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2 years ago

What is the side length of a cube that has a volume of 729 cubic inches?

Mathematics

2 answers:

Pavlova-9 [17]2 years ago

7 0

9 inches because it couldn’t be any other number.

Tasya [4]2 years ago

5 0

Answer:

a. 9 inches.

Step-by-step explanation:

a. 9 inches

b. 7 inches

c. 8 inches

d. 10 inches

Just cube the answers and the one that equals 729 is the answer.

a. 9*9*9 = 729

b. 7*7*7 = 343

c. 8*8*8 = 512

d. 10*10*10 = 1000

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Which expression represents the greatest common factor (GCF) of 70 and 112? A. 2 x 2 x 2 x 7 B. 2 x 2 x 2 x 5 C. 2 x 7 D. 2 x 2

Mekhanik [1.2K]

Answer:

$\huge\boxed{C. \ \ GCF = 2 * 7}$

Step-by-step explanation:

<u>Firstly, we'll do prime factorization of these numbers.</u>

70 = 2 × 5 × 7

112 = 2 × 2 × 2 × 2 × 7

<u>So, The Greatest Common Factor can be written as:</u>

GCF = 2 × 7 <u>[Since Only one 2 and one 7 is common]</u>

<u></u>

Hope this helped!

<h2>~AnonymousHelper1807</h2>

3 0

3 years ago

The sum of 9 and a number is twice a number plus 14. How would I write this as an equation?

valina [46]

1+2+3+4+5+6+7+8+9×2+14

6 0

2 years ago

A small business just celebrated its 1-year anniversary they calculate that in one year they serve over 5110 customers on averag

Juli2301 [7.4K]

You’re correct answer would be : 14 lmk if this is correct if not I’m so SORRY

8 0

2 years ago

Which statements are true for the functions g(x) = x^2 and h(x) =-x^2? Check all that apply

Sloan [31]

Answer:

h(x) is the NEGATIVE of g(x)

Step-by-step explanation:

Where are the statements? Please share them next time.

h(x) is the NEGATIVE of g(x): h(x) = -x^2 = -g(x)

6 0

2 years ago

A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

5 0

2 years ago