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3 years ago

The edge length of a cube is 17 cm. Identify the length of its diagonal. Round to the nearest tenth, if necessary. HELP PLEASE!!

Mathematics

1 answer:

lara31 [8.8K]3 years ago

3 0

Answer:

29.4 cm

Step-by-step explanation:

The length of the space diagonal can be found to be the root of the squares of the three orthogonal edge lengths. For a cube, those edge lengths are all the same, so the diagonal length is ...

d = √(17^2 + 17^2 +17^2) = 17√3 ≈ 29.4 . . . . cm

_____

Consider a rectangular prism with edge lengths a, b, c. Then the face diagonal of the face perpendicular to edge "a" has length ...

(face diagonal)^2 = (b^2 +c^2)

and the space diagonal has length ...

(space diagonal)^2 = a^2 + (face diagonal)^2 = a^2 +b^2 +c^2

So, the length of the space diagonal is ...

space diagonal = √(a^2 +b^2 +c^2)

when the prism is a cube, these are all the same (a=b=c). This is the formula we used above.

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5-12 - _ + 5/4 = 2/3

natima [27]

Answer: -6 5/12 or -6.42

Step-by-step explanation:

From the question, 5 -12 - + 5/4 = 2/3

Let the missing value be x

Then subtract 5 from 12

-7 - x + 5/4 = 2/3

Add 7 to both sides

= -7 - x + 5/4 +7 = 2/3 +7

+7 cancels -7 on the left hand side of the equation

= -x + 5/4 = 2/3 +7

Then, subtract 5/4 from both sides to get

-x = 2/3 - 5/4 +7

-x= 77/12

x = -6 5/12 or -6.42

I hope this helps

8 0

3 years ago

Read 2 more answers

At the produce counter, 71⁄5 pounds of seedless grapes cost $12.89. How much would 3 pounds cost?

zysi [14]

Answer:

D. $5.37

Step-by-step explanation:

We need to figure out how much grapes cost per pound

Change the mixed number to an improper fraction

7 1/5 = (5*7+1) /5 = 36/5

$12.89 / 36/5

Copy dot flip

12.89 * 5/36 = 1.79 per lb

If we are purchasing 3 pounds, we will multiply by 3

3 lbs * $1.79 / lb = $5.37

6 0

3 years ago

Given the algebraic expression the quantity 64 times x to the two-thirds power end quantity to the negative one-third power comm

11111nata11111 [884]

The given algebraic expression is equal to 1 divided by the quantity 4 times x to the two-ninths power end quantity. The correct option is B.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given algebraic expression can be simplified using the exponential properties. Therefore, the simplification of the algebraic expression can be done as shown below.

$(64x^{\frac23})^{-\frac13}$

$= (4^3)^{-\frac13} \times x^{(\frac23 \times -\frac13)}\\\\= 4^{(3 \times -\frac13)} \times x^{(\frac23 \times -\frac13)}\\\\= 4^{-1} \times x^{-\frac29}\\\\=\dfrac{1}{4x^{\frac29}}$