Answers:
minor arc RP = 125 degrees
minor arc QS = 125 degrees
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Explanation
Definition: A minor arc is a piece of a circle such that it is smaller than a semi-circle with the same radius. In other words, it's measure is always less than 180 degrees.
Based on this definition, a minor arc is where we take the shortest path between any two points on a circle. For minor arc RP, we start at R then go to the right and take the shortest path to P. We do not go left when we start at R because that's the longer path and it is the major arc.
Minor arc RP is subtended by central angle ROP = 120 degrees. This central angle is equal to the arc measure in question. This isn't really a theorem, but more a definition if anything.
Central angle QOS is equal to angle ROP through the vertical angles theorem. Any pair of vertical angles are always congruent. Since QOS is 125 degrees, so is minor arc QS.
Make sure you know the formula pertaining to the question.
1. c=2(pi)(r)
2. c=2(pi)(d)
r= radius
d= diameter
c= sircumference
So we are given that the circumference of a circle is 12.3pi and the radius is unknown.
So let's plug in the known values
**we use the formula with the radius, becuase we are looking for the radius.
c=2(pi)(r)
12.3(pi)=2(pi)(r)
divide each side by pi
12.3=2(r)
divide each side by 2
r=6.15 in.
Answer:
59)
Therefore the height of the pyramid is 14 meter.
60)
Therefore the Diameter of Cone is 17.32 cm.
Step-by-step explanation:
59 )
Given:
Shape is Rectangular Pyramid,
Length = 3 meter
Width = 8 meter
Volume of Rectangular Pyramid = 112 cubic meter
To Find:
Height:
Solution:
We Know,
Substituting the given values we have
Therefore the height of the pyramid is 14 meter.
60 )
Thee shape is of Cone
Given:
Height= 5 cm
Volume of cone = 125 π cm³
To Find:
Diameter of a cone = d = ?
Solution:
We know,
Substituting the given values we have
Therefore the Diameter of Cone is 17.32 cm.
5 1/2 - 3/8
Make 5 1/2 into a improper fraction
5 1/2=11/2. Mutiply the whole number with the denominator. 5*2= 10. Add 10 with the numerator. 10+1= 11
11/2-3/8.
Find the common denominator for 11/2 which is 8. Mutiply by 4
11(4)/2(4)= 44/8
44/8-3/8= 41/8= 5 1/8
Answer: 41/8 or 5 1/8
I know I might be wrong on this but I think its28
