Begin with cos(θ) = 5/13, θ in Quadrant IV
you should distinguish the 5-12-13 right-angled triangle
and then cosØ = adjacent/hypotenuse
x = 5, r = 13 , y = -12, since Ø is in IV
and sinØ = -12/13
also tan(ϕ) = −√15 = -√15/1 = y/x and ϕ is in II,
y = √15 , x = -1
r^2 = x^2 + y^2 = 15+1 = 16
r = 4
sinϕ = √15/4 , cosϕ = -1/4
you must know that:
cos(θ − ϕ) = cosθcosϕ + sinθsinϕ
= (5/13)(-1/4) + (-12/13)(√15/4)
= -5/52 - 12√15/52
= (-5-12√15)/52
Answer: 120 beats per 45 seconds
Step-by-step explanation:
Answer:
yes it's a perfect square
The solution of the equation 20x = x + 3 will be 3 / 19. Then the correct option is A.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
Ten times a number, x, is one-half the sum of the number and three. Then the equation will be
10x = 1/2(x + 3)
Simplify the equation, then we have
20x = x + 3
19x = 3
x = 3 / 19
The solution of the equation 20x = x + 3 will be 3 / 19. Then the correct option is A.
The missing options are given below.
A. 10x = 1/2(x + 3)
B. 10x = 1/2x
C. 10x = 1/2x + 3
D. 10x = (x + 3)
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ4
<span>Let the distance a string will stretch be l, and the weight attached to the string be w, then l = kw. 9 = 100k => k = 9/100. l = 9/100 w. Therefore, when a weight of 90 pounds is attached, l = 9 / 100 x 90 = 810 / 100 = 8.1 inches.Hope I helped! :) Cheers!I hope that I could help :) sometines those questions are tricky. Let me know if you need additional help</span>
