Answer:
<A = 56degrees
<B = 34degrees
<C = 56degrees
Step-by-step explanation:
From tyhe diagram, the sum of m<C and m<D is 180degrees. Hence;
<C + <D = 180
<C + 124 = 180
<C = 180 - 124
<C = 56degrees
Also;
<B + 90 + <C = 180
<B + 90 + 56 = 180
<B + 146 = 180
<B = 180 - 146
<B = 34degrees
Similarly;
<A + <B = 90
<A + 34 = 90
<A = 90 - 34
<A = 56degrees
For this, we have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years
Formula: A= P * ( 1+r)^t
A= $41,000
r=0.023
t= 17
<span>41,000= P * (1+0.023)^17
</span>41,000= P * (1.023)^17
41,000= P * 1.4719
P= 41,000 : 1.4719
P= $27,731.59
Therefore, the answer is C. $27,731.59
I checked by doing the opposite, and I got $41,000.01, which is the closest to the question<span>
</span>
4 united states customary cups
Answer:
∠ ABC ≈ 137.9°
Step-by-step explanation:
Using the Cosine rule in Δ ABC
cos B = 
with a = 89, b = 144, c = 65
cos B = 
= 
= 
, thus
B = 
( - 
) ≈ 137.9° ( to the nearest tenth )
Answer:
π/3 units
Step-by-step explanation:
arc length = 2πr(°/360)
= 2π*3(20/360)
= π/3 units
