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
Hoochie [10]
3 years ago
10

Your principal surprises you by buying your class a turtle. He brings the turtle to your class along with a sheet from the pet s

tore titled "Turtle Tank Rule."
*Tank walls must be at least 1 foot tall so the turtle can't climb out.

*There must be at least 400 square inches of floor space for the turtle to walk around on.

Your teacher says the volume of the tank must be smaller than 5000 cubic inches so it doesn't take up too much room in the classroom.

Give the dimensions of a tank that would work for your new turtle. Use words and numbers to explain how your tank satisfies the "Turtle Tank Rules" and your teacher requirements.

Volume of a rectangular prism= length X width X height
Mathematics
1 answer:
Nitella [24]3 years ago
7 0
The height of the tank must be at least 1 foot, or 12 inches. We know the floor area (which is length x width) must be at least 400 inches. Therefore these minimum dimensions already tell us that the minimum volume is 400 x 12 = 4800 cubic inches. Since we have a maximum of 5000 cubic inches, the volume must be within the range of 4800 - 5000 cubic inches.

We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.
You might be interested in
A winter resort took a poll of its 400 visitors to see which winter activities people enjoyed. The results were as follows: 188
VARVARA [1.3K]
Exactly one activity:  246
None of the activities :  1
At least one activity:  74
Snowboarding and Ice skating but not skiing:  5
Snowboarding or ice skating but not skiing:  132.
Only skiing :  119.
The diagram is in the attachment. 
Download docx
6 0
3 years ago
Help please!!!! Best answers!!
Snezhnost [94]
A Probability near 1 Indicates an Unlikely Event . I'm Guessing
8 0
3 years ago
Read 2 more answers
If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can
valina [46]

Part (a)

<h3>Answer: x^3 + 12x^2 + 47x + 60</h3>

--------------------------

Work Shown:

Let's say we have

  • L = length = x+5
  • W = width = x+4
  • H = height = x+3

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

=======================================================

Part (b)

<h3>Answer: 336 cubic feet</h3>

--------------------------

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

3 0
3 years ago
The diameter of a circle is 10 ft. Find the circumference to the nearest tenth to the nearest tenth. (Urgent)
Paul [167]

Answer:

31.42ft

Step-by-step explanation:

diameter = 10

radius = diameter ÷ 2

r = 10 ÷ 2

r= 5

Circumference = 2(pie)(r)

= 2(22÷7)(5)

= 31.42ft

6 0
2 years ago
Read 2 more answers
Simplify. 14 3/8 - 10 5/8
Aneli [31]

Answer:

When we simplify the problem we get 33/8

6 0
3 years ago
Other questions:
  • Identify the perimeter of a rectangle in which h = 9 ft and A = 225x ft2. The choices are P = (9x + 25) ft
    12·1 answer
  • 1 quart is equal to 4 cups given a fact what is 8 quarts equivalent to in cups
    8·2 answers
  • What is a reasonable estimate for -3/2x (-5 1/4)
    13·2 answers
  • 6-3(x-5)=5x-11 how do i do this
    13·2 answers
  • Wilton drives a taxicab. He charges $40 per hour. One passenger gave Wilton a tip of $30. He gave Wilton a total of $150. He is
    7·2 answers
  • Please help i don't understand this question
    5·1 answer
  • Simplify 6g + 8 - 3g - 2
    6·1 answer
  • Please help please please help me please please
    7·2 answers
  • [-4<br> 6<br> 3<br> -4]<br> [2<br> 3<br> 1.5<br> T]
    10·1 answer
  • p(x)=(1)/(x+1) and q(x)=(1)/(x-1) perform the operation that results in another rational expression p(x)/q(x)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!