Is -12, -10, -8, and -6 linear, exponential or neither

In ∆ABC, m∠A = 60º, m∠C = 30º, and AB = 6 inches. What is the length of side BC?

Alex17521 [72]

The length of the side BC is 6√3 inches

Step-by-step explanation:

Let us revise the sine rule

In Δ XYZ

The side XY is opposite to angle Z
The side YZ is opposite to angle X
The side XZ is opposite to angle Y
The sine rule is $\frac{XY}{sin(Z)}=\frac{YZ}{sin(X)}=\frac{XZ}{sin(Y)}$

In Δ ABC

∵ m∠A = 60°

∵ m∠C = 30°

∵ AB = 6 inches

- By using the sine rule

∵ AB is opposite to ∠C

∵ BC is opposite to ∠A

∵ $\frac{AB}{sin(C)}=\frac{BC}{sin(A)}$

∴ $\frac{6}{sin(30)}=\frac{BC}{sin(60)}$

- By using cross multiplication

∴ BC × sin(30) = 6 × sin(60)

∵ sin(30) = $\frac{1}{2}$ and sin(60) = $\frac{\sqrt{3}}{2}$

∴ $\frac{1}{2}$ BC = 6( $\frac{\sqrt{3}}{2}$ )

∴ $\frac{1}{2}$ BC = $3\sqrt{3}$

- Multiply both sides by 2

∴ BC = 6√3

The length of the side BC is 6√3 inches

Learn more:

You can learn more about the triangles in brainly.com/question/1238144

#LearnwithBrainly

4 0

2 years ago

What is the GCF for: 3x^3 -4x^2

serg [7]

3x^3 - 4x^2
x^2(3x - 4)

5 0

2 years ago

What number is 15% of 80? use percent proportions

vova2212 [387]

!5% is equivalent to 15 parts over the whole 100 part. It is written in proportions as 15/100.

Similarly, you need to find how many parts in 80 are equivalent to 15%or 15/100. So, just equate both equation with x as an unknown.

x/80 = 15/100
x = (15/100)*80
x = 12

Thus, the 15% of 80 is 12.

8 0

2 years ago

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?

Shalnov [3]

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5) are the coordinates of the center of the circle.

r=6 is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

6 0

3 years ago

The sign of the product of –35 and –625 is

Anarel [89]

Step-by-step explanation:

The mathematical sign for the operation is subtraction.

To Solve This You Will Need To;

1] The sign of the product of -35 and -625 is;

It's going to be;

-35--625

The negative sign will turn into addition sign before you can operate it. So it's going to be;

-35+625=590(positive)

It's just like subtracting 35 from 625.

2] The sign of the product of 263 and 0 is;

263-0

With this no quantity is going to be subtracted so the 263 will remain the same. 

So 263-0=263(positive)

3] The sign of the product of -21 and 451 is;

-21-451

With this you won't subtract but rather you'll add and when you add the answer is going to be -472

-472(negative)

4] The sign of the product of -350 and 89 is;

-350-89

With this you will add it but you won't subtract the negatives so it's going to be;

-350-89=-439(negative)

Hope I am Correct I didn't really understand your question well. But Good Luck:)

3 0

3 years ago

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