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WARRIOR [948]
3 years ago
9

3. The volume of a shipping container is 448.656 cubic inches and it can hold 24 smaller boxes. What is the volume of each of th

e smaller boxes? A. 18.693 cubic inches B. 18.667 cubic inches C. 18.694 cubic inches D. 17.946 cubic inches
Mathematics
1 answer:
Licemer1 [7]3 years ago
7 0

We are given volume of a shipping container = 448.656 cubic inches.

And this shipping container can hold =  24 smaller boxes.

Volume of each small box = \frac{The\ volume\ of\ the \ shipping\ container}{Volume \ of \ each \ small \ box}.

= \frac{448.656}{24}

On dividing 448.656 by 24 we get

= 18.694.

<h3>Therefore, the volume of each of the smaller boxes is C. 18.694 cubic inches .</h3>
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Based on the diagram below, what is the interior measure of ∠Y ?
nordsb [41]

Answer:

∠Y = 104°

Step-by-step explanation:

vertical angles are equal ⇒ ∠DAN = ∠SAY = 48°

Sum of interior angles of a triangle = 180°

⇒ ∠SYA + 56 + 48 = 180

⇒ ∠SYA = 76°

Angles on a straight line add up to 180°

⇒ ∠Y + ∠SYA = 180°

⇒ ∠Y + 76 = 180

⇒ ∠Y = 104°

4 0
2 years ago
Find the surface area of the solid. Round to two decimal places
Ne4ueva [31]
Check the picture below.

so, to get the area of the triangles, we can simply run a perpendicular line from the top to the base, and end up with a right-triangle with a base of 22 and a hypotenuse of 34, let's find the altitude.

\bf \textit{using the pythagorean theorem}&#10;\\\\&#10;c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b&#10;\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;\end{cases}&#10;\\\\\\&#10;\sqrt{34^2-22^2}=b\implies \sqrt{672}=b

so then the surface area of the triangular prism is,

\bf \stackrel{\textit{left and right}}{2(34\cdot 76)}~~+~~\stackrel{\textit{bottom}}{(44\cdot 76)}~~+~~\stackrel{\textit{front and back}}{2\left[\cfrac{1}{2}(44)(\sqrt{672})  \right]}&#10;\\\\\\&#10;8512~~+~~(44)(\sqrt{672})\qquad \approx\qquad 9652.61036291978

5 0
3 years ago
Anyone know the answer?
WITCHER [35]


(f-g)(x) = f(x) - g(x) = (3x-5) - (x+3) = 2x -8


Choice D


5 0
3 years ago
Franco made a dozen muffins for his party. Upon taking them out of the oven,
Naddik [55]

Answer:

Option B.

Step-by-step explanation:

This question is incomplete; find the complete question with the attachment.

Franco made number of muffins = a dozen

A dozen muffins = 12 muffins

Number of muffins were burned = 2

Remaining muffins = 12 - 2 = 10

Franco served 7 of the remaining non-burned muffins,

Fraction of muffins served = \frac{7}{10}

Remaining muffins = 3

Fraction of remaining muffins = \frac{3}{10}

Fraction of remaining non-burned muffins we can get from,

\frac{10}{10}-\frac{7}{10}=\frac{3}{10}

Option B is the correct equation.

7 0
3 years ago
Jeremy randomly selected a round tile and a square tile from the sets shown below. what is the probability that jeremy selected
klio [65]

The probability that Jeremy randomly selected a round tile and a square tile from the sets is given as 1/40 (Option D).

<h3>What is probability?</h3>

Probability in mathematics is the branch of maths that speaks to the likelihood of an event occurring. Probability is usually given or described to occur between 0 and 1.

1 is the likelihood that the event will occur while zero is the certainty that an event will NOT occur.

Taken in decimal form, the likelihood of the above event occurring will very slim, because, 1/40 = 0.025

Learn more about Probability at:

brainly.com/question/24756209

5 0
1 year ago
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