Remember the pythagorean theorem.
a^2 + b^2 = c^2
The complex number is a+bi, the absolute value is 'c'
Answer:
5/3
Step-by-step explanation:
Trigonometric ratio
Cot θ = Adjacent side/Opposite side
It is given that,
Cot θ = 4/3
Adjacent side = 4
Opposite side = 3
Csc θ = Hypotenuse/Opposite side
To find the Hypotenuse
Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²
Hypotenuse = √(3²+ 4²) = 5
To find Csc θ
Csc θ = Hypotenuse/Opposite side = 5/3
Answer:
The least common multiple of 6, 15 and 40 is <u>120</u>.
The least common multiple of 32, 48 and 72 is <u>288</u><u>.</u>
The LCM of 20 and 24 is <u>120</u>.<em> </em>
The LCM of 30 and 90 is <u>90</u>.
The LCM of 150 is <u>900</u>.
Step-by-step explanation:
<u>Steps to find LCM</u>
- Find the prime factorization of 150. 150 = 2 × 3 × 5 × 5.
- Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.
- LCM = 2 × 2 × 3 × 3 × 5 × 5.
- LCM = 900.
Answer:
yehwe have decided on this number