Answer:
By finding the least common multiples of the denominators of the two fractions
Which is 15
Step-by-step explanation:
Fraction A = 2/3
Fraction B = 3/5
To find the least common denominator of the two fractions,
Fraction A = 2/3 and Fraction B = 3/5, Sydni will have to find the least common multiples of denominator 3 and denominator 5.
Multiples of denominator 3 = 6, 9, 12, 15, 18, 21
Multiples of denominator 5 = 10, 15, 20, 25
The least common multiples of the two denominators is 15
Therefore, the common denominator of Fraction A = 2/3 and Fraction B = 3/5 is 15
Using relations in a right triangle, it is found that:
sin(x) = cos(y) = 0.6.
Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
Applying the Pythagorean Theorem, the hypotenuse is given by:
h² = 3² + 4²
h² = 25
h = 25.
Hence, applying the definitions:
Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Answer:
The expression is not factorable with rational numbers.
p
^2
+
p
q
−
p
^3
−
q
^2
Step-by-step explanation: