1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lunna [17]
3 years ago
7

Extend the rate table to find the unknown value in the

Mathematics
1 answer:
Ber [7]3 years ago
5 0

Answer:324

Step-by-step explanation:

You might be interested in
Need Help
klio [65]

The smallest amount of material needed is 54 square centimeters

<h3>How to determine the amount of material needed?</h3>

The given parameters are:

Volume = 36 cubic centimeters

Represent length with x, width with y and height with z.

So, we have

x = 3y

The volume is calculated as:

V = xyz

This gives

V = 3y²z

Substitute 36 for V

3y²z = 36

Divide by 3

y²z = 12

Make z the subject

z = 12/y²

The surface area is:

S = 2(xy + xz + yz)

This gives

S = 2(3y² + 3yz + yz)

Evaluate the like terms

S = 2(3y² + 4yz)

Expand

S = 6y² + 8yz

Substitute z = 12/y²

S = 6y² + 8y * 12/y²

This gives

S = 6y² + 96/y

Differentiate

S' = 12y -  96/y²

Set to 0

12y -  96/y² = 0

Multiply through by y²

12y³ - 96 = 0

Add 96 to both sides

12y³ = 96

Divide by 12

y³ = 8

Take the cube root of both sides

y = 2

Recall that:

x = 3y and z = 12/y²

This gives

x = 3 * 2 = 6

z = 12/2² = 3

Recall that:

S = 2(xy + xz + yz)

So, we have:

S = 2(6 * 2 + 3 * 3 + 2 * 3)

Evaluate

S = 54

Hence, the smallest amount of material needed is 54 square centimeters

Read more about surface areas at:

brainly.com/question/76387

#SPJ1

8 0
2 years ago
✨✨What’s 2 differences between the Earths layers and the atmospheric layers? ✨✨
n200080 [17]

Answer:

Our planets layers are divided into five layers. The atmosphere thins out in each higher layer until the gases dissipate in space.

Step-by-step explanation:

5 0
3 years ago
What is the decimal Expansion of the following fraction?
mars1129 [50]

Answer:

B

Step-by-step explanation:

1/25 = 0.04 only. this is surely the anwer

4 0
3 years ago
Step by step how do you solve ratios and proportions?
Lisa [10]

Answer:

A proportion is an equality of two ratios.

...

Things to remember

Determine whether the ratio is part to part or part to whole.

Calculate the parts and the whole if needed.

Plug values into the ratio.

Simplify the ratio if needed. Integer-to-integer ratios are preferred.

4 0
3 years ago
10 One of the legs of a right triangle has vertices with coordinates (-2,4) and (10,0).
jeka57 [31]

The equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

<h3>How to find the equation of a line?</h3>

The equation of a line in slope-intercept form is expressed as y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (-2, 4) and (10, 0)

Find the slope

Slope = -4/12
Slope = -1/3

Determine the y-intecept

0 = -1/3(10) + b

b = 10/3

Determine the equation

y = -1/3x + 10/3

Hence the equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

Learn more on equation of a line here: brainly.com/question/13763238

7 0
2 years ago
Other questions:
  • Find the distance between the points (-10, 5) and (-8, -3). A) 2 17 B) 8 C) 59 D) 55
    11·2 answers
  • Enter the slope-intercept equation of the line that has slope -5 and y intercept (0, 8)
    8·1 answer
  • For a project, you need to make three triangles out of cardboard. Each triangle has a height of 5 inches and a base of 10 inches
    11·2 answers
  • The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almana
    11·1 answer
  • A company is considering making a new product. They estimate the probability that the new product will be successful is 0.75. If
    14·2 answers
  • Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
    13·2 answers
  • The average height of men in 1960 was found to be 68 inches (5 feet, 8 inches). A researcher claims that men today are taller th
    15·1 answer
  • What is the acceleration of an object with f=7.92 Newton's and m=3.6 kilograms
    15·2 answers
  • The figure shown is a composite figure. What is its volume? cubic inches
    11·2 answers
  • Alejandra wants to raise at least $400 for charity. She has 190 that she will be donating. Alejandra plans to ask her friends to
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!