-3s is greater than or less than 33

Mathematics

1 answer:

astraxan [27]3 years ago

4 0

The answer for this question is less than.

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The altitude of an equilateral triangle is 4.5 in. Find it's sides.

never [62]

Answer:

Step-by-step explanation:

Let the length of each side be x. We can divide the triangle into two to get two right angled triangles which side will be x (hypotenuse), 4.5 (height), x/2 for base.

Using Pythagoras's theorem

x² = 4.5² + (x/2)²

x² = 81/4 + x²/4

x² - x²/4 = 81/4

3/4x² = 81/4

x² = 27

x = √27 = 3√3 in

3 0

3 years ago

Read 2 more answers

Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the

UNO [17]

Answer:

They are equidistant from origin.

Step-by-step explanation:

Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'?

They are equidistant from origin.

They are midpoints of segment ON and segment O prime N prime.

They are equidistant from point O.

They are midpoints of segment LN and segment L prime N prime.

Answer: If a point with location N(x, y) is rotated 90° clockwise around the origin, the new coordinate N' is at (y, -x). The distance of the two points from the origin O(0, 0) can be calculated using:

$ON=\sqrt{(y-0)^2+(x-0)^2}=\sqrt{y^2+x^2}\\ \\ON'=\sqrt{(y-0)^2+(-x-0)^2}=\sqrt{y^2+x^2}$