Answer:
Sum of all three angles inside a triangle = 180°
Total number of parts = 3 + 10 + 7 = 20
Each part = 180 ÷ 20 = 9
Let us name the three angles of this triangle as ∠1 , ∠2 and ∠3 respectively .
Number of parts for ∠1 = 3 parts
∠1 = 3 × 9 = 27°
Number of parts for ∠2 = 10 parts
∠2 = 10 × 9 = 90°
Number of parts for ∠3 = 7 parts
∠3 = 7 × 9 = 63°
The three angles of this triangle measure 27° , 90° and 63° respectively
Measure of the smallest angle = 27°
Therefore , the measure of the smallest angle = 27° .
I suppose the integral is

The integration region corresponds to a sector of a cirlce with radius 5 subtended by a central angle of π/4 rad. We can capture this region in polar coordinates by the set

Then
,
, and
. So the integral becomes

THE answer is 0.66 repeating 9 times
then 7
Answer:
Amount ($451.9), Interest ($51.9)
Step-by-step explanation:
We need to use the formula of A = P(1 +
)^n*t
A = Total Amount
P = Principle/Deposited money
R = Annual Interest Rate
N = Number of times compounder per year
T = time in years
We have P = $400, r = 2.47%, n = 1 and t = 5 years.
Now lets plug it all in!



A = 451.9
Now we need to find the interest...
We will use A = P + I since A is 451.9 and P = 400
451.9 = 400 + I
I = 451.9 - 400
I = 51.9