Answer:
First option: cos(θ + φ) = -117/125
Step-by-step explanation:
Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.
Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.
Therefore:
cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)
cos(θ + φ) = (-96/125) - (21/125)
cos(θ + φ) = -96/125 - 21/125
cos(θ + φ) = -117/125
Answer:
3x+5=5x-9(llgram oppositesides are equal)
3x-5x= -9-5
-2x=-14
x= -14/-2
x=7
Answer:
Step-by-step explanation:
3x + 1 = 10
3x = 10 - 1
3x = 9
x = 9/3
x = 3
hope this helps
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Answer:
Total charge= -25
Step-by-step explanation:
Given :
Charges of some ions
Aluminium +3
Phosphate -3
Chloride -1
Silver +1
To find total charge on 8 phosphate,7 chloride and 2 Aluminium atoms
Aluminium +3 × 2 =+6
Phosphate -3 × 8 = -24
Chloride -1 × 7 = -7
total charge=
+6-24-7 =+6 -31
= -25
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
In this question, we're evaluating the given expression.
The given expression is:
We would simply solve the equation until we reach our final answer.
Solve:
A friendly reminder is when you see something like "-(-", you would turn it into a plus sign.
When you're done solving, you should get 10.
This means that 10 would be your final answer.
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
