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3 years ago

If the volume of the planter is 3,072 cubic inches, how tall is the planter?

Mathematics

1 answer:

andrezito [222]3 years ago

4 0

$\it \mathcal{V} =\dfrac{\mathcal{A}_b\cdot h}{3} \Rightarrow h = \dfrac{3\mathcal{V}}{\mathcal{A}_b}= \dfrac{3\cdot3072}{\mathcal{A}_b}\ \ \ \ \ (*)
\\\;\\ \\\;\\
\mathcal{A}_b = \dfrac{\ell^2\sqrt3}{4} = \dfrac{16^2\sqrt3}{4} =\dfrac{16\cdot16\sqrt3}{4} =4\cdot16\sqrt3=64\sqrt3\ \ \ \ (**)
\\\;\\ \\\;\\
(*),\ (**) \Rightarrow h=\dfrac{3\cdot3072}{64\sqrt3} = \dfrac{3\cdot48}{\sqrt3} = \dfrac{\sqrt3\cdot\sqrt3\cdot48}{\sqrt3} = 48\sqrt3\ inches$

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Locate and plot √11 on a number line. Find a better approximation using decimals. 3.2×3.2= 3.4×3.4 = (Type integers or decimals.

ki77a [65]

Answer:

The point 'R' shows the irrational number √11 on the given number line and for better proximation using decimals, 3.2×3.2= 10.24; 3.4×3.4= 11.56

Step-by-step explanation:

It is given that we have to locate √11 on a number line, so for that we need to mark point 'O' on the number line as shown;

Now,

On the number line, point 'O' represent 0 and the point 'L' represents 3. Thus, we have OL = 3 units.

Now, we will construct LM = 1 unit, which will be perpendicular to the number line given;

=> OM = √10

Now, we will further construct MN = 1 unit, which will be perpendicular to OM;

=> ON² = OM² + MN²

=> ON = √OM² + MN²

=> √(10)² + (1)²

=> √10+1

=> √11

Furthermore, With O as the center and ON = √11 for the radius, we create an arc that crosses the number line at R resulting that line OR = √11 (radius).

Therefore, the point 'R' shows the irrational number √11 on the given number line.

For better proximation using decimals, the answers are:

3.2 × 3.2 = 10.24

3.4 × 3.4 = 11.56

To know more about representation on number line, click here:

brainly.com/question/13425491

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2 years ago

What dvision problem can be represented using the number line?

Anon25 [30]

Answer:

Step-by-step explanation:

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3 years ago

a grocery store sells snacks by weight .a six ounce bag of mixed nuts costs $3.60 . predict the cost of two ounce bag

erastova [34]

First you have to find out how much one cost.
In order to do that you have to divide 3.60/6. You would get 6. That is how much one cost. Then you have to multiply 6*2 and you would 12. So the answer is $12. I hope this helps

8 0

4 years ago

Anyone know the answers to 1, 2, 3, 4, 5

muminat

Answer:

1. C. 1/4(4) + 1/4(9) (A, 1/4(13), is essentially C simplified (without figuring it out).)

2. G - -4

3. A - -4(-5) + (-4)x

4. J - 1/6x + 1/6y

5. A - 60(10 + 2)

Step-by-step explanation:

1/4(4 + 9) We can distribute 1/4 into 4 and 9.

1/4(4) + 1/4(9) Now while we have our answer, this can be further simplified.

1/4(13) What's on the left is the simplified 2-term equation.

So really, either C or A will be the answer. But due to the format of #3, I put C as my answer. B & D were out because there wasn't any extra multiplication.

-2/5(15 - 5) Subtract 5 from 15 to get 10.

-2/5(10) Multiply -2/5 by 10 to get -20/5

-20/5 Divide -20 by 5 to get -4.

-4, so G is the answer. This was negative, so H & J were out to begin with. F was out as soon as I solved the problem.

-4(-5 + x) Distribute -4 into -5 + x.

-4(-5) + (-4)x, so A is the answer. Don't get tricked! B may look right, but there should be a negative sign in front of the 5, hence why it's incorrect.

1/6(x + y) Distribute 1/6 into x + y.

1/6x + 1/6y, so J is the answer. F & G are already out because you don't multiply the variables by each other. H is also out because there wasn't any multiplication involved other than x + y being multiplied by 1/6.

Only 60(10 + 2) would have worked, so A is the answer. The tickets would have cost 720 dollars (600 + 120). B would have equated to 624 (24 + 600), C would have been 132 (6 * 22), and D would have been 600. (10 * 60).

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3 years ago

Algebra 2 questions

Law Incorporation [45]

Answer:

Step-by-step explanation:

Cancel out x-y to x^2-Y^2 and you get x+y-x-y which is 0

8 0

3 years ago