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
8090 [49]
3 years ago
13

The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be mad

e 1/8  of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank? 
Mathematics
1 answer:
aalyn [17]3 years ago
3 0
To represent the volume of the smaller version, you need to understand that if one dimension is 1/8 smaller, than you will apply 1/8 to each dimension in the volume.  1/8 x 1/8 x 1/8 = 1/512

This means the volume of the smaller version will be 1/512x, where x is the volume of the original.
You might be interested in
What two numbers multiply to 44 and add up to 12?
djverab [1.8K]
This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.

let the two numbers be x and y.

Multiply to 44.      x*y = 44 ..........(a)

Add up to 12.      x + y = 12 .........(b)

From (b)

y = 12 - x .......(c)

Substitute (c) into (a)

x*y = 44

x*(12 - x) = 44   

12x - x² = 44

-x² + 12x = 44

-x² + 12x - 44 = 0.       

Multiply both sides by -1

-1(-x² + 12x - 44) = -1*0

x² - 12x + 44 = 0.   

This does not look factorizable, so let us just use quadratic formula

comparing to ax² + bx + c = 0, x² - 12x + 44 = 0,  a = 1, b = -12, c = 44 

x = (-b + √(b² - 4ac)) /2a   or (-b - √(b² - 4ac)) /2a


x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)    

x = (12 + √(144 - 176) )/ 2

x = (12 + √-32 )/ 2

√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2

Where i is a complex number.  Note the equation has two values. We shall include the second, that has negative sign before the square root.

x = (12 + √-32 )/ 2      or     (12 - √-32 )/ 2   

x = (12 + 4i√2 )/ 2              (12 - 4i√2 )/ 2 

x = 12/2 + (4i√2)/2                12/2 - (4i√2)/2

x = 6 + 2i√2            or         6 - 2i√2

Recall equation (c):

y = 12 - x, When x = 6 + 2i√2,  y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2

When x = 6 - 2i√2,  y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2


x = 6 + 2i√2,  y = 6 - 2i√2

x = 6 - 2i√2,  y = 6 + 2i√2

Therefore the two numbers that multiply to 44 and add up to 12 are:

6 + 2i√2 and 6 - 2i√2
8 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through point (1, 1) and is
kaheart [24]

Answer:

Step-by-step explanation:

-y = -2x + 3

y = 2x - 3

y - 1 = 2(x - 1)

y - 1 = 2x - 2

y = 2x - 1

answer is B

8 0
3 years ago
A tunnel is in the shape of a parabola. The maximum height is 16 m and it is 16 m wide at the base, as shown below.
NeX [460]
Vertex at the origin and opening down → y=ax^2
Width: w=16
x=w/2→x=16/2→x=8
x=8, y=-16→y=ax^2→-16=a(8)^2→-16=a(64)→-16/64=a(64)/64→-1/4=a→a=-1/4

y=ax^2→y=-(1/4)x^2

7 m from the edge of the tunnel → x=w/2-7=8 m-7 m→x=1 m
x=1→y=-(1/4)x^2=-(1/4)(1)^2=-(1/4)(1)→y=-1/4

Vertical clearance: 16-1/4=16-0.25→Vertical clearance=15.75 m

Please, see the attached file.

Answer: Third option 15.75 m

3 0
3 years ago
Read 2 more answers
What are two basic parts of a fraction
bearhunter [10]

Answer:

Numerator and denominator

Step-by-step explanation:

Numerator is the top number

Denominator is the bottom number

6 0
3 years ago
HELP NEED HELP FAST ANSWER FAST PLEZ
vodomira [7]

Answer

nvm................

4 0
3 years ago
Other questions:
  • Brendon had total job benefits of $39,500 last year. He was required to wear a shirt with the company logo on it for work that h
    9·2 answers
  • A.22<br> B.68<br> C.118<br> D.119
    8·1 answer
  • Is this the correct answer?
    13·1 answer
  • Describe the transformation(s) of the parent function
    7·1 answer
  • Write a solvable word problem for: 8 For 7= 56
    7·2 answers
  • Students at a basketball camp each attempted 5 free throws. The camp instructor recorded the number of free throws that each stu
    10·1 answer
  • A fraction is written in simplest form when the GCF of the<br> numerator and the denominator is
    13·2 answers
  • What ordered pair is -3x + 4y =14
    15·1 answer
  • 12 points and brainliest pls and thank you ! (no unknown links or ill report u and ur whole acc)
    9·2 answers
  • Find the distance between two points <br> (4,6) and (4,-2)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!