Answer:
280.8
Step-by-step explanation:
Since 100% is the full amount, and it is 35% off you add 35 to the 100. So you get 1.35. You finally multiply by 207 and get 280.8
The missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
<h3>How to find vertically opposite angles?</h3>
We want to prove that m∠BOC = 90°.
We are given that m∠AOB is a right angle triangle. Thus;
m∠BOC must also be equal to 90°
Now, since m∠BOC and m∠AOB are right angles, then it means that we must equally say that m∠DOA and m∠BOC are vertical opposite angles and they are as such equal.
Thus, the missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
Read more about vertical opposite angles at; brainly.com/question/24425517
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A number is rational if it can be written in form a/b where a and b are integers and b is not equal to 0
integers are like -4,-3,-2,-1,0,1,2,3,4, etc
so
√20=2√5 which is irrational because we can't write it as a fraciton with only integers
also a rational number multilied by an irratinonal number=irrtaional
we know that the square root of any prime number will be irrational and 5 is prime so 2 times √5=rational times irrational=irrational
√20 is irrational
Answer:
2.29 rads
Step-by-step explanation:
The length of the arc of a circle of radius r is given by;
l = rθ ---------------------------(i)
Where;
l = length of the arc
θ = central angle o that intercepts that arc and measured in radians.
From the question:
l = 16ft
r = 7ft
Substitute these values into equation (i) as follows;
16 = 7θ
Make θ subject of the formula
θ = 
θ = 2.29
Therefore, the radian measure of the central angle is 2.29 rads
The arc length of the partial circle is 7.5π
<h3>Calculating arc length</h3>
From the question, we are to determine the arc length of the partial circle
The length of an arc can be calculated by using the formula
Where 
is the length of the arc
is the angle subtended
and r is the radius
From the diagram,
θ = 270°
r = 5
Putting the values into the equation, we get
OR 7.5π
Hence, the arc length of the partial circle is 7.5π
Learn more on Calculating arc length here: brainly.com/question/16552139
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