Answer:
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Answer:
Step-by-step explanation:
The area of the metal frame is equal to the area of the square minus the area of the circle.
The area of the square is the side length squared:
The area of the circle is 
, with 
being the radius:
Now find the area of the metal frame:
Factor out the GCF, 
Factor out a 
Answer:
Step-by-step explanation:
Let
x ----> the number of bracelet
y ----> the number of charm
we know that
The inequality that represent this situation is
Distance between T(80, 20) and U(20, 60) = sqrt((20 - 80)^2 + (60 - 20)^2) = sqrt((-60)^2 + (40)^2) = sqrt(3600 + 1600) = sqrt(5200) = 72.11 units
Distance between T(80, 20) and V(110, 85) = sqrt((110 - 80)^2 + (85 - 20)^2) = sqrt((30)^2 + (65)^2) = sqrt(900 + 4225) = sqrt(5125) = 71.59
Distance between U(20, 60) and V(110, 85) = sqrt((110 - 20)^2 + (85 - 60)^2) = sqrt((90)^2 + (25)^2) = sqrt(8100 + 625) = sqrt(8725) = 93.41
Therefore, shortest distance for the trip = 71.59 + 93.41 = 165 units.
Answer:
i. $375
ii, $2875
Step-by-step explanation:
Given
Princinpal= $2,500
rate= 7.5%
time= 2 years
Required,
The simple interest, and the final amount
Step two:
SI= PRT/100
SI= 2500*7.5*2/100
SI=37500/100
SI=$375
The simple interest is $375
And the final amount = $2,500 +$375= $2875
