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klasskru [66]
3 years ago
7

Tank walls must be at least 1 Foot tall so the turtle can't climb out. there must be 400 square inches of floor space for the tu

rtle to walk around on
the volume of the tank must be smaller than 5000 cubic inches .


need the dimensions
Mathematics
1 answer:
melamori03 [73]3 years ago
3 0
To find the dimensions of the tank, you will use the volume of a rectangular prism formula.

V = BH, where B is the area of the base and H is the height.
      400 in^2 x 12 in
V = 4800 in^3

This volume would be less than 5000 cubic inches, so to find the dimensions, you will need to find 2 factors that equal 400 (20 in x 20 in).

All the dimensions would be length 20 in, width, 20 in, and height  12 in.
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Answer:

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What does (d+3) represent in 4.5(d+3)=45
Scrat [10]

Answer:

(d + 3) would be 10

Step-by-step explanation:

<u>Step 1:  Distribute</u>

4.5(d + 3) = 45

(4.5 * d) + (4.5 * 3) = 45

4.5d + 13.5 = 45

<u>Step 2:  Subtract 13.5 from both sides</u>

4.5d + 13.5 - 13.5 = 45 - 13.5

4.5d = 31.5

<u>Step 3:  Divide both sides by 4.5</u>

\frac{4.5d}{4.5} = \frac{31.5}{4.5}

d = 7

<u>Step 4:  Determine what (d+3) is</u>

(d + 3)

(7 + 3)

10

Answer: (d + 3) would be 10

3 0
2 years ago
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Solve the equations by factoring:<br><br>x^2−3x−40=0<br><br>4x^2−81=0
Alja [10]

Answer:

see explanation

Step-by-step explanation:

Given

x² - 3x - 40 = 0

Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)

The factors are - 8 and + 5, since

- 8 × 5 = - 40 and - 8 + 5 = - 3, thus

(x - 8)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

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

Given

4x² - 81 = 0 ← this is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

4x² - 81

=(2x)² - 9²

= (2x + 9)(2x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = - \frac{9}{2}

2x - 9 = 0 ⇒ 2x = 9 ⇒ x = \frac{9}{2}

8 0
3 years ago
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Which of the following numbers is not written in scientific notation?
Sonja [21]

Answer A

Step-by-step explanation:

Because there is a zero at the begining.

8 0
3 years ago
5) If Oskar bisects the diameter of a circle, what is he trying to construct?
pav-90 [236]

Answer:

Center = (5,-3) and radius = 7

Step-by-step explanation:

(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.

(6) The given equation is :

(x-5)^2+(y+3)^2=49

The general equation of circle is given by :

(x-a)^2+(y-b)^2=r^2 ...(1)

Where

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The given equation can be written as :

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Comparing equation (1) and (2) we get :

a = 5, b = -3 and r = 7

So,

Center = (5,-3) and radius = 7

Hence, this is the required solution.

8 0
3 years ago
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