Answer:
m∠A = 91°
Step-by-step explanation:
∠A ≅ ∠B (Vertical Angle Theorem). This means that the two angles will have the same measurements.
Note that a straight line = 180° (Definition of a Straight Line).
Find the value of m∠B.
180 - 47 - 42 = m∠B
m∠B = 180 - (89)
m∠B = 91°
Remember that ∠B & ∠A are vertical angles, so they will have the same measurement.
m∠A = 91°
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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
The percent of water would be 40%
This answer is 41
9 divided by 3
+8
x 5
-2
Answer:
11.2 hours or 11 hours 12 minutes
Step-by-step explanation:
In this question, we are to calculate the amount of time spent by Sara in attending meetings weekly.
In the question, we are made to understand that she attends a meeting at a rate of 0.28 multiplied by the total amount of time she works.
To get the time she attends the meeting, we only need to multiply the decimal by the number of hours she works
Mathematically that would be 0.28 * 40 = 11.2 hours per week
We might take it further to get the time in the format of hours and minutes. That would be 0.2 * 60 yo convert the hours to minutes. This gives 12 minutes .
She attends meeting 11 hours 12 minutes per week
