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dexar [7]
3 years ago
11

In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

Mathematics
1 answer:
kompoz [17]3 years ago
7 0
<span>Theorem.</span><span>  </span>In a 30°-60°-90° triangle the sides are in the ratio 1 : 2 :  ;
Because the length of the hypotenuse is 30 , the length of the longer leg is 15 \sqrt{3} ;

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How many terms are in (3x^2-3)(3x^2+3)
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The number of terms in the expression given is; 2.

<h3>How many term are in the expression given?</h3>

It follows from the task content that the expression given is; (3x^2-3)(3x^2+3).

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2 years ago
Can i pls get help asap i will give brainly if the answer is right
Zanzabum
<h3>Answer:   0.5</h3>

This is equivalent to the fraction 1/2

==============================================================

Explanation:

The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.

|A-B| = |-5-(-8)| = |-5+8| = |3| = 3

or

|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3

We can say that segment AB is 3 units long.

--------------------------

The distance from A' to B' is 1.5 units because...

|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5

or

|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5

The absolute values ensure the distance is never negative.

We can say A'B' = 1.5

---------------------------

Now divide the lengths of A'B' over AB to get the scale factor k

k = (A'B')/(AB)

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k = 0.5

0.5 converts to the fraction 1/2.

The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.

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