The altitude of an equilateral triangle is 18 inches. Find the length of a side

Answers

Answer 1
Answer: Let the length of equilateral triangle be x.

Each of the angle in an equilateral triangle is = 60°

The opposite to the 60° is the 18 inches. Hypotenuse is the side.

Sin 60° = 18 / Hypotenuse

Hypotenuse = 18 / Sin60°.                      Sin60° = √3 / 2

 x = 18 / (√3 / 2)

                      =   18 / √3  *  2/1 =  36 / √3

              x       = 36 / √3

 Rationalize the surd = 36 / √3  * (√3 / √3 ) = 36√3 / 3

                                   x = 12√3 ≈ 12 * 1.732 ≈ 20.784

Length of side, x = 12√3 ≈ 20.784 inches.

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Write an algebraic expression for two fifths of the square of a number

Answers

The algebraic expression for two-fifths of the square of a number will be (2/5)x².

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The square of the number means the number is multiplied by itself.

The algebraic expression for two-fifths of the square of a number will be

Let the number be x.

Then the square of the number will be

⇒ x²

And the two-fifth number is expressed as,

⇒ 2/5

The algebraic expression for two-fifths of the square of a number will be

⇒ (2/5)x²

Thus, the algebraic expression for two-fifths of the square of a number will be (2/5)x².

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

"of" means you are multiplying and just use "x" to represent "a number". Therefore:

(2/5)x^2

-5r + 2r = -3 aLGREBRA

Answers

Answer:

r = 1

Step-by-step explanation:

We can combine like terms, getting -3r = -3.

Then we can divide both sides by -3, and get r = 1.

Answer:

r = 1

Step-by-step explanation:

First, we'll simplify

-5r + 2r = -3

-3r = -3

Then, we divide

-3 divided by - 3 is equal to 1

Therefore, r = 1

Hope this helps!

6x + 2y = 10 in slope intercept form

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

Slope intercept form is y = mx + b.

To solve this, you have to rearrange the equation to leave y alone.

First, you have to subtract 6x from both sides, so 2y is alone.

6x - 6x + 2y = 10 - 6x

2y = -6x + 10

Then, you have to divide both sides by 2, so y is alone.

2y/2 = (-6x/2) + (10/2)

y = -3x + 5

Hope this helps!

Which of the points plotted below satisfy the equation in the box? 

Check all that apply.

Answers

(-1,-4), (0,0), (2,8)

Round .0091 to the thousandths

Answers

The answer is 0.009.
Hope this helps!:)
0.0091 rounded to the nearest thousandths would be 0.009. This is because the 1 after the 9 is BEFORE 5 so it stays as 9, and we remove the 1. 

Answer:- .0091 rounded to the nearest thousandths is .009.

Hope I helped ya!! xD

Solve this equation: y/9 + 5 = 0. A. y = –5
B. y = 45
C. y = 5
D. y = –45
User: 12. Solve this problem: –282 – (+1,017) = ?
A. 1,299
B. –735
C. –1,299
D. 735

Answers

If you would like to solve the equation y/9 + 5 = 0, you can do this using the following steps:

y/9 + 5 = 0
y/9 = -5     /*9
y = -5 * 9
y = - 45

The correct result would be D. y = - 45.


If you would like to solve - 282 - (+ 1,017), you can do this using the following steps:

- 282 - (+ 1,017) = - 282 - 1,017 = - 1,299

The correct result would be C. - 1,299.