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diamong [38]
3 years ago
10

#15. A cube has a volume of 200 cm ^2 write the

Mathematics
1 answer:
levacccp [35]3 years ago
3 0

Answer:

2(25)^{\dfrac{1}{3}}

Step-by-step explanation:

The volume of a cube is 200 cm².

We need to find the edge length of the cube.

The formula for the volume of a cube is given by :

V=a^3

a is the side of the cube

a=\sqrt[3]{200} \\\\=(200)^{\dfrac{1}{3}}\\\\=(25\times 8)^{\dfrac{1}{3}}\\\\=(25)^{\dfrac{1}{3}}\times (8)^{\dfrac{1}{3}}\\\\=2(25)^{\dfrac{1}{3}}

So, the edge length of the cube is 2(25)^{\dfrac{1}{3}}.

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3 years ago
Dave purchased 3 notebooks for a cost of $6.29 each before tax. He gave the cashier
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$0=20-3*6.29*1.06
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4 years ago
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3 years ago
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Given: — <br> Xw Is an altitude <br> M Prove: x=12
blsea [12.9K]

Answer:

See explanation

Step-by-step explanation:

<u>Given:</u> XW is an altitude

m∠XWY=8x-6

<u>Prove:</u> x=2

<u>Solution:</u>

      Statement                                 Reason

1. XW is an altitude                         Given

2. m∠XWY = 90°                            Definition of altitude

3. m∠XWY = 8x - 6                         Given

4. 8x - 6 = 90                                  Substitution property

5. 8x - 6 + 6 = 90 + 6                     Addition property of equality

   8x = 90

6. x = 12                                          Division property of equality

4 0
3 years ago
melissa runs a landscaping business. She has equipment and fuel for $343 per month. If she charges $46 for each lawn, how many l
dexar [7]
We can find this by creating a function to represent how many lawns she's mowed. 


f(x) = 46x - 343

The 46x represents the profit of 46 dollars per month for each lawn mowed and the -343 is the cost of fuel per month to remove it from profit. We now need to set this function to 800, and solve for x.

800 = 46x - 343
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Because she can't mow part of a lawn, we need to round to a whole number. Our options are to round down to 25 or round up to 26. Lets start with the lower number first, and see if the profit for that many lawns is over 800.

f(25) = 46(25) - 343
f(25) = 1150 - 343
f(25) = 807

Because 25 is over 800 dollars, we don't need to calculate 26. Therefore, she needs to mow at least 25 lawns to make a profit of at least 800 dollars a month.
8 0
4 years ago
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