Answer:
x = 29
Angle A = 46.4°
Angle B = 43.6°
Step-by-step explanation:
Since it is a right angle triangle, we can find x from pythagoras theorem;
x = √(20² + 21²)
x = √(400 + 441)
x = √841
x = 29
Using trigonometric ratios we can find angles A and B.
Opposite is 20
Adjacent is 21
Thus; opp/adj = tan B
20/21 = tan B
B = tan^(-1) 0.9524
B = 43.6°
Sum of angles in a triangle is 180°. Thus;
A = 180 - (90 + 43.6)
A = 46.4°
1/5
1/10 / 1/2= 2/10
Then simplify it by 2, it becomes D.1/5
20/60 = 10/x
Cross multiply 10 with 60
600
Divide by 20
30.
It will take 30 minutes.
APR=18%
Monthly interest = 18/12=1.5%
If Caitlyn paid before due date,
amount liable for interest charges = 375-250 = $125
Interest charge for the month
=$125*1.5%
=$1.88
If a single expression is required, then
interest = (375-250)*0.018/12 = $1.88 to the nearest cent.
The formula for the area of a sector in radians is
, where theta is the angle in radians. For us, the formula looks like this:
. Doing all the multiplication on that gives us
. Multiplying in pi and rounding to the nearest tenth gives us an area of 76.3 meters squared. You can use the formula for the area of a sector with the angle in degrees as well. Just replace the 360 degrees with 2pi and it works the exact same way.
