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3 years ago

Help please and simplify answer in radical form if needed

Mathematics

1 answer:

deff fn [24]3 years ago

6 0

Answer:

$16\sqrt{3}\:\mathrm{units^2}$

Step-by-step explanation:

The area of an equilateral triangle with side length $s$ is equal to $\frac{\sqrt{3}}{4}s^2$ . Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is $24\div 3=8$ units.

Substituting in this value, we get:

$\frac{\sqrt{3}}{4}8^2=\frac{64\sqrt{3}}{4}=\boxed{16\sqrt{3}}$

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Can someone please answer this for me it's for a homework assignment.

Ulleksa [173]

Slope as an (improper fraction)-9/7, it can’t be simplified

5 0

3 years ago

Thanks for your response!<br> Question will be show✔

algol13

<h3>Answer:</h3>

$\large\boxed{-1\frac{16}{25},\,\frac{6}{40},\,0.35,\,1\frac{3}{4}}$

<h3>Step-by-step explanation:</h3>

In this question, it's asking you to put the numbers that were given from <em>least </em>to <em>greatest.</em>

Our given numbers are:

$\frac{6}{40}$
0.35
$1\frac{3}{4}$
$-1\frac{16}{25}$

Now, lets sort them out.

We know that negative numbers would be the least. Sicne there's only one negative number, we would put that first because it's the least out of the numbers.

$\frac{6}{40}$ would go next. To make it easier, we can turn it into a decimal. $\frac{6}{40} = 0.15$ when you divide.

0.35 will go next. This would be bigger than 0.15, but lower than the next number.

$1\frac{3}{4}$ would go last, due to the fact that it's the greatest. $1\frac{3}{4}$ is the same as 1.75

When you put them in order, you should get $-1\frac{16}{25},\,\frac{6}{40},\,0.35,\,1\frac{3}{4}$

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

4 0

3 years ago

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fix

dimulka [17.4K]

Let X be the number of energy drinks sold.

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fixed cost each month of $8000.

The manufacturing cost for X energy drinks is

$1.20x$

Fixed cost is $8000.

Therefore, cost function is

$C(x)=1.20x+8000$

Selling price of each drink is $2.

Therefore, the revenue function is

$R(x)=2x$

Hence, the revenue function is

$R(x)=2x$

6 0

1 year ago

The strength of a cable is proportional to the square of its diameter. If a 2-cm cable will support 800kg, how much will a 3-cm

xz_007 [3.2K]

Strength [is proportional to] d^2
strength1/(d1)^2 = strength2/(d2)^2
800kg/(2cm)^2 = strength2/(3cm)^2
strength2 = 800 kg * (3 cm)^2/(2 cm)^2
strength2 = 800 kg * 3^2/2^2
strength2 = 800 kg * 9/4
strength2 = 1800 kg

3 0

3 years ago

Round 8.54951607694 to 6 decimal places.

Ratling [72]

Answer:

8·549516

Step-by-step explanation:

To round the number given to 6 decimal place, we will follow the steps below;

First count six digits after the decimal point

Then after the six digit number take the next number and see if it below 5 then this means you will be rounding down, so you will leave your six digit after the decimal points the way they are and discard the other digits after the the six digits, but if the digit number right after the sixth digit is 5 and above, then you will be rounding up, you will add one to your sixth digit and then discard the digits after the sixth digits.

That is;

In the number given: 8.54951607694

The sixth digit after the decimal point is 6, the number that comes after it is zero, so we will leave the 6 the way it is and discard the other digits after 6

8.54951607694 ≈ 8·549516 to 6 decimal place

4 0

3 years ago