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Ivan
3 years ago
9

It takes 343 inches³ of water to fill an empty cube. If the sides of the cube were tripled, how much water would be needed to fi

ll the new cube?
Mathematics
1 answer:
pochemuha3 years ago
8 0
I believe it would be 9,261 inches of water to fill the new cube.


To find the maximum capacity of a cube you have to multiply s*s*s (each s stands for one of its sides)

The side length happens to be 7. 7 times 7 times 7 is 343. If we triple that length now it’ll be 21. Multiply 21 by 21 by 21 it’ll give you 9,261 inches
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3 years ago
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Help please asap i<br> show step by step !
pychu [463]

Answer:

a = 4\sqrt{3}

b= 4

Step-by-step explanation:

It's a 30-60-90 triangle based on the given picture. A right triangle too

Use sine, cosine, and tangent to solve for the side.

To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.

OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and x\sqrt{3} for long leg

So either way, b = 4

To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.

OR you can use the same rule, 30-60-90 triangle to save time

a will end up = 4\sqrt{3}

6 0
2 years ago
—7m&lt;28 solve please hurry
mario62 [17]

Answer:

the answer is -4

Step-by-step explanation:

step 1: -7m<28

step 2: -7m÷ (-7)>28÷(-7)

step 3: m>28÷(-7)

step 4: m>-28÷7

step 5: m>-4

8 0
3 years ago
What is the linear equation for 3x+2y=62
scZoUnD [109]
<span>In this formula :

</span><span>y </span>tells us how far up the line goes
<span>x </span>tells us how far along
<span>m </span>is the Slope or Gradient i.e. how steep the line is
<span>b </span>is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the<span> line properties.</span><span> We shall now graph the line </span><span> 3x+2y-62  = 0</span><span> and calculate its properties
</span>

Notice that when x = 0 the value of y is 31/1 so this line "cuts" the y axis at y=31.00000

<span>  y-intercept = 62/2 = 31
</span>

When y = 0 the value of x is 62/3 Our line therefore "cuts" the x axis at x=20.66667

<span>  x-intercept = 62/3 = 20.66667

</span>

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 31.000 and for x=2.000, the value of y is 28.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 28.000 - 31.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

<span>  Slope = -3.000/2.000 = -1.500

</span><span>
1.Slope = -3.000/2.000 = -1.500 

2.x-intercept = 62/3 = 20.66667<span> 

3.y-intercept = 62/2 = 31


I got sources from a few websites so excuse if something is weird/wrong.  
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