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Answer:
Step-by-step explanation:
(1)The units for measuring angles are degrees and radians
A circle is 360° which is equal to 2π radians
1°=π/180
To convert angle measurement from degrees to radians multiply the value of degrees by π/180
(11)
To convert angle measurement from radians to degree multiply the value of radian by 180/π
(111)Yes it matters because you will use different formulas to calculate the length of the arc
For example , when the central angle is in radians, the formula to apply is;
⇒ S=rФ -------------where r is the radius of circle and Ф is angle in radians and S is the arc length.
⇒ When the central angle value is in degrees , the formula to apply is
Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle
2.
we know π=180°
hence 17/6 π=?---------------cross multiply
Apply trigonometry
Find sine 510°
Sine (510°-360°)= sine 150°
Sine 150° = sine 30° = 1/2-----------------2nd quadrant
This means sine 510° = 1/2
Answer:
It would take the newer pump 4.5 hours to drain the pool
Step-by-step explanation:
Let's investigate first what is the fraction of the job done in the unit of time (hour in this case) by each pump if the work individually:
older pump: if it takes it 9 hours to complete the job, it does of the job in one hour.
newer pump: we don't know how long it takes (this is our unknown) so we call it "x hours". Therefore, in the unit of time (in one hour) it would have completed of the total job.
both pumps together: since it takes both 3 hours to complete the job, in one hour they do of the job.
Now, we can write the following equation about fractions of the job done:
<em>The fraction of the job done by the older pump plus the fraction of the job done by the newer pump in one hour should total the fraction of the job done when they work together.</em> That is in mathematical terms:
and solving for x: