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Svetradugi [14.3K]
3 years ago
14

A cereal box is a rectangular prism that is 8 inches long and 2 1/2 inches wide. The volume of the box is 200in3. What is the he

ight?

Mathematics
1 answer:
Zarrin [17]3 years ago
7 0

Answer:

Height=10\, inches

Step-by-step explanation:

Volume of a Rectangular Prism is :

             Length\times Width \times Height

For,

Volume=200\,inch^3\\\\Length= 8\,inches\\\\Width=2\dfrac{1}{2}=\dfrac{5}{2}\\\\  Height=?\\

200=8\times \dfrac{5}{2}\times Height\\\\ 200=4\times 5\times Height\\\\200=20\times Height\\\\Height=\dfrac{200}{20}\\\\ Height=10\,inches

The Height of the rectangular prism is: 10\,inches

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Adam plans to choose a video game from a section of the store where everything is 75%
Minchanka [31]

Answer:

Look below

Step-by-step explanation:

In Adam's expression, d represents the original price of the game. 0.75d represents 75% of the original price; this is the amount of the discount, since everything is 75% off.  Taking the difference of the original price and the discount, d-0.75d, gives us the total price of the game. In Rena's expression, 0.25 represents 25%.  This is because taking 75% off of the price means we still pay 100-75 = 25% of the original price. Multiplying the original price, d, by the 0.25, gives us 25% of the original price; this is the total price.

6 0
3 years ago
Hellooopppppppppppppppp
schepotkina [342]

Answer:

150.88

Step-by-step explanation:

just gotta fine the area for each square using the formula base times height with a good old calculator and add them all together, hopefully that's correct

7 0
3 years ago
Which number line best shows the position of square root of 13?
BaLLatris [955]
I assume you mean one that is not rational, such as √2. In such a case, you make a reasonable estimate of it's position, and then label the point that you plot.
For example, you know that √2 is greater than 1 and less than 2, so put the point at about 1½ (actual value is about 1.4142).
For √3, you know the answer is still less than 4, but greater than √2. If both of those points are required to be plotted just make sure you put it in proper relation, otherwise about 1¾ is plenty good (actual value is about 1.7321).
If you are going to get into larger numbers, it's not a bad idea to just learn a few roots. Certainly 2, 3, and 5 (2.2361) and 10 (3.1623) shouldn't be too hard.
Then for a number like 20, which you can quickly workout is √4•√5 or 2√5, you could easily guess about 4½ (4.4721).
They're usually not really interested in your graphing skills on this sort of exercise. They just want you to demonstrate that you have a grasp of the magnitude of irrational numbers.
6 0
3 years ago
Hi, does anyone know how to solve this. If so, please show the working out too. Thanks.
sergiy2304 [10]

See the explanation

<h2>Explanation:</h2><h2 />

I have corrected your diagram so ∅ is the angle at the top of the diagram. In order to solve this problem we have to use Pythagorean theorem and the law of sines. Moreover, I have named two sides as w and z so those variables will help us to solve this problem. So:

The triangle at the bottom is right, so by Pythagorean theorem is true that:

w^2=4^2+(2\sqrt{2})^2 \\ \\ w^2=24 \\ \\ w=\sqrt{24} \\ \\ w=2\sqrt{6}

By law of sines:

\frac{z}{sin\theta}=\frac{w}{sin60^{\circ}} \\ \\ z=\frac{wsin\theta}{sin60^{\circ}} \\ \\ z=\frac{2\sqrt{6}sin\theta}{\sqrt{3}/2} \\ \\ z=4\sqrt{2}sin\theta

By law of sines again:

\frac{y}{sin45^{\circ}}=\frac{z}{sin\phi} \\ \\ y=\frac{zsin45^{\circ}}{sin\phi} \\ \\ y=\frac{4\sqrt{2}sin\theta \sqrt{2}/2}{sin\phi} \\ \\ \\ Finally: \\ \\ \boxed{y=\frac{4sin\theta}{sin\phi}}

<h2>Learn more:</h2>

Classification of triangles: brainly.com/question/10379190

#LearnWithBrainly

7 0
3 years ago
It costs $12 to get into a amusement park and $3 for each ride. Write an expression to represent the cost of going to the amusem
pogonyaev
12+3r That’s your equation now
4 0
3 years ago
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