Using Sine.

Sine = Opposite / Hypotenuse

sin 60° = a / (6√3) But sin60° = √3/2

√3/2 = a/(6√3)

Cross multiply

2*a = 6√3 * √3

2a = 6 * √(3*3)

2a = 6*3

a = 6*3/2

a = 3*3 = 9

Option E.

Hope this helps.

4 0

3 years ago

20 PTS!

mafiozo [28]

Answer:

finding the number of equal-sized parts into which a number can be split

Step-by-step explanation:

Let us split the number 80 into 10 equal parts.

80 = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8

= 8 + 8 + 8 +...to 10 times

= 8(10)

or $\frac{80}{10} =8$

So, if N is any number and p is one of its equal part, then the number of parts into which N is split by p is $\frac{N}{p}$ .

Hence, finding the number of equal-sized parts is best modeled with a division expression.

4 0

4 years ago

Read 2 more answers

Which algebraic expression is equivalent to the expression below?

Anarel [89]

Answer:

A. 4x²+20x+25

Step-by-step explanation:

Because of PEMDAS, you calculate the value inside of the parenthesis first, so you expand [2x+1-(4x+6)]:

2x+1-4x-6 = -2x-5.

Then apply the exponent:

(-2x-5)² = (-2x-5)(-2x-5) = 4x²+10x+10x+25 = 4x²+20x+25

4 0

3 years ago

Read 2 more answers

The model below represents the equation shown. What is the value of x?

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

4 0

4 years ago