Answer:
1/21
Step-by-Step Explanation:
Let's solve your equation step-by-step.
3(1−5x)=2(3x+1)
Step 1: Simplify both sides of the equation.
3(1−5x)=2(3x+1)
(3)(1)+(3)(−5x)=(2)(3x)+(2)(1)(Distribute)
3+−15x=6x+2
−15x+3=6x+2
Step 2: Subtract 6x from both sides.
−15x+3−6x=6x+2−6x
−21x+3=2
Step 3: Subtract 3 from both sides.
−21x+3−3=2−3
−21x=−1
Step 4: Divide both sides by -21.
-21x/-21=-1/-21
x=1/21
Answer:
Step-by-step explanation:
i) (64+39+18)/(175)=0.691
ii) 64/(64+17)=0.79
iii) 18/(18+15)=0.55
Answer:
Yes , Avery is correct
Step-by-step explanation:
To check if Avery is correct, we need to know the exact value obtained in each of their goals
For Avery’s team;
3/5 * 450 = $270
For Nolan’s team
5/9 * 450 = $250
Since $270 is greater than $250, we can see that Avery’s team collected more money
Answer:
1. From sin²θ +cos²θ =1 and sinθ=-2/3, we see that cosθ=√(1-sin²θ) or cosθ=√5/3, where the sign of cosine is positive as it is in Quadrant IV. x lies in 4th quadrant , cos x is +ve. , cos x = √5/3. Answer.
answer : cos x = √5/3
2. 4/3
3. sin (- theta) = - sin (x) so sin x = 1/6
tan = sin / cos = 1/6 / cos = - sqrt35/35 solve for cos
cos = 1/6 * (-35/sqrt35)
= -35 sqrt35 /210
answer : −35/√210
4. The cosine function is an even function, so cos(θ) = cos(-θ).
The relationship between sin(θ) and cos(θ) is sin(θ) = ±√(1 -cos(θ)^2)
For sin(θ) < 0 and cos(θ) = (√3)/4, sin(θ) = -√(1 -3/16) = -√(13/16)
sin(θ) = -(√13)/4 For sin(θ) < 0 and cos(0) = √(3/4), ...
sin(θ) = -√(1 -3/4) = -√(1/4) sin(θ) = -1/2
answer : -13/√4
5. answer : tan^2 θ ⋅ cos^2 θ = 1 − cos^2 θ would be the first step
Because 115 is on a line and a line equals 180, subtract 115 from 180 and you get x=65
