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2 years ago

Which THREE pairs of measurements are possible side lengths for a 30-60-90 triangle?

Mathematics

1 answer:

9966 [12]2 years ago

4 0

Answer:

1, 5 and 6.

Step-by-step explanation:

The sides of this triangles has lengths in the ratio x : √3x : 2x where 2x is the hypotenuse.

When C = 30, the side AB is the small leg (=x).

When B = 90, the hypotenuse is AC ( =2x).

When A = 60, the larger leg is BC (=√3x).

1. AB = 4, BC = 4√3 :- Are possible legs.

5 AB = 7, AC = 14. :- AB = small leg, AC = hypotenuse.

6. AB = 11, BC = 11√3:- AB = small, BC = larger leg.

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(x³ + ³) / (x - y)<br> Do not include parentheses in your answer.

Lubov Fominskaja [6]

The simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

<h3>Complete question</h3>

Simplify the expression: (x³ + (-y)³) / (x - y)

Do not include parentheses in your answer.

<h3>How to simplify the expression?</h3>

The expression is given as:

$\frac{x^3 + (-y)^3}{(x - y}$

Open the inner bracket

$\frac{x^3 -y^3}{(x - y}$

Apply the difference of two cubes to the numerator

$\frac{(x-y)(x^2+xy+y^2)}{(x - y}$

Cancel out the common factors

$x^2+xy+y^2$

Hence, the simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

Read more about expressions at:

brainly.com/question/723406

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4 0

1 year ago

Write equation for the line with a slope "undefined" and has the same x-intercept as x−y−1=0

Mariana [72]

Answer:

Step-by-step explanation:

Lines with undefined slopes are perfectly vertical, of the form "x = ". A line with "the same x-intercept" as the given line that has an undefined slope will be the line that we want. I know that sounds confusing; we'll work through it then I'll explain it better. In order to find the x-intercep of the given line, solving it for y will make it a bit easier to "see". Therefore,

-y = -x + 1 and

y = x - 1. The x-intercept exists when y = 0, so setting y equal to 0 and solving for x:

0 = x - 1 and

1 = x. That's the x-intercept. It's also the line that we want that has an undefined slope, because "x = " lines are lines vertical lines and vertical lines have undefined slopes.

x = 1 is the line you want.

8 0

2 years ago

West of Checkpoint A, which is at (0,5), are two hurdles that Helena needs to jump over. Hurdle 1 is 4 units west of Checkpoint

jeka94

Answer:

Coordinate of Checkpoint B is (-9,5)

Step-by-step explanation:

Here is an inserted image of the graph and coordinates.