Answer:
C. The hypotenuse measures twice the distance of the shorter leg.
B. The longer leg is √3 times the length of the shorter leg.
Step-by-step explanation:
A 30-60-90 triangle is considered a right triangle. Triangles containing a right angle are classified as right triangles. Only one right angle can exist in such a triangle. The representation of this case is illustrated below. Let’s clarify why the proposed statements are valid:
The hypotenuse of a right triangle is always opposite to the right angle. If we designate 
as the shorter leg, the sine law affirms that the hypotenuse is:
This indicates that the hypotenuse is double the length of the shorter leg
The longer leg, which we can call 
, can be determined with the Pythagorean Theorem:
Thus, it is accurate that the longer leg is √3 times longer than the shorter leg.
1.) <span>The ratio of note A compared to middle C is 440.0 / 261.6 = 1.6820 ≈ 1.6818
2.) </span><span>The D note's ratio against middle C is 293.7 / 261.6 = 1.1227
3.) </span><span>D# = 293.6 multiplied by 1.0595 equals 311.1
4.) </span><span>The frequency ratio of G compared to C is 1: 262/392 = 1: 0.6683 ≈ 3: 2
5.) </span><span>The frequency ratio of E to C is 1: 262/330 = 1: 0.7939 ≈ 5: 4
6.) The </span><span>element in a musical note referred to as pitch is the frequency.</span>
We apply the slope formula by substituting the given points.
Here, x2 equals 5 and x1 equals -2; y2 equals -3 and y1 equals 6.
Thus, the line's slope is -9 divided by 7.
Answer:
The converse is:
If the ratio of left-handers to right-handers is 1: 8, then for every 3 left-handed individuals, there are 24 right-handed individuals.
The truth value is: True
Step-by-step explanation:
This statement can be expressed as:
p -> If a class contains 3 left-handed individuals and 24 right-handed individuals,
q -> the ratio of left-handed to right-handed individuals is 1:8.
The converse of a conditional statement is:
if q then p.
Thus, we have the converse as:
if the ratio of lefties to righties is 1: 8, then for each 3 left-handed individuals, there are 24 right-handed individuals.
The truth value is as follows:
For p, we find the ratio = 3: 24,
which simplifies to.
Ratio = 1: 8.
For q, we have:
Ratio = 1: 8.
Since both conditions are accurate, the truth value is true.
