A hardware store sells a 5-pound box of nails for $16.80. The store is having a 20 percent off sale on all merchandise. What is
2 answers:
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Answer:
The common difference (or common ratio) = 0.75
Step-by-step explanation:
i) let the first term be = 80
ii) let the second term be =
. r = 80 × r = 60 ∴ r =
= 0.75
iii) let the third term be =
. r = 60 × r = 45 ∴ r =
= 0.75
iv) let the fourth term be =
. r = 45 × r = 33.75 ∴ r =
= 0.75
Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.
If the measure of central angle is 3π /4 radians, then the area off the shaded sector is 96π square units
The radius of the circle = 16 units
The central angle of the shaded region = 3π /4 radians
The area of the sector = (θ/ 360) × πr^2
Where θ is the central angle of the sector
r is the radius of the sector
Substitute the values in the equation
The area of the sector = ((3π /4) /360) × π × 16^2
Convert the radians to the degrees
= (135/360) × 256π
Multiply the terms
= 96π square units
Hence, the area of the shaded sector is 96π square units
The complete question is
The measure of central angle XYZ is 3 pie / 4 radians. What is the area of the shaded sector?
Learn more about area of the sector here
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