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4 years ago

If the area of an equilateral triangle is 9√3 sq ft, how long is a side?

Mathematics

1 answer:

tensa zangetsu [6.8K]4 years ago

3 0

<span>Area = 9√3 = (a^2√3)/4
</span><span>Simplify
a^2=36
a=6 the side</span><span>a= 6 ft
Hoped this helped!</span>

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How do I do this problem?

Oduvanchick [21]

$4b+18\leq-12b-14\leq14-5b\\4b+18\leq-12b-14\,and\,-12b-14\leq14-5b\\4b+12b\leq-14-18\,and\,-14-14\leq-5b+12b\\16b\leq-32\,and\,-28\leq7b\\b\leq-\frac{32}{16}\,and\,-\frac{28}{7}\leq b\\b\leq-2\,and\,b\geq-4\\-4\leq b \leq-2$

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3 years ago

Simplify −0.6(−6.3) answer??

Leno4ka [110]

3.78
All you need to do is plug in the numbers to your calculater, but since I'm guessing your in grade school, and they don't allow calculaters yet, you would need to understand that when two negatives multiply each other, they become positive, so you can just put
0.6
x 6.3
---------
and then just multiply as usual (ignore the decimals for now)
and then you would get 378.
Now, what you would do is because there is too decimal points in the two numbers you are multiplying, you put them into 378, making it 3.78.]

I'm sorry if it was confusing, I hope it helped!

7 0

3 years ago

Read 2 more answers

The bookstore sells packages of 15 pens

AlexFokin [52]

Considering the definition of least common multiple, this means that smallest number of packages of each they can buy is 60.

<h3>Least common multiple</h3>

A number is a multiple of another when it contains it exactly n times. In other words, the multiples of a number are the ones you get when you multiply one number by another.

The least common multiple allows us to know what is the smallest number that is a multiple of a certain set of numbers.

One procedure for calculating the least common multiple is to break each number into prime factors. Then the common and uncommon factors are raised to the highest exponent, which must be multiplied.

<h3 /><h3>Smallest number of packages</h3>

To calculate the smallest number of packages of each they can buy, you calculate the least common multiple.

First, the decomposition of the numbers into prime factors is carried out:

15= 3×5

12= 2×2×3= 2²×3

Then, the least common multiple is calculated as 2²×3×5

Solving, the least common multiple between 12 and 15 is 60.

Finally, this means that smallest number of packages of each they can buy is 60.

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2 years ago

Factorise and solve x^2 + 4x -21 = 0

Korvikt [17]

Answer:

(x + 7) (x - 3)

Step-by-step explanation:

Find 2 numbers that add to 4 and multiply to -21

(x + 7) (x - 3)

3 0

3 years ago

Read 2 more answers

-3/v=-6 simply as much as possible

Aleksandr [31]

Hey!

In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

<em>Original Equation :</em>
$\frac{-3}{v} = -6$

<em>New Equation {Added Multiply Both Sides by V} :</em>
$\frac{-3}{v} v=-6v$

<em>Solution {New Equation Solved} :</em>
$-3 = -6v$

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

<em>Old Equation :</em>
$-3 = -6v$

<em>New Equation {Switched} :</em>
$-6v=-3$

Now we'll divide both sides by v to get v on its own.

<em>Old Equation :</em>
$-6v = -3$

<em>New Equation {Added Divide Both Sides by V} :</em>
$\frac{-6v}{v} = \frac{-3}{v}$

<em>Solution {New Equation Solved} :</em>
$v = \frac{1}{2}$

<em>So, this means that in the equation $\frac{-3}{v} =-6$ ,</em> $v = \frac{1}{2}$ .

Hope this helps!

- Lindsey Frazier ♥

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3 years ago