Answer: option D is the correct answer
Step-by-step explanation:
The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.
Area of a sector is expressed as
#/360 × π × r^2 and # is in degrees
Therefore, area of the shaded portion or sector = 45/360 × π × 4^2
= 45/360 × 16π
= 45/360 (16π)
Given that:
a1=27, an=(an-1)+4
the second term will be:
a2=a1+4
a2=27+4=31
The explicit formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
a= first term
d=common difference
n=nth term
from the information given:
a=27
d=31-27=4
thus the explicit formula will be:
an=27+(n-1)4
an=27+4n-4
an=23+4n
Answer: an=23+4n
Since the length of this rectangle is 13 units and the width is 5 units, the area can be found this way:
A=l*w
A=13*5
A=65 so the third choice
Hope this helps!
Answer:
The answer is that she would pay $65.56 in finance charges at the end of the month.
Step-by-step explanation:
Given: APR = 19.99%
Carry Over Balance: $398.97
The APR or Annual Percentage Rate, is calculated daily. You will need to get the daily periodic rate, or DPR, so divide the APR by 365:
19.99% = .1999
.1999 / 365 = .005477 (This is the Approximate DPR, rounded up to .005477)
To get the finance charge, multiply the average daily balance by the DPR and then by 30 days:
398.97 * .005477 * 30 = $65.56 finance charge for this carry over balance, at the end of the month. This assumes that the balance is the average daily balance.
Hope this helps!! Have a great day!
Answer:
Jul 11, 2016 · - Gush Tela, a 54-year-old man who was forced to flee with his family after the town of Humera, located in Ethiopia's Tigray region, was shelled by the Ethiopian Army. He was describing the scene he encountered as he returned to the town several days later; he and his family are now in a refugee camp in Sudan (as quoted on The Guardian )
Step-by-step explanation: