. The boxes are in the shape of a right square pyramid as shown, where 8y represents the
length of one side of the base of the pyramid, and 5y represents the height of one triangular face of the pyramid.
8y
The large size box must be designed to have a volume of 1,000 cubic centimeters,
Create an equation that can be used to calculate the length of the base and height of the triangular face of the box. Enter your equation in
the first response box.

Answers

Answer 1

The requreid equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The formula for the volume of a square pyramid is:

V = (1/3) * base area * height

In this case, the base of the pyramid is a square with a side length of 8y, so the base area is:

base area = (8y)² = 64y²

The height of each triangular face is given as 5y, so the total height of the pyramid is 2 * 5y = 10y.

Substituting these values into the formula for volume, we get:

1000 = (1/3) * 64y² * 10y

y ≈ 1.16

Therefore, the length of the base of the pyramid is:

8y ≈ 8.4

And the height of each triangular face is:

5y ≈ 5.8 cm

So the equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

Learn more about Volume here:
https://brainly.com/question/1578538

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Related Questions

Lucas used the number sentence 8 x 2 = 16 to solve a problem. Which problem could he have solved? ​

Answers

Answer:

Word problem 3        

Step-by-step explanation:

Word Problem one is a subtraction problem since Felicia is giving away two marbles to Lucas. Word Problem two is a division problem since Felicia is evenly dividing the number of marbles she has into two bags. Word Problem three is a multiplication problem because Ryan has two times as many marbles that Felicia does. Word Problem four is an addition problem because she found two more marbles while she already has eight marbles. Keywords for subtraction word problems are: fewer than, decrease, take away, less than, minus, difference, change, lost reduced, and subtract. Keywords for division word problems are: As much, cut up, groups, equally, sharing, half, how many in each, parts, per percent, quotient, ratio, and separated. Keywords for multiplication word problems are: double, every, factor, increased, multiplied product, times, and tripled.

100 PTS help all information in pictures below

Answers

Answer:

Question 1: 11%

Question 2: 89%

Question 3: 43%

Question 4: 11%

Step-by-step explanation:

Looking at picture 1, we need to find the crossing point between -1.2 and 0.05. That has 0.1056, which is the same as 10.56%. 10.56% rounds to 11%, so C is our answer.

Picture 2 has the same chart, but we just need to find the inverse, since the inequality sign is flipped. 100 - 10.56 is 89.44%, which rounds to 89%, so D is the answer for Picture 2.

Picture 3 has two tables. 0.73 has 76.73% and -0.41 has 34.09%. Subtract 34.09% from 76.73% to get 42.64% That rounds to 43%, so A is the answer.

Picture 4 essentially has the same expression as Picture 2 (only the sign has switched): P(z ≥ 1.25). The meeting point is 89.44%. Now, subtract that from 100 to get 10.56%, which rounds to 11%. C is our answer for Picture 4.

I hope this helps you! ^w^

Answer:

Question 1: 11% , Question 2: 89%, Question 3: 43%, Question 4: 11%.

Step-by-step explanation:

The First person's answer is correct. Have a great summer.

The scatter plot shows (no correlation/ a positive correlation/ a negative correlation)

because the values of y (decrease/ increase/ stay the same)

Need the answer asap

Answers

Answer: a positive correlation, increase, 0.5

the spinner is divided into 12 equal sectors. What is the possibility of not spinning a 2?

Answers

Answer:

11/12

Step-by-step explanation:

I am assuming the spinner is divided into 12 equal sectors and numbers 1-12 are written on them. Comment if I am wrong.

Spinning the 12 sided spinner, there is a 1/12 chance of spinning a specific number. So we take the opposite of that, which is 11/12. The chances of not rolling a two mean it comes out true if you roll numbers 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

Janine charges $8.25 per hour to walk dogs. She
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?

Answers

Answer:

walks dogs for 3 hours on Saturday and 4 hours on

Sunday. She calculates her total pay to be $57.75.

Which equation could be used to check the reasonableness of her total?

Step-by-step explanation: concept

Answer: Multipulcation

Step-by-step explanation:

The reason why is because you would first need to calculate how much she is owed [8.25 x 3 +(8.25 x 4)]

What is the value of [4-9472
0 -36
0-33
-32
0-30

Answers

Answer:

Su búsqueda - ¿Cuál es el valor de [4-9472 0 -36 0-33-32 0-30 - no produjo ningún documento.

Sugerencias:

Asegúrese de que todas las palabras estén escritas correctamente.

Pruebe diferentes palabras clave.

Prueba palabras clave más generales.

Pruebe con menos palabras clave.

Step-by-step explanation:

I
Which ordered pair could you add to the following list of points to
create a function? (3,5) (4, 9) (2,5)
(4, 1)
(2,6)
(3,7
(1,9)

Answers

Answer:

2-6

Step-by-step explanation:

5 673226

The volume of smaller rectangular prism V = 512 cm3,
the volume of larger rectangular prism V= 4,096 cm3.
What is the ratio of the height of the smaller rectangular prism to the height of the larger rectangular prism?
Write an answer as the ratio of two whole numbers separated by colon. (example: 2:3)

Answers

512:4,096 or if we were reducing
1:8

1. A baker bought 12 pounds of flour. He used 5/8 of the flour. How many pounds of flour are left?

Answers

Answer:

7 1/2 pounds

Step-by-step explanation:

12/1 x 5/8 = 60/8 = 7 4/8 = 7 1/2

First person to respond will be marked brainly

Answers

Answer:

1.) V=πr2h=π·6.52·16≈  2123.71663, rounded= 2123.72

2.)V=πr2h=π·22·3≈37.69911, rounded= 37.80, or 37.8

3.) V=πr2h=π·12·3≈9.42478, rounded= 9.42

4.)70.69

5.)V=πr2h=π·3.82·3≈136.09379, rounded= 136.09

Which system of equations is inconsistent?

Answer Choices Listed Below

Answers

Answer:

B

Step-by-step explanation:

just took the test

A container is in a shape of a right circular cylinder standing on its base. If 100 cubic centimeters of water is poured into the container the height of the water is 8 centimeters. What is the height of the water if only 75 cubic centimeters is poured into the container?
A) 2.1 cm
B) 3.8 cm
C) 6.0 cm
D) 6.9 cm
E) 10.7 cm
And why???

Answers

Answer:

Step-by-step explanation:

The shape of the container isn’t changing here, so the height of the water will be proportional to the volume. 75 cm^3 is ¾ of 100 cm^3, so the water will rise ¾ as high.

¾ of 8 cm is 6 cm.

Find x when f (x)= 25

Answers

What is the equation? F(x) is y

Byron collected data comparing the height in centimeters of several tree seedlings and their age in weeks. The scatterplot shows the data he collected.
Based on the scatterplot, what is the best prediction of the height of a seedling that is 10 weeks old?
A-15cm
B-24cm
C-4cm
D-18cm

Answers

Answer:

24

Step-by-step explanation:

I've found the graph for this question and every time I alligned it, I got 24

Which of the following is equivalent to the square root of -75

PLEASE HELP​

Answers

I dont have square root sorry the answer is the first one because you will simplify 75 to 5 3

Answer:

1st answer 5i√3

Step-by-step explanation:

write the sentence as an inequality.
a number k is more than -7 and less than -1.​

Answers

Answer:

-7<k<-1

Step-by-step explanation:

k is greater than negative seven, and

-1 is greater than k

In circle A measure of arc BD-56' and BC is a diameter. Which statements are correct?

Answers

The answer is quiet clear I done he snaisknsnridnd

Answer:

90 degrees and 80 degrees

Ms. jones wants to take her students for all of her classes on a field trip to see a Broadway production. There are three shows to choose from. She wants to determine which show students would like to see. which sample would be the most appropriate for this survey?

A: Every fifth student that enters her classroom

B: Her Honors class

C: 5 boys in each of her class

D: At the end of the day, ask teachers what they think student will like

Answers

Answer:

A

Step-by-step explanation:

Because it is a random sample

What is the area of the rectangle 3cm for width and 8cm for length

Answers

Answer:

3cm for width and 8cm for length the area for the rectangle is 24cm

What’s the correct answer for this?

Answers

Answer:

6

Step-by-step explanation:

The numerator is the number of apples and the denominator the total number of fruit.

There are 6 apples, then numerator = 6

Answer:

if jasmine writes the fraction of fruit that are apples and does not reduce the fraction...

●6/10

is this a function ? please help !

Answers

Answer:

Well it is a function because the way I’m looking at it is that the lines never overlap each other except for the X and y axis but those arent lines. The line is just straight and nothing else overlaps or courses it. So it Is a function.


Which is closest to the length of AB?
A. 3.5 in.
B. 2.9 in.
C. 2.4 in.
D 1.4 in

Answers

Answer:

gohdsyuufdyiikkjhfddyiooufddtuiokhfd

y = x + 9
3x + 8y = -5


PLEASE SHOW WORK!!!
Due TODAY!!!!!

Answers

Answer:

x=-45/11

y=10/11

Step-by-step explanation:

y = x + 9   eq 1

3x + 8y = -5   eq 2

Re arranging eq 1

x-y=-9

Now multiply  eq 1 with 8

8x-8y=-40   now call as eq 3

Add eq 2 and 3

3x+8y=-5

8x-8y=-40

11x=-45

x=-45/11

put value of x in eq 2 for y

 3(-45/11)+8y=-5

-135/11+8y=-5

8y=-5+135/11

8y=(-55+135)/11

8y=80/11

y=(80/11)*(1/8)

y=10/11

Check

3*(-45/11)+8*(10/11)=-5

-135/11+80/11=-5

(-135+80)/11=-5

-55/11 =-5

-5=-5

 

kathy walked 3/4 mile to piano lessons every day.How many miles does she walk in 4 days​

Answers

Answer:

3 miles.

Step-by-step explanation:

Given that Kathy walks 3/4 mile every day.

[tex]\frac{3}{4}mile = 1 day[/tex]

Let's multiple it by 4.

[tex]\frac{3}{4} (4)[/tex]

Find common factor of both 4 to simplify, so of course 4.

[tex]\frac{3}{1} (1)[/tex]

Multiply across and the number should be 3! Hope that helped

What is the surface area of the triangular prism?

A triangular prism. The rectangular sides are 3 feet by 6 feet, 3 feet by 7.5 feet, and 3 feet by 4.5 feet. The triangular sides have a base of 6 feet and height of 4.5 feet.

[Not drawn to scale]

54 square feet
67.5 square feet
81 square feet
85.5 square feet

Answers

Answer:

The answer would be 81, or C

Step-by-step explanation:

youre welcome, have a great day :D!!

Answer:

81 or c

Step-by-step explanation:

Help me with the work please if you can

Answers

Answer:

D, 525

Step-by-step explanation:

1) Find what percent 45 is out of 150

45/150 x 100/100 = 4,500/15,000 = 30/100 = 30%

2) Find 30% of 1,750

1,750 x 0.3 = 525

Answer= D

21 and 22 are complementary angles. The measure of Z1 is 60°. The
measure of 22 is 5(x - 1)º. Find the value of x.

Answers

Answer:

The value of x is 7

Step-by-step explanation:

Complementary angles have a sum of 90°, therefore the equation to solve for x is:

∠1+∠2=90°

60°+5(x-1)°=90°

5(x-1)=30°

x-1=6

x=7

So the value of x is 7

What is 0.8 m3 when converted in cm3?

Answers

Answer:

80 cm3

Step-by-step explanation:

100 cm = 1 m

.8m * 100 - 80cm

What percent of 400 is 8?
help
no links

Answers

Answer:

2%

Step-by-step explanation:

Hello, to find the percentage of 8 and 400, you simply divide 8 over 400 and you get 2%.

Answer:

2%

Step-by-step explanation:

[tex]\frac{8}{400} =\frac{y}{100}[/tex]

Cross multiply.

400y = 800

400y ÷ 400 = 800 ÷ 400

y = 2

Find the area of the figure.
Use a = 3.14
10 ft,
16 ft
8 ft

Answers

Answer: A = 132 . 93 cm 2

Step-by-step explanation:

A = lw

A = 8.7

A = 56cm2

A=2

A=(3.14)(7) 2

A 153 . 86 cm 2

76. 93 cm 2

A = 56cm 2 + 76.93 cm 2

A = 132 . 93 cm 2

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