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3 years ago

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

1 answer:

6 0

The area of an equilateral triangle is always:

A=√((3s^4)/16) or if you prefer: A=(s^2/4)√3

So if A=9√3 we have:

9√3=(s^2/4)√3

9=s^2/4

s^2=36

s=6 feet

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meriva

Answer:

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7 0

3 years ago

Which expression is equivalent to 10√5<br>A. √500<br>B.√105<br>C.√50<br>D.√15

julsineya [31]

50 is the answer to this question

3 0

3 years ago

A movie theater charges $15 for standard viewing, $20 for 3D viewing, and $35 for Dinner and a

Ludmilka [50]

The quantity of each type of seats sold are as follows:

Standard viewing = 2000

3D seats = 800

Movie and a dinner seat = 200

According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.

That is, x = 4y

Also, total seats

= (x) + (y) + (z) = 3000...….............eqn(1)

Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.

20x + 35y + 15z = 53000...........eqn(2)

By substituting 4y for x in equations 1 and 2; we have;

<em>5y + z = 3000</em>..…........eqn(3) and

<em>115y + 15z = 53000</em>.........eqn(4)

By solving equations 3 and 4 simultaneously; we have;

y = 200 and z = 2000

and since x = 4y

x = 800

The quantity of each type of seats sold is as follows:

Standard viewing = 2000

3D seats = 800

Movie and a dinner seat = 200

Read more:

brainly.com/question/12413726

5 0

3 years ago

2. what value of b makes the following equation true

Svetradugi [14.3K]

Answer:

2. 10

3. D. 1 for all n

Step-by-step explanation:

2. The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^b = 1/a^-b

$\dfrac{4^8}{(4^2)^{-3}}\div 4^4=\dfrac{4^8}{4^{-6}\cdot4^4}=\dfrac{4^8}{4^{-2}}\\\\=4^8\cdot4^2=4^{10}$

The value of n is 10.

3. Using the above rules of exponents, the expression simplifies to ...

6^(-n+n) = 6^0 = 1

The value is 1 for any n.

4 0

3 years ago

Use the commutative property to simplify the expression 4/3 + 3/4 + 2/3

saw5 [17]

The simplified expression using the commutative property is : $\frac{6}{3}$ + $\frac{3}{4}$

<h3>Meaning of commutative property</h3>

commutative property can be defined as a mathematics attribute that is possessed by a mathematical equation, that enables the objects undergoing addition or multiplication to change position.

In conclusion, The simplified expression using the commutative property is : $\frac{6}{3}$ + $\frac{3}{4}$

<h3>Analysis</h3>

4/3 + 3/4 + 2/3 = ( $\frac{4}{3}$ + $\frac{2}{3}$ ) + $\frac{3}{4}$ = $\frac{6}{3}$ + $\frac{3}{4}$

Learn more about commutative property: brainly.com/question/1528288

#SPJ1

7 0

2 years ago