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3 years ago

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

1 answer:

8 0

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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An instructor reports that as the number of student interruptions during class decreases, student scores on in-class quizzes inc

jekas [21]

Answer:

Negative correlation

Step-by-step explanation:

In a negative correlation, as one variable increases, the other variable decreases, and as one variable decreases, the other variable increases. In positive correlation, as one variable increases, so does the other and as one variable decreases, so does the other.

In the given question, as the number of student interruptions during class decreases, student scores on in-class quizzes increase. So, this an example of a negative correlation.

6 0

3 years ago

Please help!!!!!!!!!!!!!

aivan3 [116]

Answers:

Step-by-step explanation:

We must simplify each option to see if they are equivalent to $-\frac{3}{8}$ .

Lets try A.

$-\frac{6}{16}$ can be simplified to $-\frac{3}{8}$ by dividing both the numerator and denominator by 3.

$-\frac{6}{16}$ ÷ $\frac{3}{3} = -\frac{3}{8}$

A is correct!

Lets try B

$\frac{12}{32}$ simplifies to $\frac{3}{8}$ . However, because this answer is not negative, it is not equivalent.

Lets try C

There is a negative in the numerator, making this fraction negative. So yes, $\frac{-3}{8} = -\frac{3}{8}$ .

Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive

C is correct!

Lastly, Lets try D

There is a negative in the denominator, so this fraction is negative. $\frac{9}{-24}$ can be simplified by dividing by 3 to $-\frac{3}{8}$ .

$\frac{9}{-24}$ ÷3 = $-\frac{3}{8}$

D is correct!

Hope this helped you!~

6 0

3 years ago

Factor the expression. 15n−18

Taya2010 [7]

Divide each term by 3...
15n - 8 = 3(5n - 6)

6 0

3 years ago

Read 2 more answers

State the slope of the line perpendicular to the line -2x+5y=12

defon

Answer:

- 5/2

Step-by-step explanation:

Arrange this line equation into y = mx + b form m = slope

y = 2/5x + 12/5

then perpindicular line = - 1/m = - 1/ (2/5) = - 5/2

5 0

2 years ago

Which are equal to 3/2?

KIM [24]

Explanation:

Starting with the first option, the square root of 12 and 8 isn’t a perfect square so it definitely can’t be reduced to 3/2.

It is the same for the second option as well.

Third option :
Root of 36 is 6
Root of 16 is 4

6/4 = 3/2

Fourth option:
Root of 81 is 9
Root of 36 is 6

9/6 = 3/2

Answer:

Therefore, the third and fourth options are the correct choices.

Hope this helped!

6 0

3 years ago